Determine the value of the constant a for which the function f(x) is continuous at - 3. x2 +8x + 15 if x# - 3 f(x) 3= X+3 a if x = -3 The function f(x) is continuous at -3 when a = (Type an integer or a fraction.)

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

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Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

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Q: Find the intervals on which the function is continuous, f (x) r+4 22 -12r+32 Find the intervals on…

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Q: For what value of the constant c is the function f continuous on (-∞, ∞)? ( cx2 + 2x x3 - cx if x <…

A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: 1. What are the x-intercepts for the function f(x) = x2 + 2x – 15? А. (0, -5), (0, 3) В. (0, 5), (0,…

A: Given, f(x) = x2 + 2x -15

Q: f(x)={0: x is less than or equal to -1, ax-b: -1 is less than x is less than 1, 3: x is greater than…

A: we have to find value of a and b so function to be continous

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: ) 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 constant K that makes the function below continuous at x = 2. You MUST write your…

A: Given: fx=x2-2xx-2 , x&lt;2kx-3  ,x≥2

Q: 4x+7 18x<2 If f(x)= ,determine whether the function f(x) is continuous 4x² –1 2<x<4 throughout its…

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Q: The absolute max for the function f(x)=x² – 2x +1 on the interval [-2, 3] occurs at : Select one: O…

A: As per company guidelines we are supposed to answer only one question at a time. for other question…

Q: If f(x) is a differentiable function such that f'(-2)=-1 and g(x)=f(3x+1), then what is g'(-1)?

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Q: F(x)= X^3-18X^2+81X Maximas occur at x=

A: Assume x=c is the critical point of f(x). If f'(x)&gt;0 to the left of x=c and f'(x)&lt;0 to the…

Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

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: 3. Determine the values of a and b if the given function f(x) is continuous. (2x + 6 ,x 2 Solution:

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Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

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Q: 3) Find the intervals where the function is increasing and where it is decreasing. f(x) = x² - 6x²…

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Q: (A) Find the absolute maxima and minima for ,3 Y = x + 5 over [-V2, v2). (B) Use the second…

A: y = x33-x+5y' = 3x23-1y' = x2 -1x2-1 = 0x2 = 1x = ±1

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: f(x)-f(-1) X-1 Where f (x) = 2x-6

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Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: . If x is large, which function grows faster, f1x2  2xorg1x2  x2?

A: To determine for the large values of x, which of the functions f(x)=2x and  g(x)=x2 grows faster.

Q: (2x² + 5, if x 5 Consider the function h(x) = Find the value of B such that h(x) is continuous at x…

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Q: Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4

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Q: x² – 4 when x < 2 X - 2 ax? – bx + 3 2х — а + b f(x) = when 2<x < 3 x2 3 when | 1.Find what values…

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Q: Describe the end behavior for this fucntion F(x)=x^4-2x^2+3

A: The given function f(x)=x4-2x2+3

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: 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: 1 For what value of x does the function f(x) = -x 4x attain the absolute maximum in the interval…

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Q: 3x2 -6 =3-x? + ax – 6 if x < 2 or what value of a is f(x) = a continuous function? if x 22

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Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: Determine the values of a and b that will make the function given below both continuous and…

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Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: (b) Find values of x, if any at which f is not continuous (2x +3 xs 4 7+ x>4 f(x) = 16

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Q: At x = 3, the function given by f(x)={x2 , x<3 and 6x−9, x≧3 is? a) undefined b) continuous but…

A: Given function: fx=x2x&lt;36x-9x≥3 Clearly the function is defined on all real numbers. We have to…

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…

Q: x² – 4, x > 2 Ax+ B,x <2 Determine the values of A and B for which the function f(x)=- will be a)…

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Q: 2 a) For the function f(x) = find f' X- 3'

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Q: Describe the behavior of f (x) = x' – 3x + 6 for all values of x. | O f(x) is increasing when x 2…

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Q: (Bx2 – 3 Bx +2 if Suppose that f(x) = x< 2 if Find the value of ß so that f(x) is continuous…

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Q: find the value of f(-1) and f(3) y={3x+1      if x<3} {x^2      if x≥3}

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Q: the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2…

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Q: 1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

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Q: Find the local and absolute extreme values of the function on the given interval. f(x) = x - 6x² +9x…

A: The given function is: f(x)=x3-6x2+9x+2, [2,4] Now, let…

Q: 3. Find the value of the constant k that makes the function continuous f(x) = {x² – 6, x + 4k, x 6

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Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function

Q: 5) Find all points of inflection in the function g(x) = (x – 7) 13 on the interval [0, 10].

A: The points of inflection are those points at which the second order derivative of the function is…

Q: (x² – 3x + 1, x 4

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