Chapter 9, Problem 30RE

pls help

5-142. thanks

An object was left in a room of unknown surrounding temperature. The temperature of the object was summarized below with respect to the time f (in minutes) the object was initially observed. • When t = 0, the temperature of the object is 23 degrees Celsius. • When t = 10 minutes, the temperature of the object is 27 degrees Celsius. • When t = 20 minutes, the temperature of the object is 30.2 degrees Celsius. In minutes, when will the object have the temperature 40 degrees Celsius? Assume the system obeys Newton's Law of Cooling and the surrounding temperature of the room did not change. Put your answer accurate up to four decimal places. No need to put in the units of measurement.

K. 3 Please show all work/steps

_1 Which of the following is an exponential function? а) у - х b) f(x) = x² c) y = 22 d) f(x) = 2* _2 What does it imply when the graph of f(x) = a* is asymptotic to x axis? a) The graph's trend increases to the left of the y – axis. b) The graph's trend decreases to the left of the y – axis. c) The graph's trend decreases to the right of the y – axis. d) The graph's trend can either be that of a growth or decay function. _3 What will be the behavior of the graph of an exponential function if the y intercept is at (0, 2)? a) The graph follows an exponential growth. b) The graph follows an exponential decay. 4 The formula for the Richter rating of a quake is given by R - logQ. You have a seismograph set up at home and see that there was an event while you were out that had an intensity of Q = 989. A Richter rating of 4 or more means a moderate quake occurred. Which of the following is TRUĚ given the situation? a) The intensity of 989 is the result of a strong quake. b) The intensity of…

(part 1 of 4) Find the nth-derivative, f(n), of f(x) e2x+4. 1. f(n)(x) 2. f(n)(x) 4. f(n) (x) 5. f(n) (x) 1. T3(x) 3. f(n)(x) = — - ²x- n! e²x+4 2. T3(x) 3. T3(x) - = 6. T3(x) = = = = 6. f(n)(x) = n! e²x+4 = (part 2 of 4) Find the degree three Taylor polynomial T3 centered at x = 0 for f when f(x) In(3 – 4x). 2n2x+4 n! = n! 2ne2x+4 2ne²x+4 4 = In 3- col e²x+4 3x 5. T3(x) In 3 4 4. T3(x) = x ₁ -x + T 4 -X 3 8 4 In 3+x 3 9 8 4 =x + 3 4 8 3⁰⁰ ∞ 18 + =x² + 8 9 64 81 8 2 64 8 81 -x3 n3 64 81 3 64 81 23 32 81 تر 64 81

Estimate f'(-12) using the data in the table. x -13 -11 -9 -7 f(x) 1.02 1.05 1.12 1.14 0.015 O 0.15 O 1.5 O 15

If sales N(x) are expressed as a function of the amount a spent on advertising, then the dollar amount at which N' (x), the rate of change of sales, goes from increasing to decreasing is call the [Select] If d is that dollar amount, then (d, N(d)) is [Select] ✓ of N(x).

4. The depreciation of a new boat can be described by f (x) many percent does the boat depreciate each year? = 650,000 · 0.85*. By how b) Depreciation of a machine can be described by the function f(x) = 40,000 * 0.8*. How many percent is the annual depreciation?