sin 0 Use the relation lim = 1 to determine the limit. tan (11x) lim Select the correct answer below and, if necessary, fill in the answer box to complete your choice. tan (11x) O A. lim (Type an integer or a simplified fraction.) B. The limit does not exist.
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- Differentiate the function. y=³√6-7xIdentify the domain and range of the radical function. Write your answer using interval notation. Enable Zoom/PanDetermine a. (Give your answer as a whole or exact number.) a = x - 8 (b) lim Choose the correct expression for f(x). O x - 8 x- 2 Determine a. (Give your answer as a whole or exact number.) a = 52+h - 25 (c) lim Choose the correct expression for f(x). O x - 2 5* - 25 Determine a. (Give your answer as a whole or exact number.) a = DO O
- Determine the intervals on which the following function is concave up or concave down. Identify any inflection points. f(x) = - 5x* - 20x' + 15 Determine the intervals on which the following functions are concave up or concave down. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) O A. The function is concave down on and concave up on O B. The function is concave up on O C. The function is concave down on Locate any inflection points of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. An inflection point occurs at x= (Use a comma to separate answers as needed.) O B. There are no inflection points for f.Convert. the. function to. a.lincar. Punction: y= 3x² 3.X.A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of time in minutes according to r(t)=25t+2−−−−√, find the area of the ripple as a function of time. Find the area of the ripple at t=2. Enter the exact answer. For the number π, you can either type pi or you can click the button with π on it. Do not enter any commas in your answer. A= __________ in.2
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