Set-up the integral using vertical element for the volume of the solid obtained by rotating the region bounded by y=x+1 > y = 0. x = 0, and x = 2 about the x-axis. 2 S²π(x + 1)dx -1 ₂2 π(x²+2x+1)dx ²π(x²+2x+1)dx -1 ₂2 0f²M π(x + 1)dx

Q: 1 sinx # 1-cos2x ẩu! (6 2

A: Given query is to find the value of the limit.

Q: A rectangle fence was installed yesterday around gemma's house. The students from the near high…

A: Given problem:- A rectangle fence was installed yesterday around gemma's house. The students from…

Q: Find dy of the function y = cos2 3X + √√Sin x dx

A:

Q: Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X-4* X-4 b. Find lim f(x).…

A: The graph of the function is  To evaluate: a. limx→4-fx and limx→4+fxb. limx→4fxc. f4d. Continuity…

Q: Q.17: Find an expression for the nonhomogeneous ODE whose general solution is given by: y = Ae³x…

A:

Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

A:

Q: X f(x) Using "Newton's progressive method from table below, the approximate value of the function…

A:

Q: if xy=yx

A: Given query is to find the derivative of the expression.

Q: Assume the annual rate of change in the national debt of a country (in billions of dollars per year)…

A:

Q: 2. y = x³, y = 4x²

A: Given query is to find the area under the curve.

Q: Consider the ODE: (2x siny)dx + (x2² cosy + cosy)dy = 0 a. Solve the ODE by separation of variables…

A: We have to solve ODE by seperation of variable

Q: II. Find dy/dx of the following functions: 4. ytan (tanh.x) 5. y=e³x sechx 6. y = √sech5x

A:

Q: 7. (22²)⁰+ (2⁰). (2²)⁰= 2 True O false 8. sin ²e + cos²e=(1)". if n>1 True false 9.Sin(x) is an odd…

A: We have to find the true or false of the statements

Q: Find the area under the graph of the function over the interval given. y=x*; [2,3] The area under…

A: Given query is to find the area under the curve.

Q: A) A retailer has been selling 1,000 computers a week at $750 each. The marketing department…

A: Please see the below picture for detailed solution.

Q: MY NOTES ASK YOUR TEACHER At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h.…

A:

Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: 3. F(x)= 4x4- 6x²+1 is not even function. O True O false

A:

Q: Determine cuál de los siguientes vectores es paralelo a = -4i-j+5k 1 5 --21 + 글+24 •j+ K →= -8i-2j +…

A:

Q: 8- The simple expression of the 21 a b c 3a³b²c² is

A: Given,  21a-3b5c83a5b-2c7

Q: If 2* ( (4x-1)/5) =3 then x = 0 1 O 0.1 O-0.1 5 100 17/8 160 O +1 O-1 500 √25 +1,-1 None of them

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Given:-f(x)=3+3x-3x2 ; 0, 3f'(x)=3-6xfor critical pointsf'(x)=03-6x=06x=3x=36=12second derivative…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7-².…

A:

Q: NÁW [1 2 Find A¹ of The Matrix A= 3 2 -1 [3 1

A:

Q: IF y = u+ + 3u2 & u = 2x Find dy dx

A: Given  y = u4+3u2 and  u = 2x We have to find dydx.

Q: Using Rationalizing Substitution O a=2, b=3 O a=64, b = 729 O a=4, b=9 O a=8, b=27 729 dx 64 (-3√/x…

A:

Q: A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 39…

A: Answer: The solution is as given below:

Q: IF y = u+ + 3u2 & u = 3x Find dy dX

A: If y=f(u) and u=g(x),thendydx=dydu.dudx dundu=n.un-1

Q: In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 7 s.u. S.U. S.U. 2 9 s.u.

A:

Q: T T Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ bounded by…

A:

Q: 7- Deteremin all Max and min value of y= xe* +3e³

A: Given that  function   y = xex + 3e3         ........……........(1) Now  differentiate eq. (1) w.r.t.…

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

A:

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A:

Q: 10 Find an equation for the tangent line to the graph of y = (x³ - 25x) ¹0 at the point (-5,0). The…

A:

Q: Find the indefinite integral. 1 dx 3 (x²+9) 2 a. b. C. d. x² 9√x²+9 +C +C 9√√x² +9 x 9√√x² +9 x² +C…

A:

Q: 5. -9.763332111 is a Whole number. O True O false

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

A:

Q: 5. Find the partial derivatives with respect to x of the function: xy² - 5y +6 a. y²-5 b. y² C. xy -…

A: We have to solve partial derivative with respect to x As per Bartleby  guidelines we have to 1…

Q: Using Rationalizing Substitution S O Arctan(y) + C Ⓒ2Arctan(y) + C O In(y) + C O2ln(y) + C dx X√√x-1…

A: The integral is  ∫ dxxx-1=∫f(y)dy

Q: (a) Find a simplified form of the difference quotient and (b) complete the following table.…

A:

Q: X Consider the function f(x) = x²-1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

A: All the subparts are solved below-

Q: y"-2y'-8y = 0 if y(0) = 3; y'(0) = 6

A:

Q: 13) 2 X 121 + (y − 1)² = 1

A:

Q: position of a moving object is s (t) = 1³ – 31² - 45t-1. What is its acceleration at t=2?

A: Given query is to find the acceleration at indicated point.

Q: f(x) = x³, y = 1, x = 1

A:

Q: Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression…

A:

Q: Ax 10.5 7.1 × де 400 = x + What is the value А ? д - 10.5 3.1 - 7.1А -

A:

Q: Find the average value of the function f(x)=x²-9 on [0,9]. The average value of the function…

A: Use the average value formula for finding the value