Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t→+o\ 9t2 + 10' 3t (?, ?)

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A: Solution: ∫t cost2dt

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A: A separable differential equation can be written is of the form of dydx=f(x)g(y).

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Q: Find out whether the series given below converges or diverges. 00 Σ 5n + 8 n = 1 Choose the correct…

A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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A: answer is in next step

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A: We can answer and explain the answer as below.

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A: Here we will find whether series is convergent or divergent,

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A: Consider the differential equation  5y''+y=0

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Q: 5/10 Question 7 of 9, Step 1 of 1 Correct -2 2 The demand function for a particular product is given…

A: Given problem:- The demand function for a particular product is given by the function D(x) =…

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Q: An antiderivative for is: 22 +81+20 1 O In + C I+8 ㅇ 올tan-1 () +C 금i미플의 O In 28|+ C O tsec- (4) + C

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A: We have to find

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

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A: We have to approximate  S=∑n=1∞ 2*(-1) n+1/n!      On expanding this series we get S= 2[1-1/2! +1/3!…

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Q: Suppose a population function P(t) satisfies the following differential equation. P is measured in…

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx x²V4-x2

A: The given integral is 1/[x2 sqrt(4-x2)].

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A: Firstly , write the given system of equation in augmented matrix form and after that apply row…

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Q: A company determines that its demand function is given by p(g) = - 0.7g + 547 and that its cost…

A: Given query is to find the quantity for maximum revenue.

Q: 3. Find the area of one of the sine curve.

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This question can be solved using the concept of tangent and normal in vector form.