Many and more students who study any branch in mathematics face a lot of troubles. And calculus is one of these problems. Trying hard to learn all the formulas the students finish up with a huge number of calculus questions that cause many problems in the studying process. We have worked out our service system so that you could get the calculus answers any time you need them with a minimum waste of time. If you have nobody to help you with the calculus problems β we are at your disposal!
CENTROID OF SOLID REVOLUTION:
The region of the 1st quadrant which is bounded by the curve x^2 = 4y, the line x = 4, is revolved about the line x = 4, Locate the centroid of the resulting solid of revolution
1. Find the volume of the solid generated by revolving the region between the parabola
x = yΒ² + 1 and the line x = 3 about the line x = 3.
2. Find the area of the region bounded above by the curve π¦ = 2π^βπ₯ + π₯, below by the curve y =π/π₯ 2, on the left by x = 0, and on the right by x = 1
Differentiate the trigonometric functions
1. = 2 sec x + tan x
2. y = sin x/ 1 + COS X
3. y = cos x cot x
Determine the real root of π(π₯)=π₯4β8π₯3β35π₯2+450π₯ β1001. Using false-position method to locate the root. Employ initial guesses of π₯l=4.5 and π₯u=6 and iterate until the estimated error πa falls below the level of πs=1.0%
Find the area of the region bounded by the curves x=yΒ³ and y=xΒ².
7. A cylindrical storage tank with a radius of 10 ft and a height of 30 ft is filled with water, which weighs approximately 62.4 Ib/ft3. Compute the amount of work performed by pumping the water up to a point 5 feet above the top of the tank.
6. A force of 20 lb stretches a spring from a natural length of 7 inches to a length of 12 inches. How much work was performed in stretching the spring to this length?
5. Suppose that a water tank is shaped like a right circular cone with the tip at the bottom, and has height 10 meters and radius 2 meters at the top. If the tank is full, how much work is required to pump all the water out over the top?
5. Suppose that a water tank is shaped like a right circular cone with the tip at the bottom, and has height 10 meters and radius 2 meters at the top. If the tank is full, how much work is required to pump all the water out over the top?
4. A spring has a natural length of 18 inches and a force of 201 lbs is required to stretch and hold the spring to a length of 24 inches. What is the work required to stretch the spring from a length of 21 inches to a length of 26 inches?