,-(ax²+2bxy+cy²) dædy = e (Hint: Let s = x+By and t = yx+8y, where (ad – BY)² = ac-b². Then ax? +2bxy+cy? s2 + t2.) ас-

Q: 2. Select all of the equations that represent linear functions. Ay I By 2x |3D Cy = 22 2 DY Ey %3D…

A: To find:- Select all options that represents linear function

Q: 8. A snow plow has a maximum speed of 30 miles per hour on a dry highway. Its maximum speed…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the constants m and b in the linear function y = f(x)= mx + b, such that f(1) = -2 and f(3) =…

A:

Q: hich of the following values are solutions of y < 2x + 3? a. (0, 2) only b. (-1, 1) only c. (0,2)…

A:

Q: Solve for the following: a) Var(2X−5) when X ∼ U {1,2,…,20}. b) Var(3X−4) when X ∼ U {1,2,…,30}.

A: Given,X~U(1,2,.....20)minimum value=1maximum value=20f(x)=120-1f(x)=119         ; 1≤X≤20

Q: 15. Prove: If a, b, c, a, and M are constants and M = 0 then ax²y" + bxy' + cy has a particular…

A: Let us solve above problems.

Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: Given f (x) = -a + 3 and g(æ) = 2a? – 5, complete parts (a) through (f). %3D %3D (Desmos) a.…

A: In this question we have to solve given functions.

Q: 3.Eliminate the arbitrary constant on the given equation: asiny - xy-3 = C 4. Eliminate the…

A:

Q: a) y = 3x-2x+1 b) 2x-9y=8 c) d)

A: We will classify given equations.

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: 4. + D = (6-8) m, B-(-8,3) m, and A- (24,1) m find the unknown constants a and ba that aD tbB + A=0…

A: Given,  D=(6,-8)m , B=(-8,3)m and A=(26,19)m . To find the value of a and b such that , a D + b B +…

Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

A:

Q: 1. Solve ,analy hically., the fallowinng differencerequ. a. C- YCK+3) +2 y(km2) +oi45y(k+i) +0105…

A: As you require, we will solve this question on the given difference equation purely analytically.

Q: A tank initially has 100 gallons of brine containing 5 lbs of salt. The mixture is kept well-mixed.…

A: A tank has initially 100 gallon of brine containing 5 lbs of salt and the mixture is kept…

Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: The given equation is y=Aex+Bxex. We have to eliminate the arbitrary constants.

Q: 4) Mr. ABC believes that there has been an increase in the number of tornadoes in city XYZ. The…

A: Given: Equation representing tornadoes per region since 1970 is t=4.5y+250. (a) Substitute 0 for y…

Q: Identify the following relationship as either linear of non-linear: а. 2X + 3Y = 24 b. 4/X + 3Y2 =…

A:

Q: Express E: livenr coumbination of Ÿ; = and V as a

A:

Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

A:

Q: Use the Cayley-Hamilton theorem to find constants a, b 5 (-2 and c such that A4= aA² + bA + cl if A…

A: In linear algebra, the Cayley–Hamilton theorem states that every square matrix over a commutative…

Q: Let a, b and c be real constants. Consider the ODE ay" + by' + cy = 0. hich relationship must be…

A:

Q: 2 f: TR² x R² → R f (x, y) = 1 (2ax₁ y₁ + bx₁ y₂ + bx₂y₁ +2Cx₂4₂) 2 Examine whether the function is…

A: Given :   fx , y =122ax1y1 + bx1y2 + bx2y1+2cx2y2 To check : whether  f(x ,y) is 2 - linear  and…

Q: 3 11. Use the linear equation y =-x – 2 to generate 4 values of y from the given values of x. Show…

A: given linear equation :

Q: Answer the following questions: a) Explain the difference between the word seeing and the word…

A: Seeing means just know that a particular value is true. Doing means make the value true when a…

Q: Two objects, A and B, are moving along two different straight lines at constant speeds. With…

A: Solution: The position of A at time t is 2t-1, 3t+3 and the position of B is 5t-2, 2t+5. If d is the…

Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: Ex 3.7.3: Differentiate each equation. 2x a) y = e²x (2x - 7)5

A: Given Function for differentiation is given as follows Chain Rule formula is given as follows

Q: 18. The amount of sugar in a fermenting batch of beer is 5 grams. It decreases with time at a rate…

A: The amount of sugar in a fermenting batch of beer is 5 grams It decreases with time at a rate of 0.6…