, find: a. the domain and range of f in interval notation For f(x) = /x+17 1. 2 Ans la D, : R, b. f'(x) Ans 1b f*(x) =_ c. the domain and range of f' in interval notation Ans 1c D;1 Ra =.

Q: Describe the interval(s) on which the function f(x) = is continuous.

A: The given function fx=xx2+x+2 is in gxhxform. The numerator gx=x is continuous for all x∈-∞,∞ in its…

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A:

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Q: a) At how many points is f(z) discontinuous? b) At how many pints is f(z) not differentiable?

A: This is a calculus problem and I solved it in the next step.

Q: If f is differentiable at a number, x, then f is continuous at x.

A:

Q: Describe the interval(s) on which the function is continuous.

A: Given: Describe the interval(s) on which the function is continuous. f(x)=sec πx4Clearly from the…

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Q: Use the limit definition to compute f '(a) and find an equation of the tangent line.

A:

Q: Based on your work in part a, on what interval(s) is f(x) continuous?

A:

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Consider two functions f(x),g(x) defined for all real numbers. Let the two functions be continuous…

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A: Given, fx=sin x

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A:

Q: find the X values if any at which f is not continuous fx=4x^2-cos(pix)

A: We have to find value x if any at which f is not continuous  f(x) = 4x2 - cos(πx)

Q: 71. Is the function given by g(x) = 4x - 6x continuous on R?

A: To check whether the function g(x) is continuous on ℝ. The given function is gx=4x3-6x Also, the…

Q: 6. Use an appropriate substitution to prove f(x)dr = | f(a+b- x)dx.

A: To use an appropriate substitute to prove  ∫abfxdx=∫abfa+b-xdx

Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is Lo (the Left-Hand…

A:

Q: Use the limit definition to compute f '(a) and find an equation of the tangent line. f (x) = x3 + x,…

A: Anwer: f'(0)=1

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A:

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A: Given:                fx=2x2+10x,     a=3 Find: f3+h and f3 f3+h=23+h2+103+h…

Q: 64. Is the function given by f(x) = continuous %3D =2- 6x + 8 at x = 3? Why or why not?

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Q: Could the limit as xà1 of f(x)=(x+sinx)/(1+x+cosx) be found simply by substituting 1 into the…

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A:

Q: 2. For which values of a is f(x) differentiable on R?

A:

Q: Is the following piecewise defined function f(x) continuous at x = = 0, [cos(x), x≤0 f(x) = x²+x+1,…

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Q: Where is f(a) not continuous?

A: Given:

Q: What is the largest interval containing zero on which f (x) = sin x is one-to-one?

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A: given that  f(x)=tanx2

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A: topic - derivative of a function using limits

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A:

Q: 87. If f is continuous and f(x) dx 10, find f(2.x) dx. %3D

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Q: Use the limit definition to compute f '(a) and find an equation of the tangent line.

A:

Q: Use the limit definition to compute f '(a) and find an equation of the tangent line.

A:

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A: