Q: c. Let f(x) = x > 2 is the f(x) is continuous at x=2. X-2 8, x< 2
A: To check: Whether the function is continuous at x=2 or not. Given: The function is defined as,…
Q: Q3. Let g : [a, b] → R is continuous function such that S° lg(x)| dx = 0.Determine g(x).(Justify…
A: g is zero constant function.
Q: Q3) For what values of a and b are ax + 2b , y =x? + 3a -b, (3х -5, 0 2 Continuous at every x ?
A: Equate at given value
Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?
A: fx=x+2x2-3x-10⇒fx=x+2x2-5x+2x-10⇒fx=x+2xx-5+2x-5⇒fx=x+2x-5x+2 Now denominator is zero when x=5, -2.…
Q: 1- Vx – 2 f (x) = x + 3, x – 3 k x = 3
A:
Q: [2-x², x20 Given f(x) = , find the value c so that f(x) will be continuous at all values. x<0 x +C
A: Given that: f(x)=2-x2, x≥0x+c, x<0 NOTE: As per our answering guidelines, we can only…
Q: Q3) For what values of a and b are ax + 2b , y = x? + 3a -b, 3x-5, x 2 Continuous at every x ?
A:
Q: 3. Describe the interval(s) on which the function is continuous. c) S(x)= x-1 2, x= 1
A:
Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0
A: Given: y=x2 0≤x≤1A x>1x-B x<0 Given…
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A:
Q: Consider the function f(x) : Find the value of B such that (3x + B if x> 3* f(x) is continuous at x…
A: Given: fx=2x2+3 if x≤33x+B if x>3
Q: The function f(x) = 2 + 1/x is continuous on the following interval EXCEPT. O a. [-2,-1] O b. [1,2]…
A: At any point a for a function f(x) the limit limx→afx=L exists if the limx→a−fx=limx→a+fx=fa.
Q: Find number k so that f(z) = 10x + 8 x -1 is continuous on (-0,0). O -2 4 -4
A:
Q: Determine if the following are continuous at the certain point. Show your | COMPLETE SOLUTION. f(2)…
A: Authoring guidelines: As per the authoring guidelines we can solve only the first three parts of…
Q: 7) Find the absolute maximum of the function f on (0,E) S(x)= 10xe
A:
Q: The sketch that represents a continuous function, y = f(x), such that: f'(-3)=Ø f(-3) = 5 and A(1) =…
A: The graph of continuous function f(x) is given in the options. The given data of the function f(x)…
Q: x + 1, x 2 – 2x, |x² – 4x + 1, x > 2 x < 2 48. f(x)
A:
Q: Find a value of c that makes the following function continuous at x = 0. Explain why the value of c…
A: Given that, f(x)=15x-5sin3x2x3, x≠0c, x =0 The function is continuous when…
Q: 45. For what value of the constant c is the function f continuous on (-∞, ∞)? Scx? + 2x if x 2
A: Let f(x)=cx2+2xif x<2x3-cxif x≥2
Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…
A: Given : f(x) =1(4-x2)
Q: Q3) For what values of a and b are -x* +а, xsin + 1 0<xs y = bx3 + 2 , Continuous at every x ?
A: Explanation of the answer is as follows
Q: V4+x-2 If f(x) = ,x*0 be continuous at x = 0, then f(0) = 1/2 1/4 3/2
A:
Q: х? — 4 if x 3
A: Given: fx=x2-4x-2,x<2ax2-bx+3,2≤x<32x-a+b,x≥3 We know that given function will be continuous…
Q: Determine the values of a and b such that the function is continuous on (-00, oo f(x)-ax+b, -l<x<3…
A: We have to find value of a and b so that function is continous is given interval (-inf,inf)Function…
Q: D. For what values of a and b is Continuous at every x? -2, - b, f(x) = 3, -1 <x < 1 ах
A:
Q: Find the values of c that make f continuous everywhere: x? – c2 if x 8 smaller c = larger c = Use…
A: Given function fx=x2-c2if x<8cx+6if x≥8 The given function is continuous at x=8 then,…
Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…
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Q: Q2/ (a):Find the points at which the function f is continuous and the points at which ƒ is not…
A:
Q: Q3) For what values of a and b are -х2 +а , x<0 x in+1, 0 < x<- y = bx3 + 2, Continuous at every x ?
A:
Q: Find a value of x, if any, at which f(x) = Vx – 8 is not continuous. If f(x) is continuous for all…
A:
Q: Q3) For what values of a and b are -x² + a , x< 0 1 xsin-+1 , 0 < x< y = bx³ + 2 , Continuous at…
A: See the attachment
Q: 46. Find the values of a and b that make f continuous everywhere. x? 4 - if x 3
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Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1
A:
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: 86. If f is continuous and f (x) dx = 4, finc
A: Given that: ∫09f(x)dx=4
Q: 4) Is the following functions continuous? for x < 1, d(x)= x- 2 for 1 < x.
A:
Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 – 3x on…
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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…
A: Given: fx=1x2+1 To find discontinuities find the value of x at x2+1=0 x2+1=0x2=-1 But there exists…
Q: 3. What value of k would make f (x) continuous at x = 3 ? 3.
A:
Q: 7. Find the intervals on which the function is continuous, J (X) = +3)2+6
A:
Q: Q20: . Suppose that f(x) is continuous and differentiable on the interval [0,6], that f(6) = -7 and…
A: Given that the function “f (x)” is continuous and differentiable on the interval [0, 6] that, f (6)…
Q: The function f(x) = k is continuous.
A: Given f(x) = k
Q: Find the number a and b at which f is continuous everywhere? x+a if x 1
A:
Q: (c) Determine whether f (x) is continuous at x-2, where [4x+3, xs2 f(x)= 8-x, x2
A:
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: At what points of R² is the following function continuous? 17 f(x, y) = x5 (y² +81)
A: Solve the following
Q: Q3) For what values of a and b are (-x² +a, y ={ xsin - bx3 + 2 , 0 <x<: Continuous at every x ?
A: Given information: The function is y=x2+a x≤0xsin1x+1 0<x≤1πbx3+2 x>1π…
Q: Find the value k that makes the function continuous. S ka?, f (æ) = x > 2 ka + 4, г 2
A: Given thatfx=kx2 x>2kx+4 x≤2We have to find value of K for which function is…
Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 x - 2 ax? - bx + 3…
A:
Find all numbers at which f is continuous.
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