Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an answer does not exist, enter DNE.) f(z) = In(z² - 64) (smaller value) (larger value)

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A: We have to find the derivative

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A: We can find the value of c that satisfy the equation  f(b)-f(a)b-a = f'(c) .

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Q: Use an Addition or Subtraction Formula to find the exact value of the ex CoS 12

A: we want to find the value  cos7π12

Q: your simpest form. factore. S dy (ay+ 13) Jyt4

A: the integration of the integral is 5/[(2y+12)(sqrt(y+4))].

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Q: PROPER

A: We will solve this homogeneous differential equation.

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A: Since we know that tan(arctan x) = x

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A: Given: f(x,y)=x2-2xy+y2, (5,7,4).

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A: Given

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A: To evaluate: I=∫x+2-1dx

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A: We will find the integration.

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Q: how about the equation of the normal line?

A: Apologies for the inconvenience. Here is the solution for the normal line:   From the original…

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A: Solving the problem by finding the integration of the problem.   NOTE :: As per our Expert…

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A: Explanation of the answer is as follows

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Q: 2-use Cramer's rule to solve the system 3tan²x+y=3 2 tan’x -3y=13 X.

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A: Use the Newton Leibniz Theorem and calculate the derivative.

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Q: 4 Find the arc length of y = (*)* + 70 over [1,2]. 2(x+3)2 (Give an exact answer. Use symbolic…

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Q: Assume that in the absence of immigration and emigration, the growth of a country's population P(t)…

A: In the absence of immigration and emigration the growth rate of the country is given by dP/dt = kP…