t Let f(x) = 4x4 + 6. (a) Use the limit process to find the slope of the line tangent to the graph of f at x = 4. Slope at x = 4: (b) Find an equation of the line tangent to the graph of fat x = 4. Tangent line: y =

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Q: pls

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A: Write expression in terms of m and n for each of the following.

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A: We need to find y'(x).

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A: This is a problem of ODE. Please follow the procedure given below.

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A: This question is related to Laplace transform, we will solve it using given information.

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A: Follow the procedure given below.

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A: Given fx=x-8x-2x-4

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A: We can answer both the answer as below.

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Q: 2. Consider finding the root of f(x) = e*(3.2 sin(x) - 0.5 cos(x)) on the interval [3, 4], this time…

A: Concept: Bisection method: To determine the roots of a polynomial problem, utilize the bisection…

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A: See the details solution in below

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A: We will solve this problem.

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A: The given function, gx=1x-1if x>0x2-1if x≤0

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A: Given,…

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A: Since multiple questions are asked, I am answering first question

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A: Let f(x)= x+a, a is a constant So, f'(x)=1

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A: Y=sin(2x)

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Q: (b) Determine whether the series n=1 n 3n+2 n is convergent or divergent.

A: See this solution in below

Q: Find and graph the level curve of the function g(x,y)=x^2+y^2-6x+2y corresp

A: the answer is given in step2