For Exercise, find two functions fand g such that h(x) = (f • g)(x). h(x) = V2x + 1

Q: Find c such that the function x2 – 9 x с is continuous everywhere. - С —

A: f(x) will be continuous at x=c. when value of the function at c , left hand limit of f(x) at c  and…

Q: Find the function f (x), given that f'(x) = vx + x² and f(0) = 2.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find c such that the function f(エ) 8x- 20 I > C is continuous everywhere.

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

Q: Use the chain rule to show that for any differentiable function f(x), [e/(e) = f(x)e/(=),

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Q: Show that, for any constant k, f(x)' dxL k f'(x) k

A: To show: For any constant k, ddxf(x)k = f'(x)k

Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: Find Fxxygy for the function Fory)-J*J€nx-x]

A: We havr to find the derivative.

Q: for function f(x) = e=z²/(20²) sketch f(x)!

A: Topic :- Calculus

Q: Find the linearization L(x)  of the function f(x) = x^4 -2x^2+3  at  x =0.

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Q: Find the linearization L(x) of the function at f(x) = x4 + 2x2, a = 1 L(x) =

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Q: Consider the function f(x) = 8x8 + 4x° – 4x3 – 2. 4x° – 2. - Enter the general antiderivative of…

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Q: Consider f(x) = 3|x|, which is in R[-2, 2]. %3D b. Use the function F(x) to find ſ², f.

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Q: The domain of the function f(x)= tanh( - 23) is (A, 264)

A: Given,          The domain of the function fx=tanh-1xk-23 is A,264.

Q: h(x) = { 3-2 -2 if x≤-1 Cx² + 4x if x>-1

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Q: Find the antiderivative F of the function f(x)= x^2 + 2x + 2 such that F(-1) = -1.  F(x) =

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Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

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Q: Find the constant a such that the function is continuous on the entire real line. (5x2, ах — 3, x 2…

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Q: Vhich of the following is NOT TRUE about the function f(x, y) = e² + e"?

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Q: For the function f, given below, find the antiderivative F that satisfies F(1) =0. f(x) =x - 3x-2 -…

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Q: Is the function continuous  f(x) = e^x / 1 - e^x

A: We need to check the continuity of the function

Q: Given the function, f(x) = √x + x, use linearization at x = 4, to approximate f(4.1)

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Q: Consider a function f(x) = |x – 3|. a. Show that f (x) is not differentiable at 3. -

A: Given         f(x) =|x-3|

Q: For the function f(x)=e5x+e−x defined on the interval(−∞,1], find all intervals where the function…

A: Find all the intervals for where the function is increasing and decreasing

Q: 1. Why is f not a function from R to R if a) f(x) = 1/x? b) f(x) = VT? c) f(x) = ±/(x² + 1)?

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Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: X- e.

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Q: Find the function f(x) such that f' (x) = x²e# with f(0) = 0. O (x² - 2x - 2)e* + 2 O (x2 + x + 2)e*…

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Q: Determine the domain of the function f(x) = In(ln r) + x

A: f(x) = ln(ln x) + x f(x) is not defined if ln x &lt;= 0 [as then ln(ln x) is not defined] ln x &lt;=…

Q: The function f(x)=/25-x' is contionous on

A: It is continuous function.

Q: Let h(x)=f(x)/g(x), where f(x)=ln(4x^2−3x) and g(x)=3x−1. What is h′(x)?

A: Therefore,

Q: 24, Find the domain of H function fw =J 2x+3 -1

A: Given,

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 3-…

A: given:piecewise linear functionfx=3-x ; if x≤214-2x; if x&gt;2To find…

Q: Determine Rn(x) for f(x) = 1ln(x) about x = e

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Q: Let f(x) = ax* + bx . If (1,6) is a relative extremum point, then b is?

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Q: Consider the function f(x) = 2x° + 3x2 223 12x – 18. - a. Find the first derivativo f'(m)

A: Given that: f(x)=2x3+3x2-12x-18         NOTE: As per our answering guidelines, we can only answer 1…

Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: Find the linearization L(x)of the function at a .

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Consider the function f(x) = 4x° + 10x" – 2x³ – 9. Enter an antiderivative of f(x). Do not enter +c…

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Q: Describe the domain and range of the function. f(x, y) = In(xy-1) Dor

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Q: Is the function f(z) = (x2 - y2) + 2xyi entire? Why or why not?

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Q: Find  f' in terms of g' .

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Q: Find the constant a, such that the function is continuous on the entire real line. ( 2x², f(x) = if…

A: Given the function is f(x) = 2x2,if  x≥1ax-1,if  x&lt;1

Q: The function f(x) = k is continuous.

A: Given f(x) = k

Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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Q: Use the e-d definition to prove that f(x) = x³ + 3 is continuous at xo = 3.

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Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

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