(x² + 2x for 1 3 for r=1 f(x)= x³ + x²+x for 1

Q: Define g(-5) in a way that extends g(x) = x² - 25 x + 7x + 10 to be continuous at x = -5.

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Q: Which of the following functions are continuous on the interval 1 < x < 7? A. h(x) B. f(x) = 2² +²36…

A: In this question, we will check the given function is continuous.

Q: Consider the following piecewise-defined function: f(x) = { 4-ax² if x ≤1 b 2x if x > 1 Find the…

A: Ans :Now we need to sketch the graph in the interval [-3,3]Firstly let's find some points on the…

Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: Find the values of a and b that make f continuous everywhere. b = f(x): x-2 ax² - 6x + 3 4x -a + b…

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Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: Give an example of an everywhere-continuous function h(r) that is differentiable at every real…

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Q: a. Use the definition mtan = lim x→a a. mtan = b. Determine an equation of the tangent line at P. c.…

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Q: Can i get help step by step with this problem?

A: Consider the given IVP and make it in variable separable form.