For what value of the constant c is the function f continuous on the interval (-0,00). f(x)={ cx+1 , x<-2 сх2-1, х2-2 c=?

Q: We note that F is continuous for all x, and its derivative is (x-1) if x>0 F'(x)= -1 if xr<0 The…

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Q: The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells…

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Q: What is the critical point of the function f (x) = cos x? 2. What is the maximum point of the…

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Q: 7. A function f (x) is continuous on the closed interval [2,5] withf (2) = 17 and f(5) = 17. Which…

A: Rolle's theorem

Q: ´28 – e14z x 0 Determine whether the function f(x) = 14x – 1

A: Solution: Consider the given function is  f(x) = x8-e14x    x&lt;014x-1       x≥0 To check whether…

Q: f f(x) = ln(x2+10x+16) ov

A: The absolute minimum of f(x) is 6ln(2) and the absolute maximum of f(x) is 4ln(2)

Q: The function f(æ) has a continuous second derivative, and it satisfies f(8) = 0, f'(8) = 0 and f"(8)…

A: Answer is- Option C is correct

Q: Consider a function f with domain {x|x 0} and the following derivatives: f'(x) = x2 4x - a and f"…

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Q: For the function f(x) = cos2 x on [0,pi]  a) find the critical points on the given interval b)…

A: Given:

Q: A-Find the local minimum and maximum of f(x)=xe^3x using the first and second derivative test.…

A: for question A see 2nd ,3rd and 4th step. for question B see 5th step.

Q: The function fis continuous for all real numbers, and the average rate of change of fon the closed…

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Q: Find the values of α and β such that the function f(x) = ( α cos x + 2 if x < 0 βe3x + αx2 if x ≥ 0…

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Q: The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the…

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Q: If f(x) is a continuous function on [3,7] and F(x) is an anti-derivative of f(x) such that F(3)=7…

A: Given :f(x) is continuous function 3,7Fx is anti-derivative of fxF3=7 and F7=3To determine…

Q: The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells…

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Q: The function f has a continuous second derivative, and it satisfes f(2) = 5, f'(2) = 0 and f"(2) =…

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Q: 3. Find a value of b so that the function x 1 f(x) = is continuous on (-0, 0).

A: A function is said to be continuous if Left Hand limit = Right Hand limit = f(a) In this question,…

Q: 2. Suppose that f(x) is a function continuous for every value of x whose first derivative is f'(x) =…

A: Given: f(x) is a function continuous for every value of x whose first derivative is f'x=21-x1+x2 and…

Q: Consider a function f with domain {x|x # 0} and the following derivatives: f'(x) = bx-1 and f"(x) =…

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Q: Let f(x) be a differentiable function for -3<x<1. Over this interval f(x) has exactly one critical…

A: for maxima or minima, we need to check second derivative of the function.

Q: If f(x)= (x^4) + 3x + 1 and there are two roots x=a and x=b in the interval [-3,-1] with a &lt;b.…

A: The given function is,

Q: Find the linearization of f(x)=ln(x2-3) at suitably chosen integer near X=2.1. Then use the…

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Q: 4). If f(1) = 12 and f' is continuous and | f'(x) dx=17, what is the value of f(4)?

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Q: 1) Find the value of Z that make the function continuous at x=4? V-2 x + 4 X-4 f(x) = {z3 x = 4

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Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…

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Q: The Second Derivative Test cannot be used to conclude that x = 1 is the location of a relative…

A: Topic:- application of derivatives

Q: 3. The function f(x) = x^4 − 4x^3 + 8x has a critical point at x = 1.(a)  Find f"(x).   (b) Then use…

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Q: 1. Use the properties of continuous functions to explain why f(x) =x cos(x) +1 is a continuous…

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Q: Consider a function f with domain {x|x + 0} and the following derivatives: 2 bx3 bx² – 1 bx? f' (x)…

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Q: -1.5 0 1.5 For what value of constant c is the function k(x) continuous at x = 0 if k(x)= No such…

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Q: Show that the function is differentiable at x=0 and find f'(0). f(x) = x2sin(1/x), if x is not…

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Q: A continuous function y = ƒ(x) is known to be negative at x = 0 and positive at x = 1. Why does the…

A: Given that f(0)&lt;0 and f(1)&gt;0  f(x) is a continuous function.

Q: 4). If f(1) = 12 and f' is continuous and f'(x) dx=17, what is the value of f(4)?

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Q: 20. The function f is continuous at x = 1. Vx + 3 -. - V3x + 1 for x 1 x - 1 If f(x) = k for x = 1…

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Q: Find the critical points and the intervals on which the function f(x) = (x³ - x) e* + 4 is…

A: To find out critical values, take derivative, apply product rule

Q: Question number 44 please

A: Given the function is:

Q: The function f(x) has a continuous second derivative, and it satisfies f(8) = -4, f'(8) = 0 and…

A: The function f(x) has a continuous second derivative, and it satisfies f(8)=-4,f'(8)=0 and f''(8)=1.…

Q: Consider the function f(x) = -6x² + 8x – 5.f(x) is increasing on the interval (-00, A] and…

A: Find the first derivative of the given function and equate it to zero to find the critical numbers…

Q: For what value of the constant a is the function continuous on (-0, 0). for r 1 f(x) ax a =

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Q: 6- if f(x) is a continuous function at x = 0, then a = 1- cos 4x x0 V16+ Vx -4 3.

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Q: The function ff has a continuous second derivative, and it satisfies f(1)=2f(1)=2, f′(1)=0f′(1)=0…

A: Given: f(1)=1, f'(1)=0, f'(1) = 2 A critical point of a function occurs when the first derivative…

Q: Suppose a function y = f(x) is defined for all values x -1. The derivative of (z²+1)e² ze² f(x) is…

A: Given is a function y=f(x) which is defined for all value except -1.   Also, given f'x=x exx+12,…

Q: Find the critical points and the intervals on which the function f(x) = (x³ – 4x) e* + 15 is…

A: given f(x)=x3-3247xex +15 we have to find the critical points and the intervals on which the given…

Q: For the function f(x)=sin(x)/x defined on [-1,1], there is some -1<c<1 such that f′(c)=0.f′(c)=0.…

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Q: Find the values of α and β such that the function f(x) =αcosx + 2 if x < 0  and f(x) = βe3x + αx2…

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Q: x3 B- If f(x) = ;, Find A? is continuous at x = %3D (Ax² x 2 1/N IN V

A: Given: f(x)=x3x&lt;12Ax2x≥12 Since f(x) is continuous at x=12. limx→12-f(x)=limx→12+f(x)

Q: The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: 1. Suppose that g(x) > 0 for all r, g(x) has a continuous derivative, g(-2) = 5 8 g(4) = 3 and |…

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Q: f(x)={x2−3x     x≤5          2x            x>5 (a) Is f continuous at x=5  ? yes, or no (b) Is f…

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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.