2. [-/0.33 Points] DETAILS SCALCET8 4.4.002. MY NOTES ASK YOUR TEACHER Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 x- a x - a x- a lim p (x ) = 00 lim q(x) = 00, x- a x - a evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [f(x)p(x)] x- a (b) lim [h(x)p(x)] X- a (c) lim [p(x)q(x)] x - a27. [-/0.33 Points] DETAILS SCALCET8 4.7.032. MY NOTES ASK YOUR TEACHER A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible volume of such a cylinder. 28. [-/0.33 Points] DETAILS SCALCET8 4.7.036. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A poster is to have an area of 210 in with 1 inch margins at the bottom and sides and a 2 inch margin at the top. Find the exact dimensions that will give the largest printed area. width in height in 29. [-/0.33 Points] DETAILS SCALCET8 4.7.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 16 inches, what diameter pizza will reward you with the largest slice? in Need Help? Watch It1. [-/0.33 Points] DETAILS SCALCET8 4.4.001. MY NOTES ASK YOUR TEACHER Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 x - a X- a X- a lim p(x) = 0o lim q(x) = 0o, x- a X- a evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim f ( x ) x-a g(x) (b ) lim f ( x ) X - a P(X) (c) lim h( x) X - a P(X) (d) lim P ( x ) X- a q(x) Need Help? Watch It14. [-/0.33 Points] DETAILS SCALCET8 4.4.051. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit. Use I'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim 7x x - 1 x - 1 In (x ) Need Help? Watch It 15. [-/0.33 Points] DETAILS SCALCET8 4.4.055.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit. Use I'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim (3x - In(x) ) x -+ 00 Need Help? Watch It Master It24. [-/0.33 Points] DETAILS SCALC ET8 4.7.021 . MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the point on the line y : 3x + 2 that is closest to the origin. (xly)=( ) Need Help? _ Submit Answer 25. [-/0.33 Points] DETAILS SCALCET8 4.7.025. MY NOTES ASK YOUR TEACHER Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. width units height units Need Help? _ 26. [-/0.33 Points] DETAILS SCALCET8 4.7.026. MY NOTES ASK YOUR TEACHER Z 2 Find the area of the largest rectangle that can be inscribed in the ellipse L + L = 1. a2 b2 Need Help? _ 8. [0/0.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.4.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit. Use I'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim tanh(x) x- 0 tan(x) DNE X Need Help? Watch It4. [0/0.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.4.013. MY NOTES ASK YOUR TEACHER Find the limit. Use I'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim COS (X) X - (7/2)+ 1 - sin(x) X Need Help? Watch It