All Matches
Solution Library
Expert Answer
Textbooks
Search Textbook questions, tutors and Books
Oops, something went wrong!
Change your search query and then try again
Toggle navigation
FREE Trial
S
Books
FREE
Tutors
Study Help
Expert Questions
Accounting
General Management
Mathematics
Finance
Organizational Behaviour
Law
Physics
Operating System
Management Leadership
Sociology
Programming
Marketing
Database
Computer Network
Economics
Textbooks Solutions
Accounting
Managerial Accounting
Management Leadership
Cost Accounting
Statistics
Business Law
Corporate Finance
Finance
Economics
Auditing
Ask a Question
Search
Search
Sign In
Register
study help
business
financial accounting information for decisions
Questions and Answers of
Financial Accounting Information For Decisions
Given that tan θ = 2/3 and that θ is reflex find the value ofa. sin θb. cos θ.
The graph of y = a + b cos cx, for 0° ≤ x ≤ 360°, is shown above.Write down the value of a, the value of b and the value of c. y. 4- 3- 2- 1- 60 120 180 240 300 360 A O 5 321
a. On the same grid, sketch the graphs of y = |tan x| and y = cos x for 0° ≤ x ≤ 360°.b. State the number of roots of the equation |tan x| = cos x for 0° ≤ x ≤ 360°.
Solve each of these equations for 0° ≤ x ≤ 360°.a. 4 sin x = cos xb. 3 sin x + 4 cos x = 0c. 5 sin x – 3 cos x = 0d. 5 cos 2x – 4 sin 2x = 0
Solve each of these equations for 0° ≤ x ≤ 360°.a. 3 tan2 x – sec x – 1 = 0b. 4 tan2 x + 8 sec x = 1c. 2 sec2 x = 5 tan x + 5d. 2 cot2 x – 5 cosec x – 1 = 0e. 6 cos x + 6 sec x = 13f.
a. Express 5 sin2 x – 2 cos2 x in the form a + b sin2 x.b. State the range of the function f(x) = 5 sin2 x – 2 cos2 x for 0 ≤ x ≤ 2π.
On a copy of the axes below sketch, for 0 ≤ x ≤ 2π, the graph ofa. y = cos x – 1b. y = sin 2x.c. State the number of solutions of the equation cos x – sin 2x = 1, for 0 ≤ x ≤ 2π. 2- 0-
Given that tan A = 4/3 and cos B = - 1/√3, where A and B are in the same quadrant, find the value ofa. sin Ab. cos Ac. sin Bd. tan B.
a. The following functions are defined for 0° ≤ x ≤ 360°.For each function, write down the period and the equations of the asymptotes.i. f(x) = tan 2xii. f(x) = 3 tan 1/2xiii. f(x) = 2 tan 3x +
a. On the same grid, sketch the graphs of y = |sin 2x| and y = tan x for 0° ≤ x ≤ 2π.b. State the number of roots of the equation |sin ex| = tan x for 0° ≤ x ≤ 2π.
Solve 4 sin(2x – 0.4) – 5 cos(2x – 0.4) = 0 for 0 ≤ x ≤ π.
a. Express sin2 θ + 4 cos θ + 2 in the form a – (cos θ – b)2.b. Hence state the maximum and minimum values of sin2 θ + 4 cos θ + 2.
Prove that (1 + sin θ/cos θ)2 + (1 – sin θ/cos θ)2 = 2 + 4 tan2 θ.
Given that sin A = - 12/13 and cos B = 3/5, where A and B in the same quadrant, find the value ofa. cos Ab. Tan Ac. sin Bd. tan B.
a. The following functions are defined for 0 ≤ x ≤ 2π.For each function, write down the period and the equations of the asymptotes.i. f(x) = tan 4xii. f(x) = 2 tan 3xiii. f(x) = 5 tan 2x – 3b.
a. On the same grid, sketch the graphs of y = |0.5 + sin x| and y = cos x for 0° ≤ x ≤ 360°.b. State the number of roots of the equation |0.5 + sin x| = cos x for 0° ≤ x ≤ 360°.
Solve each of these equations for 0° ≤ x ≤ 360°.a. sin x tan(x - 30°) = 0.b. 5 tan2 x – 4 tan x = 0c. 3 cos2 x = cos xd. sin2 x + sin x cos x = 0e. 5 sin x cos x = cos xf. sin x tan x = sin x
a. Given that 15 cos2 θ + 2 sin2 θ = 7, show that tan2 θ = 8/5.b. Solve 15 cos2 θ + 2 sin2 θ = 7 for 0 ≤ θ ≤ π radians.
Part of the graph of y = A tan Bx + C is shown above.The graph passes through the point P(π/4, 4).Find the value of A, the value of B and the value of C. 3- 元 3元 2元 2 2.
a. On the same grid, sketch the graphs of y = |1 + 4 cos x| and y = 2 + cos x for 0° ≤ x ≤ 360°.b. State the number of roots of the equation |1 + 4 cos x| = 2 + cos x for 0° ≤ x ≤ 360°.
Solve each of these equations for 0° ≤ x ≤ 360°.a. 4 sin2 x = 1b. 25 tan2 x = 9
Solve each of these equations for 0° ≤ x ≤ 360°.a. tan2 x + 2 tan x – 3 = 0b. 2 sin2 x + sin x – 1 = 0c. 3 cos2 x – 2 cos x – 1 = 0d. 2 sin2 x – cos x – 1 = 0e. 3 cos2 x – 3 = sin
a. The diagram shows a sketch of the curve y = a sin(bx) + c for 0° ≤ x ≤ 180°. Find the values of a, b and c.b. Given that f(x) = 5 cos 3x + 1, for all x, statei. The period of f,ii. The
F(x) = a + b sin cxThe maximum value of f is 13, the minimum value of f is 5 and the period is 60°.Find the value of a, the value of b and the value of c.
The equation |3 cos x – 2| = k, has 2 roots for the interval 0° ≤ x ≤ 2π. Find the possible value of k.
F(x) sin x for 0 ≤ x ≤ π/2 g(x) = 2x – 1 for x ∈ RSolve gf(x) = 0.5.
a. Solve 4 sin x = cosec x for 0° ≤ x ≤ 360°.b. Solve tan2 3y – 2sec 3y – 2 = 0 for 0° ≤ y ≤ 180°.c. Solve tan(z – π/3) = √3 for 0 ≤ z ≤ 2π radians.
F(x) = A + 3 cos Bx for 0° ≤ x ≤ 360°.The maximum value of f is 5 and the period is 72°.a. Write down the value of A and the value of B.b. Write down the amplitude of f.c. Sketch the graph of
The diagram shows the graph of f(x) = |a + b cos cx|, where a, b and c are positive integers.Find the value of a, the value of b and the value of c. f(x) 5- 4- 3- 2- 1- 90 180 270 360 x
Show that √sec2θ–1 + √cosec2θ–1 = sec θ cosec θ.
F(x) = A + B sin Cx for 0° 2264 x ≤ 360°.The amplitude of f is 3, the period is 90° and the minimum value of f is -2.a. Write down the value of A, the value of B and the value of C.b. Sketch the
a. On the same grid, sketch the graphs of y = sin x and y = 1 + sin 2x for 0° ≤ x ≤ 360°.b. State the number of roots of the equation sin 2x – sin x + 1 = 0 for 0° ≤ x ≤ 360°
a. On the same grid, sketch the graphs of y = sin x and y = 1 + cos 2x for 0° ≤ x ≤ 360°.b. State the number of roots of the equation sin x = 1 + cos 2x for 0° ≤ x ≤ 360°.
a. On the same grid, sketch the graphs of y = 3 cos 2x and y = 2 + sin x for 0° ≤ x ≤ 360°.b. State the number of roots of the equation 3 cos 2x = 2 + sin x for 0° ≤ x ≤ 360°.
Find the gradient of the line AB for each of the following pairs of points.a. A(1, 2) B(3, - 2)b. A(4, 3) B(5, 0)c. A(- 4, 4) B(7, 4)d. A(1, - 9) B(4, 1)e. A(- 4, - 3) B(5,
Find the equation of the line witha. Gradient 3 and passing through the point (6, 5)b. Gradient – 4 and passing through the point (2, -1)c. Gradient – ½ and passing through the point (8, - 3).
Find the area of these triangles.a. A(-2, 3), B(0, -4), C(5, 6)b. P(-3, 1), !(5, - 3), R(2, 4)
Convert each of these non-linear equations into the form Y = mX + c, where a and b are constants. State clearly what the variables X and Y and the constants m and c represent.a. y = ax2 + bb. y = ax
The graphs show part of a straight line obtained by plotting y against some function of x. For each graph, express y in terms of x.a.b.c.d.e.f. (3, 6)
The table shows experimental values of the variables x and y.a. Copy and complete the following table.b. Draw the graph of xy against x.c. Express y in terms of x.d. Find the value of x and the value
The point P lies on the line joining A(-2, 3) and B(10, 19) such that AP: PB = 1:3.a. Show that the x-coordinate of P is 1 and find the y-coordinate of P.b. Find the equation of the line through P
Find the length of the line segment joininga. (2, 0) and (5, 0)b. (-7, 4) and (- 7, 8)c. (2, 1) and (8, 9)d. (-3, 1) and (2, 13)e. (5, - 2) and (2, -6)f. (4, 4) and (- 20, - 3)g. (6, - 5) and (1,
Write down the gradient of lines perpendicular to a line with gradienta. 3b. – ½c. 2/5d. 1/¼e. -2 ½
Find the equation of the line passing througha. (3, 2) and (5, 7)b. (-1, 6) and (5, - 3)c. (5, - 2) and (- 7, 4).
Find the area of these quadrilaterals.a. A(1, 8), B(-4, 5), C(-2, -3), D(4, -2)b. P(2, 7), Q(-5, 6), R(-3, - 4), S(7, 2)
Convert each of these non-linear equations into the form Y = mX + c, where a and b are constants. State clearly what the variables X and Y and the constants m and c represent.a. y = 10ax+bb. y =
For each of the following relationsi. Express y in terms of xii. Find the value of y when x = 2.a.b.c.d.e.f. (5, 6) (1, 2) gt
The table shows experimental values of the variables x and y.a. Copy and complete the following table.b. Draw the graph of 1/y against 1/x.c. Express y in terms of x.d. Find the value of x when y =
The table shows values of variables V and P.a. By plotting a suitable straight-line graph, show that V and P are related by the equation P = kVn, where k and n are constants.Use your graph to findb.
Calculate the lengths of the sides of the triangle PQR.Use your answers to determine whether or not the triangle is right-angled.a. P(3, 11), Q(5, 7) R(11, 10)b. P(- 7, 8), Q(-1, 4), R(5, 12)c. P(-
Two vertices of a rectangle ABCD are A(3, - 5) and B(6, - 3),a. Find the gradient of CD.b. Find the gradient of BC.
Find the equation of the linea. Parallel to the line y = 2x + 4, passing through the point (6, 2)b. Parallel to the line x + 2y = 5, passing through the point (2, - 5)c. Perpendicular to the line 2x
The point A(-3, 2) and B(1, 4) are vertices of an isosceles triangle ABC, where angle B = 90°.a. Find the length of the line AB.b. Find the equation of the line BC.c. Find the coordinates of each of
Triangle PQR where P(1, 4), Q(-3, -4) and R(7, k) is right-angled at Q.a. Find the value of k.b. Find the area of triangle PQR.
Variables x and y are related so that, when y/x2 is plotted on the vertical axis and x3 is plotted on the horizontal axis, a straight-line graph passing through (2, 12) and (6, 4) is obtained.Express
The table shows experimental values of the variables x and y.a. Draw the graph of xy against x2.b. Use your graph to express y in terms of x.c. Find the value of x and the value of y for which xy =
A(- 1, 0), B(1, 6) and C(7, 4).Show that triangle ABC is a right-angled isosceles triangle.
A(- 1, - 5), B(5, - 2) and C(1, 1).ABCD is a trapezium.AB is parallel to DC and angle BAD is 90°.Find the coordinates of D.
P is the point (2, 5) and Q is the point (6, 0).A line l is drawn through P perpendicular to PQ to meet the y-axis at the point R.a. Find the equation of the line l.b. Find the coordinates of the
A is the point (-4, 0) and B is the point (2, 3), M is the midpoint of the line AB.Point C is such thata. Find the coordinates of M and C.b. Show that CM is perpendicular to AB.c. Find the area of
Variables x and y are related so that, when y2 is plotted on the vertical axis and 2x is plotted on the horizontal axis, a straight-line graph which passes through the point (8, 49) with gradient 3
The mass, m grams, of a radioactive substance is given by the formula m = m0 e-kt, where t is the time in days after the mass was first recorded and m0 and k are constants.The table below shows
Variables x and y are such that y = abx, where A and b are constants. The diagram shows the graph of ln y against x, passing through the points (2, 4) and (8, 10).Find the value of A and of b. Iny
The distance between two points P(10, 2b) and Q(b, - 5) is 5√10.Find the two possible values of b.
The midpoint of the line segment joining P(-2, 3) and Q(4, - 1) is M.The point C has coordinates (-1, -2).Show that CM is perpendicular to PQ.
Find the equation of the perpendicular bisector of the line segment joining the points.a. (1, 3) and (-3, 1)b. (-1, - 5) and (5, 3)c. (0, -9) and (5, - 2).
Angle ABC is 90° and M is the midpoint of the line AB.The point C lies on the y-axis.a. Find the coordinates of B and C.b. Find the area of triangle ABC. B М(6, 4) A(8, 3)
Variables x and y are related so that, when y/x is plotted on the vertical axis and x is plotted on the horizontal axis, a straight-line graph passing though the points (2, 4) and (5, - 2) is
The table shows experimental values of the variables x and y.The variables are known to be related by the equation y = kxn where k and n are constants.a. Draw the graph of lg y against lg x.b. Use
The diagram shows a trapezium ABCD with vertices A(11, 4), B(7, 7), C(-3, 2) and D.The side AD is parallel to BC and the side CD is perpendicular to BC.Find the area of the trapezium ABCD. В(7, 7)
The distance between two points P(6, -2) and Q(2a, a) is 5.Find the two possible values of a.
A(-2, 2), B(3, - 1) and C(9, - 4).a. Find the gradient of AB and the gradient of BC.b. Use your answer to part a to decide whether or not the points A, B and C are collinear.
The perpendicular bisector of the line joining A(-1, 4) and B(2, 2) intersects the x-axis at P and the y-axis at Q.a. Find the coordinates of P and of Q.b. Find the length of PQ.c. Find the area of
A is the point (-4, 5) and B is the point (5, 8).The perpendicular to the line AB at the point A crosses the y-axis at the point C.a. Find the coordinates of C.b. Find the area of triangle ABC.
Variables x and y are related so that, when ey is plotted on the vertical axis and x2 is plotted on the horizontal axis, a straight-line graph passing though the points (3, 4) and (8, 9) is
The table shows experimental values of the variables x and y.The variables are known to be related by the equation y = a × bx where a and b are constants.a. Draw the graph of lg y against
The table shows experimental values of two variables x and y.It is known that x and y are related by the equation y = a/√x + bx, where a and b are constants.a. Complete the following table.b. On a
Find the coordinates of the midpoint of the line segment joininga. (5, 2) and (7, 6)b. (4, 3) and (9, 11)c. (8, 6) and (-2, 10)d. (-1, 7) and (2, - 4)e. (-7, - 8) and (-2, 3)f. (2a, - 3b) and (4a,
The coordinates of 3 points are A(- 4, 4), B(k, - 2) and C(2k + 1, - 6).Find the value of k if A, and B and C are collinear.
The line l1 has equation 3x + 2y = 12.The line l2 has equation y = 2x – 1.The line l1 and l2 intersect at the point A.a. Find the coordinates of A.b. Find the equation of the line through A which
AB is parallel to DC and BC is perpendicular to AB.a. Find the coordinates of C.b. Find the area of trapezium ABCD. C D(3.5, 8) В(9, 3) A(1, 1)
Variables x and y are related so that, when lg y is plotted on the vertical axis and x is plotted on the horizontal axis, a straight-line graph passing though the points (6, 2) and (10, 8) is
The table shows experimental values of the variables x and y.The variables are known to be related by the equation y = a × enx where a and n are constants.a. Draw the graph of ln y against x.b. Use
The point A and B have coordinates (-2, 15) and (3, 5) respectively.The perpendicular to the line AB at the point A(-2, 15) crosses the y-axis at the point C.Find the area of triangle ABC.
The coordinates of the midpoint of the line segment joining P(-8, 2) and Q(a, b), are (5, - 3).Find the value of a and the value of b.
The vertices of triangle ABC are A(-k, - 2), B(k, - 4) and C(4, k – 2). Find the possible values of k if angle ABC is 90°.
The coordinates of three points are A(1, 5), B(9, 7) and C(k, - 6).M is the midpoint of AB and MC is perpendicular to AB.a. Find the coordinates of M.b. Find the value of k.
ABCD is a square.A is the point (-2, 0) and C is the point (6, 4).AC and BD are diagonals of the square, which intersect at M.a. Find the coordinates of M, B and D.b. Find the area of ABCD.
Variables x and y are related so that, when lg y is plotted on the vertical axis and lg x is plotted on the horizontal axis, a straight-line graph passing though the points (4, 8) and (8, 14) is
The table shows experimental values of the variables x and y.The variables are known to be related by the equation y = a × eax+b where a and b are constants.a. Draw the graph of ln y against x.b.
Variables x and y are such that, when ln y is plotted against ln x, a straight-line graph passing through the points (2, 5.8) and (6, 3.8) is obtained.a. Find the value of ln y when ln x = 0.b. Given
Three of the vertices of a parallelogram ABCD are A(-7, 6), B(-1, 8) and C97, 3).a. Find the midpoint of AC.b. Find the coordinates of D.
A is the point (-2, 0) and B is the point (2, 6).Find the point C on the x-axis such that angle ABC is 90°.
The coordinates of triangle ABC are A(2, - 1), B(3,7) and C(14, 5).P is the foot of the perpendicular from B to AC.a. Find the equation of BP.b. Find the coordinates of P.c. Find the length of AC and
The coordinates of 3 of the vertices of a parallelogram ABCD are A(-4, 3), B(5, - 5) and C(15, - 1).a. Find the coordinates of the points of intersections of the diagonals.b. Find the coordinates of
Variables x and y are related so that, when ln y is plotted on the vertical axis and ln x is plotted on the horizontal axis, a straight-line graph passing though the points (1, 2) and (4, 11) is
The table shows experimental values of the variables x and y.The variables are known to be related by the equation y = 10a × bx, where a and b are constants.a. Draw the graph of lg y against
The points A and B have coordinates (2, - 1) and (6, 5) respectively.i. Find the equation of the perpendicular bisector of AB, giving your answer in the form ax + by = c, where a, b and c are
The point P(2k, k) is equidistant from A(-2, 4) and B(7, - 5). Find the value of k.
The coordinates of triangle PQR are P(-3, - 2), Q(5, 10) and R(11, - 2).a. Find the equation of the perpendicular bisectors ofi. PQii. QR.b. Find the coordinates of the point which is equidistant
Showing 900 - 1000
of 1792
First
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Last