20. Find the area of the region bounded by the curver=8 cos 20. С. 12л A. 16π В. 32л D. 8t

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A: Gradient

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A: Aec length of the given curveL=∫131+dxdy2dy    Considerx=16y3+12y-1thendxdy=(16×3y2)+-12y2…

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A:

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Q: rl+ 4sino

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A: As you mentioned part b is solved

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A: Explanation of the answer is as follows

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A: Given

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A: form a integral then solve

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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: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 4…

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Q: Evaluate the iterated integral. 1 2r y 8ry: dz dy dx

A:

Q: 2. Write the given (total) area as an integral! a. The area above the x - axis and below y = 4 -x2 T…

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A: Solution:

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Q: Question 6 Use double integration to find the volume of the solid. ... 3 3x + 2y + 4z = 12 A) 6 B) 9…

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Q: Evaluate the iterated integral. x dz dy dx 128/15 16/89 23/6 6.

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Q: find the differential dy. Hence, estimate the value of 1+ (1.023 2H y =

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A: Given , A tank originally contains 100 gal of fresh water. Then water containing (1/2) lb of salt…

Q: Question * Determine the nature of convergence of the following improper integrals 00 1 dx 1+ x* A =…

A: ∫a∞f(x)dx=limR→∞∫aRf(x)dx  If the limit exists and is a finite number, we say the improper integral…

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A: This question is related to Trigonometric functions, we will solve it using given information.

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Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

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A: Given :f(t)=00≤t≤17t-7t≥1

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A: Given curve r= 1+ 3sin( theta)

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Q: 3. The derivative of f(x) = In x at x = 3 when h = 0.002

A: 3) To find the true error and relative error of the function: f(x)=ln x, x=3 &amp; h=0.002

Q: Question 18 Find the surface area of that portion of the surface 2 = V4 -x that lies above the…

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A:

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A: Given: y=2x-6x=0 and x=4

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A: We have to find the conservative vector field.

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A: We have to find area of shaded Region.

Q: r=1+ 3sino

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 6…

A: A detailed solution is given below.

Q: Express the area of the given surface as an iterated double integral, and then find the surface…

A: We have to find the surface area.