Unit 5A Flashcards
What is the equations for a volume of a cylinder and when do you use it?
v=pir^2h
when your rotating around something
The area of the region between the graph y = 4x^3 + 2 and the x axis rom x=1 to x=2 is…
int from 1-2(4x^3+2)dx
it gives you 17
What is the equation for the shaded area between f(x) (on top) and g(x) (on bottom) from a-c
int from a-c(f(x) - g(x)) dx
A region in quad 1 is bound by y = 4-x^2 set up equation for volume and do not solve for:
a. rotate around y axis
b. rotate around x = -3
c. rotate around x = 3
d. rotate around x axis
e. rotate around y = -5
f. rotate around y=5
a. int0-4 pi(sqr4-y)^2dy
b. int0-4 pi((sq4-y)^2 + 3^2) dy - int0-4 pi 3^2 dy
c. int0-4 pi 3^2 dy - int0-4 pi(3^2 - (sq4-y)^2) dy
d. int 0-2 pi(4-x^2)^2 dx
e. int0-2 pi (4-x^2)^2 + 5^2 dx - int0-2 5^2 dx
f. int0-2 pi5^2dx - int0-2(5^2-(4-x^2)^2)dx
Let r be the region bounded by the graph of y1 = 6e^-0.2x and y2=sqx and by the vert lines x = 1 and x=4 find the volume when x is rotated around the x axis,
int1-4 pi y1^2dx - int1-4 pi y2^2 dx
a. The shaded region r is bound by y=x^2 and y = 4 find the area
b. revolve around the x axis
a. int-2-2( 4-x^2) dx = 10.66
b. int-2-2 pi(4^2) dx - int-2-2 pi (x^2)^2 dx = 160.849
When do you use volume of rectangular prism and whats the equation
lwh and when your finding the area (NOT ROTATING)
a. What is the equation for Simpsons rule
b. what is the order of numbers timed by
c. and what do you multiply those numbers by
a. 1/3h(all the other stuff)
b. (1 then 2 then 2 then 4 then 2 … till the last one that is timed by 1) -that is all the other stuff
c. the y values
a. sin pi/2
b. sin 0
c. cos 0
d. tan 0
a. 1
b. 0
c. 1
d. 0
Given inta-b f(x) dx = 12 and int b-c f(x) dx=8 then what does int c-b f(x) =? and intc-a f(x) = ?
-8
20
Look at review redo those problems
DO IT
