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Abigail Carrera

Abigail C.

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Sam Stansfield verified

Numerade educator

Question Given the piecewise function below, find the value of k which makes the function continuous. f(x) = { 2x + 3 if x < 2 k + 5x if x >= 2 Give just a number for your answer. For example, if you found k = 12, you would enter 12. Provide your answer below:

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Ashwin Banarsee verified

Numerade educator

Find the area, in square units, bounded above by f(x) = 2x^2 + 4 and below by g(x) = 3x^2 + 9x + 24. Provide your answer below:

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Zhumagali Shomanov verified

Numerade educator

Question Find the value of k which makes the following piecewise function continuous for all values of x. f(x) = { k + 6x if x <= -2 f(x) = { kx + 9 if x > -2 Give just a number for your answer. For example, if you found k = 12, you would enter 12. Provide your answer below:

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Zhumagali Shomanov verified

Numerade educator

Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

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Jacob Fry verified

Numerade educator

Question Find the value of k which makes the following piecewise function continuous for all values of x. f(x) = { 7 if x <= 1; k + 5x if x > 1 } Select the correct answer below: -1 0 2 3 5

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Bcrypt_Sha256$$2B$12$Koudzt7Vugfesdqzt.Btsohdsno3/5Wc5Bsgjhyqjgxswzij15Z06 Bcrypt_Sha256$$2B$12$Koudzt7Vugfesdqzt.Btsoec1F7Nikxndin/Owbntbjji9Jzcznki verified

Numerade educator

Question Given that y(x) = -e^{x-6}, what is the antiderivative of y(x)? (Do not include the constant C in your answer.) Provide your answer below:

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Steven Clarke verified

Numerade educator

Find the antiderivative of p(x)=x^(-1/2)+x^(3/2). (Do not include the constant C in your answer.)

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Chloe Frechette verified

Numerade educator

Question Let h(x)=f(x) g(x). If f(x)=-3 x and g(x)=-4 x^2+x-4, what is h'(x) ? Select the correct answer below: (-3)(-4 x^2+x-4)+(-3 x)(-8 x+1) (-3)(-8 x+1)+(-3 x)(-4 x^2+x-4) (-3)(-8 x+1) (-3)(-4 x^2+x-4) (-3 x)(-3)+(-4 x^2+x-4)(-8 x+1)

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Richelle Chappell verified

Numerade educator

Let h(x)=f(x)g(x). If f(x)=x2−2x−2 and g(x)=−4x, what is h′(x)?

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Ashwin Banarsee verified

Numerade educator

Question Analyze the graph of f' below. What is the least value for x at which f has a local maximum? x = Do not include "x =" in your answer. Provide your answer below:

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