For which positive integers k is the following series convergent? (Enter your answer as an inequality.) k>0 8 n = 1 (n!)² (kn)!

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Q: Find the value without finding the antiderivative. 5 [²√ 25 - X² dx

A: To find the value of the following integral without finding the antiderivative.

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Q: 3 Calculate the flux of the vector field (³, y³), out of the annular region between the x² + y2² 9…

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Q: Graph the functions in Exercises below. What is the period of each function? 32. sin 2x 33. сos TX…

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Q: Consider the function f(x) = 5x² + 6x - 18 Find the instantaneous rate of change of the function at…

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Q: Find the total area of the shaded region bounded by the following curves. x= 12y²-12y³ x=2y²-2y

A: From the given graphRegion is bounded by x=12y2−12y3 and x=2y2−2yFrom the…

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Q: Consider the triangle below (not drawn to scale). A ZA= b ZB= с C Let a = 10, b = 7 and ZC = 150°.…

A: a=10b=7Angle C= 150 degree

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A: The given expression is

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Q: Sketch a graph of x = 3t-1, y=t-1. -5 -4 -3 -2 -1 Clear All Draw: 5 4 3- 2 1 -1 -2 -3 -4 -5 1 2 3 4…

A: Sketch the graph and orientation of the parametric equation.

Q: 3. Find the inverse function for f(x) = x-1 3x+1

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Q: Click on the graph to view a larger graph Find the indicated anglez of the triangle ABC given in the…

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Q: Newtons method determine x1 for f(x)= x3-7x2+8x-3 if x0=5

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Q: Draw a graph of the signed area represented by the integral and compute it using geometry. '3 L₁₁x1…

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Q: Problems 5-6 show the derivative f' of f. a. Where is f increasing and where is f decreasing? What…

A: Consider the graph of f'

Q: Practice problems on section 9.5 Solve trigonometric equations: Solve the following equations on the…

A: This is question of algebraHere trigonometric equation are given We have to solve for x.Further…

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Q: An interior designer wants to decorate a newly constructed house. The function f (x) = 49x2 – 200…

A: An interior designer wants to decorate a newly constructed house. The function f (x) = 49x2 – 200…

Q: The graph of f(x) is shown (see figure). 6x x² + 1 f(x) (a) Find the following limits. lim f(x)= x →…

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Q: Use integration by parts to evaluate the integral: fe-t sin( e-tsin(-10t)dt 1 - [ 101 sin(-10t) +…

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Q: Finish solving the triangle: A ZA = ZB= ZC = 1. a a = C 7 b= 10 C = 9 Enter your answer as a decimal…

A: Consider the triangle

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Q: find all possible functions with the given derivatives  y'=7x6+9

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Q: needed, enter the values as a simplified fraction. (Examples: 1/2, -14/3) any operation is undefined…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. (5y +…

A: ∫C(5y+7ex)dx+(10x+3cos⁡y2)dyC is the boundary of the region enclosed by the parabolas y=x2 and…

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Q: Evaluate the double Integral Answer: 11,62 6ry dA, where D is the triangular region with vertices…

A: In this question, we will find the double integral.

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Q: 9. Find and simplify the difference quotient for a. g(x) = 2²/12 X b. f(x) = √x

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Q: x^1/3(x+3)^2/3 find critical points, increasing and decreasing, inflection points, local minimum and…

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Q: 35. cos (x- 2

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Q: Consider the following. f(t)= t + cos(t), -2π st≤ 2.T (a) Find the interval of increase. (Enter your…

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Q: Suppose f(x, y, z) = x² + y² + 2² and W is the solid cylinder with height 5 and base radius 6 that…

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Q: Find the absolute maximum and/or minimum points and values for r(x) = -5 on (3,7).

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Q: The function f has continuous second derivatives, and a critical point at (-5, 1). Suppose fez(-5,…

A: Conditions are given as follows