Question
Let R be the region bounded by the graphs of y=cos((pi x)/2) and y=x^2-(26/5)x+1.
A. Find the area of R.
B. The vertical line x=k splits the region R into two equal parts. Write, but do not solve, an equation involving integrals that solves for k.
C. The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Find the volume of the solid.
D. The region R models the surface of a piece of glass. At all points R at a distance x from the y-axis, the thickness of the glass is given by h(x)=5-x. Find the volume of the glass.
A. Find the area of R.
B. The vertical line x=k splits the region R into two equal parts. Write, but do not solve, an equation involving integrals that solves for k.
C. The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Find the volume of the solid.
D. The region R models the surface of a piece of glass. At all points R at a distance x from the y-axis, the thickness of the glass is given by h(x)=5-x. Find the volume of the glass.
Answers
Added spaces for it to let me add the picture.
h t t p : / / g o o . g l / v S l t p
h t t p : / / g o o . g l / v S l t p
what, another area/volume problem?
where do you get stuck? You must have some ideas on how to get started.
where do you get stuck? You must have some ideas on how to get started.
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