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Consider the decomposition of
(6x^3+x−3)/(x^2−2x+1)
Find the equation of the tangent and normal lines to the curve y3-xy+x2=1 at (1,0)
Inregrate "\\int \\frac{\\cos x dx}{\\sin^2 x}"
Volume of the Solid (Shell Method)
Given the bounded region is revolved about y axis, find the volume of the solid generated.
The region below the curve y= Inx, above the x-axis, and to the left of the line x=4.
Suppose z is a function of x and y and tan(√x + y) = e^z^2. Determine ∂z/∂x and ∂z/∂y.
The base of a rectangle is changing at the rate of 3 in/min. If its height remains constant, determine the rate of change of its perimeter with respect to time.
Find the area, take the elements of the area parallel to the x-axis. y=2x³-3x²-9x; y=x³-2x²-3x..
find the area of the region bounded by the curves x=y³ and y=x²
find the area of the region in the first quadrant by bounded by the curve y=sqrt x^2+5, the x-axis and the line x=2
4) Find each of the two areas bounded by the curves y=x³-4x and y = x² + 21.
