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Mathematics questions and answers for February 22, 2020

Mathematics questions and answers for February 22, 2020

Consider a triangle ABC like the one below Suppose that a20 b24 and 430 The figure is not drawn to scale Solve the

24 What is one of the three pairs of polar coordinates for the point 5 60 with 360

Recall that the area of a triangle is A B H where B is the base and H is the height The base of a triangle is 4 times

1 Sketch the curve by elimination the parameter and indicate the direction of increasing t a x3t 4 y 6t 2 b x2cost y

The price pt of a product is assumed to satisfy the differential equation dp dt 1203p Complete parts A through C below

Write the Mayan numeral as a HinduArabic numeral 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 The equivalent

55 a Determine the quadrant the point P lies in b cost sin t c State an identity needed to find the exact value of

6 Evaluate the integral Fdr where C is any path from 00 to 21 by finding potential function Fx y 12x3y5y 6xy3y5x j

A rectangular metal tank with an open top is to hold 625 cubic feet of liquid What are the dimensions of the tank that

Mathematics is not about numbers equations computations or algorithms it is about understanding 5 5 pts 66 275 Sketch

10 A relative frequency in a distribution is computel by frequency

Law of Cosines SSS May 07 62020 PM Watch help video In AVWX v47 cm w 11 cm and x38 cm Find the measure of ZW to the

The density function of X is given by If the expectation of X is EX 05 find a and b a b fx abx2 if 0x1 otherwise

Evaluate 1x31 6 dx using the following graph O x36 dx215 ox36x425 ox36x175 405

Complete the square and find the center and radius x2y2x6y90

Determine whether each of the following line integrals is indepen dent of path If it is find a function h such that dh

Consider the mathematical system with the single element 1 under the operation of multiplication Complete parts a to f

A plane travels N30W at 440 mph and encounters a wind blowing due west at 35 mph Part 03 a Express the velocity of the

Listen Determine the volume of a pyramid with height 4 and base an equilateral triangle with side a 4 163 163 3 10 163

and the Convert the polar equation r 8 tan 0 to rectangular coordinates 5 pts

17 13cos 15sin 37 94 A 12cos 60 isin 148 C 075cos 375isin 3225 E 81cos 50625isin 1874161 B 81cos 60isn 148 D 81sin

1 Homework C10S3 Question 2 of 2 1 point For the given model of the form a Determine the value of p b Identify the

Find the parametric equation for the cyloid given by a wheel radius 10 meters if it is moving foward at 5 meters per

Determine the cofactor of a13 in the matrix 818 A 0 2 7 1 7

Find the xcoordinate of the absolute maximum for the function fx 25 lnx I x0

Given the following matrices if possible determine 3B3A If not state Not Possible Answer 99 A7 2 38 B 7 4 0 10 1

12 Change 2 i 2 to polar form A 2cos 45 i sin 45 I B 2 cos 45i sin 45 C 2 cos 45 i sin 45 D 2cos 45i sin 45

Does the intermediate Value Theorem guarantee that the following function has a real zero between 1 and 2 gx 6r246x3

La ecuacin de la parbola con foco 3 2 y vrtice 3 0 es Oa x3 8y2 Ob x3 8y Oc x3 Od x38y2

Divide in the indicated base 351205 The quotient is 5 R 5

Predict the general term or nth term an for the sequence 3 7 11 15 19 Next q an Simplify your answer

Three pens of the same size are to be built along an existing fence If 320 feet of fencing is available what length

25 The horizontal and vertical components of a vector are 8 inches and 2 inches respectively What is the magnitude of

Find the angle between the given vectors to the nearest tenth of a degree 2 4 1 2 3 4 5 6 7 BX 74 1107 1084 1125 716

Question 12 Use Graphical Calculator to find all zeros for gxx6x1 Ox016 x236 Ox016 x236 Ox016 x236 O x016 x236

TRIGONOMETRIC Write the complex number in polar form Express the argument 0 in degrees with 0 0 360 7 3i

30 On a different level the new function ht3t 12t 36 is used to model the height of the bird If the bird misses the

For each transformed function gx find the following a gx23x 4 1 2 b gx x7 x5 i Parent function fx 1 ii Mapping

Find the distance between the pair of points 322 and 1316 The distance is 11662 Round to the nearest thousandth as

The rectangles in the graph below illustrate a right endpoint Riemann sum for fx interval 37 7 6 2x on the 5 4 3 2 2

6 5 pts Openstax 64 207 The base of a lamp is constructed by revolving a quarter circle y 2xx2 around the yaxis from x

If you already know lal and v then the formula a lv gives a convenient way to find the curvature Use it to find the

Find a geometric power series for the function centered at 0 by the following methods fx 2 5x a by the technique shown

First class postage with a private postal service costs 036 for all weights through 1 ounce plus 022 for each ounce or

Given the matrices A and B shown below find B A Rows 2 3 18 10 3 15 15 10 11 A B 18 9 1 6 6 0 3 11 Columns 2

A construction crew is lengthening a road The road started with a length of 59 miles and the crew is adding 2 miles to

Question 9 of 17 Step 1 of 1 Arancher has 600 feet of fending to put around a rectangular field and then subdivide the

Find the equation of the line in slopeintercept form Describe or show your work No work No Credit 800 400 a 5000 10000

4 Solve on a calculator but show work sec 5

Solve the triangle a10 b1 C150 C Round to two decimal places as needed

Use the vectors in the figure at the right to graph the following vector 3vu 3w Select the figure with a vector that

Cep 2 of 2 Find the length of the individual line segments of this function Then find the positive vertical separation

5 Parallelogram PQRS with vertices P3 4 Q0 3 R1 8 and S49 a translation along the vector 70 b 90 counterclockwise

Find the complementary angle of 30 is 59 The complementary angle of 30 is 59 1 2 0 Simplify your answer Type an integer

find a Cartesian equation for r6c050 Graph it

Show that fn 13 23 n is On4 For the t

9 Find the asymptotes of the hyperbola 5x24y 20 a y x c yx 2152 X 5 b y x d y x 5

A volleyball was hit into the air at a speed of 21 miles per hour at an angle of 40 from the horizontal Express this

2 An engineering student was given an assignment to construct a triangular model of the three steel girde Two of the

Total score of 12 points Score for Question 1 of 2 points 1 The hypotenuse of a right triangle measures 215 centimeters

8 Why is the derivative equal to arcsin x 1 COS 2x 1 cosx 2 1 1 1 1 1 1 3 4 2x 1x 2x 1 x 2x 1x

Integrate the given function over the given surface 2 2 Gxyz z over the hemisphere x yz 16 z 20 The value of the

36 One spring day Elroy noted the time of day and the temperature in degrees Fahrenheit His findings are stated below

Find the minimal distance from the point P 4 1 0 to the surfac z12x2y

Find the sum of the first 47 terms of the arithmetic sequence 0 7 14 21 847

fx and gx are functions that are continuous on the interval 3x2 and satisfy fx dx5 gx dx2 fx dx 0 gx dx4 3 3 3 3 Use

Without graphing the function y 7 cos 9x determine its amplitude and period Leave answers in exact form type pi for T

How many radians is 288 Give the exact answer in simplest fo radians

Listen The diagram below shows a squarebased right pyramid State a sl to each expression 27 a AB BD b ABAD A E

Apr 27 42446 PM Unique ID 1347 Find all angles 0 x 360 that satisfy the equation below to the nearest 10th of a degree

3 Josh is swimming in a lake at a speed of 4 feet per second in the direction of N 24 W Find the magnitude of the a

point A triangle has vertices of 035 315 0 15 If it is dilated with center at the origin and a scale factor of 2 what

9 Critical Thinking The palm tree on the left is 10 years old The palm tree on the right is 8 years old The trees grow

Consider the following equation of an ellipse x4 y1 1 36 16 Step 3 of 3 Find the coordinates of the two foci of this

4 Find the power series representation for the function and determine its radius of convergence x fx 13x

You roll a 6sided die What is P3 or divisor of 28 34 54 213

Look at this diagram TE 1 G F H K M It L

Translate the word phrase to an algebraic expression the product of 12 and x The translation is 12x

Consider the equation and the given point fx x4x8 1 27 a Find an equation of the tangent line to the graph of f at the

Find the unit vector in the direction of the given vector Write your answer in the indicated form Let u13 Find the unit

Bonus A bridge is built in the shape of a semielliptical arch The bridge has a span of 60 feet and a maximum height of

Solve by using the square root property of equality Express all radicals in simplest form 125 t Simplify your answers

he exact value of the following expression D OS COS 45 4

Evaluate the determinant of the matrix A 26 1324

arameterize the flow line of the vector field F me point 223 123 that passes through

Find the following for the vectors v 2i 3j 6k and u 7i 24j a v u v lul b the cosine of the angle between v and u c

Which angles are consecutive interior angles N M P R Q S ZRQN and ZPQS ZRQN and ZMNQ

ons Let fx 2x2 3x 4 and gx 2x 1 Determine the rule for the composite functions fog and go f fogx go fx

Given F yi xj 0k and parametric surface u v ui v u vk F for 0

City X is 55 miles due south of City Y and City Z is 40 miles due west of City X What is the bearing of City Z from

Given the matrices A and B shown below find A B 3 0 12 11 4 1 A 0 6 12 B 11 10 1 6 0 9 4 12 7 Rows 2 Columns 2

and B8 6 be points in the plane a Find the slope of the line that contains A and B b Find an equation of the line that

Determine the equation for the sphere whose center and radius are given Center Radius 534 18 Choose the correct

Find tan if csc u 6882 and u is in QuadrantIII 2 tan 2 Your answer should be accurate to 4 decimal places

s s4s5 Show Transcribed Text Find the Inverse Laplace transform of the above function

Question 24 83109GC Part 3 of 3 he study of heat transfer the equation 4x tan x0 occurs Graph Y 4x and Y2 tan x for

No calculators Using the Shell method only find the exact volume created by rotating the region bounded by y12xx2 and

3 Which image is a rotation about the point of the figure shown below 1 point O 4 When the flower below is rotated

14 1 point D Choose EVERY true proportion AB AC BD CE AB BC AD DE AB BC BD AC DE BC AE DE

6 Find an equation of the line that passes through the point 124 and has the slope m that undefined

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