Given T(x) = 3x2 Find the following: T(8) T(0) T(-4)

Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: Given the function f(x) = Vx5 – 3Vx2, find the interval(s) of increase.

A:

Q: V4 + 3f(x), where f(1) = 7 and f'(1) = 4, 62. If h(x) find h'(1).

A:

Q: f(x)=2x(10x/x2-1 +7x5 Finf f'(x)

A: We can solve the given problem using chain rule of derivative.

Q: f(x) = 7x + 10 g(z) = + 2

A: Given query is to find indicated function value.

Q: Find f' (a) for 13x f(x) = 9x + 8 f' (a) =

A:

Q: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 108x2/3 −…

A: R=108x2/3-6x

Q: f(x) = x- 2x+4. Find kth)-fx) ん

A:

Q: Find the domain of f(x)=ln(4x-20)+ln(x 2+9x+18)

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: Find g(-T" 1+h -)-2 for h<<r r

A:

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

A:

Q: 4. Find the inflection points of f(r) = x-4r + 18x2-6x+1

A: To determine the inflection of the given function.

Q: Find the maximum revenue for the revenue function  R(x) = 373x − 0.9x2.  (Round your answer to the…

A: Given the revenue function R(x)=373x-0.9x2 . The objective is to find the maximum revenue for the…

Q: x3 – 7x? + 14x – 7 f(x) x² – 2x + 2 is given by y =||

A: The remainder, y = 2x+3   The detailed solution is as follows below:

Q: f(x)= .5x^2+4x-10 How do you find this using the secant method?

A: In this problem we will use the secant method

Q: f(x) = { kx+3, IF X<2 LyK-3x, IF X72

A:

Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 – 2x…

A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

Q: a. The f'(3) for y = v2x² + 7

A: Since, y=f(x)=2x2+7 -(i)Differentiating equation-(i), with respect to 'x', we…

Q: What is the domain of y=ln(x^2+3x−18)

A: Consider the given function

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A:

Q: Find f by solving the initial-value problem. f'(x) = 9x² + 6x – 9; f(2) = 5 - f(x) %3D

A: Given,  f'x = 9x2+6x-9  f2 = 5  We have to find  fx

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: Find the general solution for: X' = là X. -3 %3D

A:

Q: f(x)%3D4×+2x2 - x³ for -5 <x s 5. |

A:

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A:

Q: Find the approximate value of f (3.02), where f(x) = 3x2 + 5x + 3.

A: Given

Q: For the function z = x3 - 2x2y2 - 2y2 Please solve Zx and Zy

A: To find: The value of zx and zy. Given: The function is z=x3-2x2y2-2y2. Formula used: Power rule of…

Q: What is the value of f(1)-16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A: Please follow the next step.

Q: Given the profit function P(x)= 500x - x^2/ 100, where x is the number of units sold. Find the x to…

A:

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: f(z) = x2 – 8x + 15 g(x) = 1 – 3 ()e) Find |(x) (1) The domain of

A:

Q: Given f(x)=x² + 5x + 6, what is (2+)-7 O² + 14h 02x+h+5 Oh+4 09+h equal to?

A: Put value in function and then solve

Q: Find f by solving the initial-value problem. f '(x) =8/(x1/2), f(9) = 51

A:

Q: To compete with a major fast-food chain, a local restaurant introduced a new menu item called the…

A: Profit is cost subtracted from revenue. So directly subtract, that is  revenue minus cost.

Q: 2. If f(x) = |x|- 2 is translated -5 units horizontally and +3 units vertically, what would be the…

A: The function is given by fx = x-2 To evaluate: The new equation obtained when the function fx is…

Q: For f(x) = 25x3 + 50x2 - 4x +10 ... how do I find all values of x for which f(x) = 18 ?

A:

Q: f(x) = x²+6x+5 2-1

A:

Q: 5) [ (x² +1)´dtan x3

A:

Q: 4 f(x) = 2x + 7m (т — х)2

A: For m=9, to to find the extrema of: fx=2x+7m-4m-x2

Q: . For f(x) = 6x + 8, find the solution to f(x) = 35.

A:

Q: Determine the value of ∫k4 f(x) dx given that ∫49 f(x) dx=−9 and ∫9k f(x) dx=−3.

A: We have to find following definte integral .Information is given below:

Q: If the average cost per unit C(x) to produce x units of plywood is given by C(x) = 300/x+10 , what…

A:

Q: -10 If Lf'(x) dx = 7 and f(10) = -2, find f(-4).

A:

Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

Q: f(x)=43^2x+4x^4−44x3−864+72x^2 What is the end behaivoir of this?

A:

Q: Find f (k + 2) given that, f(x) = 3x² + 2x + 4

A: Given: fx=3x2+2x+4   We know that the perfect square formula; a+b2=a2+2ab+b2

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.