Use a triple integral to find the volume of the region bounded by 5x + 8y, z = 9, and the planes x = 0 and y = 0. NOTE: Enter the exact answer. V = %3D

Q: 1. Find the volume of the parallelepiped PQRS if the vectors V(PQ),v(PR), and v(PS) respectively 31…

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Q: Determine whether the improper integral diverges or converges. In x dx O converges O diverges…

A: Use integral test for checking the convergence of series

Q: Find the arc length of the parametric curve. 4 cos(t), y = 4 sin(t), z = 3t; 0<t<T L=

A: Here we have to find the arc length of the parametric curve.

Q: denominator is a binomial.

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Q: A. Matching Type. Match the functions in Column A with their corresponding derivatives in Column B.…

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Q: Matching Type. Match the functions in Column A with their corresponding derivatives in Column B.…

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Q: (1+x, if x 2 %3D

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Q: Evaluate Sae 2a (a2 + 9) d. 3c

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Q: Sketch the region R and evaluate the iterated integral F(x, y) dA. (1 - 2x + 8y) dy dx 2.0- 2.0 1.5…

A: A detailed solution is given below

Q: .2 x dx 9 – 4x²

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Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i + 11 sin(t)j + tk; t= -11 /122 T(5) V122 0,…

A: Given: r(t)=11cos(t)i→+11sin(t)j→+tk→ r'(t)=d11cos(t)dti→+d11sin(t)dtj→+dtdtk→…

Q: For the function g whose graph is given, state the following. (If the answer is positive infinite,…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Find the point S so that ray (PQ) and ray (RS) are each of the same vector where P = (2, 5), Q = (1,…

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Q: Determine the value of the Wronskian W (y1, Y2) of y" – 2y +1 = e2 (x +1) if x=1.3 by using…

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Q: ||r'(t) x r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = 8 cos(8t)i+8 sin(8t)j+ 5tk…

A: The given formula is: κt=r't×r''tr't3 And rt=8cos8ti+8sin8tj+5tk

Q: Find the symmetric equations of the line that passes through the points (-2, 1, 0) and (1, 3, 5).

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Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given :

Q: 5- ý = 4x+3y+2 3xt2yt1

A: This is a problem of differential equation. Based on the homogeneous system of equation concept we…

Q: tIND THE AZEA OF THE RECION BOUNDED BY ムラ日ラ0 AND THE THE POLAR X-AXIS AY

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Q: A 25-year old woman burns 350 Gatorade is 55t calories during the tth hour. What is her net decrease…

A: A 25‐year old woman burns 350-60t cal/hr while walking on her treadmill. Her caloric intake from…

Q: In(2+x) lim, x+-1 X+1

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Q: Find the integral of your answer in problems 2a and 2b. Note: My answer on 2a and 2b will be found…

A: Here we have to find the area.

Q: 6) Find the linear approximation to R(t) = VE at t=32 Use the linear approximation to approximate…

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Q: What is the point at which the lines x = 3 - t, y = 2 + t, z = 5t intersects with x - y + 2z = 9 ? О…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t²i + t'"j K(t) =

A: Find k(t).

Q: (D² + 4)y=12; y(0) = 0 , y'(0) = 2 %3D

A: (D2+4)y=12

Q: Find the first partial derivatives with respect to x, y and z f(x. y.2) - 3x°y - 9 xyz + 10 yz² %3D

A: Given

Q: While standing on a bridge 30.0m above the ground, you drop a stone from rest. When the stone has…

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Q: Evaluate F. dr. F(x, y) = 7xi + 8yj C: r(t) = ti + V4 - t²j, -2 sts 2

A: Use line integral concept

Q: Determine whether the improper integral diverges or converges. 0. -4x xe dx converges O diverges…

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Q: 1 T/2 3t/2 -1 - -2 + -3 + -4 - -5 The graph of the function f(x) = sec x is given above for the…

A: Topic:- function and calculus

Q: 1+ cx, if x 2 Given the function: f(x) = C - x, What should be the value of c so thatf is…

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Q: Evaluate

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Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 5y and…

A: To find the integral of volume of solid formed by revolving the given region.

Q: Evaluate sin 5x) lim, 0 (sin 5z ) 3x O 1 O 3/5 O 5/3

A: Topic:- limit calculus

Q: 0.09 ) 12t At the end of t years, the future value of an investment of $37,500 in an account that…

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Q: "I INAICATE If THtE fOLLUWINh SRRZES ConveilCE OR DeveRしe。エ0ENTICY Tésrs Uszo. TESTS HT in (4nt -n)…

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Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

Q: 3 da Evaluate a+2 A. 3 B. 2 С. 1 D. 0

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Q: Find the limit V1+t4 dt lim

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Q: Evaluate the line integral (2x + 4y)dx + (3x – 9y)dy along the curve C : æ = 2 cos t, y = 4 sin t (0…

A: We need to evaluate integral.

Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4, 2)…

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Q: s(2) dr=3 and s (4)d. f (x)dx: =-2. what is (x)dx? Make sure to justify your answer -2 or the…

A: We can find the answer as below using property of integration.

Q: Consider the matrix 2 -1 A =| 1 3 -1 -2 2

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Q: Let 7(t) : - Find (don't include the +C) V

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Q: 5 4 3 1 T1/2 3T/2 -1 -2 -3 -4 -5 The graph of the function f(x) given above for the interval a E [0,…

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Q: 1. The point P(p, 1), where p > 0, lies on the curve x² + 2xy³ – 3yt = 0. a) Calculate the value of…

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Q: d dri(t) • r2(t)] = d [ri(t) × r2(t)] dt ||

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Q: In x 6. lim, x

A: Solution:

Q: Use Riemann Sums to calculate the area under the curve over the interval (1,3] for f(x) = x² + 2

A: By using Reimann Sums to calculate the area under the curve over the interval 1, 3 for fx=x2+2.