A ball is thrown from a height of 72 feet. Its position above the ground is given by the formula h(t) = −16t 2 + 29t + 72, where t is measured in seconds. Determine how long it takes for the ball to strike the ground?

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A: I have solved step by step in detail...go through the solution

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Q: 1. Solve the DE shown below using Reduction of Order; n = 2 y" -n²y = enx

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Q: 6. If f f(x) dx = 10 and ₁ g(x) dx = 6, then [2f(x) - 3g(x)]dx is

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Q: 2-Solve S x-2 x²-4x+5 dx

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Q: Given that the point (-120, 64) is on the terminal side of an angle, θ, find the exact value of the…

A: We have given a point on the terminal side of an angle x,y=-120,64 r=x2+y2=-1202+642…

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y² = 36 and…

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Q: 1. If the total revenue received from the sale of x items is given by R(x) = 10 ln(2x + 1) while the…

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Q: a) 023 = 8 b) 023 = 4 [13-27 A-2 7 04 c) 02-0 Qu

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Q: Find a parametric description r(t) for the line segment from (-5, -5, 4) to (7,-3, 4). Provide your…

A: The given points are -5, -5, 4 and 7, -3, 4 We have to find the parametric equation of the line…

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Q: Find the "area under curve" of −x2+10x-x2+10x between x=3x=3 and x=5

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Q: 1. Evaluate the limit, if it exists; otherwise give the reason why the limit does not exist. 2 (a)…

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Q: Example 4. Let's calculate sin (3x) cos(x) dx. We have 1 I sin sin(3x) cos(x) = (sin(2a) + sin(4x))…

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Q: Suppose p² = 3x³ P=9 x=3 de 2 = 4 : Find: dx dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) Original Integral [x-√³x [(x…

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Q: Question 14 If cot 0 = and sec 0 < 0 . What is the value of csc 0 ? O O O 6 √85 7 √85 6 √85 7 √85 6

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Q: 4. f(6e* - 3sinx + 2sec²x) dx.

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Q: Evaluate the integral. Check your result by differentiation. (Remember the constant of integration.)…

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Q: Answer full question

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Q: 3. S (6x² + √x − ³) dx

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Q: Find the local maxima and minima for the function f(x) = x² + 3x - 4. If there is more than one…

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Q: Consider the following function. F(x) = x4/5(x - 1)² Find the derivative of the function. F'(x) =…

A: Given:     Fx=x4/5x-12   Derivative of the function:     F'x=ddxx4/5x-12 Apply product rule:…

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Q: Does the following series satisfy the hypotheses of the Alternating Series Test? Explain. 00 k=1…

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Q: Find dy/dx • lne^x-y  +lnx =e^x-y • e^x (y-e^x) =lny

A: To find the derivative of the following functions