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Given the function f, evaluate f(-1), f), f(2), and f(4). Sx²-3 if x < 2 f(x)...
Evaluate the function for the given value of x. 1-2x-5, {/x-7). for x<-1 for -1 <x<1 for x21 19, Find f(-1) undefined -8. -3 8.
The velocity of truck (in miles per hour) is given by v(t) = 4(t)^3/2 + 4/t - 3, where t is in hours. a. Write a definite integral for the distance the car travels between t = 1 and t = 3. b. Sketch a graph of velocity against time and present the distance traveled during t = 1 and t = 3 hours as an area on your graph. c. Use Fundamental Theorem of Calculus to find this distance.
Graph the function f ro -2<x<0 f(x) = +1 O 5x<1 1 1 sx<2 Find the Fourier series of fon the given interval. Give the number to which the Fourier series converges
Given the following piecewise function, evaluate f(-5). I < -4 f(x) = . 1-42 -3x (x² – 2 -4 < x < 0 0<x
Q1 Question 1 2 Points Find the inverse of f-1 of the function f(x) =1+1, 2 > 0. of'() = -1 of '(x) = -1 of '(x) = Of-l does not exist
Evaluate piecewise-defined functions Question Given the following piecewise function, evaluate /(-4). - 4x + 3 f(x) = x < 0 Osr<3 3S 2? + 2 Do not include "f(-4) =" in your answer. Provide your answer below:
Evaluate the function for the given values of x. (-5x+4, for x<-1 x) = ), 2 + 3 1, for -1 5x</ 2 for x (a) f(-1): (b) f(3)
Evaluate 7 Stdx +3 2) Sierda *) we taaperoid moule to approssimate 3) sx + 2 2 - 7x+6 Sede m=4 Value of the function 5 Find the average f defined by f(x) = (x - 7² [2,5 6 find c such that of average value = ft) 16 evaluate sint cose dy 77 cont 2 x + 4 find the area of the region between x=0 and x bonded by 2= π
1. Find the derivative of the function y (x) , showing all steps used 2. Find the derivative of the function y(x)In x), showing all steps used. 3. Show that sin(x) 1- (sin(x) cot (x))2, showing all steps 4. Evaluate the following integral:珓 1-cos' (x) cos(x) dx, showing all steps. 5. If the rate at which a car's position is changing is given by the formula0.3t2 - 2.0t +100, where x is in meters and t is in seconds, find...
x if x>3 if 2<x<3 if x < 2 Given the following piecewise function: f(x)={-x |-0.5x if it exists. h Find lim f(2+h)-f(2) -0+