Find the particular aolution of the differential equation with the initial condition given below. dy/dx = 3-2x?y=- 2 when x = 0 O a. y= 3x- (2/3)x3 +2 O b. y= 3x-(2/3)x-2 O c. y= 3x- (2/3)x + 4 O d. y= 3x-(2/3)x-4

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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Find the particular solution of the differential equation with the initial condition given below.
dy/dx = 3-2x2
¡y -2 when x = 0
O a. y= 3x- (2/3)x + 2
Ob.
y 3x- (2/3)x3 - 2
O c. y= 3x- (2/3)x+ 4
O d. y= 3x-(2/3)x-4
A rock thrown downward with an unknown initial velocity from a height of 1000 feet reaches the ground in
5 seconds. Find the velocity of the rock when it hits the ground.
O a. -145 ft/sec
O b. -214.5 ft/sec
Oc.
-180.25 ft/sec
O d. -280 ft/sec
Transcribed Image Text:Find the particular solution of the differential equation with the initial condition given below. dy/dx = 3-2x2 ¡y -2 when x = 0 O a. y= 3x- (2/3)x + 2 Ob. y 3x- (2/3)x3 - 2 O c. y= 3x- (2/3)x+ 4 O d. y= 3x-(2/3)x-4 A rock thrown downward with an unknown initial velocity from a height of 1000 feet reaches the ground in 5 seconds. Find the velocity of the rock when it hits the ground. O a. -145 ft/sec O b. -214.5 ft/sec Oc. -180.25 ft/sec O d. -280 ft/sec
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