13) A mini-keg has a revolved parabolic side, with circular tops and bottoms. The keg is 8.00 inches top to bottom. -2 0 2 f(x) = ±√√-15(x-4) Find the Volume of the keg in cubic inches. Hint: revolve just the top right Quadrant about the y-axis from y = 0 to y = 4 and then double it! 4

Q: (I'o67 =7 %3D 2. of

A:

Q: B matrix= 3 X O oy Caluulate

A: The detailed solution is as follows below:

Q: Simplify & show your work: V54x"y19

A:

Q: Find derivative: (b) y= -3 -3x4

A:

Q: %3D 7. If mBC = (9x – 53)' and mCD = (2r + 45)", find mBAD. E

A:

Q: VOLUMEN √√10 -SV = y²+5 y215 10 y²+5 -(10-x² - 2y²) dxdy - - 10 (x +y) dxdy 3y² +5

A:

Q: QA, Solve the Ive : y'= [2+Y-2)", y lo) =2.

A: Using substitution method to variable separable form.

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Introductions :We have given an inverted pyramid.water rate = 55 cm3/secside length = 7 cm height =…

Q: 4.x²e2" dx 2.21 4. (d)

A:

Q: t.

A:

Q: fa) -x+3 grx)= %3D What is 2F(x) gra)?

A: f(x)=x+3 and g(x)=x4 we have to calculate 2f(x)-g(x)

Q: 4x (b 2x'e xp

A:

Q: find dy. y =2√x/3(1 + √x)

A: we have to find the derivative y=2x3(1+x)

Q: In the appropriate interval of convergence, we know that x then we can deduce, by applying the…

A: To determine whether the  given statement is True or False.In the appropriate interval of…

Q: (25х + 14) ег dx -

A: We solve this problem by help of integration by parts.

Q: dy 312 dx = y sin x

A: Given the differential equations3) And 7)  Find the general solution

Q: orea Evaluate the definite integral 2 (9et + 8x)dx using Part 1 of the Fundamental Theorem of…

A:

Q: - Trig Sub x5 dx (36x2 + 1)ž

A:

Q: 42V dx Vx

A: Use the formula, ∫axdx=axlog a+cwhere, c=constant of integrationlog a≠0

Q: find y' for Zy%3D2X-2y

A:

Q: (2a + 3y)dA where D = {(x, y) | x² + y? 0} . Find Round your answer to four decimal places.

A: The given integral is: I=∫∫D (2x+3y) dAwhere D= (x, y) | x2+y2≤16, x≥0

Q: A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of…

A: Given that:Volume=V=314.159Height=h=4 Rate of change of volume=dVdt=20 The question is asking for…

Q: Rachelle is cooking her favorite dish. She poured oil into a hemispherical bowl having a radius of…

A: Given:  Radius of the hemispherical bowl=0.1 m = 10cmInflow volumetric rate, dVdt=0.05 cu3s…

Q: what is the area of this triangle ( show steps)

A:

Q: Find // (3x + 5y)dA where D D = {(x, y) | x² + y² 0} . Round your answer to four decimal places.

A: Double integration

Q: Find dx5 d³y for y = sinh(4x²) – /coth(6x³) %3D

A:

Q: f5, (ix)4 6″ (x-6) dx = =

A:

Q: ay 3y fobit 2

A:

Q: Evaluate ſ²¹₁ (y +1) (y² + 2y)³ dy. Give your answer correct to 2 decimal places.

A: The given equation is, We have to solve this definite integral to get an answer in 2 decimal…

Q: 63. y = 1 + 2r + xe"; a = 0 %3D II

A:

Q: y10) f(x, у) %3D In x9

A:

Q: yV – y" + 2y' = 0. %3D

A: Topic = Differential equation

Q: + wha x+8'

A:

Q: 4x² sinh (x³) tanh (x³) dx

A:

Q: l6X-tan 3X, (- find openint & concav f(x)= 6-(seč 3x)3 3 sec?

A:

Q: Differentiate: y = tan(8x2 – 3x*)

A: