eloperWindowHelpOuContent-9269_1/cl/outlineions2.1For f(x) = x² + 4x – 2, find f(2), f'(2), and f(3) - f(2).|a. f(2) =b. f'(2) =c. f(3) - f(2) =Get Help:VideoеВook

For f(2) , we put x=2 in f(x). Follow step 2nd .

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Given dy/dx=(x^2-3xy^2)/(3x^2 y-6y^2-1) and f=∫(3xy^2-x^2 )+g(y) ; y=constant , determine the function f.
Solve using Integrating Factor by Inspection. Do not use Exact Method. Show Complete Solution. xy(y^2+1) dx+(x^2y^2-2)dy = 0; when x=1, y=1 Ans: x^2(y^2+1)=2+4lny
Solve the following equation. Note: the integrating factor must be x^-3 A. x^3 y=1/2 x^2+C B. 1/2x^2+C C. x^-3 y=1/2 x^2+C
Choose from the choices below. Show complete solutions
A drone, flying at a constant altitude, is designed to monitor an industrial area for signs ofillegal emissions and toxic leaks. Environmentalists studying the area have determined thatthe concentration of pollution (in parts per million) above an emission site, at the altitudewhere the drone is flying, can be modeled byP(x,y)=e-(x^2+2y^2)/10000where x and y are measured in meters, in a rectangular coordinate system, with the sourceof pollution at the origin. When the drone detects pollution on its patrol, it changes courseand travels in the direction in which the concentration of pollution particles increases mostrapidly.(a) Sketch several level curves of the pollution function, along with a possible path that thedrone will follow to the source.(b) Suppose that the drone is located at the point (a, b) when it detects the presence ofpollution. Find an equation describing the drone’s path to the source.
Please show full work
I don't understand why T'+(a^2)*k=0 is equal to (c3)e^k(n^2)(pi^2)t+c4(e^-k(n^2)(pi^2)t).Can you please explain it to me. Thank you

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eloper Window Help COU Content =9j269j_1/cl/outline ions 2.1 For f(jx) = x² + 4x – 2, find f(2), f'(2), and f(3) - f(2). a. f(2) = b. f'(2) = c. f(3) - f(2) = Get Help: Video еBook