29. For what values of his f(x) = Oh=7 Oh=8 Oh=-1 Oh=-4 (4-2³ hr²+13 if z <3 if r≥3 ts continuous everywhere?

Q: Suppose f"(x) = - (sin(x)), ƒ'(0) = –2, and f(0) = -3. %3D Find f(1/4).

A: Given,          Suppose f''x=-sinx , f'0=-2 and f0=-3.

Q: 14. Are the functions continuous on the given interval? 7 (a) f(x) = 3 x € [1,7] and (b) g(x)=2x²-₁,…

A: For a function to be continuous on a given domain D, the function need to have finite values for…

Q: The value of (x,f(x)) for the upper and lower limits of the function fx=x^3-6x^2+4x+8 and for the…

A: Given function is fx=x3-6x2+4x+8find the upper and lower limits of the function for the period…

Q: Given the function f(x) =4x3 – 39x²+ 90x+ 2; which of the following describes its absolute extrema a…

A: We will find critical points to check for absolute maxima

Q: Let f and g be differentiable functions such that f'(0) = 3 and g' (0) = 7. If h(x) = 3f(x) - 2g(x)…

A:

Q: Let f(x) = 0 for x < 0 and f(x) =x3 for x ≥ 0. Match the following. Here DNE means does not exist.…

A: Givenf(x)=0,x&lt;0f(x)=x3,x≥0We need to findf'(0),f''(0),f'''(0)

Q: 2x2 - бх + 5 |Let f(x) = Evaluate f' (x) at x = 1. 4x2 + 3x + 10 f'(1) =

A: Given: f(x)=2x2−6x+54x2+3x+10 Quotient rule of differentiation states that ddxfg=f'g-g'fg2

Q: If f(x) is continuous on (-15,-5)such that, -10 SI5 f(x)dx=13 and/" f(x)dx =6 then find f(x)dx -10…

A:

Q: For what values of b is b + 1' x? + b, x > 0 8(x) = continuous at every x?

A: Now we check the continuity at x = 0:

Q: 4. If 0< f'(x)< for all x e R, show that f(-1) < f (1)<10+ f(-1).

A: Here we have to use property of increasing function . and Mean value theorem (MVT) Suppose f(x) is a…

Q: If y = f(x) is an odd differentiable function defined on (-o, 0) such that %3D f'(3) = -2 then…

A: A function f(x) is said to be even if f(-x) = f(x) And odd if f(-x) = -f(x)

Q: 6. Find f(x) dx if S7 for x < 7 for x 27 f(x)

A:

Q: If f(x) = X = x-9 x+3' where is f not differentiable?

A: Important point regarding rational function:-If function is a rational function then it is…

Q: If f(3) = 11, f' is continuous, and • f*F(x) f(4) = f'(x) dx = 15, what is the value of f(4)?

A:

Q: If f(x) = x cosh x + 5 sinh x then f'(x) =

A: Find the derivative

Q: Suppose that the values of a smooth function f are known for x = -0.15, –0.1, 0,0.1, 0.15 and 0.2.…

A:

Q: L0. Given f'(1) = 0, f' (0) = 2.5, f'(2) = -3, is x = 1 a maximum, minimum, or neither of f?…

A:

Q: (1 – > if x 1' (a) Evaluate f(-4) and f(1). f(-4) = f(1)

A:

Q: Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x 1/2 Ox1/2 Ox1/2…

A:

Q: 2а + bx b) For what values of 'a' and b' the given function f(x) = {12 %3D 2 ах — 3Ь x = 2.

A:

Q: An equation for the line tangent to the graph of the differentiable function f at x = 3 is y = 4x +…

A:

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: 3. (2') Let A+ cos x x 2. Given that q(x) is a continuous function, determine the value of A and B.

A:

Q: Suppose that f is twice differentiable function, f' and f" are continuous functions, and f(x)dx = 7.…

A:

Q: 1. What is true about the function f(x) = b* ? (Circle ALL that apply) c. f'(0) = Inb b + 1 b. x>0…

A: Find your answer below

Q: 4. True or False: If f'(3) = 0 and f"(3) = -2 then f(x) has an absolute maximum when r= 3. %3D

A:

Q: if x > 2 Given f(x) = {ax² + 10 (x² – 6x + B if x < 2 ’ (a) Find an equation relating a and ß if…

A: Given query is to find relationship between alpha and beta.