9. A cylinder with a top and bottom has radius 2x + 1 and height 2x – 1. A Write a simplified expressions for its a) surface area, where SA = 2Tr² + 2™rh b) volume, where V = Tr?h - %3D

Q: If 24r-1 = 2', then. = 7. %3D

A: Given 24x-1=27

Q: Surface Area = 12x8- 544 in

A: Following daigram contains all details about the give question.

Q: 7) va = 4h %3D

A:

Q: Area = (-3, 3)- УА x = y2 - 4y x = 2y — y²

A:

Q: What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

A:

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: This is problem of optimization and application of differential calculus.

Q: the time is takes to run 5 kilometer race its descrete or continous

A: Solution: Discrete random variable: A variable is said to be discrete if it takes the positive…

Q: Find the volume

A:

Q: 4. A passenger vessel whose dimension is 90m H x 60m W x 100m L has a mass of 500 metric tons. What…

A:

Q: An engineer wants to build an aquarium with a window in the shape of a trapezoid. Find the missing…

A:

Q: Evaluate. 4 10x + 1 dx 5x2 + x %3D

A: This is the definite integral, firstly integral will be calculated after that limit will put

Q: Differentiate: 1. y = x*-x + 5 2 2. α : e+1

A:

Q: A spherical snowball is melting. Find the approximate change in volume if the radius decreases from…

A: Solve the following

Q: 3. бу?dx — x(2х3 + у)dy %3D 0

A:

Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

A:

Q: (2.) A right cylinder has height 5.0 cm total surface area 62.0 cm². radius. 2πr² + 2πrh and Find…

A:

Q: Find y= Cot )

A: According to chain rule of differentiation ddxfgx=f'gx·g'x and according to division rule of…

Q: An iron pole consisting of a cylindrical portion 110 cm high and of base diameter 12 cm is…

A:

Q: Solve: f"(x)= 8x², f'(0)= 3 and f(1)= 6 %3D

A:

Q: Differentiate.

A: The given function is y=xtanh-1x.

Q: Surface Area = 12x8= 544 in J

A:

Q: 17) 4x2 - 4y2 = -48 2x2 +2y2 = 40 %3D %3D

A:

Q: Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base…

A: To find the work required to pump all the water out of the cylinder, we need to calculate the volume…

Q: Find length of the cardioid r=a0³from 0 = 0 to 0 = n %3D

A: Length of the cadioid is given by below formulaLength = ∫0πaθ3dθ

Q: 16 - 17. H-8 cm W-6 cm L-10 cm SA= V=

A: Basic identities are used.

Q: If the base radius of a cylinder increases over time, while its volume remains constant, will the…

A: Assuming radius r>0 and height h>0 , volume of cylinder V=πr2h Given: r is increasing over…

Q: 2. Find the Surface area of the following 3D shapes (a) 3 cm B. 2 cm (b) r= 3cm 16ст

A: Given, The 3D shapes, Cuboid with dimension 2 cm, 3 cm and 4 cm Cylinder with height 16 cm and…

Q: 12. 14 mi

A:

Q: 1. y = 101nx %3D

A:

Q: A hiker makes an extremely rough estimate for the dimensions of a square-shaped park.  The length is…

A: Given: Length is estimated as 10 km ± 4 km and the width as 10 km ± 3 km.   Thus, maximum length…

Q: What is the magnitude of a=?

A: a=<−1,0,2>To find its magnitude

Q: 7. If mBC= (9x - 53)' and mCD = (2r + 45)", find mBAD.

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: dy if Find dx (3x2 + 6х — ух)(5х + 2 y + 10). DO NOT SIMPLIFY.

A: