Find the speed at the given value of t: r(t) = (e4, -9,4t-1),t = 4

Q: t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2

A: The given data is: t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2 To…

Q: /2n?

A: The given series is: ∑n=1∞(-1)n(-1)n2n2+5=∑n=1∞(-1)2nn2+5n2=∑n=1∞1n2+5n2

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A:

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A: Solve the following

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A: This question is related to Rolle's theorem, we will solve it using given information.

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A: We can solve this as follows:

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A: topic -application of derivatives

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A: The given function,       fx=12x+12

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A: To solve the following differential equation.ρdTdρ-4ρdρdT=0; T=T0, when ρ=ρ0

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A: According to Bartleby guidelines I can only answer the first question of the given two questions.…

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A: This question can be solved using the concept of convergence and divergence.

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A: We have to find the extreme points.

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A: answer is in next step

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A: Follow the procedure given below.

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Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

A: This can be done as follows:

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A: Formula:ddx(a f(x))=a  ddxf(x)ddx(xn)=n xn-11)f(x)=10 x10f'(x)=10 ddx x10f'(x)=10 10 x10-1f'(x)=100…

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A: Answer is in step 2.