If the area bounded by x^2 - y^2 = 3, y=2, and y=0 is revolved about x=0, Find the moment of inertia of the solid generated with respect to the axis of revolution. a. 216pi/6 b. 202pi/5 c. 164pi/3

Q: b) This is a velocity-time graph of a particle. The area of the left shaded region is 6. The area of…

A: Since you have posted multiple questions, as per our company guidelines we will solve only the first…

Q: iff. equations : y' = 10x y dx - x dy = 0, y" + ky = 0, y'+ 2y = e-2*

A:

Q: Find the area of the surface swept out by revolving the para- metric curve x = 5 cost + 5t sin t y =…

A: Area under curve.

Q: Find def differenti81 equation of %3D Siny

A:

Q: Find mZJ. H. 5/2 5/2 J mZJ = Submit Work it c Not feeling ready yet? M

A: In the given right triangle HIJ HJ = HI

Q: 4. The path of the particle P is the ellipse defined by the relation reC 8= nt where r is expressed…

A: Given, relations are r=22-cosπt            .......1 Now differentiating the above equation of r with…

Q: Find a parametrization of the curve ²/3 + y²/3 = 1 and use it to compute the area of the interior.

A:

Q: 1. What is the differential for the total surface area of a frustum of a cone with l as the slant…

A: Given slant height l. Let r and R be the radii of the frustum. Let h be the height of the frustum.…

Q: Find the area Inside the cardioid r=2 cos (6/3) and outside the circle of radius r = vZ centered at…

A:

Q: Identify the type, order, degree, DV, IV and name of the DE. (y'")3+5(y")2-2y' - 5y=0

A:

Q: Bernoulli's equation: Q: dy don + m Sinzy = nicorty Herce, Plw) = e Noww by dividing both sides by…

A: The differential equation of the form, dydx+P(x)y=Q(x)yn is called as Bernoulli's differential…

Q: Evaluate the integrat. Sa dx су-хууг dx

A: Given :∫14-x22dx

Q: 6. Integrate , v4 – x² dx using trapezoids. Divide[-2,2] into 20 subintervals. Give the answer…

A: Given that, the function is fx=4-x2 and the value of a=-2 and b=2 and n=20. Note that, the formula…

Q: Solve for the y-component (in cm

A: Given, a=103.4cm, b=133.7  and   r=74.3cm

Q: 4. (3sin y- 5x)dx +2x cot ydy = 0 Ans. x'(sin y-x) = csin²y

A:

Q: dy du Find and 47 y%3Du and u=5x 2. 3x 司る

A:

Q: 3. Cylindrical Method a. y = 9 – x2,y = 0, about the x - axis b. y = Vx, y = x, about x – axis

A:

Q: Find y'(0) and y"(0) from the following table ofvalues: X 0 1 2 y 4 8 15 3 4 7 6 5 2

A: From the given table upper digits are values of X and lower digits are values of Y(X).

Q: 2. Integrate f(x, y) = sin /x2 + y² А. over the closed unit disk.

A:

Q: A tank is full of water. 1m 6m 12m 3 Set up an integral to find the work required to pump the water…

A: Given the figure with the data,  We will take a slice at a height y from the ground. Let r be the…

Q: Q.IH s= 1-csct , find value of ds 1+csct dt

A: Given, s=1-csct1+csct Quotient rule of differentiation states that ddxfg=f'g-g'fg2

Q: The height of the cylinder is 4 inches.   We'll be analyzing the surface area of a round cylinder…

A: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r…

Q: Calculate the moments of inertia of the shaded area about the x- and y-axes. 88 88 Ix² 51 Answers:…

A:

Q: Vrms= (um sin Wt dt 2 Vrms- sinwt)dt): %3D

A: To solve: Vrms=Vm22∫02πsin2ωtdt12

Q: у? (1 — х?)dx + x(х2у + 2х + у) — 0

A: Given equation is: y21-x2dx+xx2y+2x+ydy=0 and y2x+y2dx+xy2-xdy=0 Now, solve the equation…

Q: 3. Determine order and degree of d³y ;+ sin (y") = 0 dx*

A: