A.
- There are no critical points because the graph is neither continuous nor smooth. There is a discontinuity at x = 2.
B.
- The absolute maximum is f(lim⇒-2_-) = infinity. The absolute minimum is f(lim⇒-2_+) = -infinity. This applies to the interval [-10, 7].
C.
- The absolute maximum is f(5) = 26/7 or 3.714. The absolute mimimum is f(0) = 1.75. This applies to the interval [0, 5]. Proof: graph f(x) at [0, 5] on a graph or graphing calculator.
The formula for volume of a cone is V=(1/3)*h*π*(r^2)
our height is 7.5 feet, and since the length of the base of the cone (diameter) is 22 feet long, the radius is 11 feet long.
(1/3)*7.5*π*(11^2)=302.5*π=950.3
so the volume of the house is about 950 feet cubed.
Answer:
552
Step-by-step explanation:
Answer:
745.5
Step-by-step explanation:
To answer this question we need to find the perimeter and multiply it by three. To do that we can start by adding 85 yards plus 85 yards for both sides of the rectangle which equals 170. Then we need to add the circumference of the semicircles. To do that we can use the formula C = 2(3.14)r. for that we need to find the radius which is the diameter divided by 2 which is 12.5. Then we can plug that into the formula to get C=(2)(3.14)(12.5). After solving that we get 78.5 which we can add to 170 to get the perimeter which is 248.5 . However we are NOT done since jasmine is running 3 laps we need to multiply 248.5 by 3 to get an answer of 745.5.
