Evaluate the following expressions (note, you may not leave your answer as an algebraic expression) a) e3 ln(5) _ = Number b) 102 log10 (5) = Number c) log2 (278) = Number

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A: Given; why JK2 became 2 x 11?

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A: 7) Given:     a=8, b=7 , c=13

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A: To solve the problem of differentiability by seeing the graphs of the function.

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A: Here we have to find the average rate of change of function.

Q: 8. a 10, b= 11, c= 12

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Q: 37. Cost of Transatlantic Travel A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an…

A: see below the answer and calculation As per bertleby guideline I have to solve only 3 subparts. So…

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Q: 11 6.25 12 12.5 X 13 25 X 14 37.5 X 15 50 X

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Q: Let a and b be constants in R and If_lim (f(x) — (ax+b)) = 0, what is the value of b? ∞0++20 f(x) =…

A: Let a and b be constants in R and fx=5x2+6x+7x-5.If limx→+∞ fx-ax+b=0, then to determine the value…

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A: Given; Lima-1[1/(a-5) -1/6]/(a-1).

Q: 6. Find a general solution for y" - 4y' + 4y = 0; y(0) = 2, y'(0) = 4.

A: Given differential equation y''x-4y'x+4yx=0, with initial condition y0=2, y'0=4

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A: Solve the following

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Q: 4 -3 42 -1 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 1 12 Identify the function whose graph appears above as f(…

A: We can solve this as follows:

Q: d) tx' = -x + t².

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Q: Suppose C is a constant and that O 1 0 1 2 exists. Then this limit must evaluate to 2 lim x→0 2…

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Q: 1. Obtain the general solution of the given DE: (t² + 7st + 16s²)ds = −s²dt. The DE is homogenous…

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Q: s the function f(x)=4 x +(2)/(7) linear or nonlinear?

A: Is the function f(x)=4x +(2/7) linear or nonlinear?

Q: 8. Find the position function r(t) given that a (t) = (-1,-1,-1) and 7(0) = (-5, -5,5) and 7(0) = 0.

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Q: If y= X 1-x +7x+9, find y' .

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Q: Please can you rearrange this differential equation into standard form and then select from the…

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Q: x(x² - y² - x) dx - y(x² -y2) dy = 0 ; x = 2, y = 0 O 3(2x^2y^2 + x^4 - y^4) = -4(x^3 + 4) 3(2x^2y^2…

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Q: Find the local maximum of the function f(x), which is given in the graph below. 4 -3 Give your…

A: find the local maximum of the function from the given graph.

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Q: If f(x) is continuous in the interval [-1, 2], f(-1) > 0, and f(2) > 0, can we use the Intermediate…

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Q: ity before taking limits. 33. f(x)=x²+1

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Q: Let f(x)=(x+x^-1)^2. Find f'(5).

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