If f(x) = 4x +4 and g(x) = 2x - 1. What is (f- g)(3)? %3D A. 35 C. 45

Q: Suppose we were asked the question: "What is the smallest perimeter a rectangle can have if the area…

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Q: 3 If f *¸9 (2) dx = -5 g(x) dx = -2 and Find the value of 3 15 -5 g(x) dx 15 g(x) dx = 9

A: Solution of given question is written in below steps.

Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

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Q: 9. h(x) = (x2-4) (x2-1) 10. g(x) = %3D -5x-23x3-25x2-x+ 6

A: For multiple questions, we can solve the first question alone. For the rest of the questions,…

Q: Find the smallest solution to f(x) = 3|x - 5| =9

A: Given,         f(x)=3|x-5|=9

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

A: Given query is to find indicated function value.

Q: -x³ (7x + 1) (3x + 6)5 f (x) = In

A:

Q: 1. GE = 2x – 7 and GF = x + 4. What is GD?

A: Given figure is: In △GBF and △GBE, we have ∠GFB=∠GEB                    Each 90°∠FBG=∠EBG…

Q: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

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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: A study indicates that spending money on pollution control is effective up to a point but eventually…

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Q: F(X) = 3X+5 g(X)= 6X (Fxg)(X)= (F-g)(X)= (F+g)(4)

A: f(x) = 3x+5g(x) = 6x(F x g)(x) = F(g(x))                  = 3g(x)+5                  =3 x 6x+5…

Q: Consider choosing x and y to maximise -x-3y, while 1 3y In(3x) + In 3 3 cannot fall below 1.4. What…

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Q: 8) f(x) = 4x + 8 g(x) = x + 3 f(x) * g(x) = ? a) 4x + 24 b) 4x + 20x + 24 c) 4x2 + 12x + 24 d) 4x2 +…

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Q: _x+5 g(x) 0.5x + 2

A: To solveg(x)=X+50.5x+2.

Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

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Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: 5x g(x) x2 C = 0 + 3x - 4 g(x) n = 0 8.

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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: (D) h(x) = 12g(x) – 11f(x). | h'(2) = (E) h(x) = 10f(x) + 9g(x) – 2. %3D h'(2) = (F) h(x) = –10g(x)…

A: Given that :- f'2=-6g'2=9h'2=?

Q: g(x)=(4x^2-5x+1)e^x g'(x)=

A:

Q: -7 -5 | g(x) dx = -5 and | g(x) dx = 8,

A: Given,                      ∫2-7g(x)dx=-5   and   ∫25g(x)dx=8then         ∫-75g(x)dx=?

Q: s. f(x) = x4. x/15 - 5x02 8 X x4 - 2x

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: h(x)=3x+1 g(x)=x-2 Findh(6)+g(6)

A:

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

A: Consider the given function

Q: What values of a and b, with a < b, minimize the value of (x* – 2r?) dr?

A: The given integral is ∫abx4-2x2 dx. Draw the graph of the function y=x4-2x2 as shown below. .

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

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Q: How to solve for f(x)=x2+7 and g(x)=2x+5  A.(fog)(2)

A: Given :  f(x)= x^2+7 g(x)=2x+5 f(g(2))=?

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

A:

Q: (b) g(x) = (1+4x)*(3+ x – x²)®

A: ddxuv=vdudx+udvdxHere u= 1+4x5, v=3+x-x28dudx=51+4x4×4  ,   dvdx=83+x-x27×-3x2g'x=3+x-x28  5 1+4x4 4…

Q: Suppose f(x)=−x2+10x−6 models the per household smoothie consumption, in quarts, in the town of…

A: Given that : fx=-x2+10x-6. Therefore, take first order derivative : f'x=-2x+10. At f'(x)=0 , we get…

Q: | (1 – a*)dæ (1 — а?) а

A:

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

A:

Q: 1) g(x) = 2x + 8

A: given function g(x)=2x+8 on diffrentiating this function we get

Q: D+ E(x – 2) + F(x – 2)² + G(æ – 2)³ -

A:

Q: f (x) = e1x²+8x 40° 4x2 (3.x2 + 2)* 4

A: f(x) = e4x^2+8x (3x2 + 2)4

Q: Find the derivative

A: Use the chain rule and division form of derivative and simplify.

Q: Solve the problem. 13) The concentration, in parts per million, of a particular drug in a patient's…

A: We need to find when the drug will eliminate.

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: Suppose y = 3x + 2. What is fl.y if x increases by 3?

A: Given y = 3x +2, if x increases by 3, then we have to calculate the change in y.

Q: Given the revenue function R(x) = x³ + 3x2 +x .Find the average revenue of producing 100 units. %3D

A: Given the revenue function, R(x), the average revenue of producing 100 units is R(100)100

Q: Suppose c(x) =x-20x + 10,000x is the cost of manufacturing x items. Find a production level that…

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Q: c) f (x) = -(0.75)4x+2 – 5

A:

Q: g(x) = 3x2 + 12x + 1

A:

Q: (x-2)" . g(x) = E n=1

A:

Q: 4x3-3x+5 If S dx = (f(x) : = 5 (f(x) + ) dx , then f(0) = 13x+5) x²-2x x²-2x) A B 8

A: Solution:GivenIf ∫4x3-3x+5x2-2xdx=∫f(x)+13x+5x2-2x dxTo  find f(0)=?

Q: E f Cx) = x+ X -3x-3:0 Two decimed.

A: x^3+x^2-3x-3=0 (x³+x²)-3x-3=0 x²(x+1)-3(x+1)=0 (x²-3)(x+1)=0 Equate  (x²-3)=0 Using identity…

Q: 10) f(x) = V3x – 1

A: Explanation of the solution is given below..