Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x < 2 f(x) = - 3x? + 30x – 75 + k if x > 2

Q: The function f(x) = x* - 18z is increasing on the intervals

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

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Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: Find the value for k so that the function will be continuous at x = – 1. 9x2 – 18x – 27 +9 if x - 1

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Q: Find the local and absolute extremum for the functions over their domain: x²+2x-3 4. f(x) : x-2 ||

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Q: Q1.Given: x? – 4 | when x 3 1.Find what values of ( a) and (b) that will make the function…

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

Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6,…

A: Hair we are given that the function is continuous at every point. we use the concept of limit for…

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

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Q: ] B1(a): Find the value of k that makes function continuous at x = 4 | 3x + 6 5х — k f(x) = x > 4 x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

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Q: For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k…

A: We have to find

Q: On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the…

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Q: Locate the discontinuities of the function. 2 f(x) = 1 + e7/x

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Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

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Q: - 3x + 1, x S 4 Find the value k , if the function ƒ (x) = is continuous at x = 4. -kx + 1, x > 4

A: We will find the value of k as following.

Q: Q2: Find the value of the constant K if the function 4-x is continuous at x-2 f(x) ={3-Vx² +5 ;x= 2…

A: we have to find the value of k Given,  f(x)=4-x3-x2+5          x≠2K                              x=2…

Q: f(x) = x2 -4x-2 at x = 1 %3D %3D

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Q: ) Find the values of the constant a so that the function f (x) will be continuous for all x. fax +…

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x&lt;54x+2c      for x≥5 we have to find the value of c…

Q: ,if x>2 Find the correct value of bb that makes

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Q: At what interval of x will the function continuous, f(x) = { 3x²-x-2 x-1 0, x= 1 ", x#1

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Q: 2.) For the functions f (x) = 3x + 5 and g(x) = 2x – 8 find (E) (x) and give its domain in interval…

A: Consider the functions  f(x)=3x+5g(x)=2x−8

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

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Q: B1(a): Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 6x – k x < 4 f(x) =…

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Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: For what value of the constant c is the function ƒ continuous on (-∞, ∞)? cx² + 2x if x 2.

A: We know :- Limit definition at x=a  ⇒limx→a-f(x) =limx→a+f(x)  if function continous at x=a then…

Q: Find the value of k so that the function 5x+3 if x<3 f(x) =. kx2 if x 23 is continuous everywhere?

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Q: Find the absolute extreme values of the function on the interval. 3) f(x) = In (-x), -5 s x s -1

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Q: Find the value for k so that the function will be continuous at x = -1. S 9x - 18 l-x² - 4x – 4 + k…

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Q: Find a value of the constant k, if possible, at which S ka² 1 - 2x + k r >-4 I <-4 f(x): is…

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Q: Q1.Given: x2 - 4 when x 3 1.Find what values of ( a) and (b) that will make the function continuous…

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Q: What is the value for k if f(x) =x² + kr + 13 is an even function?

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Q: find f'(x) for f(x) = 2xtan-1 x - ln(1+x2)

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Q: Q1: Find the value of the constant K if the function 4-x ;x#2 f (x) ={3-Vx² +5 is continuous at x=2.…

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Q: X+1 5) Is the function given by f(x) x2 - 8x + 15 continuous at x = 3? Why or why not?

A: f(x)=x+1x2-8x+15

Q: if x 2 1. Determine the constant k such that the function f(x) = is continuous at x = 2.

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: find the value of the constant (a, b, or c) that makes the function continuous

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Q: For what value of c is the function below continuous at x=-3? f(x) = { c  when x=-3 1 when x = 1…

A: The function                     f(x)=c                       when x=-31                       when…

Q: Determine if the function is continuous or discontinuous at x = 2. x2 - 1, if x 22 h(x) = 2x-1, if…

A: We have to find

Q: Find the value k that makes the function continuous. Ska², f (æ) = x > 2 kx + 12, x < 2

A: Topic - continuity Function is continuous If its left hand linit is equal to right hand limit and…

Q: if x 2 1. Determine the constant k such that the function f(x) = {1 is continuous at a = 2.

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Q: Find the value for k so that the function will be continuous at x = 2. 4x2 – 12x + 8 6 if x 2

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Q: Find the value of constant K that makes the function below continuous at x = 4. x2 - 4x X< 4 f(x) =…

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Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…

Q: 3. Given the function g(x) = x - 2x2 + x, find the interval(s) when g is concave up and decreasing…

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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.