Part A. Evaluate the following limits using L'Hospitals Rule, algebraic manipulation, logarithms, or any combination thereof. Show complete solutions. Evaluation techniques using calculator would represent incomplete solution and thereby marked as NO CREDIT or ZERO. ex -e 2x 01. lim,»o 4sinx 2tan 'x – x 02. lim,→o° 2x – sin'x -2ln(cosx) 03. lim, »o x?

Q: A function (f) is given by the formula f(x) = A*e^kx for constants (A) and (k). We also know that…

A: Function is of the form f(x)=Aekx and f(3)=12 and f(4)=7.

Q: If a population of bacteria is modeled by the equation p(t) = te^−t^2 million bacteria, with t in…

A: Given, Population of bacteria is modeled by the equation, pt = te-t2  million bacteria When the rate…

Q: > Use the Table of Integrals to find the following antiderivatives. Be sure to cite the Formula…

A:

Q: Let the function C represent the drug concentration in mg/ml of a certain drug at the time t (in…

A: Given: A function C represents drug concentration is given by C=16.2te-0.25t. To Find: Graph the…

Q: If a> 1, then the graph of the function f (x) = a^x increases as x ? a. remains constant b.…

A: Given: If a> 1, then the graph of the function f (x) = a^x increases as x ?

Q: find

A: Log 10 base 10=1

Q: Suppose the function f(t)=125000e^-0.103t gives the population of a city t years since 1970.…

A: Given that, Function of population of a city since 1970 is, f(t) = 125000e-1.103t where t is in…

Q: Use a graphing calculator to find f'(x) when x has the given value. f(x) = x^; x= 2

A: Given,           fx=xx3 ; x=2

Q: Calculate f(10^-2) for the function f(x) = e^x - x -1. The answer should have five significant…

A: The given function,

Q: In a given community, the number of thousands of people infected with a strain of flu t weeks after…

A:

Q: An electric company uses time-of-day pricing to encourage cus- tomers to use electricity during…

A: A linear equation is a equation with degree equal to one. A degree in a equation is the highest…

Q: If f(x)=10e^x, what is the value of f(2)? Round the answer to three decimal places

A: Here we use Taylor's polynomial to approximate this value :

Q: Plot on the same x axis, y = 10 e^-2x and z = cos(0.0005x^2) + 0.1/√x for 0 ≤ x ≤ 100. Make a graph…

A: Given: Plot on the same x-axis, y=10e-2x andz=cos(0.0005x2)+0.1x  for  0≤x≤100Make a graph with…