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## Related Calculus Q&A

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Q: = 2x? – 20x – 7 on the interval [3, 7), how many values of If we apply Rolle's Theorem to the…

A: On solving this we will get

Q: 2x2 – 20x – 7 on the interval (3, 7), how many values of If we apply Rolle's Theorem to the function…

A: We have to apply rolles theorem

Q: 1) Find the value of C that make the function continuous at x=1? f(x) = { -x l6 - 2x? %3D x>1 2)…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x - 16- 3 on the interval (2, 6, how many values…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x2- 8x- 2 on the interval [0, 4], how many…

A: As there are two questions, first one is solved here.

Q: Ix-31 if x + 3 if x = 3 If f (x) = x-3 is the function continuos at x = 3 ? %3D -1

A: f(x)={x-3x-3if x≠3-1if x=3

Q: |x? +3x +1 ax + In x+b ,x21. „r<1; Let f(x) = If function f(x) is differentiable at point x=1, then…

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Q: The domain of the function f(x)= tanh( ÷- 3) is (A, 44), Then k The value of k= %3D

A: Given the given function is fx=tanh-1xk-3 Domain of the function is A,44.

Q: 2x-3 x S2 (8x-11, x>2 DISCUSS THE DIFFERENTIABILITY OF THE GIVEN FUNCTION AT x = 2 3. GIVEN: /(x) =…

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Q: The question is in the picture below.

A: As given the f(x) is continuous on R so it will continuous at x=2 and x=1 , then limit will exists…

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Q: 1. Find the absolute extrema, if any, of the following functions on the given interval. (a) f(x) =…

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Q: A function, f (x), has derivatives: f'(x) = x² (x + 3) f"(x) = 3x(x + 2) Which of the following…

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Q: 5. Given that F(x) = | f(t)dt, where f is defined on the interval [-4,4] as shown on the graph. On…

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Q: 16. Find the interval of x-values on which the curve is concave up and concave down , then sketch…

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Q: Assume that the first derivative of a function y = f(x) is given by (x² + 1) (x² – 4)² ' Thus, which…

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Q: find the value of a and b so the the function has a local extreme value of 1 at x=3 f(x)=ax+b/x^2-1

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Q: org 709. Find the values of a and b so that the function f(r) r t ar' + br will have a relative…

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Q: Let f be a function with first derivative given by f' (x) = r(x –5)? (x + 1). At what values of z…

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Q: (2x + 1)(x – 2) S(x) =- k for x # 2 x- 2 for x = 2 Let f be the function defined above. For what…

A: Topic - continuity of a function

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Q: 1.Find the interval(s) over which the function f(x)= 3x* +16x+24x? -16 is concave up and concave…

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Q: Consider the function f(x) = 4x + ? . ll critical numbers c of f. c = oncave up for x E concave down…

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Q: Consider the function below defined on the indicted interval. x? – 1 f(x) : -1, 1] Follow the steps…

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Q: le-1/? if x #0, 12. Let f(x) = if x =0. %3D (a) Use the definition of the d. to show that f'(0) =0

A: 12

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Q: 2. Let f:Z→Z be the function given by fAn) =3n+1. a. Is fone-to-one? Briefly explain why. b. Is…

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Q: 9. The graph of the derivative, f', of a function f whose domain is [-3,3] is shown below. (a) On…

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Q: 41. The function f is differentiable and satisfies the properties that f(3) = 7 and f'(3) = 2. If…

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Q: { cx2 + 6x x3 - if x < 5 Let f(x): %3D - CX if x 2 5. For what value of the constant c is the…

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Q: Find the location and values for any global extrema of the function f(x) =1/3x^3 − 2x^2+ 5 on the…

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Q: Find the location and values for any global extrema of the function f(x) =1/3x^3 − 2x^2+ 5 on the…

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Q: (3) Consider the function h(r) What are the inflection points of h(1)? On what x - 5 intervals is…

A: According to the problem, we have

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Q: x = -4, x = 1, and X = 2, what can you say ab on [-4, 2]? 8. If a continuous, differentiable…

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Q: Consider the function f(x), whose first and second derivatives are given below: 26 8x27 208x(x-54) =…

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Q: a) For the function f(x) =1-3x? , find f'(a) at a =-1 by using the definition of derivative. (a+b b)…

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Q: 4. a. Find the values of x, if any, at which g(x) = sin x is continuous. 8-V-36 x²-4 if x 1 c. b.…

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Q: The graph of the derivative f'of a function f over the interval (0, 6) is shown. y y = f '(x) 4 6 8.…

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Q: Siven the graph of the function f(x)=sin2x+x^3-3. Choose [a,b] satiesfies b-al=1. * 1- -2 ) [1,2] )…

A: Answer : [0.5,1.5]

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Q: Consider the function f(x) 2x + 6x – 8. f(x) has a critical point at x = A. - Find the value of A: А…

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Q: Questlon On the graph of f(x) = sec x and the interval -2T,0), for what value of x does f(x) = 1?…

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Q: Consider the function g(x) whose derivative is given by g'(x)=-(2x-3)sin(x²-3x).At which of the…

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Q: Question number 44 please

A: Given the function is:

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Q: Find, if any, the absolute maxima and minima of the function given on the interval [5, 0). Enter the…

A: Given function f(x) =4x-1

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Q: 3. Find the values of a and b such that the following function is continuous at x = 4. Justify your…

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Q: 2. In the figure above, f', the derivative of function f, is shown. f is a twice differentiable…

A: We need to find properties of f from f' graph.

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Q: ( cx2 + 3x if x < 2 Let f(x) - CX if x 2 2. For what value of the constant c is the function f…

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Q: A5: Determine the value of the parameter a that will make the function {2x + 3, f(x) = {ax? – 1,…

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Q: V8.2 is the value of a function y = f(x). Identify the function. Then approximate this value by…

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Q: Answer the following questions for the function f(x) = x/x? + 4 defined on the interval – 5 < a < 4.…

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Q: Determine the value of the constant a for which the tunction f(X) Is 2 x +7x+ 12 if x# - 4 f(x) =…

A: We have been given the function f(x) which is continuous at x = -4 and we have to find the value of…

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Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A: Answer is mentioned below

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Q: (b) The functionf is defined by f(x) = V3 sin x + cos x Where x € R, -n 0, and 0 s a s (ii) Sketch…

A: Given that fx=3sinx+cosx. i) It is required to express fx=3sinx+cosx in the form Rsinx+a. Rewrite…