1. Let f(x) = 2x² – x. Find and simplify the difference quotient: f(x+h) – f(x) h

Q: If f(z) = 7(x – 1) + 8 , what is the value of f(1) ? %3D

A: Given : f(x) = 7(x-1) + 8 To find : f(1) = ?

Q: (Vx+4-3 if x # 5 Given: f(x) =: X-5 (к, d K so that f is continous at x = 5. if x = 5

A: We have to find out k value for which it is continuous

Q: If f'(x) = 2x- x-2, then f has inflection point(s) with x – coordinate(s) equal to

A:

Q: What is the value of f(1) - 16B in ∫x^3 lnx dx= f(x) ( (1/4) lnx - B ) + C

A: To find out the required value.

Q: 4) f(x) = | -1<x<1 Ans. 25

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

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: 2 Let fCx) = x"+ 3X twen f Gx) %3D 3 3. (XD = Ux +6 X - X

A: Note: As per the company guidelines we are supposed to answer the first question only. Kindly ask…

Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

A:

Q: What is the value of f(1) - 16B in 1 x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 0 2

A:

Q: 4x + 6 If f(x) = find: 7x + 4 f'(x) = %3D f'(1) =

A:

Q: If f(z) = 5.7x +6.9, then, f(x+h) is:

A: Given : fx =  5.7x+6.9

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: Suppose f(x) = v9 + x – Vx – 6. Find all x-values satisfying the equation f (x) = 3. %3D

A:

Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: whats the general antiderivative of the function f(x)=7x^(2/5)+8x^(-4/5)

A: Given : fx = 7x25 + 8x-45

Q: 3.) Give the coordinates of any points of inflection. f(x) = x³ + x² – x +1

A:

Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

A:

Q: Suppose f(x) = v9 +x - Vx – 6. Find all x-values satisfying the equation f(x) = 3. %3D

A: Given Data: Function: fx=9+x-x-6 Condtion: fx=3 Use substitution method to find the values of x for…

Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

A:

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

A:

Q: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

A:

Q: 2 Given that f(x) = 4x – 7 and g(x) = 4 – a?, calculate (a) f(g(0))=| (b) g(f(0))=|

A: Answer(a): The given functions are: fx=4x-7 and gx=4-x2. Then, the composition function is given as:…

Q: Find the most general antiderivative of f(æ) = -5x + (1 – a²)-1/2, where -1 < x < 1. F(x) =

A:

Q: If f(x)= x – 4 and g(x)= Vx – 2; | f which of the following is equal to (x)?

A: Rational function value

Q: what is (f o g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

A:

Q: f (x) = 3.x5 5x3.

A:

Q: 3 When |x Vx + 4dx was evaluated, the results can be express as F (x) == (x + 4) (x+ 4)ª – 7 (x +…

A:

Q: 7. Given f(x) = x² – 5x ,

A:

Q: 4. Find f(x), given: f"(x)=12x² – 18x, f(-1) = 6, f(2) = 3

A: Topic - function and integration

Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

A:

Q: s given by: (A(x² – 2x + 2) f(x) = ЗА 3 <x< 4 otherwise ere A is a constant

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: What is the value of f'(0) if f(x) = (x² – 2x – 1)i? %3D O Option 1 O Option 3 O Option 4 O Option 2

A: Given:  f(x) = (x2 - 2x - 1)2/3 To find: value of f'(0)

Q: Consider F = (4x°y+0, 9x³ + 5y+). Then div(F) = Aæ²y!0 + By³. What is the value of B?

A:

Q: 31. f(x) g(x) =

A:

Q: Find f(4) if f(t)dt = x2 - 2x +1 Note: Write your answer only as an integer. Your answer cannot…

A:

Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

A:

Q: 2. Given the function y = x²[2f (x) + 3x]*. If f (1) = -1 and 54 for x = 1, %3D determine f'(1).

A:

Q: What is the value of f(1) - 168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 1 3 2

A: Let's evaluate given integration.

Q: 5 If f(x)=g(x)+3 where 2<xs 5, then [[{(x)+g(x)]dx = 2ſ8(x)+3.

A:

Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

A:

Q: the antiderivative of f(x)= x3+ 4x2-3x-2+7x3/2-2sinx-11cosx

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: Find (f-1)'(a) for f(x) = V3x + 4 when a = 2. (Enter an exact answer.)

A:

Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: Find (f-1)'(a) for f(x) = V4 – 3x when a = 1. (Enter an exact answer.)

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.