SOLVE STEP BY STEP IN DIGITAL FORMAT Determine the volume of the function f(r,0,z) in a complete cylinder of radius 3 and height 4, that is, r from 0 to 3, 0 from 0 to 2π, and z from 0 to 4 •4 2π ²² ²³(-2r²0z³)rdrd0dz - 2r²0z³

Q: 4. A right circular cylinder of height h = 2x is inscribed in a sphere of fixed radius R. (a) Show…

A:

Q: +5v

A:

Q: Evaluate the iterated integral ¡¡ -1 -2 (17x+8y + 10) dx dy.

A: I=∫−10∫−22(17x+8y+10)dxdy

Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

A:

Q: Integrate from 0 to 2

A:

Q: A radioactive bar of radius 5cm and length 2m is submerged along the central axis of a cylindrical…

A:

Q: -2 68% σ=4 6 +

A: The normal curbe is drawn as : Population standard deviation : Find value of population mean = ?

Q: Find the total diffedrential  w = x^16yz^4+sin(yz)

A: w = x16yz4 + sin(yz) Total differential  dw =wxdx + wydy +wzdz

Q: Solve by using u-sub  Find integral  3X/X+4 DX

A: The given integral

Q: A cylindrical can is partially filled with sand. The radius of the cylindrical can is 15 cm. The…

A: Let h be the height of thesand at any instant 't'∴vol at any time…

Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: the weight W of a steel ball bearing varies directly with the cube of the bearing's radius r…

A: Substitution is a way of linear equations in which we calculate a variable value in terms of other…

Q: The integral of the square root of the sum of two and the square root of y with respect to y may be…

A: Some integration formulas: ∫yn dy=yn+1n+1 ∫ydy=2y323

Q: An inverted circular cone has a radius of 10 cm and a height of 15 cm. When water level in the cone…

A: GIVEN: radius of inverted circular cone = 10 CM Height = 15 cm

Q: .x²y = 4x² + 7xy + 2y²

A:

Q: Solve using integration by parts de 3/2

A:

Q: Let z(x,y) = 4 x ² + 4 y ² where x = Calculate az & dz 다음 as x = 9s-5t '& y= 2S-7t

A: to find the values of then

Q: The volume V of a cone is given by the formula V=1/3•3.14•r^2•h. Solve the formula for h, and then…

A: We are given that the volume V of a cone is given by the formula V=1/3•3.14•r^2•h. We need to solve…

Q: Lake Ontario has a volume of approximately V =1600 km3. It is heavily polluted by a certain…

A: Rate of change of mas of pollutants in the Lake: dMdt=cinQin-cQout where c is concentration of…

Q: 5) Evaluate 2x enx da

A: we have to find