Find Volume, y=1/sqrt(8) x^2, y=sqrt(x), revolve x-axis & y-axis

Q: Integrate: ∫ (3x^2+x−8)/(x^3+4x) dx

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Q: Find the value of k so that the following curves y=(x^4)/k and y=-3x^3-2x^2 intersect at more than…

A: To find the value of k such that the curves y=kx4​ and y=−3x3−2x2 intersect at more than two points,…

Q: Find dy. y=5th root of x^2(8-2x)

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Q: sketch this:  y= 1/4x^4 -x^3+90.   show important points/features (including how to find relative…

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Q: .2 y = x", y = 2x, about the line x = 0 using the method of disks or washers. 4 Volume…

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Q: you want to paint a framed picture. The frame you make will be 2 inches wide on the top and bottom,…

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Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…

Q: y = 2x/sqr(x^2 + 1) - find the deriviative using chain rule and explain each step clearly and show…

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Q: a rectangle can be drawn in the first quadrant bounded by the curve y= 8- x^3 , the x- axis and the…

A: Let the Length of the rectangle be x and width by y. Hence, Area of the rectangle(A) = xy For the…

Q: Need to find when the concave is down, up and the inflection points.…

A: We find the second derivative first.

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.