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Calculus

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Q: Use the attached graph to a. determine the x-intercepts, if any; b. determine the y-intercepts, if a...

A: a) The graph cuts/touches the x-axis at x=-2 and x=1 So, x intercepts are x=-2 and 1 Answer(a): ...

Q: Consider the probability density function for a random variable X, given by for 0 < x < 5 10 f(x) =D...

A: For the given random variable X, its probability density function is given by

Q: Use an identity to solve the equation sin 2x cos x + cos 2x sin x = √2/2 on the interval [0, 2π).

A: Click to see the answer

Q: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated ...

A: Quadratic Formula: The quadratic formula to find the roots for an equation ax2 + bx + c = 0 is given...

Q: Determine whether the following series converge. Justify your answers.

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Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: From the graph we see that, when x is close to 3, then y is close to 1. So the limit exists.

Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminantindicate about the number an...

A: The discriminant of 4x2 - 8x + 1 = 0 is:

Q: Sketch the graph of the function. (Include two full periods.) y = 3.

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Q: obtain a slope field, and add to it graphs of thesolution curves passing through the given points. y...

A: Given Data The differential function is y’=2(y-4). The point is (0,1). Evaluate the slope by subst...

Transcribed Image Text

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) x2 - 4x - 1 dx (x - 1)2(x2 + 1)