(1 point) Evaluate f(x) dx, where [² f(x) dx = [ 7x5, 0

Q: 3 Evaluate 7x? dx 1 7 (Hint: f(x) = 72? and F(x) = a*) 3

A: The given integral is: ∫137x2dx Since, 7 is a constant, so take it out side. ∫137x2dx=7∫13x2dx The…

Q: x+1, x 1 Show that the function is continuous at x = 1

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Q: -f(x) = x² – 2x – 3, then on which of the following intervals is f increasing? If dx

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Q: Please

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Q: Let f (x) be equal to -x + 1 for x < 0, equal to 1 for 0 < x < 1, equal to –x + 2 for 1 < x.…

A: To evaluate the integral

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: -2 Find the interval(s) where f(x) =- 64-x2 is continuous.

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Q: Assume the following: f(x) dx ce. ƒ(2) dx = 2, ª f(z) dx = 3, 9(z) dz = -1, and + [°²9(2) ² = 2, […

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Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .