on what interval is the function concave down? (Grungy numbers) h(x)= e

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A: Step 1:​ (iv) I=∫xln2x−1​dxI=∫xln2(x)​dx−∫xdx​→(i)Let I1​=∫xln2(x)​dxUsing the method of…

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A: Plug in the value of x = 0

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Q: QUESTION 2 Assume that f is continuous and that f(x)dx=-2. Evaluate f²x2f(x² + 1)dx. 00

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Q: 11. Submit answer Practice similar Suppose that e6x f(x) = x²+5 Find f'(2). f'(2) = Submit answer…

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A: Step 1: Given:r(t)=2ti^+34​t3/2j^​+21​t2k^  ,   interval 1≤t≤2 The curve is given by:…

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A: 11. True: The derivative of the sinusoidal function y = cos(x) with respect to x is y' = -sin(x),…

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A: First, we need to define the function f(x). In this case, the function is given as f(x) = x^3.

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Q: dy - Consider the following DE: (y - 2)(y − 1). dt a. For what value(s) of y will y(t) be constant?…

A: The given differential equation is dy/dt = (y - 2)(y - 1).