presented in the Assignment Guide. 1. Complete the table below. Order Degree Ordinary or Partial Linear or Non- Linear Independent Variable Dependent Variable y' = x +6y y" = 4y +y3 (d²y' dy dx2 + 3 = 0 dx y" +2xy' +4y = cos2x x² –1 dy dx y+4 aw du + " + " = 0 ax ду az a²u = C ax2

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Find the regression line for the data points. y 1 2 5 8 4 13 %3D

A: Given : x y 1 2 2 5 3 8 4 13

Q: 3. Equation of the line that passes through the points (2, 3) and (4, 1).

A: Given points (2,3) and (4,1) We have to find equation

Q: 22. :-29-23²-x²y + 16 z = 2Y

A:

Q: 3. Where is the y-intercept of the equation y = (x- 2)^2 8? O (0, -8) O (0, 8) CCla O (0. -4) O (0,…

A:

Q: Differentiate the followings. (x+ (i) y =

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Q: 5. Which of the statements is Not a function.

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Q: the average rate of change 5/-3  greater or less than the rate of change of the linear function…

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Q: Time and Bacteria Count

A: Given data is Number of hours, x Number of bacteria, y 1 165 2 281 3 469 4 778 5 1315…

Q: Which pair of data points are always on the regression line: Y = a + bX? ○ (0, 0) (0, b) (X, Y)…

A: the equation is given as Where a is the y-intercept, and b is the slope of the regression line.

Q: The line of best fit through a set of data is y = 60.638 0.836x According to this equation, what is…

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Q: The line of best fit through a set of data isy=17.985−1.182xy=17.985-1.182x According to this…

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Q: What is the equation in slope-intercept form of the ine that passes through the point (2,-2) and is…

A: To find The equation in slope intercept form of the line that passes through the point (2,-2) and…

Q: Find * 1 y" if y =-(x -3x)

A:

Q: Which of the following is the equation of a line tangent to the graph of f(x) = x* + 1 and parallel…

A:

Q: Obtain characteristics y² Uxx + Uyy = O

A: Given equation is  y2Uxx+Uyy=0 Now comparing with  AUxx+BUxy+CUyy=0 We have A=y2, B=0, C=1

Q: The equation implies that y = 50.8 + 8.28x

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Q: a. I and IV b. II and III c. III and IV d. I, II, III, and IV I. II. III. IV. y = 3x - 6 y = x y =…

A: Given equations:- y=3x-6 y=23x y=-x y=x+1

Q: In the regression model Y, =a, +a,X, +a,D, +a,(X,*D,)+u, %3D X is a continuous variable and D is…

A: Given information: The regression model is as given below: In the above regression model, X is a…

Q: 3. Why can you not use the power rule to differentiate y = e*?

A:

Q: What is the relationship between the number of minutes per day a woman spends talking on the phone…

A: Solution

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A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 7. For the data in the following table, assume that the dependent variable changes linearly with…

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Q: 2. If f(x) = 1+ x2, find fof. * %3D A. 1+ x2 + x4 B. 2 + 2x2 + x4 C. 2 + x2 D. 1 + x4

A:

Q: If the value of bo is negative, then the relationship: will not cause any impact to y values…

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Q: 6. y = V2x – 3x . Find y'" -

A:

Q: I need help with finding constants and coefficients for the equation of y hat. Please make sure to…

A: Using excel:We will get the value of coefficient:ŷ=86+(-16)x1+2.42x2+1.83x3+3.07x4

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A: Topic = Derivative

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A: Provided data is ;  Sales(y) Amount spent in advertisement(x) 260.3 5 286.1 7 279.4 6…

Q: The correlation between X and Y is r = 0.35. If we doublw each X value, decrease each Y by 0.20, and…

A: Introduction Correlation shows the association b/w 2 variables.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.