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Find the critical points of the function and determine whether the critical point is a local minimum or maximum (or neither). (Enter your answers as a comma-separated list. I answer does not exist, enter DNE.)
f(x) = 8x2 - 9x3 + 3
Find the points of inflection of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Determine the intervals on which the function is concave up or concave down. (Enter your answers using interval notation. Enter EMPTY or 0 for the empty set.)
Water is pumped into a sphere on the figure below at a variable rate in such a way that the water level rises at a constant rate c = √3. When the water level in a sphere of radius R is h, the volume of water is V = π(Rh2 - h3/3).
What is the inflection point for V?
The quality control department checks 340 CD players and discovers 12 of them are defective. What is the probability that a CD player is not defective?
Using the following integral and the facts that v(t) = x'(t) at time t of an object moving along the x axis is given, along with the initial position x(0) of the object. Answer the questions a - c.
At what points of the curve x = a(t - sint), y = a(1 -cost), z = 4acos(t/2) does the radius of curvature take its local maximum?
Show that x = 0 is a regular singular point. Find two linearly independent solutions about this point using the Frobenius Method. Find the first four non-zero terms of two linearly independent solutions y1 (x) and y2 (x) .
Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 12 cm/s, find the rate of change of the radius when the radius is 18cm.
Construct a Punnett square to describe the genetic possibilities for a child whose two parents are carriers of cystic fibrosis. What is the probability that this child will have the disease, be a carrier, or be normal
Assume that the spinner cannot land on a line. Determine the probability that the spinner lands on (a) red, (b) green, (c) yellow, (d) green. The spinner is divided into 8 halves. There are (a) red = 4, (b) green = 1, (c) yellow = 1, and (d) blue = ..
Essay on the applications of Differential Equation to Petroleum Engineering. Applications include on the site of drilling, in the class room, and in the field of petroleum engineering in general.
Q. solve using simplex method, Hence using the sensitivity analysis, find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15
A radio transmission tower is 480 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 25o with the ground? How many feet long should the guy wire be? Round your answer to the nearest foot and do not write the uni..
The cost in dollars for removing p percent of pollutants from a river in Smith County is C(p)=68800p/100-p Graph this function on your calculator. 1.Find the cost of removing 20%.
Find how fast temperature is changing for the bug after 2 seconds if the temperature function satisfies Tz(√3, -8) = 3 and Ty(√3, -8) = -1. Provide a graph of the bug's position during the first 6 seconds.
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