Use cylindrical or spherical coordinates to evaluate the integral. 2 cVA-y? cv8-x?_y² z?dzdxdy. A 32(2/2 - 1)n /15 31(2/7 - 1)n 13 (c) 32(v2 - 1) D 32(2v5 - 1)T

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: We have to find the volume by shell method.

Q: Find the approximate area under the curve of f (x) =cos (5) from x = 0 to x = TT, using 4…

A: Here, the interval [0,π] is divided into 4 intervals of the length of each interval is ∆x=π-04=π4.…

Q: Question 2 Use spherical coordinates to find the volume of the solid. The solid enclosed by the…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) : = 6ti –…

A: Solution is done in step 2

Q: Find div F and curl F if F(x, y, z) = 10e"Y i – cos yj+ 8 sin? z k. div F= curl F=

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Q: Evaluate the limit using L'Hospital's rule: Lim0+1 In(x+1) 2xe"

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Q: 7. -4 3. ) dx - 3 10.

A: The given integral,         ∫e5xe2x7+3e3xdx

Q: What is the period and domain of the basic tangent function y=tan(x)? @ *E, 2n, {x€R|x= (2k + 1)m…

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Q: Use an iterated integral to find the area of the region. dy dx = y 81 7 5 4 3 2 1- 1 2 3 4 6 8

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Q: Evaluate the iterated integral. yz dx dz dy 45 в) 34 47/3 D) 5

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Q: Find the area between the curve y=2 and the chord joining the points (0,1) and (2,4). O 0.5608 O…

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Q: Find dy/de y=(1 +Sin 94)6

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Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the given…

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Q: Mic differentiation to Find der :Vative Of Y «in(x+7) x+7)* (In(x+7) + X. X-1 H7)* (x+7) t x+7

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Volume

Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: Given:          Curve y=2x2+10                     y=4x+16

Q: Find the area of the region bounded by the graphs of f (x) = x° and g (x) = Xx. A 1 в) 4 0.5 D 3

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. ex f(x) [0, 6] 1 +…

A: maxima minima

Q: Evaluate the line integral / (x +8y)dx + (5x – 4y)dy along the - curve C : x = 8 cos t, y = 16 sin t…

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Q: |r(t) × r"(t)|| Use the formula k(t) to find k(t). 13 r(t) = ei + etj 30 е4 K(t) : e-t (25 el2t + 1)

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Q: Consider the functions. f(u) = u³ + u g(x) = cos (x) Find the following function and derivatives.…

A: The given functions,fu=u8+ug(x)=cos(x)

Q: Consider the following. f(x) = x* – 4x² g(x) = x² - 4 (a) Use a graphing utility to graph the region…

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Q: Question 10 2 c y? Evaluate the iterated integral. J. yz dx dz dy -1 A 45 В) 34 © 47/3 D 5

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Q: Describe the graph of the equation. r = (5 – 31) i – 81 j O It is a line in 2-space that goes…

A: Given : r=(5-3t)i-8tj

Q: Find the approximate area under the curve of (X) = x²+1 from x = 0 to x = 2, using 4 left- endpoint…

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Q: Verify Divergence by evaluating F.N ds as a surface integral and as a triple integral. F(x, y, z) =…

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Q: Evaluate the integral by choosing a convenient order of integration: « сos(хy) сos1"(тӕ) dA; R —D |…

A: Given

Q: Evaluate the integral / (2x + 3y)dx + (6x – y)dy along the parabolic arc y = x' from (0,0) to (1,1).…

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Q: Question 14 1. 2 Evaluate the iterated integral. J, J. J. (x²+ y² + z?) dx dy dz -1°0 (А) 5 (в) з D)…

A: To find following integral valueI=∫-11∫02∫01(x2+y2+z2)dx.dy.dz

Q: Current Attempt in Progress Find the area of the region inside the circle r = 18 sin 0 and outside…

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Q: Determine the work done by the constant force. The locomotive of a freight train pulls its cars with…

A: Given data÷

Q: Find V x (V × F) if F(x, y, z) = 4xyj+ 9xyz k. V x (V × F)

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Q: Question 11 Find the approximate area under the curve of f (x) =cos from x = 0 to x = Tt, using 4…

A: We have to find it from Trapezoidal rule.

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Q: 1. Determine whether the series is convergent or divergent. If it's n=l e"+1 convergent, find its…

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Q: A lunar module weighs 12 metric tons on the surface of the Earth. How much work is done in…

A: Given that: The weight of the lunar module on surface of the earth, We=12 metric-tons The height to…

Q: 14. Find the curl of the vector field F = x²i – xevj+ 2xyzk

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Q: (b) Evaluate the velocity vector and acceleration vector of the object at the given point. %3D %3D…

A: As you mentioned part b is solved

Q: Find the directional derivative of the function at P in the direction of v f(x, y) = x³ - y³, P(6,…

A: we have to find directional derivative.

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

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Q: |r'(t) × r"(t)|| ||r(t)||° Use the formula k(t) = to find k(t). r(t) = 7 cos(4t)i+7 sin(4t)j + 5tk

A: Given problem:-

Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: Explanation of the answer is as follows

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 19, (1,…

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Q: Question 7 Find the area of the region(s) enclosed by the curve f(x) = x³, the x-axis, and the lines…

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Q: e

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Q: What is the measure of the apothem of the hexagonal base? (c) What is the area of the hexagonal…

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Q: Hello, complete the attached Calculus question correctly and show all your work. Please use the…

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Q: n/2 c sine Evaluate the iterated integrals J. r cos e dr de 0. A 1/6 B 1/2 c) 6 D) 11/9

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Q: Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

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Q: The productivity of a major manufacturer of microwave ovens is given approximately by…

A: Given problem:- The productivity of a major manufacturer of microwave ovens is given approximately…