lim ←x sin²x x- x - 13 ㅠ 311

Q: Describe the interval(s) on which the function is continuous. f(x) = sec 7EX 8 ..., (-16, -8), (-8,…

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Q: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: Let f(x) = { *, if x= 2 ; for the eax if x + 2 function to be continuous at x = 2 the value of a is

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Q: What is an example of a function f : [-2, 2]-->R which is not differentiable at -1 but which is…

A: To find an example of a function                                   f : [-2, 2]→R which is not…

Q: Suppose that f(x) is a continuous function with f(-3) = – 4 and f(1) = 4. Determine which choice…

A: Consider a function f(x) defined on an interval a,b. Suppose that f is continuous and f(a)≠f(b).…

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

Q: Calculate the first first derivative justifies whether this is differentiable or not. Calculate the…

A: ∴ f(x) = 2x2ex is differentiable

Q: Let f(x) be a function. (a) (3 points) Define what it means for f(x) to be continuous at x = a. Use…

A: (a) A function fx is continuous at x=a if and only if limx→a-fx=limx→a+fx=fa exists. Hence, a…

Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

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Q: Using the limit definition, find the derivative of f(x) = tan(ax + b).

A: Consider f(x) = tan (ax + b)

Q: x² 3. Types of Discontinuities: Determine all point/s that make/s the function f(x) = x²+x…

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Q: Please

A: For concave downward, f''(x) < 0 f(x) = (1-1/x)2 = 1 - 2/x + 1/x2 f'(x) =2/x2 - 2/x3 f''(x) =…

Q: let f(x) = 2x²-36x² + 20. Find the intervals where f is increasing. a) (-3,0)√(3, ~) b) (-3,0)0(0,3)…

A: Let To find the intervals where  is increasing.

Q: Sketch a graph of a function ƒ with the following propertie. ƒ' < 0 and ƒ" < 0, for x <…

A: Given that, ƒ' < 0 and ƒ" < 0, for x < -1ƒ' < 0 and ƒ" > 0, for -1 < x < 2ƒ'…

Q: Let f(x) = x-*,x > 0. Find the interval on which f is increasing or decreasing and find the local…

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Q: Determine the continuity of f such that f(x)=x^2.

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