Limits & Continuity Questions

A cell culture contains 12 thousand cells, and is growing at a rate of r(t) = 2e0.18t thousand cells per hour. Find the total cell count after 3 hours. Give your answer accurate to at least 2 decimal places. thousand cells

Find the pattern in the sequence and determine the 41st term. 21, 26, 25, 30, 29, 34, 33, 38, ...

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers

Suppose you deposit $1000 at 4% interest compounded continously. Find the average value of your account during the first 3 years.

Find 16.5 5x 6x +4 dz

4. Extra Credit. (10 Points.) Consider the problem of solving for functions u(x, y), defined on x² + y² ≤ 1, such that (i) Au = 0, and (ii) u = 0 at all points in the boundary x² + y² = 1. Show that

In Exercises 87-92, find the difference quotient and simplity S Slon your answer. 88. g(x) = 3x - 1, C c#0 - g(x + h) = g(x) him h #0 2009072

Determine the tax free Roc, capital Gain, Dividend, End basis, End basis shareholder basis= 130,000 AAA= 450,000 E&P= 350,000 Distribution=300,000

Consider the angle depicted in standard position below. P(-7,9) Use the figure above to determine the following. Give exact values. (x,y) : ( y (a) cos(0) = (b) The coordinates of the terminal side of

Date: Period Calculus AB Use the rectangles in the following graph to approximate the area of the region bounded by 4 y=y=0, x= 1, and x = 4 Round your final answer the nearest thousandth, square

Find the values of a and b such that the following function 4a cos(x + 3)- b. 2x+5, if x < -3, f(x) = -4, if x = -3, ax² + bx - 7, is continuous at x = -3. Justify your answer by the definition of the

Find the average value ha of the function h on the given interval. ave have = h(u): 12 In(u) U (3.78656) [1, 7]