A computer store compiled data about the accessories that 500 purchasers of new tablets bought at the same time they bought the tablet. Here are the results: 411 bought cases 82 bought an extended warranty 100 bought a dock 57 bought both a dock and a warranty 65 both a case and a warranty 77 bought a case and a dock 48 bought all three accessories 58 bought none of the accessories Find the probability that a randomly selected customer bought:  

E. At most one of the accessories.

F. At most two of the accessories

..........................................................

9.The choices for problem number 30 part e from the book are given below. a. 0.116 b. 0.380 c. 0.794 d. 0.861 e. 0.567

10. The choices for problem number 30 part f from the book are given below. a. 0.096 b. 0.380 c. 0.120 d. 0.904 e. 0.851

Find f(t) if L(f)=s/(s^2+16)^2.

Solve the differential equation: y' + 2y = cos 5x

2. The Cost, $C, of hiring a repairman for H hours is given by C = 50 + 25h.

A. What does the repairman charge to walk in the door? B. What is his hourly rate?

3. The population a town, t years after it is founded, is given by P(t) = 5000 + 350t.

A. What is the population when it is founded? B. What is the population of the town two years after it is founded?

4. Find the slope and Y-intercept for each of the following:

a. -2y= -5x+9

b. Y = -16 - 4(-5 -3x)

c. 4x + 3y =-12

d. 5y - 3x - 10 = 0 5.

Find the equation of a line that passes through (6,7) and (6,1)

6.Find an equation of a line that is parallel to 3x + 5y = 6 and passes through (0, 5)

7. The total cost C of a yellow cab call lasting N minutes is $4.75 plus an additional charge of $2.50/mile.

A. Use a linear equation to describe the scenario B. How long was the cab ride if the total cost of the fare was $38.50?

Solve the following system of equations algebraically and check

a. 7x + 5y = -1

11x + 8y = -1

b. 5x + 2y = 1

2x - 3y = 27

8. Solve the following system of equationss graphically.

Y = -2X + 7

Y = 4X + 11

For the function f(x)=x^5-5x^3 determine:

a. Intervals where f is increasing or decreasing

b. Local minima and maxima of f,

c. Intervals where f is concave up and concave down, and,

d. The inflection points of f

e. Sketch the curve and label any points you use in your sketch.

For Calculus Volume One GIlbert Strange

Find the maximum and minimum values of f subject to the given constraints. Use a computer algebra system to solve the system of equations that arises in using Lagrange multipliers. (If your CAS finds only one solution, you may need to use additional commands. Round your answer to four decimal places.)

f(x, y, z) = ye^{x − z};    9x² + 4y² + 36z² = 36,  xy + yz = 1

Integrate products and powers of tangent and secant where secant has an odd exponent and tangent has an even exponent

Evaluate ∫tan^2 xsec^5 xdx using reduction formulas. Include +c in your answer and put parentheses around the argument of trigonometric functions.

Find The solution of the Differential Equation of (y+4x+2)dx - dy = 0, y(0) = 3 ( Please With Steps)

Make an investigate about others method may be used for linearization. Apply and explain in shorts words.

Analyze the function f and sketch the curve of f by hand. Identify the domain, x-intercepts, y-intercepts, asymptotes, intervals of increasing, intervals of decreasing, local maximums, local minimums, concavity, and inflection points. f(x) = ((x−1)^3)/(x^2)

Find

(f ⁻¹)'(a).

f(x) = 6 + x² + tan(πx/2),    −1 < x < 1,    a = 6

1. Average Cost for Producing Microwaves

Let the total cost function C(x) be defined as follows.

C(x) = 0.0003x³ − 0.02x² + 103x + 3,600

Find the average cost function C.

C(x) =

Find the marginal average cost function C '.

C '(x) =

2. Marginal Revenue for Producing Loudspeakers

The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has determined that the demand for these speakers is represented by the following function, where p denotes the speaker's unit price (in dollars) and x denotes the quantity demanded. Find the following functions (in dollars), find the value (in dollars) and interpret your results.

p = −0.02x + 890      (0 ≤ x ≤ 20,000)

(a)

Find the revenue function R.

R(x) =

(b)

Find the marginal revenue function R'(x).

R'(x) =

(c)

Compute the following value.

R'(8,200) =

Interpret your results.

When the level of production is  units, the production of the next speaker system will bring an additional revenue of  dollars.

3.Marginal Cost, Revenus, and Profit for Producing LCD TVs

A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation.

p = −0.007x + 190

The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values.

C(x) = 0.000001x³ − 0.02x² + 140x + 75,000

(a)

Find the revenue function R.

R(x) =

Find the profit function P.

P(x) =

(b)

Find the marginal cost function C'.

C'(x) =

Find the marginal revenue function R'.

R'(x) =

Find the marginal profit function P'.

P'(x) =

(c)

Compute the following values. (Round your answers to two decimal places.)

C'(1,500)=R'(1,500)=P'(1,500)=

20) For the given cost function C(x)=22500+800x+x2,

First, find the average cost function. Use it to find:

a) The production level that will minimize the average cost?

21) Given the function f(t)=(t−3)(t+7)(t−6).

its f-intercept is  

its t-intercepts are

b) The minimal average cost?

1. The position of a particle moving in a straight line during a 5–second trip is s(t) = 2t² − 2t + 2 cm. Find a time t at which the instantaneous velocity is equal to the average velocity for the entire trip beginning at t = 0.

2. a) A particle moving along a line has position s(t) = t⁴ − 34t² m at time t seconds. At which non negative times does the particle pass through the origin? (Enter your answers as a comma-separated list. Round your answers to two decimal places.)

b) At which nonnegative times is the particle instantaneously motionless (that is, it has zero velocity)? (Enter your answers as a comma-separated list. Round your answers to two decimal places.)

3. The tangent lines to the graph of f(x) = 7x² grow steeper as x increases. At what rate do the slopes of the tangent lines increase?