2. Given that g(x) = = x + 9 and h(x) = (x + 1)(x − 1), determine the following. Simplify where possible. a. h(x) - g(x) b. hx g(x) h c. (x) g d. goh(x) e. hog(x)

Q: Please provide detailed (step by step) solution.

A:

Q: 6. Use the intermediate value theorem to show that the function has a real zero between the two…

A:

Q: dy ) Find the particulate solution of the linear differential equation x-3y=x-1. dx

A:

Q: Consider the graph between two curves. Which of the following is the correct set up for the area of…

A: Consider the graph between two curves. To determine the set up of integral  that represents the area…

Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2,…

A: We have to check if the function is continuous or not.

Q: Write an equation in slope-intercept form for the line shown. (12) 12) 4- Pick pi pon -4 A) y = 4x -…

A: Find the equation of the line

Q: 2. A high school counselor wishes to test the theory that the average age of the dropouts in his…

A: Given Population mean μ=16.3, n=sample size=32, sample mean x̄=16.9, level of significance ɑ=0.01,…

Q: What Mclaurin Series this function represents: Eo = 1+x + 2! 3! 4! a. e^x b. cosx C. sinx O d.…

A:

Q: Do the following steps: (1) determine the size of the sample space; (2) list the possible outcomes;…

A: Red balls=4 White balls=2 Total number of balls=4+2=6 Y is a random variable representing number of…

Q: he random variable x has the following probability distribution: f(x) 25 1 20 .15 .30 4. .10 3.

A: Given data,

Q: Given that f(x) = {(1, 3), (2, 9), (5, 7), (11,9)} and g(x) = {(2,8), (3, 1), (4, 5), (9, 1),…

A: fx=1, 3, 2, 9, 5, 7, 11, 9gx=2, 8, 3, 1, 4, 5, 9, 1, 11, 0

Q: 1. Given that f(x) = {(1, 3), (2, 9), (5, 7), (11, 9)} and g(x) = {(2, 8), (3, 1), (4, 5), (9, 1),…

A:

Q: 3. For an arbitary 2-by-2 system of equations ax + by =r cx + dy = s (a) Determine the LU…

A:

Q: (4) Let M(v) be the gas mileage (in miles per gallon) of a car going at speed v (in miles per hour).…

A: a) M(30)=22 means:  For speed= 30 mph, milage is 30 miles/gallon That means: If the car is going at…

Q: Please explain the solution in a clear manner, step by step.

A: To evaluate the required quantities to the desired accuracy

Q: Show that rcjs0 = rcjs(-0)

A: Disclaimer: Since you have asked for hand written solution and currently we are not providing any…

Q: Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ...+ 2" = 2"+1 – 1.

A: see the attachments below

Q: An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10…

A: Given: The value of n is 25. The value of σ is 2 and the value of x is 9.25. The test statistic is…

Q: in rectangu -6

A:

Q: Let R* denotes the set of positive real numbers and let f: R+ R+ be the bijection defined by ƒ (x) =…

A: In this solution, we will examine the properties of the binary operation ⊗ on the set of positive…

Q: Another model for a growth function for a limited population is given by the Gompertz function,…

A: (1) given the differential equation dPdt=clnKPP   where c is the constant  and K is the carrying…

Q: 3. Let's assume you have a dataset as given below. Perform second order Lagrange interpolation and…

A: Lagrange's Interpolation formula x f(x) 1 0.1411 1.3 -0.6878 1.6 -0.9962 1.9 -0.5507…

Q: 3. State the domain and range of each function. Explain your thinking. a. f(x) = -3√2x+8 -1 b. g(x)…

A:

Q: 1. Find the three cube roots of z =-j and sketch the result in a single Argand plane. (express…

A:

Q: 2. (3i + 7)+(34 – 6i)

A: To simplify the given expression add the given complex numbers.

Q: (d) y = sin(tan(2r)) (e) f(t) = tan(eª) + etan(t) (f) y = ·

A: