Find the average value of f(x) = ln x on the interval [1,2].

Q: QUESTION 13 Find(f og)(x) and(g •f)(x). f(x) = 5x - 1, g(x) = 8 - 4x a.(f g)(x) = b. (g-f)(x) = QUES...

A:

Q: Find the derivative of the function. y = sqrt (7+4e^6x

A:

Q: Solve for the interval of convergence of the power series. Be sure to verify convergence or divergen...

A:

Q: е. f(x) 3D (2x3+ 4)5

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?, (...

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 6 + du 2

A:

Q: Calculate the definite integral of x^2 + 4x approaches from 1 to 3.

A:

Q: Is the graph of the function below symmetric about the x-axis, the y-axis, or neither? Select all th...

A: We can find the correct answer as below.

Q: Find a polynomial of degree 3 that has zeros – 1, 1 and 2 such that the coefficents are integers= 2'

A: Let the polynomial equation be(x-α)(x-β)(x-γ)=0where α,β,γ are zeros

Q: Test for convergence or divergence, using one of the tests listed below. n(n + 2) O converges O dive...

A:

Q: Choose the Correct answer for the following: 3 1- 9 for y= sec x is equal to: dx 3 a) sec x tan x b)...

A:

Q: V12 2+3+ cos The value of sin cot cos V 4 + sin 4 12 is

A:

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 0....

A: Surface area generated by revolving a curve y=f(x) about the x-axis from x=a to x=b is given by, S=2...

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the b...

A: see below the answer and explanation

Q: the integral S(x³ – 2x – 1)e-*+1dx is equal to:

A:

Q: The solution of the first order linear differential equation y' + ycotx %3D

A:

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

A:

Q: 4. Зx? 3x+- 8(y + 1) = 0 y+1

A:

Q: For positive numbers a and b, the interval 0 < x < 6 Find the maximum value of the function f(x) = x...

A:

Q: Let f(t) = cot(t). Then f"(1/3) is

A:

Q: Problem 6. (The cross product project). The cross product for vectors in V is not associative, so so...

A:

Q: Find the inverse Laplace Transform of: s – 1 (s – 2)(s – 3)(s – 4)

A:

Q: Hew.3Findwandow de when P=ty9-4if: be W = xy +yZ + Zu +uV and x = Pg ,y=4 tan P 2= Ln L4-3e) V =P++1

A: put value of x,y,z,u,v in w to solve the partial derivative.

Q: Use the properties of logarithms to expand the following expression. log (V?) Each logarithm should ...

A:

Q: 3. Let r be a root of x3 - 5x +7 = 0. In Q[r] express - 1- 7r + 2r2 a) 1+r + r2 | as a quadratic pol...

A:

Q: Use a graphing calculator to find the intervals on which the function is increasing or decreasing. 1...

A:

Q: a. Find a power function that models the data below. b. Find a linear function that models the data....

A:

Q: How many years will be required for a given sum of money to be 4 times the principal amount, if it i...

A:

Q: D. x4-4x2+8х J(- • Evaluate the indefinite integral. dx ,and • Identify what is the u=? and du=? Sho...

A:

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find T'(t).

A:

Q: Use a graphing calculator to find the intervals on which the function is increasing or decreasing 10...

A:

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. 357x dx хе ...

A: The integral is given by I = ∫xe357xdx                              ........1 To Identify: The expre...

Q: For each of the integrals below, decide (without calculation) whether the integrals are positive, ne...

A:

Q: A. Evaluate the indefinite integral. S(2x+5)dx , and • Identify what is the u=? and du=? Show the co...

A: Solve the indefinite integral in complete solution

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2, 1sy...

A:

Q: 1 dy 3 yz-+ y7 = 1, when x = 0, y = 3 dx

A:

Q: B) solve the to olloWiH 1 1. find (f0 g) if f(x) = 1+x2 and g 3-x 2. find domain and range x2 +2 %3D...

A:

Q: Verify that ɛ¡ikEjik = 6 . ijk ijk

A: Follow the procedure given below.

Q: ind the derivative of the 1. y x cos x

A:

Q: By completing the square, dx the integral J is equal to: (x+5)Vx2+10x+21 sec-1+c x+5| + C sec- | + t...

A:

Q: 3 y2 + yi = 1, when x = 0, y = 4 %3|

A:

Q: Using Laplace Transform, solve the following initial value problem 3y' - 4y = sin 2t y(0) = ;

A: Given: 3y'-4y=sin2t  ; y0=13   Use the Laplace transform of derivation of function, Ly'=sYs-y0AndLsi...

Q: Given a function r(x) such that r' (x) < -4 on [5, 9]. If r(5) = -9, which of the following could be...

A:

Q: a sin a + In v ) da + tan adv = 0 cos a (In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(A...

A: The solution is given in the next steps.

Q: The price-demand and cost functions for the production of microwaves are given as p = 235-x/30 c(x...

A: Question- The price-demand and cost functions for the production of microwaves are given as   p = 23...

Q: x-8.901 V2.25+X² 2 Find other forms of the equation that are in the form of an equation: X= g (x)

A: we have to change the given equation in the form x=g(x) .

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: Please find the solution

Q: +00 e n Σ (x + 4)"- n! n=1

A: The given power series,       ∑n=1+∞enn!x+4n

Q: 1 i. g(x)= 3+9x? 1- 5 (Ans: (x+ x²)*. X + (x+ x -3 X + (x + x³ ) ³

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: