1. If y = f(x) is a continuous function for all 0

Q: 3. Use the following functions of r ER' to answer the rest of this question: 1 f(x) = i g(x) =; h(x)…

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Q: 9. Find the value of a so that the function g(x) is continuous at x = 0 where g(x) = { = 1 2xe3x 1…

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Q: differentiable and

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Q: 4. Find the f(x) = = value of the constant b for which f is continuous at x = -1 and determine…

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Q: 4. Find the value of the constant b for which f is continuous at a = - -1 and determine f(-1). 5 x <…

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Q: -3 if x1 NOT continuous? x = -2 only B. x= -2 and x = 1 А. С. x = 1 only D. x 1 Select one: OC O A…

A: Remark: we know that a polynomial function is everywhere continuous and Every rational function is…

Q: 5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x -4 ontinuous for all values of x. What…

A: solution:-f(x)=4x3+17x2+13x+36x+4     x&lt;-45x2+2x+a                       x≥-4f(x) is continuous…

Q: 10. Consider the following function. 1 x } x > Find the values of a and b that make f(x)…

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Q: 11. For what values of "a" and b is the function is continuous at.x31 f(x) = ( 3ax +b: x>1 %3D 11:…

A: A function f(x) will be continuous at a point a if:   limx→a-f(x) = f(a) = limx→a+f(x)

Q: Consider the following function: - 4 if x 3 Find the values of a and b that make f continuous…

A: The function is continuous every where, if it is continuous at each point in the domain. The…

Q: Use a separate sheet of paper to show your work. What value(s) of c, if any, will satisfy the IVT…

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Q: 24. Find the constants a and b such that the function below is continuous at x = 0 and x = 1 1 - x²,…

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Q: 1. Determine where each of the following functions are continuous. x2 - 3x - 10 a. f(x) = %3D x2 -…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: True or False. The following function h(x) is continuous everywhere              h(x) =(x2-4/x+2…

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Q: 14. Consider the following function: if - 10 SIS0 3. h(r) = {15x - 3| if 0<<4 2r +1 if r24 What is…

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Q: _13. Determine if the given function is continuous at the indicated number x = c. -3x-10 x+2 if x*-2…

A: we have to find out

Q: 22 + 6 for æ 2 Let f be the function defined above, where b is a constant. For what values of b, if…

A: A function f is said to be continuous at a point only if the function is exist at that point and the…

Q: Given f(x) is a continuous function. If f(- 9) = 6 and f'(x) ≥ 8 for -9 ≤x≤ smallest f(-3) can…

A: The objective is to find the smallest value of f(-3) which can be possible.

Q: 3. Determine the values of a and b if the given function f(x) is continuous. 1 ,x 2

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Q: 4. Use implicit differentiation to find dy/dx. (a) ye" = x" + 1 In x (b) ymz = x"

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Q: 16. Find the value of the constant k so that the function f(x) = { kx-5 if 0 < x < 2; is continuous.

A: We are given a piecewise function and we need to find out the value of the constant k such that the…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.