A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out? _____________ rad/s

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A: answer is in next step

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A: Let's find velocity 2 Second after the start of the movement.

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Q: conds after th mem 3) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

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A: Given

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A: To find the area of a parallelogram having the vertices P1, 1, -1, Q4, 2, 1 and R6, 3, 1.

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A: Let's solve given diffrential equation.

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A: Given.

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A: Taylor series of function fx at a is defined as:…

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Q: Evaluate the following integral: * *π/2 [sin² 6 1/42 4 O - (2/63) O - (3/28) O 2/63 sin x cos³ x

A: The objective of the question is evaluate the definite integral and choose the correct option.

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A: To solve the given differential equation.y'''+4y'=sin x+3 cos x

Q: 4. [ε (8x − 3) (4x² – 3x) * dx

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Q: III. Solve the following problems. 1. A manufacturer of tin boxes wishes to make open boxes from…

A: A manufacturer of tin boxes wishes to make open boxes from pieces of tin withdimensions 8 in. by 15…

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Q: f" (1) =

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A: To find the series expansion of following

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A: Given problem:- Find the derivative of y=log2x/x

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: Find the derivative of each of the following functions:-- log₂ x 2. y= X

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Q: Q3/ solve the differential equation below: 1. ²-3x+2y=0 (Complementary Function)

A: topic- differential equations

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A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

A: The area of the surface obtained by rotating the curve y=f(x) from x=a to x=b about the x-axis is…

Q: The graph shown below is f(x) = 2x 2 - 1. If g(x) = f(t)dt, find g'(3). X 543-2-1 1 2 3 4 5 -2 54 &…

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Q: f21 csc 3xcot3xdx

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = 3 (1+x) f(x) Σ = n=0

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Q: Applications

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Q: 7. Evaluate the integral

A: answer is in next step.