Find the area bounded by the indicated curves. y=x",y 2-x, x = 0 (x20)

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Find each of the two areas bounded by the curve y = x³ – 4x and y = x² + 2x. Solve in two ways.

A: Given curves are, and Comparing both,

Q: Find the area lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

Q: Find the area enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: find area, y=2x , y=3-x2  (0,1)

A: Area is a 2-dimensional quantity which is the measure of amount of space covered by any shape in a…

Q: Use 8 rectangles to find the area of the curve for the equation y = -x^2 + 9 on [-3, 3].

A: area=∫abf(x)dx≈∆xf(x0)+f(x1)+...............+f(xn-2)+f(xn-1)                      where, ∆x=b-an

Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

A: