Use the Fundamental Theorem of Line Integrals to calculate ∫c F*dr exactly, if F= x^(2/5)i +e^(y/5)j, and C is the quarter of the unit circle in the first quadrant, traced counterclockwise from (1,0) to (0,1). ∫c F*dr=

Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the…

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify…

A: Use tangent plane formula

Q: Find f if f"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) = = 2e^t-3sint+ (2e^(pi) - 5)/(pi)t

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Q: Find xp by implicit differentiation. S 4e*"y = 2x

A: According to the given information, it is required to find the implicit differentiation.

Q: State whether or not the divisor is a factor of the given polynomial. 1. (x -x-42)+(x+6) 2. (4x…

A: To state whether or not the divisior is a factor of the given polynomial.

Q: Find the tangent line to the function f(x) = 2x cos4(x) at the point (0,1)

A: We have given function fx=2xcos4x and point 0,1. We have to find tangent line to the function at the…

Q: What are the principal parts ant all the poles of f=1(e^(z) -1) ?

A: Given

Q: Find f if f"(t) = 2e¹ + 3 sin(t), f(0) = −4, ƒ(ñ) = 9. f(t) = 2e^t-3sint-6

A:

Q: Find f’

A:

Q: Determine the tangent line to the curve when t=2 x=e^2t sint and y=e^3t

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Q: EVaLuateAt W= X X=cos't Y=cost sin

A:

Q: Find the area between the curve y = sec (4x) and the line joining the points (-,2) and (. 2).

A: Consider the given information: To find the area between the curve and the line joining the points.

Q: Use Implicit Differentiation to find f'(1/4) at (1/4 , 1/4) where y=f(x) and sin^2 (pix) +…

A:

Q: Given the velocity function v of an object moving along a line,explain how definite integrals can be…

A: From the given data:

Q: An area is bounded by the x^2+10y-1600 curve  and the -xaxis. Find the moment of inertia (in units4)…

A: