Use double integration to find the volume of the solid. ... 3x + 2y + 4z = 12

Q: Find the volume of the solid that results when the shaded region is 8 revolved about the indicated…

A: Volume of revolution

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A: Given,y=5x4-x-4  Formula: If, y=xn then, y'=nxn-1

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Q: Find V × (V × F) if F(x, y, z) = 6xyj+ 4xyz k. V x (V × F

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 51…

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Q: dx 2.

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Q: What is the closed-form expression for the series 2 (k+ 1)², k=1 13 n3 + B

A: First expand the squre  term and make it in standard format then use the formula of summation.

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A: topic- distance between lines

Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 30…

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Q: Describe the graph of the equation: r = 5ti – 8j + (1 + 5t)k. [Choose the correct answer.] O The…

A: Given, r= 5ti -8j +(1+5t)k Therefore, The equation is given by, r= <0,-8,1>+t<5,0,5>

Q: find SCE) at timet V=-5t+5, S0) = 14

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Q: Find r(t) for the given conditions. r"(t) = -4 cos(t)j – 3 sin(t)k, r'(0) = 3k, r(0) = 4j %3D %3D…

A: Given

Q: Which of the following angle measure (in degrees) is coterminal to an angle of measure 660 degrees?…

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

A: We have to calculate volume of solid obtained by revolving the region enclosed by curves x=cosecy,…

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x + x)dx. (5 points) 2.…

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Q: -Ive the derivative dy for the function: x dx = e'sint ; y = ecost %3D

A: To find dy/dx.

Q: x-4 \x – 4 Evaluate the limit. 1 11 lim x - 4 x2 + 3x – 28 X-4 Give your answer in exact form. If…

A: Given problem:-

Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

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Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (¤, g) = |(?, ?) %3D y = =? 1

A: y=x7

Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: Evaluate the definite integral. (9ti + 3+j + Vik) dt 9ti + 3tj tk dt

A: Topic = Integration

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.

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Q: A conical tank with a diameter of 2 m across the top and 3 m high is filled with water. Find the…

A: The given problem is solved below in detail.

Q: 8. 1) Use the Integral Test to determine whether the series is convergent or dive n' +1 n=1 Please…

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Q: 2. Prove that the p-series converges for p > 1.

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

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Q: f" (x) = cos x, f(0) = 1, f'(0) = 2, f'"(0) = 3.

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Q: Point Func tion h(x.y)-7ycos (x-y) Co,Ti/3) Dn(o,1/3) = %3D

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Q: (xy)=efr sin), Plo,0l Q(5,1)

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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 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: 2. Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

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Q: Question 15 1-sine Evaluate the iterated integrals J. J. p2 cose dr de̟ A 1 В) 2

A: ddθ(sinθ)=cosθ ∫rndr=rn+1n+1, for any real number n.

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