Calculus Answers

Find the area bounded by the curve x=y²+2y and the line x=3.

Find the area of the region bounded by the curves X= Y³ and Y= X²

) Solve the area bounded by the curve y = 4x-x² and the lines x = -2 and y = 4.

Find the area, take the elements of the area parallel to the x-axis. y= 2x³-3x³-9x; y=x²-2x²-3x.

Water is flowing into a conical vessel 18 cm deep and 10 cm across the top at the rate of 4 cm3/min. The depth of the water is "h" cm. If the rate which the surface is rising is 0.1146 cm/min, find the value of "h"?

write (2-i)(4-3i)^2/3+2i in the form a+bi where a,b,er.

1) Find the area bounded by the curve y=9-x and the x axis.

a) Horizontal Strip

b) Vertical Strip

Calculate the definite integral y = 𝑡 ^3 + 2𝑒 ^ 4𝑡 + 1/ 𝑡 + 3 sin 2𝑡)

Differentiate the trigonometric functions

1. = 2 sec x + tan x

2. y = sin x/ 1 + COS X

3. y = cos x cot x

Find the area of the region bounded by the curves x=y³ and y=x².