c2 – x2, x < 2 lx+c, - Find the values of C so that the function h (x) is continuous everywhere. x > 2

Q: Find all the antiderivatives for the following function. 18 f(r) = 7 +1

A:

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: Sx² 1 if if > 2 x f(x) = 5 3 if x < 2 af is differentiable at x = = 2 bf is continuous at x = 2 cf…

A:

Q: Suppose that f: R R is a differentiable function, satisfying f(3)35 and f(x) dx=8. What is the value…

A:

Q: He)=(x+2)e f has absolute extreme values on ?

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&lt;0   NOTE: As per our answering guidelines, we can only…

Q: 9. If f(5) = 10, f ' is continuous, and f '(x) dx = 15 18, what is the value of f(6)? %3D f(6) =

A:

Q: For what value of the constant c is the function f continuous on the interval (-o, 0o). - Scr+ 3z, I…

A: Explanation of the answer is as follows

Q: Find the absolute extremum values of f(x) = xe² xez-2x² 3 on the interval [0, 1]. (Note: ez ≈ 0.22)

A:

Q: For what value of the constant c is the function f continuous on (-o, o)? { Cx2 2x if x < 5 - x3…

A: Observe that, f (x) has discontinuity at x = 5.If it is continuous at x = 5, then continuous on…

Q: 4x + 4 if r 8 36 if r= 8 Is f(x) continuous at z = 8? O Yes • No Cannot Be Determined

A:

Q: For what value of the constant c is the function f continuous on ( - 0, 00) where cx + 6 if a 7

A: Given      fx = cx+6            if x≤7cx2-6          if x&gt;7To find      Value of c where function…

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: Sx' - 3, xS2 lx² +1, x>2 a. Is h continuous at x = 2? b. Is h differentiable at x = 2? 2. Given that…

A: A function is continuous at a point if the limit of a function at that point is equal to the value…

Q: 13. A differentiable function f on the interval -2 sxs7 is such that f'(c) = 0 where -2 <c<7. If…

A: Clearly we have, f'(c) = 0. Means c is a critical point.

Q: For what value of the constant c is the function f continuous on (-0, 0) if x < 5 f(x) ={ cx? + 8x…

A:

Q: 81 xf(x²) dx. 6. If f is continuous and f(x) dx = 4, find

A:

Q: Find the value of the constant c so the function f is continuous on ( – x, 0) where сх + 3 if x 4

A: The objective is to find the value of the constant C so that the function f is continuous on R.

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: At what interval is y=3x5-5x3 decreasing O x>1 O -1<x<0 O -1<x< OU 0<x<I O -1<1<l

A: We have to find interval where it is decreasing

Q: 3x2 – 1 if x 1 Determine c and d so that f is continuous everywhere

A:

Q: For what value of the constant c is the function f continuous on (-00, 00)? cx2 + 2x if x < 5 f(x) D…

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: For what value of the constant c is the function f continuous on (- o, 0) wh- cx + 7 if x 8 C =

A:

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

A:

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: For what value of the constant c is the function f continuous on ( – ∞, ∞) where S (2)² – c -c if r…

A: Given

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

A:

Q: If f(1) = -0.6, f'(x) is continuous, and f'(x)dx = -12.2, what is the value of f(4)? %3D

A:

Q: 49 |'xf(x?) dx. If f is continuous and f(x) dx = 16, find

A:

Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use…

A:

Q: Sx +5 if x m . Find the value of m such that g(x) = is continuous at x = m. А. 2 В. 4 C. 8 D. -1

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&lt;8cx+6if x≥8 The given function is continuous at x=8 then,…

Q: How many antiderivatives does a function of the form f(x) = x" have when n 0? A 1 B may vary…

A:

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

A:

Q: Iffis continuous and f(x) < 0 for all xE[a,b], then what is true about f(x) dx? a Choose the correct…

A: Solution

Q: On the graph of f (x) = sec x and the interval [-2x, 0), for what value of x does f(x) = 1? Choose…

A: We need find value of x for which secx=1 in the interval -2π≤x&lt;0

Q: If F(x)=∫e^(5t2) dt over interval [3x, 4x^2], what is F′(x)? (Do not include "F′(x)=" in your…

A: Given,  over the interval  .

Q: (b) If 38 10z f (2) = (2** + 6) e then at how many points the function f (z) is not differentiable?

A: f is every where differentiable, there are no points such that the function f(z) is not…

Q: 5 Given that y is a function of x, differentiate the expression (x + y) with respect to x. Enter D…

A: The objective of the question is determine the derivative of the given function.

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

A: Given as

Q: For what value of the constant c is the function f continuous on the interval (-oo, oo). Sz² - 9, 8z…

A:

Q: For what value of the constant c is the function f continuous on the interval (-o, 0). f(x) = { x² -…

A: we have to find c

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

A:

Q: Suppose we know that f(x)dx = 2 and g(x))dx. S g(x)dx = 7, find the exact value of S°F (x) %3D

A:

Q: On the graph of f(x)=sinx and the interval [−2π,0), for what value(s) of x does the graph cross the…

A:

Q: Find a value of the constant k, if possible, that will make the function continuous everywhere.…

A:

Q: Suppose that a and b are positive numbers, so that xº · (1– x) is defined for every value of x in…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.