-4 if x<-5 For what value(s) of x is the function f(x) ={x+1 (x² - 5 if - 5 3 NOT continuous? А. x= 3 B. x<-5 C. x> 3 D. none

Q: 1) Evaluate the absolute extrema of the following functions on the given interval. S(x)=(x² +3x)³…

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Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax – b -1 < x< 1, x 21 Continuous at x-0

A: from given function , the value of function in between 1 and -1 is ax-b. As x approaches to 0 the…

Q: + [ƒ(2)₁ Suppose that fand gare continuous functions such that 1 [ g(x)dz -3, find f(x)dx= 2 and +…

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Q: For what values of a and b will f(x) be continuous on everywhere at x = 2 if the function is x² – 4…

A: f(x)=x2-4x-2x&lt;2ax2-bx+32≤x&lt;32x-a+bx≥3

Q: - Is the function given by G(x) = Why or why not? continuous at x = 0?

A: We know that function is continuous only if its left hand and right hand limit equal, That is ,…

Q: 3. For which function is the average rate of change over the interval 1 < x < 5 greater than the…

A: To find- For which function is the average rate of change over the interval 1 &lt; x &lt; 5 greater…

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for r 2

A: Please see the the answer below.

Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: If f(x) is an even, continuous function for which = 4 and dx = 4, then f (x) dx 3 2

A:

Q: Show analytically (that is, without reference to a graph) that h(x) = v1 + x is always increasing,…

A:

Q: 54. Is the function given by SEx + 4, for x s 3, 2x – 1, for x > 3, g(x) continuous at x = 3? Why or…

A: The given function is;  g(x)=13x+4for x≤32x-1, x&gt;3 we have to check the given function is…

Q: (x+14 if x S2 5. Let f(x) = x? if x>2 Find the value of k that will make f continuous on (- o, 0).

A:

Q: (a): Find the value of k that makes function continuous at x = 4 f (x) = 7x S2x + 7 x > 4 k x < 4…

A: We will use the definition of continuity at a point to find the value of k

Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

A: Let at any time 't', the distance of car A from the intersection is x, and the distance of car B…

Q: 4 Suppose that f(1) = 9, f(4) = -7, f'(1) = 6, f'(4) = -1, and f" is continuous. Find the value of…

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Q: 3. Which of the following functions grow faster than x as x –→∞? Which grow at the same rate as x2?…

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Q: Find the absolute extrema of h(x)=3x÷2 on {-2,3}.

A: H(x) is the straight line so absolute extrema will be at ends on domain

Q: Which of the following is a valid formula for the instantaneous rate of change of the function f(x)…

A: Using definition of derivative we can write f ' (x) as:

Q: At what value(s) of x is the function below discontinuous? x+4, if x1 O x=1, only O x=-1, only At…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Given,          fx=1x+lnx ; 0.4≤x≤9

Q: Sx+2, if x 1 Value of k that will make f(x) continuous on (-0, 00) is ....

A: K=3 makes f(x) continuous.

Q: 3. For what value of a, f(x) is continuous at every x? Sx2 – 1 2ax x 3 f(x) =

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Q: if x3. then h(x)is continuous at if x = 3 (b) (0,4) x-3 - Let h(x) =32x + 1 (a) 3 (c) (-0, 3) (d)…

A: As we know that a function is said to be continuous at a point x=a when…

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: 55. Is the function given by S + 4, for x s 3, 2x - 5, for x > 3, F(x) continuous at x = 3? Why or…

A: Function is given by F(x)=13x+4 for x≤32x-5 for x&gt;3 now show that it is continuous at x=3 or not.…

Q: 4ex +x-k if x 0 be continuous everywhere?

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Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: cx2 + 2x if x < 5 Let f(x) x3 - cx if x 2 5. For what value of the constant c is the function f…

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Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: 4) Find the value of the constant k so that the function (1 – k, if z<3, f(z) = 1– kr, if 123, is…

A: This question is related to limit and continuity of a function, we will use condition for a function…

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

A:

Q: if x > 2 Given f(x) = {ax² + 10 (x² – 6x + B if x < 2 ’ (a) Find an equation relating a and ß if…

A: Given query is to find relationship between alpha and beta.

Q: Q3) If the function (2x + 1 +2 x > h) XSh f(x) having limit at x = h. Find the value of h. Q4) f(x,…

A: Our objective is to solve the above questions.

Q: 4 For what value(s) of x is the function f(x) х? — х — 12 NOT continuous? A. x = 3 and x = -4 В.…

A: Given function is  f(x)=4x2-x-12

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b -1<x<1, 3 x21 Continuous at x=0

A: F is continuous at any point then left hand limit is equal to right hand limit. if limit is not…

Q: Determine if the following functions grow faster, slower, or at the same rate as the function 4x as…

A: Given a function f(x)= 4x^2  Part a) To find the function grow faster slower or at the same rate as…

Q: S x2 – 3 |kV5+x _if x > –1 if x < -1 - 2. Determine the constant k such that the function f(x) : is…

A: As per our guidelines, I can answer one question and maximum three subparts of a question. Since you…

Q: 9 3 Iff is continuous and f(x) dx 8, find f(x2)dx

A: Given as

Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 – 3x on…

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Q: (a) At 12 noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/ hour and ship B is…

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Q: For what value of the constant c is the function ff continuous on the interval (−∞,∞).

A: c=5 Answer and explanation is given below

Q: 13) Identify the function for the graph at right. a) S(x) =x² -1 b) S(x) = 4(x+2)² –1 c) (x) =…

A: Given, The graph of the function We have to identify the function.

Q: 4. `s.] Find the number a and b at which f is continuous everywhere? x² -1 if x 2

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Q: Гa+ 4x ifx 1 Let f(x) (a) The value of a that will make f(x) continuous for all real numbers is a =…

A: Check the differentiability of a function when it is continuous at x= 1 .

Q: x², if xs1 4. Let f(x) = . Find f. (1) andf'(1). Does f'(1) exists? 2x, if x>1 Show that the…

A: 4. fx=x2,if x≤12x,if x&gt;15. y=f(x)=x2-3x

Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x 2…

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Q: 22 + a For what value or values of k is f(x) = ka + 3k - 5 continuous at a = 5?

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined point, take…

Q: .3 Suppose that f is a continuous function and that f(x) dx = 6. Find f(3x)dx.

A:

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.