Suppose an object moves along a line at 19 m/s for 0sts2 s and at 25 m/s for 2

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A: Given problem:- Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere…

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A: Given query is to find the value of the expression.

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A: We can sole this as follows:

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A: Here, let h be the height, l be the length and w be the width of the box. Then given that height, is…

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A: Given; r1(t)=4ti+4t^2j+4t^3k , r2(t)=t^4k

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: Let's find.

Q: [xe

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Q: -8x+18 f(z) 9(z) The partial fraction decomposition of can be written in the form of 8x2 + 14x + 3…

A: Here we have to solve the problem by using the concept of partial fraction to obtain the desired…

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Q: Jse one of the formulas below to find the area under one arch of the cycloid x = t – sin(t), y = 1 –…

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Q: Find the maximum profit P if C(x) = 10 + 56x and p= 92 – 2x O A. $142.00 O B. $152.00 O C. $166.00 O…

A: topic - application of derivatives

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Q: 14. A rocket is being launched straight up from ground level, and the launch is being monitored by a…

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Q: average rate of change

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Q: dx .4

A: we have to find out the integral

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A: We have to find out maximum and minimum

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Q: what are the real-life application of differentiation

A: Differentiation refers to finding the rate of change of one quantity wrt the other.

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A: We need to choose correct option.

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Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Given query is to find the value of the integral.

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A: Given query is to find the number of unit to minimize the cost.

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A: We have to solve the limit

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Q: Determine the area enclosed by f(x) = a° + æ? – æ + 7 and g(x) = æ³ – 2a + 27. The region in…

A: Here  we have to find the area bounded by the curves.

Q: Find the cost function if the marginal cost function is given by C'(x)=x 1/2 + 5 and 9 units cost…

A: The marginal cost function is given by,   C'x=x12+5

Q: 3 a. f(x) = V3x³ – 2 - b. y = (vx + 1)(x² – x) 2x5-3 c. f (x) coS x

A: a) fx=3x3-23b) y=x+1x2-xc) fx=2x5-3cosx Note:   Multiple parts are given, we are answer only three…

Q: Sketch the region enclosed by x + y = 42 and x + y = 0. a) Favoring convenience, should you…

A: Given; x+y^2=42 , x+y=0