- g(x) = \x – 9 – x, evaluate at x = 10, 9, 11, and 12 %3D

Q: Using L'Hospital's rule, determine whetherf (x) or g(x) given below grows at a faster rate. f(x) =…

A: Given to use L'Hospital's rule for f(x) and g(x) where: Using L'Hospital's rule and applying…

Q: Find f-1(x) f(x)=(e-x)/x

A: Given, f(x)=(e-x)/x To find f-1(x)

Q: 3-x * = 1 if x = 0.300 x 10' (take three order to the fractional portion). T O F

A: The equation is  3-x·1x=1

Q: f(x)=x+5 glx)=x -1

A:

Q: f 4/9 of a 3rd-grade class are boys, what is the boy co girl ratio in this class?

A:

Q: f(x) = x³ e* on [-1 , 5]

A: Let the function be f(x)=x3e-x. Differentiate the function with respect to x implies,…

Q: f(x) = 5x csc x 7 f (x) = 100 + 2cosx – 3x+x 3.

A: *formula:- d/dx (cscx) = -cscx*cotx. d/dx (x^{n}) = nx^{n-1}. d/dx (cosx) = -sinx.

Q: 1 g(x) (1 – x)3'

A:

Q: find the net change in g between x=0 and x=7

A: Here we have to find the net change.

Q: 333. f(x)=e* Inx

A:

Q: If p(x) is the total value of the production when there are x workers in a plant, then the average…

A:

Q: f(x) = 4x In(x), x> 0.

A:

Q: Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2? * Decreasing…

A: Given: fx=2x3+300x3+4

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: A8: By use of the chain rule, differentiate the function f(x) = In(x* + 1).

A: It is differentiation using chain rule.

Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: 4) f(x): g(x) = - 3x

A: Given, f(x)=1x and transform the graph into g(x)=-13x

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Consider the given function,First find the derivative of the given function,

Q: Find the average rate of change of g(x) 7x? + on x3 the interval [-3,3] Write your answer as a…

A: Topic:- average rate of change

Q: g(x) = 10) Find the extrema for in [-5,-0.5] x² + 4x+4 X

A:

Q: z(#-x)- 202 What is the value of when X =u e

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

Q: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: 3s+7, Find L'f 's2+9*

A:

Q: Find the linearization L(x) of the function at a. f(x) = x3 − x2 + 9,    a = −2 L(x) = ?

A:

Q: Find abs. max &min f(xcy) =x²+y?-2x +40 on y=X, X=0,4=3

A:

Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

A:

Q: 4. f'(x) = 0 for x =

A: We know, f'x=0 for the critical points. Critical points are where local Maxima or minima occurs.

Q: [4]f (x) = x* (Domain and Range) %3D

A:

Q: evaluate h(x) = 2x-1/ 3x+1 at the given value of x h(s-5)= ?

A:

Q: (e) x+1 f(x)= 10(x-2)

A:

Q: 6) flx) = x g(x) = -x' + 1

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

Q: + x) at a = -2

A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…

Q: f(x)= s-1)² - 1

A:

Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

A:

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: (4) = {KG* x – x), 0, if 1<x< 3 f(x) otherwise

A: Given information: Let X be any continuous random variable. The probability density function of X is…

Q: f(x) = (-x² + x)ln(x³ + 2x) f'(x) = ? %3D

A:

Q: |x| for x 2 10. g(x) = %3D

A:

Q: (a) yaf (x)-2x+1 (b) y-g (x)-(5 for x>0 (-5 for x <0 (0 for x-0 (c) y-h (x) -x+1

A:

Q: Consider the function: g(x) = 2x + 6x 2 Find the average rate of change of g(x) between the points =…

A: We will Use the average rate of change formula to solve our given problem.

Q: Is f(x)-(2x^3)+ (300/x^3) + 4 increasing, decreasing or not changing at X=-2? * Insufficient Data…

A:

Q: x² + 5 1.) Where is e(x) increasing? Decreasing? x + 2

A: According to bartleby guidelines, for more than one question asked only the 1st question should be…

Q: f(x)=8x+1 g(x)=7/x+1 (f*g)(x)= ?

A: Givenf(x)=8x+1g(x)=7x+1

Q: 4) g(x) 5 at x=3

A: Given,  g(x) = 15·13x at  x = 3 g(x) = 15·133 =15·133=15·127 =1135

Q: Insufficient Da Not Changing D Increasing

A: Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2.

Q: 5x²³-4x²+3x LX Find the most general antiderivative of the function: f(x)=-

A:

Q: Sx² - 1 if x > 0 lx +1 ifx < 0 f(x) = What is the range? * O (-1,+*) O R-(0} (-00,1)

A: The domain of f(x): The set of values of x for which the function f(x) is defined.  Range of f(x):…

Q: g(x) = X/5+ x2   concave upward        concave downward

A:

Q: f(x) = x – 4; g(x) = 5(x) - Ay

A:

Q: 40. f(x) = -x' + 3x + 7, %3D

A: