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

Result Not Found

Books FREE
Tutors
Study Help
Ask a Question
AI Study Help New

Search
Sign In
Register

study help
mathematics
precalculus

Questions and Answers of Precalculus

Find the gradient vector field of f .f (x, y, z) = x2yey/z
Find the gradient vector field of f .f (x, y, z) = √x2 1 y2 + z2
Find the gradient vector field of f .f (s, t) = √2s + 3t
Find the gradient vector field of f .f (x, y) = y sin(xy)
Let F(x) = (r2 - 2r)x, where x = (x, y) and r = |x|. Use a CAS to plot this vector field in various domains until you can see what is happening. Describe the appearance of the plot and explain it by
If you have a CAS that plots vector fields (the command is fieldplot in Maple and PlotVectorField or VectorPlot in Mathematica), use it to plotF(x, y) = (y2 - 2xy) i + (3xy - 6x2 )jExplain the
Match the vector fields F on R3 with the plots labeled I–IV. Give reasons for your choices.F(x, y, z) = x i + y j + z k П -1- -1- -1 0 1 х -1 0 1 10 -1 IV Ш -1 -1 -1 0 1 -1 0 1 х х
Match the vector fields F on R3 with the plots labeled I–IV. Give reasons for your choices.F(x, y, z) = x i + y j + 3 k П -1- -1- -1 0 1 х -1 0 1 10 -1 IV Ш -1 -1 -1 0 1 -1 0 1 х х
Match the vector fields F on R3 with the plots labeled I–IV. Give reasons for your choices.F(x, y, z) = i 1 - j + z k П -1- -1- -1 0 1 х -1 0 1 10 -1 IV Ш -1 -1 -1 0 1 -1 0 1 х х
Match the vector fields F on R3 with the plots labeled I–IV. Give reasons for your choices.F(x, y, z) = i 1 - j + 3 k П -1- -1- -1 0 1 х -1 0 1 10 -1 IV Ш -1 -1 -1 0 1 -1 0 1 х х
Match the vector fields F with the plots labeled I–IV. Give reasons for your choices.F(x, y) = (cos(x + y), x) П 3 3 -3 -3 3 -3 -3 Ш IV 3 -3 3 -3 -3 -3 3. 3. 3.
Match the vector fields F with the plots labeled I–IV. Give reasons for your choices.F(x, y) = (y, y + 2) П 3 3 -3 -3 3 -3 -3 Ш IV 3 -3 3 -3 -3 -3 3. 3. 3.
Match the vector fields F with the plots labeled I–IV. Give reasons for your choices.F(x, y) = (y, x - y)
Match the vector fields F with the plots labeled I–IV. Give reasons for your choices.F(x, y) = (x, -y) П 3 3 -3 -3 3 -3 -3 Ш IV 3 -3 3 -3 -3 -3 3. 3. 3.
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y, z) = i + k П 3 3 -3 -3 3 -3 -3 Ш IV 3 -3 3 -3 -3 -3 3. 3. 3.
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y, z) = -y i
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y, z) = z i
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y, z) = i
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y) = y i - x j/√x2 + y2
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y) = y i + x j/√x2 + y2
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y) = y i + (x + y) j
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y) = 2/1 - i + (y - x) j
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y) = 1/2x i + y j
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9.F(x, y) = 0.3 i - 0.4j
The planex/a + y/b + z/c = 1 ........... a > 0, b > 0, c > 0cuts the solid ellipsoidx2/a2 + y2/b2 + z2/c2 < 1 into two pieces. Find the volume of the smaller piece.
Evaluate lim n- ΣΣ i=1 j=l Vn2 + ni + j Σ
If f is continuous, show that ESI0 dt dz dy - S (x – t°f() dt Jo Jo Jo
(a) A lamina has constant density p and takes the shape of a disk with center the origin and radius R. Use Newton’s Law of Gravitation (see Section 13.4) to show that the magnitude of the force of
(a) Show that when Laplace’s equationis written in cylindrical coordinates, it becomes(b) Show that when Laplace’s equation is written in spherical coordinates, it becomes a'и д'и д'и ду?
Show thatby first expressing the integral as an iterated integral. arctan x - dx IT In T 2 arctan TX
(a) Show that(Nobody has ever been able to find the exact value of the sum of this series.)(b) Show thatUse this equation to evaluate the triple integral correct to two decimal places. n-1 Σ dx dy
Leonhard Euler was able to find the exact sum of the series in Problem 5. In 1736 he proved thatIn this problem we ask you to prove this fact by evaluating the double integral in Problem 5. Start by
The double integral dx dy is an improper integral and could be defined as the limit of double integrals over the rectangle [0, t] x [0, t] as t → 1-. But if we expand the integrand as a
If a, b, and c are constant vectors, r is the position vector xi + yj + zk, and E is given by the inequalities 0 < a·r
Find the average value of the function on the interval [0, 1]. f(x) = J' cos(t²)dt 0 < a ·r< a, 0 < b.r< B, 0 < c•r< y, show that | (а г)(Ь - г)(с г) dV — (aßy)? 8|a · (b x c)|
Evaluate the integralwhere max{x2, y2} means the larger of the numbers x2 and y2. ,max{x², y²} dy dx
If [x] denotes the greatest integer in x, evaluate the integralwhere R = h(x, y) | 1 < x < 3, 2 < y < 5].
Suppose that f is continuous on a disk that contains the point (a, b). Let Dr be the closed disk with center (a, b) and radius r. Use the Mean Value Theorem for double integrals (see Exercise 58) to
The Mean Value Theorem for double integrals says that if f is a continuous function on a plane region D that is of type I or II, then there exists a point (x0, y0) in D such thatUse the Extreme Value
Use the change of variables formula and an appropriate transformation to evaluate where R is the square with vertices (0, 0), (1, 1), (2, 0), and (1, -1). Г ху dА, XV JJR
Use the transformation x = u2, y = v2, z = w2 to find the volume of the region bounded by the surface √x + √y + √z = 1 and the coordinate planes.
Use the transformation u = x - y, v = x + y to evaluatewhere R is the square with vertices (0, 2), (1, 1), (2, 2), and (1, 3). х — у dA х+у
Give five other iterated integrals that are equal to 22 a, y, z) dz dx dy 10 J0
Rewrite the integralas an iterated integral in the order dx dy dz. Ci (1-y f(x, y, z) dz dy dx -1 Jr? Jo
A lamp has three bulbs, each of a type with average lifetime 800 hours. If we model the probability of failure of a bulb by an exponential density function with mean 800, find the probability that
The joint density function for random variables X and Y is(a) Find the value of the constant C.(b) Find P(X < 2, Y > 1).(c) Find P(X + Y < 1). C(x + y) if 0 < x< 3, 0 < y < 2 otherwise f(x,
Find the center of mass of the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (0, 2, 0), (0, 0, 3) and density function p(x, y, z) = x2 + y2 + z2.
If D is the region bounded by the curves y = 1 - x2 and y = ex, find the approximate value of the integral(Use a graphing device to estimate the points of intersection of the curves.) ГD У dA.
Use spherical coordinates to evaluate rv4- у? (V4-х2-у? ду У'Vx? + у? + 2? dz dx dy r2 4-y2
Use polar coordinates to evaluate *3 /9-х2 (x³ + xy²) dy dx /9-х2
Graph the surface z = x sin y, -3 < x < 3, -π < y < π, and find its surface area correct to four decimal places.
Find the area of the part of the surface z = x2 + y that lies above the triangle with vertices (0, 0), (1, 0), and (0, 2).
Find the area of the part of the cone z2 = a2(x2 + y2 d between the planes z = 1 and z = 2.
(a) Find the centroid of a solid right circular cone with height h and base radius a. (Place the cone so that its base is in the xy-plane with center the origin and its axis along the positive
A lamina occupies the part of the disk x2 + y2 < a2 that lies in the first quadrant.(a) Find the centroid of the lamina.(b) Find the center of mass of the lamina if the density function is p(x, y)
Consider a lamina that occupies the region D bounded by the parabola x = 1 - y2 and the coordinate axes in the first quadrant with density function p(x, y) = y.(a) Find the mass of the lamina.(b)
Find the volume of the given solid.Above the paraboloid z = x2 + y2 and below the half-cone z = √x2 + y2
Find the volume of the given solid.One of the wedges cut from the cylinder x2 + 9y2 = a2 by the planes z = 0 and z = mx
Find the volume of the given solid.Bounded by the cylinder x2 + y2 = 4 and the planes z = 0 and y + z = 3
Find the volume of the given solid.The solid tetrahedron with vertices (0, 0, 0), (0, 0, 1), (0, 2, 0), and (2, 2, 0)
Find the volume of the given solid.Under the surface z − x2y and above the triangle in the xy-plane with vertices (1, 0), (2, 1), and (4, 0)
Find the volume of the given solid.Under the paraboloid z = x2 + 4y2 and above the rectangle R = [0, 2] x [1, 4]
Calculate the value of the multiple integral.where H is the solid hemisphere that lies above the xy-plane and has center the origin and radius 1 SSS# z°/x? + y² + z² dV, .3 2
Calculate the value of the multiple integral.where E lies above the plane z = 0, below the plane z = y, and inside the cylinder x2 + y2 = 4 M. yz dV, E YZ
Calculate the value of the multiple integral.where E is bounded by the planes y = 0, z = 0, x + y = 2 and the cylinder y2 + z2 = 1 in the first octant SIe z dV,
Calculate the value of the multiple integral.where D is the region in the first quadrant that lies between the circles x2 + y2 = 1 and x2 + y2 = 2
Calculate the value of the multiple integral.E = {(x, y, z) |0 < x < 3, 0 < y < x, 0 < z < x + y} ГЕ ху dV,
Calculate the value of the multiple integral.where E is bounded by the paraboloid x = 1 - y2 - z2 and the plane x = 0 SSE y²z²dV, 2_2
Calculate the value of the multiple integral.where T is the solid tetrahedron with vertices(0, 0, 0), (1/3 , 0, 0), (0, 1, 0), and (0, 0, 1) Г ху dV, т
Calculate the value of the multiple integral.where D is the region in the first quadrant bounded by the lines y = 0 and y = √3 x and the circle x2 + y2 = 9 S, (x² + y²)³/2 dA,
Calculate the value of the multiple integral.where D is the region in the first quadrant that lies above the hyperbola xy = 1 and the line y = x and below the line y = 2 Slp y dA,
Calculate the value of the multiple integral.where D is the region in the first quadrant bounded by the parabolas x = y2 and x = 8 - y2 dA D
Calculate the value of the multiple integral.where D is the triangular region with vertices (0, 0), (1, 1), and (0, 1) 1 dA, 1 + x?
Calculate the value of the multiple integral.where D is bounded by y = √x , y = 0, x = 1 dA, 1 + x? D
Calculate the value of the multiple integral.where D = {(x, y)| 0 < y < 1, y2 < x < y + 2} Jp ху dA,
Calculate the value of the multiple integral.
Calculate the iterated integral by first reversing the order of integration. dx dy ye²? x3
Calculate the iterated integral by first reversing the order of integration. cos(y²) dy dx S[ x
Describe the solid whose volume is given by the integral T/2 (/2 2 ( Se* sino dp dộp dô Jo
Describe the region whose area is given by the integral /2 sin 20 r dr de Jo
Sketch the solid consisting of all points with spherical coordinates and 0 < p < 2 cos ϕ. (p, 0, $) such that 0 < 0 < T/2,0 < ¢ < T/6,
Write the equation in cylindrical coordinates and in spherical coordinates.(a) x2 + y2 + z2 = 4 (b) x2 + y2 = 4
Identify the surfaces whose equations are given.(a) θ π/4 (b) ϕ = π/4
The spherical coordinates of a point are (8, π/4, π/6). Find the rectangular and cylindrical coordinates of the point.
The rectangular coordinates of a point are (2, 2, -1). Find the cylindrical and spherical coordinates of the point.
The cylindrical coordinates of a point are (2√3, π/3, 2). Find the rectangular and spherical coordinates of the point.
Write as an iterated integral, where R is theregion shown and f is an arbitrary continuous function on R. F(x, y) dA dA J JR yA 4. R -4
Write as an iterated integral, where R is there gion shown and f is an arbitrary continuous function on R. lR F(x, y) dA X.
Calculate the iterated integral. II[ 61yz dz dx dy х
Calculate the iterated integral. CIy sin x dz dy dx 1-y² Jo Jo
Calculate the iterated integral. Cet 3xy² dy dx o Jx
Calculate the iterated integral. C cos(x?) dy dx o Jo X. dx
Calculate the iterated integral. Jе\У dx dy o Jo
Calculate the iterated integral. (y + 2xe') dx dy
Use the Midpoint Rule to estimate the integral in Exercise 1.
A contour map is shown for a function f on the square R = [0, 3] x [0, 3]. Use a Riemann sum with nine terms to estimate the value of Take the sample points tobe the upper right corners of
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.The integral represents the moment
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If D is the disk given by x2 + y2 < 4,
Let f be continuous on [0, 1] and let R be the triangular region with vertices (0, 0), (1, 0), and [0, 1]. Show that | f(x + y) dA = [' uf(u) du
Evaluate the integral by making an appropriate change of variables.where R is given by the inequality |x| + |y| < 1 lp ex+y dA, JJR

Showing 17700 - 17800 of 29459

First
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
Last

Services

Sitemap
Fun
Definitions
Become Tutor
Study Help Categories
Recent Questions
Expert Questions

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Campus Ambassador

Secure Payment

Download Our App

© 2024 SolutionInn. All Rights Reserved