Determine if the following are continuous at the certain point. Show your | COMPLETE SOLUTION. f(2) = a. 214 b. f (x) = vx³ – 27, x = 3 %3D f (x) = x³ + 2x² – 5x + 10, x = 5 %3D C.

Q: Find the largest Ś smallest values of the given function over the prescribed closed, bounded…

A:

Q: Suppose that f( is a continuous function. If f(#) da=4, then what is the value of T - f(x)] dæ ?…

A: To evaluate the given definite integral.

Q: Determine the value of x of the continuous function: * (x – 1 x 3 f(x) = {3x – 3 Зх — (-4x + 3

A:

Q: 2. Given the function f(x) = ., determine if the function is continuOus or not. Identify the point/s…

A: Given function f(x)= (x2-1)/(x-1) is continuous or not , determine type of discontinue.

Q: Let f(x) = { *, if x= 2 ; for the eax if x + 2 function to be continuous at x = 2 the value of a is

A:

Q: f(x)=210, where is it continuous?

A: Given: fx=210 We know that graph of given function is horizontal line for every value of x

Q: Find a constant c such that x² – c2 if x 4 g(x) ={ is continuous everywhere.

A:

Q: Are the f-llowing functions Continual s OFC メーE X-2 スト=メ 1P 2) FCX)s X- S X +7 at XE-1 X5qXs (xフゴ

A:

Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

A:

Q: 46. Find the values of a and b that make ƒ continuous everywhere. 4 - if x < 2 f(x) = ax? if 2 <x <…

A:

Q: If functions ƒ(x) and g(x) are continuous for

A:

Q: Q3/ A) Decide if the following function is continuous using limits. 2х x1.

A:

Q: Suppose that f(1) = 3, f(4) = 5, f '(1) = 4, f '(4) = 4, and f " is continuous. Find the value of xf…

A:

Q: Suppose that f(1) = 4, f(4) = 5, f '(1) = 6, f '(4) = 3, and f " is continuous. Find the value of xf…

A:

Q: h(x) = { 3-2 -2 if x≤-1 Cx² + 4x if x>-1

A:

Q: Suppose that a continuous function g satisfies: g(x)dr = 30 and g(2x)dx = 3. 0. 2 Find r9(3x²)dx.

A: Suppose that a continuous function g satisfies: ∫03gxdx=30 and ∫06g2xdx=3. The, we have to find the…

Q: Find the x-values ( if any) at which f is not continuous. Which of the discountinuities are…

A: Given:

Q: Determine if the function is continuous at the given point. Sx³ x 2) f(x) = at x = 2.

A:

Q: is Continuous and S' fldx=l6, find S xf(x*)a

A:

Q: If 7х- 5,х <1 { h(x) = 3x2 – x , 1 < x< 3 Is h(x) continuous at (x=1)?

A: Continuity of function at a Point : Suppose a function f:A→B where A,B⊆ℝ .Then f is continuous at…

Q: Find the values of a andb that makef continuous everywhere. x² – 4 if x 3 a = Il ||

A:

Q: If f is continuousand ∫31f(x) dx=8, show that f takes on the value 4 at least once on the interval…

A:

Q: Show that f(x) = 2a + 3b is continuous, where a and b are constants

A:

Q: Suppose that f(1) = 2, f(4) = 8, f'(1) = 10, f'(4) = -3, and f" is continuous. Find the 4 value of…

A: We have to find the value of the given integral.

Q: Consider a continuous function f(x)=2ex−1−2x. The graph of f is decreasing on which interval/s?

A:

Q: f"(x)

A:

Q: Find the values of a and b that make f continuous everywhere ー if xcz 2-2 fac)= az²-bz +l, if 23 a =…

A: The objective is to find the values of a and b for which f(x) is continuous everywhere.

Q: Find the interval(s) where f(x)= x²- 2x+3 is continuous.

A:

Q: Find the values of a and b that make f continuous everywhere: x²-4 if x 3 -

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

Q: If the function f(x) = {cos(2πx−a),x&lt;−1x3+1,x≥−1 is continuous, what is the value of a?

A: fx=cos2πx-a,  x&lt;-1        x3+1,    x≥-1 Since Cosine function is continuous for all real numbers,…

Q: For what value of the constant c is the function f continuous on (-, 0)? S cx2 + 5x x3 – cx if x 4

A:

Q: 2x, ifx BDU G EDU y = 5, if x= 3 if x = 3 (x-5, if x 3

A: Given:   y=2xif x&lt;35if x=3x-5if x&gt;3 To prove whether y is continuous or not x=3. Solution: A…

Q: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

A:

Q: Suppose that  f(1) = 4, f(4) = 5, f '(1) = 6, f '(4) = 5, and f ''  is continuous. Find the value of…

A:

Q: Suppose f(x) is continuous everywhere, and has the following values: 10 20 30 40 f(x) 9. 13 2 3 What…

A:

Q: Suppose that a continuous function g satisfies: | g(x)dx = 12 and g(2x)dx = 27. Find æg(3x²)dx.

A:

Q: For what values of the constant c is the function f continuous on (-o, )? Show your work. S ex + 4,…

A: Please see the answer below

Q: Find the values of the constants a and b, that make (ах + b, ifx3 Both continuous and differentiable…

A:

Q: Answer the following True or False: For every continuous nonlinear function, you can find a value of…

A: To states whether true or false. For every continuous non linear function, there is a value of x…

Q: For every continuous f:[0,+0) →R _function , if a>0 2fx'f(x*)dx =[ xf(x)dx Demonstrate that this…

A:

Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

A:

Q: Suppose that a continuous function g satisfies: g(x)dx = 42 and | g(2x)dx = 12. 2 | #g(3x²)dx. Find

A:

Q: Q2/A) Decide if the following function is continuous using limits. flxl=2x,x«0 5Vx,x>0

A: We know that polynomials are continuous in their domain. Therefore, for x&lt;o, f(x)=2x and for…

Q: EDU 2x, ifx 3

A: A function, f(x) is continuous at x=c if limx→cf(x)=limx→c-f(x)=limx→c+f(x).  The limit of y at x=3…

Q: Q3) For what values of a and b are ax + 2b , y = x2 + 3a -b, 3x-5, 0 2 Continuous at every x ?

A: We will check continuity at breaking points of the function. For continuity , left hand limit and…

Q: Suppose that f (x) is a continuous function. 3 If | f(x) dx=5, then what is the value of z - f(x)]…

A: Given, ∫13f(x) dx =5Now,∫13[x -f(x)] dx= ∫13x dx -∫13f(x) dx =x2213 -5…

Q: If f(2) = 13, f' is continuous, and | f'(t) dt = 27, f(6)? what is the value of Answer:

A:

Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 x - 2 ax? - bx + 3…

A: