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. S² T π(x + 1)dx ²π(x²+2x+1)dx TX T(x²+2x+1)dx -1 ST(x + 1)dx -1

Q: is it linear?

A:

Q: (b) Find the value of each convergent improper integral and show why each divergent improper…

A: We need to calculate the improper integrals and then conclude it as convergent or divergent.

Q: ODE  Solve the homogeneous equation  dy/dx = 4y-3x/2x-y

A:

Q: use differentials to approximate the value 1. 664 .05 2. e^0.99 3. square root of 101

A:

Q: f(x) = x³, y = 1, x = 1

A:

Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

A:

Q: Find the area under the given curve over the indicated interval. y=x²; [0,5] The area under the…

A: Given: Now, we need to find the area under the given curve.          Area = ∫05x2dx          =x3305…

Q: 1. The value of (1.000) 27 is O 327 O 0.327 O 1.000 O Non of them

A: Any finite power of 1 gives you 1.

Q: T/F: The function y(t) = Pert-rt is a soln to s differential equation dy/dt = ry where P and r are…

A:

Q: 3- Find the length of the curves in Exercises 1-4. x = (y3/2/3) - y¹/2 from y = 1 to y = 9

A:

Q: Compute the total area A of the (infinitely many) triangles in the figure, if the height h of each…

A:

Q: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

A:

Q: Find the area of the region above the x-axis bounded by the function y = 4x - x2 – 3

A:

Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A: let the height of tank be "h"Volume is given by VdVdt=0.1 cu. ft/hrh=2 ftV= 10 cu. ftdhdt=?

Q: B/ Find the value of 18 194i 1. + 13 13 O 1 02 (11+5i) (8-6i) (3-21) (1-21) 2. 13 18 134i 1193

A: This question is based on rationalization of complex number.

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

A:

Q: if xy=yx

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

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

A:

Q: Parameterize a vase formed by rotating the curve z = 6√x – 3, 3 ≤ x ≤ 8, around the z-axis. Use s…

A: Given curve z=6x-3, 3≤x≤8 x(s,t)=s costy(s,t)= s sintz(s,t)=6x-3

Q: The Laplace transform of e erfc(√i) is? 1 a) √s (s −1) 1 √s (√s-1) 1 √s (s +1) 1 √s (√s +1) b) c) d)

A: As we know that erfcz=1-erfzand laplace transform of error function erfz=1ss+1and also we have the…

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

A: y=u4+3u2Differentiate w.r.t 'u'dydu=4u3+6u  --->1u=2xDifferentiate w.r.t 'x'dudx=2  --->2

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

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: cular el trabajo cula hasta el punto 4,7,5). Si la magnitud y dirección de la fuerza están dados por…

A: Given p =(0,0,0) andQ=(4,7,5) Then PQ= < 4,7,5> also force F is given. F =<1,4,8>

Q: a. create a maclaurin series from the function: f(x) = 1/(1 + x)2 b. Determine the value of X so…

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: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: In Exercises 4-7, consider harmonic oscillators with mass m, spring constant k, and damping…

A: answer is in next step . please give a like !!!!

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: f(1 ¹ (1 + 2/1/2) ² du u²

A:

Q: 5. -9.763332111 is a Whole number. True false 6. (0.01) 365 > (1.00) 365 True false 7. (2²²)⁰+ (2⁰…

A: 5. Given , -9.76332111 we need to say wether given number is a whole number or not definition of…

Q: what is the basic concept of a derivative? How is this derivative calculated? What techniques/rules…

A: Use the definition of derivative

Q: 4. General solution of dy= y-x dx y+x

A:

Q: 6. Find the integrating factor, I of the linear differential equation dy dx A. -x²y B. C. D. e-x²…

A:

Q: 6. dy dx 4x + 3y 2x+y

A:

Q: 3. The small circle is tangent internally at (-2, 0) to a big circle. See the figure below Find the…

A:

Q: a. To solve ² + 5x = 0, Mai rewrote the equation as z(x+5)=0, Explain how rewriting this equation in…

A: We have to solve the equations.

Q: (x + 1)² (y-8)² (v-8)² = 1 - + 9 81

A: Given query is to find the conic form.

Q: Find (au/ay), at the point (u,v) =(√2,3), if x = u² + v² and y= uv. ди (2) = (Simplify your answer.)…

A: Given query is to find indicated partial derivative.

Q: A box with a square base and open top must have a volume of 42592 cm³. We wish to find the…

A:

Q: cos²x sinx dy + (y cos³x - 1)dx = 0

A:

Q: QUESTION 3 Find the particular solution for the given separable differential equation. dy 2x+y,…

A: We have to solve differential equation

Q: Condense the expression to a single logarithm using the properties of logarithms. log (x) - log (y)…

A:

Q: Suppose the semicircle shown to the right is revolved about the x-axis to generate a sphere. Let AB…

A:

Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

A:

Q: 6. 12 3 4 7 11 9 O о О в Ос о С CO D D. A 0 5 6 7 B. [8 20] с. 11 D. None of them

A:

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

A:

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

A:

Q: Directions: Give the answer completely. Show the graph and the plane region in the Cartesian plane.…

A:

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

A: Given,  21a-3b5c83a5b-2c7