Sketch the curve by eliminating the parameter, and indicate the direction of increasing t at t = 0. x = Vi, y = 3t+ 1 10 -6 -4 -2 4 4. 2.

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A: To find the area of the region enclosed by y=0.75x and x=6-y2.

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A: Integral

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A: Given g'(x)=1x2+1 Integrating on both sides, we have ∫g'(x) dx=∫1x2+1 dx

Q: Question The following telescoping series Σ en+1 en+2 - n=1 converges to e - 1

A: The given problem is solved below in detail.

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A: The position of a particle,    st=4t3+5t+9

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Q: Consider the expression: ey = 4x + y* , In which y is an implicit function of x , after derivation…

A: Given problem :- ey =4x+y4 , find y'

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Q: Use a double integral to find the volume of the indicated solid. 9 z = 9–2 y 2 y=2 4 X=4

A: Consider the solid

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A: we have to find directional derivative.

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Q: 23. Use Stokes' theorem to evaluate Se F · dr, where F(x, Y, z) = (xy, yz, zar) and C is the…

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Q: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

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A: Given the following functions: fx=cosxgx=x17+1To find ddxfgx and ddxgfx.

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Q: (8) Using Taylor's formula, e" log(1 + is approximately equal to (a) x – xy (b) х — ху + 2 (c) x +…

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A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: What are the characteristics of the graph of the tangent function?

A: What are the characteristics of graph of tangent function

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Q: Find the average value of f(x) = 14 – |x| over the interval [ – 14, 14]. fave

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i +j+ 9k w = i + 7j + 6k Find…

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Q: Find f such that the given conditions are satisfied. 17) f(x) = 5x2 - 7x + 4, f(0) = 2 A) f(x) =x3…

A: Given f'(x)=5x2-7x+4,   f(0)=2To find f:

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 5…

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Q: 3X C-6X)

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Q: 99. Find the point of inflection of the curve y=(9x^2-x^3+6)/6. a. 3,10 b. 2,8 с. 3,8 d. 2,10 100.…

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Q: x² +y²+2 16. Find the volume of the region that lies under the graph of the paraboloid z = over the…

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Q: Use Green Theorem to Evaluate y x'dx – x²dy where C is left half of x² + y? = 25

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A: Let's find.

Q: f(In) For the function f(x) = x + 3x + 1, write Newton's formula as En +1 = F(In) = In - %3D for…

A: Topic:- application of derivatives

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