f(x) = Va +9 – 10.

Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: b) Is f x(x² + 1)dx = x² (;+x) + C true or false? show me

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Q: Evaluate f''(c) at the point. f(x) = (x2 - 4)(x3- 2), c = 1

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Q: The function f(x) = Vx – 2 + V4 – x is.

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Q: The function f(x) = 2x? – 332? + 144x – 10 has two critical numbers. The smaller one is æ = and the…

A: Please refer the attached image for complete solution.

Q: 1. What is the domain of the function f(x) = V 36 – x' ?

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Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: The function f(x) = x³ – 3x² + 5 is concave upward on the interval

A: The function is fx=x3-3x2+5

Q: Examine the function f(x, y) = −3x² - 4y² + 15x - 8y + 5 for relative extrema.

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Q: Find the interval/s where the function is increasing and where it is decreasing: f (x) = x³ – 3x + 3…

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Q: A function f(x) = v1 – x² is

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Q: Compute f(c+ h) – f(c) at the indicated point. f(x) = 5x2; c= 8

A: The given function is f(x) = 5x2 we want to find the expression for f(c+h)—f(c) at c=8

Q: Explain why

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Q: Find a formula for the linear function f(x) with slope 2 and vertical intercept 1. f(x) =

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Q: Find f'(0) for f(x) x = 0. 0,

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Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: 3.) Give the coordinates of any points of inflection. f(x) = x³ + x² – x +1

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Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: Find the points of inflection of the function f(x)=e−x2.

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Q: Find R2,2(x) for f(x)

A: Given, fx=ln1+xx. We have to find R2,2x for fx. Here, R2,2x is called as Pade approximation. Pade…

Q: What is the relative maximum value of the function f (x) = 2/x – x?

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

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

A: Given :f(x,y)=-x2-5y2+10x-30y-62

Q: Find the local extrema of the function f(x) =r³ – 3r² – 9x.

A: Given that: f(x)=x3-3x2-9x

Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

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Q: For function f (x, y) = y2 x2 +1

A: Please refer the attached image for complete solution.

Q: Find the relative extrema for f(x) = x* + 32a²

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Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: What is f(x) = f 3₁√√xdx? O F(x) = O سانده است 2 + C 3 F(x)= 2x 2 3 F(x) = 2x² + C ○ F(x) = 2x² + C

A: The given integral fx=∫3xdx

Q: what is (f o g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

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Q: f (x) = 3.x5 5x3.

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Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: What is f' (x) when f(x) = 5e%z?

A: The given function fx=5e4x Differentiate with respect to x using the chain rule f'(x)=5de4xd4x×d4xdx…

Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

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Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: f (x) = x 2 satisfies the Horizontal Line Test on the domain {x : x &gt; O}.

A: Horizontal line test is a test used to find the function is injective that is one-to-one. First…

Q: find the critical point and classify the function f(x,y) =xlny +x2 -4x-5y+8

A: Answer

Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: What is the value of In[f'(2)]if f (x) = e*?

A: Our Aim is to tell the value of ln f'(2) if f(x)=ex-(i)

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: Let f : Z4 → N be the floor function f(x) = [(x – 1)/2].

A: Given f:ℤ+→ℕ be the floor function defined by  fx=x-12 For x=1,  fx=02=0&lt;1 For x=2 fx=12=0&lt;2

Q: What is f'(x) of the function f(x) = 4xy^3 if you consider y as a constant?

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Q: 23) The domain of f(x) = Vx + 3 is

A: Consider the function

Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

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Q: f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10||   From function,   The derivative of function f(x) for x≥10…

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

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Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: What is the domain of the function f(x) = %3D 5" Vn n-1

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Q: Let f(x) = 2+ V4x – 7. Find f(x). (z) =

A: We havefx=2+4x−7