The area of the surface generated by rotating the curve y = 1 -e = ¹, where -3 ≤ x ≤ 3, about the x-axis, is given by

Q: The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 3³. Express r as a…

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Q: Lyds, yds, C: x = t², y=t, - 2 ≤ t ≤ 8 Evaluate Calculator Check Answer D

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Q: Find the x- and y-intercepts for the function. Enter your answers as points, (a, b). The x-intercept…

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Q: x²(x- 十

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Q: Use undetermined coefficients to find the particular solution to y+3y-4y=2e¹4t Y(t) =

A: NOTE: Refresh your page if you can't see any equations. . write the auxiliary equation for the…

Q: Compute the flux of the vector field (x5, - xy³), out of the rectangle with vertices (0,0), (6,0),…

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Q: 7 Determine whether the series Σ converges or diverges. If it converges, find its sum. m=2 Select…

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Q: Find the surface area of the part of the plane z = 7+ 3x + 4y that lies inside the cylinder x² + y²…

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Q: Find the derivative of the vector function r(t) = ta x (b + tc), where a = (-2,-4, 1), b = (−3, 1,…

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Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (et, est, 5), g(t) = = 4t - 7 r(g(t)) = (

A: Given -rt=<et, e8t, 5>gt=4t-7

Q: Use Green's Theorem to evaluate Si Fnds, where F =(√x + 5y, 2x + 5y) C is the boundary of the region…

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Q: Use Stokes' Theorem to evaluate -49 6. F. dr where C is oriented counterclockwise as viewed from…

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Q: 7. Let y(x) = Enzo anxn be a solution of y" + xy' + y = 0. If the recurrence relation is given by (n…

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Q: If y'> 0 on an interval I then the function y = f(x) is increasing on I Ignore "Give your reasons"…

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Q: 10. Compute the following indefinite integrals. (a) [ -9x² + 16x dx (b) f sin(x) + cos(x) dx 4 3…

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Q: Consider the function f(x) = 8x + 6x¯¹. For this function there are four important intervals: (-∞,…

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Q: Graph showing vertex and x-y intercepts y=x^2-4x+3

A: We are required to: Graph the function y=x2-4x+3 showing the vertex, x intercept and yintercept.

Q: Find the volume v of the V = ribed solla S. The base of S is the triangular region with vertices (0,…

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Q: You are given relationships: g = x² - y² ; x = t cos r; y = t sin r; and values t = 3 and r = π/4.…

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Q: Question If p(-9) = -5, p(-1) = 3, h(-9) = include "h(-1) =" in your answer.) Provide your answer…

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Q: 5. Does the sequence {{²} (−1)” n diverge? Explain converge or

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Q: The matrix A is defined as follows. 4-(-1²) A = Carry out the indicated matrix operation if it is…

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Q: Evaluate the integral. 23+ 1 v³ +5v8 VA dv

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Q: Find the minimum and maximum values of the objective function, and the points at which these values…

A: NOTE: Refresh your page if you can't see any equations. . the given system is subject to

Q: Find the gradient vector field of f(x, y) = ln(x + 3y)

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Q: Find the maximum rate of change of the function f(x, y) = = X at the point (1,4)

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Q: Find the linear approximation to the equation f(x, y) = 2, approximate f(6.11, 2.24) f(6.11, 2.24)…

A: f(x,y)=2xy3  at point (6,2,4)  and we have to find the linear approximation

Q: Evaluate xy dx + ²dy, where C' is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4) f zy³dz…

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Q: Find the surface area of the part of the plane z = 2 + 3x + 6y that lies inside the cylinder x² + y²…

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Q: ) Consider two planes, 3y + 2z = 1 and x - 5y +z = -6. a. Find the line of intersection of the…

A: NOTE: Refresh your page if you can't see any equations. . given planes are the system Ax=b is…

Q: Find numbers a and b, or k, so that f is continuous at every point. 3) x2, x 2 A) a = -2, b = -8 B)…

A: We need to find the values of a and b such that the given function is continuous: f(x)=x2,…

Q: Find the flux of the vector field F = across the part of the plane z = 4+x+2y above the rectangle…

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Q: Which of the following is equivalent to A. J [sece tane de B. [seco de 1 SJ dx after a trigonometric…

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Q: Question 6 19 T Which angles are coterminal with an angle with a measure of 36 radians? Select all…

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Q: Replace the Cartesian equation x = 19 with an equivalent polar equation. The equivalent polar…

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Q: Question What is the derivative of f(x) = 2 cos (x) + 3 sin (x) at the point x = Z? Do not include…

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Q: Find the mass of a lamina bounded by y = 2√x, x = 4, and y=0 with the density function o(x, y) = x…

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Q: Find all solutions of the system. (Use the parameters x, y, z, and w as necessary. If the system is…

A: 4x+y+z+w=3x+3y-3z-3w=0-6x-7y+5z+5w=-3

Q: 7 If S 1 f(x) dx = 12 and 7 [ f(x). f(x) dx 3.1, then = 5 5 f're 1 f(x) dx =

A: given,  ∫17f(x)dx=12 and  ∫57f(x)dx=3.1

Q: Use L'Hospital's rule to compare the growth rate of p(x) = 8x5 and g(x) = 9x³ + x² + 7x +1. Select…

A: px=8x5 ,qx=9x2+x2+7x+1

Q: 9. Consider the following u-substitution integrals. (a) Compute the integral [a³e x³ e(x4) dx. (b)…

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Q: Finding the Standard Equation of a Parabola In Exercises 49-60, find the standard form of the…

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Q: Sin ² (x20) dx Choose the correct value of In ² (x20) dx below. A. x In ² (x20) -40x In (x20) +20x+C…

A: ∫ln2x20dx

Q: 3. A continuous function g is defined on the closed interval −8 ≤ x ≤ 6. The graph of g, shown…

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Q: Find dw/dt by using Chain Rule w=√x² ² + y² + z² ; x = cos(st), y = cos(st), z = s²t

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. x + 8x+16 D. 2 X 2 X…

A: I=∫x3x2+8x+16dx

Q: xy Find the linear approximation to the equation f(x, y) = 2₁ 3 approximate f(6.11, 2.24) f(6.11,…

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Q: Calculate f f(x, y, z) dS for the given surface and function. (r, 0) (r cos(0), r sin(0), 0), 0≤r≤4,…

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Q: Compute the flux of the vector field and (0,1) (x¹, - xy5), out of the rectangle with vertices…

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Q: Use the graph of g in the figure to find the following values, if they exist. If a limit does not…

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