Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time does y increase to 100 or drop to 1? (If an answer does not exist, enter DNE.) t =

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A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

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A: Given:   P = 1100    r = 5%     t = 16 month

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Q: (3'0)1d メニ THE INDEN i3) FEND EQUATEON

A: Question is solved.

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Q: 1 3) For which a does converge? Justify your answer. n(In n)e n=2

A: This question is related to series.

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A:   f'(x) = 0  at x = 1 and x = 6 Hence, the graph of f has a horizontal tangent line as f'(1)= f'(6)...

Q: 5) lim f(x), if f(x) px+1 t(x-4)2+3 if x<2 if x22 x-2 2- 2+ f(x) f(x) 1.5 2.5 1.9 2.1 1.99 2.01 1.99...

A: Topic:- limits

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Q: Consider the exponential function f(x) = 58(0.36)x. What is the 1-unit percent change for f

A: We can find the 1-unit percent change for f as below.

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Q: Find the general solution of the following homogenous lineare 1. (D² +5D + 6)y = 0 %3D 2. (2D? – 5D ...

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Q: x², if xs1 4. Let f(x) = . Find f. (1) andf'(1). Does f'(1) exists? 2x, if x>1 Show that the functio...

A: 4. fx=x2,if x≤12x,if x&gt;15. y=f(x)=x2-3x

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A: Given query is to find the average velocity using the table.

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A: Topic:- function and its transformation   

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Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log7 69 (a) common log...

A: We can write the answer as below.

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A: we have to integrate fx 

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A: Topic   = Limits

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A: Given table Input (x) Output (y) −2 −8 4 10 9 25 12 34

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Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

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Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.

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Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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Q: 3. y = V(2x + 5)3

A: (3). Given: y=2x+534   The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1

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A: QUESTION- For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x...

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Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

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