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Basic Calculus

Seven Calculus Problems

Please see the attached file for the fully formatted problems. 1. Use an iterated integral to find the area of a region... 2. Evaluate the double integral... 3. Use double integral to find the volume of a solid... 4. Verify moments of inertia... 5. Limit of double integral... 6. Surface area... 7. Triple integral...

10 Calculus Problems

Please see the attached file for the fully formatted problems. Problems involve: parametric equation of line segment, volume of a parallelipiped, sketching a plane gven the equation, finding rectangular equations, center and radius of a sphere using the equation of a sphere, force vector problems.

Calculus

#1 Write an equation of the line tangent to the curve y=f(x) at the given point P on the curve. Express the answer in the form ax+by=c. 1)y=3x^2-4; P(1,-1) 2)y=2x-1/x; P(0.5,-1) #2 Give the position function x=f(t) of a particle moving in a horizontal straight line. Find its location x when its velocity v is zero. 1)x=-1

A related rates calculus problem in regards to a cone.

A waffle cone has a height of 6in with a radius at the top being 1 inch. A spherical scoop of ice cream is placed on top of the cone and melts into the cone. At a particular instant of time, the radius of the ice cream is 3/2 inch and is decreasing by 1/100 in/min. At this same time, the height of the melted ice cream in the