9. Find the volume of the solid obtained by rotating the region R enclosed by y = -x² + 6x-8 and y = 0 about the y-axis. Use the shell method.

Q: True or False? 4. Let f : R → R be a function defined by f(x) = x^2+1. If B = {2, 5}, then…

A: according to the company rule we can answer only the first question and rust can be reposted.

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A:

Q: Evaluate the following Integral using integration by parts X CSC X S - dx CSCrCOU

A: Use by parts method of integration

Q: Let R be the region in the second quadrant that is inside the polar curve r = 2 and outside the…

A: In this question, we want to find the correct representation of area of the region R.

Q: strip.

A: y-axis using the horizontal strip ,  y = 0 , x = 4/0+1 , x=4  so y-axis at x=4 and y= 0. Area of…

Q: he table of integrals to evaluate the integral. (Use C for the constant of integration.) sin (20) J…

A: The solution is given below.

Q: cos(x) 2x+3

A:

Q: +00 0 x (x²+4)3/2 dx

A:

Q: 3 Evaluate: ³₂²₁¹ [2³(x + y)³] dz dy dx

A: This is a problem related to triple integration. Based on the general formula and concept we will…

Q: Evaluate the integral: -2e π/3 ₁²/³ tlnu tans ds du dt

A: Topic = Integration

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A:

Q: 62. y" +9y=e* cosx

A:

Q: For f(x) = √ √2-4 4- ™ Of is not continuous at x = 4 Of is continuous at a Of is continuous at a 5…

A:

Q: Given a second order differential equation dx 3t 2x = e³t dt where t = 0, x = -5. Using Laplace…

A:

Q: 6 By separation of variables, Solve the following 5 PDES :- учи ²4 dx2 0 o u(e,t) = u(5,t) =6 u(x,0)…

A:

Q: 5) y = tanx secx 6) Y = b x+1

A:

Q: Evaluate: 3₂(4x²y - z³) dz dy dx

A: On solving this we will get

Q: Using exact Solution, find the general solution of the following differential equation: (cos2y -…

A:

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: This is a problem related to matrix. Based on the general formula and concept we will find out the…

Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

A:

Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

A: Given

Q: Q4: A) For each of the following ,find fx fy fxx fyy fyx and fxy 1.f(x, y) = ln(2x + 3y). 2.f(x, y)…

A:

Q: cos(bx) sin(bx) dx

A: topic- indefinite integral

Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve y…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

Q: ∞ ∞ dx 2 x² +9

A: Given :∫-∞∞dxx2+9

Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve 2…

A: The answer is given below:

Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: y ye 2x+4 tax

A:

Q: Evaluate the following * 5 Sa 4x - 1 In(4x - 1) 4 O II -dx + C 5ln(4x - 1) 4 + C 5ln(4x − 1) + C 4…

A:

Q: Evaluate the integral: -2е π/3 ƒºƒ²² ƒ”¹/³ t ln u tans ds du dt see

A: Given

Q: Find the volume of the solid that results when the region enclosed by y = √√√x, y = 0, and x = 49 is…

A:

Q: PARKING THIS BLOCK 2AM TO 5AM 2 HOUR PARKING THIS BLOCK 9AM 6PM EXCEPT SUNDAYS 15 MINUTE PARKING…

A: Ques (a) According to the third sign (at the bottom), the parking time is between 8 AM to 5 PM. So…

Q: 5 Use Cartesian coordinates to evaluate [[[ v² av dV D where D is the tetrahedron in the first…

A: Please follow the next step.

Q: Determine the values of r for which the differential equation y" - 4y = 0 has solutions of the form…

A:

Q: 2 \n'/x/ ax

A: We will solve the problem.

Q: hi what is the simplified final answer of this?

A: Given problem:-

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A:

Q: Q1llenn Prove the following using the principle of mathematical induction. For n ≥ 1, 1 1 1 1 3/2 +…

A: Given; 1/52+1/54+...+1/52n=(1-1/25n)1/24.

Q: For the following exercises, use the second derivative test to identify any critical points and…

A:

Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: find the derivitive, r'(t), of the vector function.  r(t)=a+3tb+t^7c

A:

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Let's find area of region bounded by given curve and y axis.

Q: ♥ 82u = cos x cosy, u(x₁#) = X ₂ U (π, y) = 2 cosy 2 axdy Ans: u(x,y) = sinx sing + 2/2² + 2 cosy -…

A:

Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

A:

Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

A:

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution = 2x +…

A:

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A:

Q: 2.f(x,y) = y²x¹^ey.

A: 2. fx,y=y2x4ey Note:    In the question 1, variable for cosine function missing. Hence we answer…

Q: Q6. Let w = f(r,0), r = √x' + y³, 0 = tan'(y/x), ), find aw ?х > and ди ду in terms of r and 0.

A: