A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by h(t) = −4.9t² + 14t + 3. How many seconds does it take to reach maximum height? Enter the answer with at least 3 decimal places.

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A: Given query is to find the integral.

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A: Given differential equation:- x2y''+5xy'+13y=0

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Q: #1

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A: Your solution is correct.

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A: see below the answer and calculation

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A: Given query is to find the Indicated derivative.

Q: 10. Find the absolute min and absolute max of h(s) = 2s³ + 3s² – 12s for −3 < s < 2.

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A: To determine  whether the integral ∫01sin xx dx is convergent. To explain why.

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A: to find the y-intercepts, take x=0

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A: To differentiate the given function using quotient rule.

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A: We can find the derivative using product rule in the below steps.

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A: eeex' =eeexeex' =eeexeex+x=eeex+ex+x

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Q: Family Tree A person has two parents, four grandparents, eight great-grandparents, and so on. How…

A: Please see the answer.

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Q: 1) Suppose that F(x) = 15x³+4x² - 3x + π. For each of the following questions, type yes if the…

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Q: Question 5 Determine the derivative of tan(e) O e sec(e) tan(e*) 25+2 1+e²² O e sec²(e) O sec(e)…

A: To determine the derivative of tanex.

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Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: Evaluate the following integral using trigonometric substitution. S dt 1²√36-1² OC. t-6 tan 0…

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A: Topic -Partial fraction decomposition We are given, 3x(x-1)2(x2+3)

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A: Let x m be  length and y m be  width of rectangle  Perimeter of rectangle=2x+y m Area of…

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Q: Consider the following. √x + √y = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the…

A: See this solution in below.

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Q: 3. Let f(t) = t(1 - 2t). a) Find the average rate of change of f(t) with respect to t as t changes…

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Q: Find y': y = arc cos 0 = -√2 O y Oy=-1/72 V Oy= Oy=-- 9-1² 3

A: