Question 20Which of the following is NOT true about the linearity of differential equations?A. Which of the following is NOT true about the linearity of differential equations?B. The degree of the linear differential equation is always 1.O C. The linear differential equation contains trigonometric function of the dependent variable.O D. The linear differential equation contains product of the dependent variable and its derivative.O E. All of the ChoicesOF. None of the Choices

Degree of the differential equation is always 1 because if degree is more then 1 then we get product…

Answered: Which of the following is NOT true…

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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Q.13 The upward velocity of a rocket can be computed by the following formula: mo v=uln- gt mo + qt where v = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, m, = the initial mass of the rocket at time t = 0, q = the fuel consumption rate, and g = the downward acceleration of gravity (assumed constant = 9.81 m/s²). If u = 2000 m/s, mo-150,000 kg, and q-2700 kg/s, compute the time at which v=750 m/s use the Newton-Raphson method within approximate relative error 2%. (Hint: t is somewhere between 10 and 50 sec.)
Newton's law of cooling relates the rate at which a body cools to the difference in temperature between the body and the environment into which it is introduced. The formula is F(t) = To + Cb¹, where F(t) is the temperature of the body at time t, To is the constant temperature of the environment into which the body is introduced, and C and b are constants. Use Newton's law of cooling to solve the problem below. A cup of coffee has cooled from 98° to 50° after 15 minutes in a room at 23°. How long will it take to cool to 30°? It will take approximately minutes. (Round to the nearest integer as needed.) (...)
Construct scatter diagram using the data table to the right. This data is from a study comparing the amount of tar and carbon monoxide (CO) in cigarettes. Use tar for the horizontal scale and use carbon monoxide (CO) for the vertical scale. Determine whether there appears to be a relationship between cigarette tar and CO. Construct a scatter diagram. O A. ACO 20 16- 125 8- 4- Tar 0-> 0 4 8 121620 Q O B. ACO 20- 16 12 # 8- 4 H HOHHO PAMIN Tar 0- -> 0 4 8 121620 (...) O C. ACO 20 16- 12- 8- 4- 04 Tar 0 4 8 121620 Q Tar 16 15 1 15 5 col со 85161167 O D. 10 18 기 14 ACO 20 16 12- Tar 10 8 8- 4- 0- 0 4 8 121620 Tar со 11 12 18 15 Full data set Tar 2 9 6 10 17 со 11 7 11 16
An object thrown upward from the ground falls to the ground after k seconds. Which of the following is false? The object's acceleration upon hitting the ground is equal to -g m/s², where g is the acceleration due to gravity. O The object's velocity upon impact is equal to v(k) m/s. O None of the given choices. The object's velocity at t = 1 k is equal to zero. 1 The object reaches its maximum height -k seconds after being thrown.
3-76. Solve for the indicated value. Leave your answer in exact form. a. x = b. mLC = A 6 B 5 b. m²B = 5 B 4 C C 3-77. Given f(x) = x³ + 1 and g(x) = (x + 1)²: A 3 B d. a = A 6 B 10 a 30° C C 76 bets12sinl ICE AMA 1585 107.51-8
List the values for L such that the function y = cos(Lx) is a nontrivial solution for the ODE 4y + y = 0. 2,-2 O 2,0 O 0,-2 2,0,-2
You place a tray of 60°F water in a freezer that is set at 0°F. The water cools according to Newton's Law of Cooling T (t) = T, + (To – T;) e¬kt where T is temperature, t is the number of - hours the tray is in the freezer, T, is the temperature of the surrounding air, and To is the original temperature of the water. The water freezes in 4 hours. What is the cooling constant, k? (hint: water freezes at 32°F Round your answer to the nearest hundredth.

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