Use f(x) = 5x-4 and g(x) = 3-x^2 to evaluate the expression. 1.(f•f)(x) 2.(g•g)(x)

Q: A rubber ball is launched into the air. Its path is modeled by the equation f(x)=-0.65x2+4.37x+5.25.…

A: Given

Q: AY (x) 10-8 6 -4 2 2- g(x) 4.

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Q: lim 3/2 8 x→ 4 x -- 4

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Q: Find the limits

A: We will find the limit by substitution

Q: А. 1. lim(7x* - x° +15x? – 11) X→-1 5x° + 6x? – 11 2. lim x--2 2x4 - 3x3 - x +16

A: Given:                                           1).limx→-1(7x4-x5+15x2-11)       To solve the given…

Q: 6. f(x) = -(x + 6)(2x – 3)(x – 5)

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Q: im ³√2x²-10 x-->3

A: Given : limx-->32x23-10 To find out limit we plug in 3 for x directly inside the cube root

Q: 27. f(x) = 3x + 2. 3x 2x

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Q: .22メ-3 when x=-3 G-メフナス

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Q: lim (8x3 - 4x² + 4) X--1

A: Given,            limx→-1 8x3 - 4x2 + 4

Q: Lim 5x−3 – 4 x→∞ 2x-2 + 9

A: Given,          limx→∞5x-3-42x-2+9

Q: In a particular country, railroad miles have been on the decline and the miles of roads in the…

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

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Q: Lim             x^4 - 6x^2 - 8x-3/x^4 +2x^3 -2x-1                                              X…

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Q: С. 6x° – 12x +13x³ - 5x +7 1. lim 14x7 -13x +1 1x³ + 4x? – 6 15x8 – 13x +9x6 – 5x³ + 4 - 2. lim 13x°…

A: 1.  Given: To evaluate the given infinite limitslimx→∞ 6x8-12x5+13x3-5x+714x7-13x4+11x3+4x2-6=limx→∞…

Q: 2x2 (b) lim 2x 24 - - x - 4

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Q: 2 х* —4х lim x→4 x² – 3x -4 — Зх

A: Here we use the L.hopitital rule to evaluate the limit.

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

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Q: L'Hospital limx->0 (5sinx/62x)1/x

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Q: 2 - 3x - f 2x-2,

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Q: 2 --6 2. lim r-2 x2-2

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Q: In a particular country, railroad miles have been on the decline, and the miles of the roads in the…

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Q: 4 lim x→3+ \ x²+3x-18 7x2-11х-30.

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Q: 8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2)-2 10. f(x) = (5x* – 7x)2/3

A: The given functions are: 8. fx=6x2+7x4 9. ft=4t2+3t+2-2 10. fx=5x4-7x23 Find the derivatives of the…

Q: 5- V4 +3x (3) lim ズ→7 7- x

A: The given function is limx→75-4+3x7-x

Q: A team of researchers finds that there is a relationship between the overall health of a forest…

A: We need to find maximum number by drawing graph.

Q: (a) 5x-3 – 4 (i) Lim: X--0 2x-2 +9 (x- 3)2 (ii) Lim 7- 2x – 3

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Q: -7x2 + 7x + 2 14) lim x--- -16x2 - 7x +8 14) A) B) 1 D) -

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Q: |2x+4| lim x->-2+ √x+2

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Q: 4. lim x5 – x* – 2x3 – 3x2 – 2x + 1 X--00

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

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Q: 7x3 – 4x + 2x6 lim с. 5x3 — Зх2 x--00 7x3 - 4x + 2x6 lim d. 5x9 — Зх2 x00 7x3 - 4x + 2x lim 5x3 —…

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Q: Find y" for = x^2/x^2−2 , you must use quotient rule

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Q: (4x-V16x C. lim +3x-5 3x-7* d. lim x0 2x-15*

A: c)…

Q: Lim            [4(2x-1)2-196]/(x+3) x->-3

A: Given that the limit is

Q: 5x?-4х 4. lim- x+0 2x2+3 5. limVx6 + 5х3 — х3 3 2+3x-5x2 6. lim 1+8x2

A: This question is related to limit.solved in step 2.

Q: Sketch the graph of:

A: Given: fx=-x2-6,x≤-4x+5,x>-4 For drawing graph of given function, we will use graphing calculator

Q: Suppose that a company’s weekly profit is given by the function P= -0.2x^2 +100x-2000 where x is the…

A: the given profit function is P=-0.2x2+100x-2000 the average profit function is given by P¯=Px…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: To find the concavity intervals, double differentiate the function f(x)…

Q: how how to expand the function f (x) = 2x4 – 3² + x + 7 %3D

A: Given,                                     f(x) =2x4-3x2+x+7…

Q: Limx→∞  (5x^−3 − 4)/2x^−2 + 9

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Q: lim + 4x - - X00

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Q: f(x) -10 -8 -6 –4 -2 4 8 10 1 -2 -3 -4 - 6 -가 -8F 2. 1.

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Q: 9. f'(x) = 4x³ + 5x² – 7; f(0) = -3

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Q: What is the domain of y = ln(x2 - x - 6

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Q: For a certain company, the cost for producing x items is 45x+300 and the revenue for selling x items…

A: For a certain company, the cost for producing x items is 45x+300 and the revenue for selling x items…

Q: Šolve for x: x° + 4x <0

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Q: The total profit (in tens of dollars) from the sale of x hundred boxes of candy is given by P ( x )…

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Q: Suppose for a company the function of income (in dollars) is given by R(x)=-0.12x^3+1,296x+12201…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!