Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then find the open intervals analytically. (Enter your answers using interval notation.) 1 (x+4)² increasing decreasing f(x) = -10 y 20 15 10 5 5

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A: Here we will find dy/dx on doing differentiation of x and y with respect to t,

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A: Explaination of the answer is as follows

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A: Given a function  where  called signum function is defined as To evaluate the following:

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Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A: The given limit .The aim is to find the limit using the table of values.

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A: We have to fill in the blanks from the given information.

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Q: 7. Let Evaluate each of the following, if it exists. a. lim f(x) x-1 b. C. lim f(x) f(x) = f(1) X,…

A: The given function,The aim is to find the following limits,(a) (b) (c) Note: Since you have posted a…

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A: The given line is,Take derivativeSo the normal vector is,

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Q: 3. (y) = = y, y 1 2, (2y1,

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: In Problems 13 and 14, determine by inspection at least one solution of the given differential…

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Q: 1. f(2)=0 II. (x+4) is a factor of f(x) III. f(5)=f(-1) I f(x)

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Q: 14. Consider the plane 3x - 4y + z = 2 and the point P = (1, 2, -1). Find the point of intersection…

A: Given that, the equation of the plane is    and the point

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Q: 3y²y + y³ = ex

A: 3y2y′+y3=e−x

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A: To find a parametric equation for the line passing through the point P(−5,7,10) and parallel to the…

Q: Problem 1: For the two vectors A = x -2ŷ - 2 and B = 2x + y − 32, find (a) A- B, (b (A - B). (A +…

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Q: 1. What is the exact value of sin Answer: 12 ?

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Q: MIN 2 2" NIK. 2 X

A: By the answering guidelines of Bartleby, we can answer only first three subparts, Please post other…

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A: from (1) and (2)

Q: dy d.x x-1 2, y(0) = 1.

A: Here we will solve the given differential equation by variable separable method

Q: e^(lnx+ln5) simplify the following expression

A: e^(lnx+ln5)

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A: Here we have given an integral:and

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A: Solution is following in explanation step.

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A: Limits

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A: Given that a limit problem and we solve this problem by using general property of limit.