for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

Q: Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9)…

A:

Q: If y = arcsin(ln(3x – 4)), dy

A:

Q: If y = arcsin(- 5x + 1), dy dr

A:

Q: Q6: Find the outward flux of the vector field F=(x²y+e'sin(y))i+ (x²+ e*cos(y))j through the right…

A: Solution

Q: Q5. Find a general solution for the following second order non homogenous ODES. y"-4y' + 4y = 2e²x +…

A: Given: y''-4y'+4y=2e2x+4x-12 So, we can also write as; D2-4D+4y=2e2x+4x-12 The auxiliary equation…

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A:

Q: Q4:B/Simplify [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's theorem?

A:

Q: 3. Consider the initial value problem (IVP): ty' — y = t²e-t, y(1) = −1. (a) Use integrating factor…

A: We will use integrating factor method to solve this.

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: Solved below as per the definition of given terms.

Q: The following graph is the result of applying a sequence of transformations to the graph of one of…

A: The following graph is the result of applying a sequence of transformations to the graph of one of…

Q: 393. lim x x → 0+ 1/x

A:

Q: a) (b) (c) ê Sir COS -2s (²+4)² 8 (²+4)² 2s (s²+4)²

A: Topic:- application of integration and derivatives

Q: 15. Solve the following system of equations using the matrix method. Show your work. Express your…

A: We have to solve the given system of equations.

Q: 16. f(x)=-3x¹(x+4) a. b. C. d. 0. lim x--1 f(x)= lim 11-1 /(1) lim lim lim 1172 f(x) =

A:

Q: (4 4 Find the roots of Z²₁+1=0 it/2 Hint i = e :

A: Given :Z4+1=0Hint : i=eπ2i

Q: for the following P.d.f of x, find the p(x<1) and p(x<1) .F(x)=x²/18 if -3<x<3 and 0 in other place…

A: Let's solve.

Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

A:

Q: у=х+5 6х

A:

Q: Function h(t) = sin t + et Point 1 Let (₁1¹) (ㅠ, 6 (a) Find an equation of the tangent line to the…

A:

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

A:

Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11. f(x) =…

A:

Q: Suppose y sec-¹x. Then a arcsec O sec y Y sec Y

A:

Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

Q: 1, if possible, A+ B, A −8, 24, 24-8, and 8+4. (If not possible, enter IMPOSSIBLE in any single cell…

A: To find matrix.

Q: မှား 7 & Y ↳ 3 N 10 [COOT Return this question to its initial state 4 On the graph, make the two…

A: Equation of the dashed line y=43x-2 we have to find the parallel line passes through 5,2

Q: Solve the standard equation of every circle that passes through the points P(1,-1) and Q(3,1) and is…

A: I am attaching image so that you understand each and every step.

Q: Book Problem 1 Sketch the graph of the function f(x) = Let g(x) = f(t)dt. (a) Then g(-6) = g(-3) =…

A:

Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. a. mean = 3; st. dev. = 1.414 O b.…

A:

Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

A:

Q: 2 x-3+ 3-x 6. lim 4 9-1²

A:

Q: lim A) e⁹ TE B)e-9 C) D) e-s

A:

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: This question can be solved by adding the values 0.21,0.19,0.10 and 0.07.  The detailed solution for…

Q: 2. If x² - xy + y² = 3 find y' and y".

A:

Q: question 6. (D4-5D²-36)y = 0 answer 6. y = k₁ cosh 3x + k₂ sinh 3x + C3 cos 2x + C4 sin 2x…

A:

Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: + + -5 -4 -3 -2 -1 у 5+ 4+ 3+ 2+ 10 О -1+ -2+ -3+ -40 −5+ 1 2 3 4 5 X

A:

Q: - 3 f(x)= x-2 2 if x 4 (a) Choose the correct graph below. ITPT▬▬ O Te C T ▬▬▬▬▬▬▬ Q O CHH do #fo 2…

A: Topic:- function

Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11.…

A:

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

Q: nts. The results of 120 parts are summarized as follows. Length Excellent Good 84 12 15 9 Surface…

A: We  are asked to find the probability that the length is not excellent.

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 8, t > 0 y =

A: This differential equation can be solved as follows:

Q: (a) Prove, by mathematical induction, that for every positive integer n, 2²² =2²(n+1)²,

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of…

A:

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: This is a problem related to probability. Please follow the procedure given below.

Q: H

A:

Q: the general solution of the following equations: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ---------by…

A: Topic:- solution of differential equations

Q: please find the area of a triangle,given the points A, B, and C Plot the points A= (0,2,6), B=…

A: Topic = Vector

Q: 5. Oil flows into a tank according to the rate F(t)=1+1, and at the same time empties out at the…

A: Please see the below picture for detailed solution.

Q: B-Prove that the solution of the following differential equation xy' + y = xis y = In(ex*), when…

A: