53. Suppose that f(x) = 3 sın x. 3. (a) Solve f(x) 2. %D (b) For what values of x is f (x) > on the interval 3/2

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: the x's for -3

A: Given:

Q: 3x - 2x+5 5. Find the instantaneous rate of change of f(x)= at x=-3 (Round to 4 decimal places).…

A: Solution:-

Q: Find f"(1)given f(x) = x Vx + 5x Зх. 2.

A: Given function is : fx=x2 x+5x2-3x=x2 x12+5x2-3x=x52+5x2-3x To find the value of f''1

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

A:

Q: 14. Express f(x) = |x as a piecewise function.

A:

Q: uppose P(x) represents the profit on the sale of x DVDs. If P(1000) = 3000 and P'(1000) = −3, what…

A: Given that  Px  represents the profit on the sale of DVDs. P'1000  is our profit for selling 1000…

Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

A:

Q: If (f • g) (+₂) = O x-2 2x-4 x+5 and f(x) = 32, find g(x). x-2'

A:

Q: Referto Forcion TOF nctior fCx)=X+4 (+) a cx)=2x²+2x

A:

Q: Find f. f"(x) = 6 + 6x + 24x2, f(0) = 2, f(1) = 12 f(x) =

A:

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: 12. Find each of the following for f(x) = -4x + 7. (a) f(3) (b) the value of x for which f(x) = -1

A:

Q: 25. f(x)=2x, 0<x<2

A: 25 Given function is fx=2−x, 0&lt;x&lt;2. We have to find the even and odd extensions of the given…

Q: For the function f(x) = , find f'(x). 4x 7-x' f (x) = Answer: %3D

A: The given function is: fx=4x7-x      .....(1) To find the value of f-1x

Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

A: The given function is f(x)=x24+x

Q: Find the max or min value of /x) -3x + 6x + 4

A: We have to find the maximum or the minimum value of the following function -  f(x) = -3x2+6x+4

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

A:

Q: If f(x) = x2/(4 + x), find f "(2). f "(2) =

A: f(x) = x2 /(4+x)  f'(x) = [(4+x)(2x) - x2(1)] / (4+x)2  = (8x+2x2 - x2)/(4+x)2 = (8x+x2)/(4+x)2…

Q: 20. Find the slope for f(x) = |x – 2| + 3 from -x' + 5x - 3 X=-3 to x-2? A. -5/5 B. 5/8 C. -8/5 D.…

A: Given that f(x)=x-2+3 and,-x2+5x-3. The formula for slope is, m=f(x1)-f(x2)x1-x2

Q: If h(x)=2-4/3x given the equation for h-1(x)

A: The definition of h-1(x) is h-1(x)=1/h(x)

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: 51. (a) 4 = -cı (b) c1(t) = 8e(-2/5)t g/L

A: (a) Given information: dc1dt=-25c It is first order seprable ODE

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: 04. + 2- 3r-11 (a) Show that -0 can be rearanged as

A: Given that: f(x)=x3+2x2-3x-11

Q: (0) On the interval [6, 9], / f(x) dr %3D

A: Integration of f(x) on the interval [6,9] is given by:

Q: If f(x) = 6 + 6x − 4x², find ƒ'(-3). - -48 X

A:

Q: The profit in dollars from the sale of x expensive watches is P(x) = 0.09x² -5x+5x0.8-4400. Find the…

A: The given profit in dollars from the sale of  expensive watches is To Find the marginal profit…