t X ~ (0,1) and Y ~ (3,4) be independent uniform bles. Estimate the pdf of X + Y and plot it. Find a N bution that best matches this pdf and add the dens ne. (use R-code)

Q: Let p1 be the average price of MP3 players, p2 the average price of audio files, f (p1, p2) the…

A: Let p1 be the average price of DVD players, p2 be the average price of DVDs,fp1,p2 is the demand for…

Q: Var(5 + 2vx) = 4(E(x) – (E(Jx))² true False O

A: From the provided information, Var (5 + 2√x) = 4(E (x) – (E(√x)))2

Q: how did you determine your t values for the piecewise function?

A: Given that yc=0t≤0ce-1tt>0 Here "y" is a Piecewise function.

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

A:

Q: O Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D %3D %3D %3D

A: As per given data we can write f(0)= 13+1 = 2 f(1)= 23+1 = 9 f(2)= 33+1 = 28 f(3)= 43+1 = 65 f(4)=…

Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

A:

Q: 8 Use definition L{f(t)} = - S% e- 0 -st f(t) dt to find L{3t}

A: From definition of Laplace integral  for function ,, Here

Q: 4. Expand the following functions into Taylor series at the point indicated and find their radius of…

A: As per the guidelines we experts are allowed to solve only three sub parts of a problem. kindly…

Q: For the following exercises, consider the scenario: The profit of a company decreased steadily over…

A: We have to find the equation of linear regression.

Q: c. Find x when C(x)=137,850. Interpret your answer. d. Find C(500) and interpret your answer.

A: Given query is to find the indicated vale of x and cost for 500 units.

Q: 5. Find a value of x such that 1 = 3. Plug this into ao + a₁x + a₂x² + a3x³ + a4x² + a5x5 + α6x6 +…

A:

Q: 2 If f(x) = 3x? + 9x and g(x) = x + 3, find f • g(x) . Completely simplify the result

A: to see 2nd step

Q: 3. + 2 = 7 Check your work: f( )=유+2=7 + 2 = 7 4 %3D

A: Topic - equation in one variable X=20

Q: If f(x) = Vr – 4 – 3x, find f(4), f(8), and f(13). %3D

A: f(x)=x-4-3x

Q: determine f ∗g. Q. f(t)=6t2, g(t)=5t3

A:

Q: Differ entiate he ff 4. Purdut Rule sluct ) f (x) = x³(3x+2).

A: Product rule of differentiation: If p(x) and q(x) are two functions of x, then…

Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: V3.V12 12.

A:

Q: = Evaluate f(2) - f(1) f(x) = 6x + 1 %3D

A:

Q: Using your knowledge of Excel, calculate the total rainfall per month for each of the 24 months. The…

A: The formula to find monthly rainfall is mean daily rain*days per month.

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

A:

Q: Let f(x) = cx3.4 and suppose that f(4) = 14. Find the value of c. Round to 4 places, if needed. c =

A:

Q: 7. Given f (x) = 4 +3|2x + 4|, find f (-3). %3D

A: Given that f(x) = 4 + 3 |2x + 4| We need to find value of f(-3). Now, Put the value x = -3 in given…

Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x- 5. 8. Find (f + g)(2) 9. Find (fg)(3)

A:

Q: 2. 7x' + 15x + 9x + 1 = 0. %3D Find exact value(s) for x such that (x+ 1)

A: Solve the equation