4. (-1, 9) x+8y 2 43 4x 7y 56.

Q: / Determine the length of y = (8x + 3)2 from (11)/2 s y s (27)/2?

A:

Q: ² = 3x² + 3y², x = 0, y = 0, z = 2

A: Solution

Q: 1. 2r +3y 5 at (1,1)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1 26. zp- (z+1)° (2z² +4z–34)

A:

Q: 2x+4 %3D の 4 6. %3D 41-

A: Solution is given below:

Q: - y" – 2y" + y' = 2 – 24e* + 40e, y'(0) = }, y"(0) = - y(0) = ;, 9. 2

A:

Q: y"-2y' +24y=3sin(4x) +6cos (7x)

A:

Q: 4х + у + 3z 3 17 x+ 5у +z%3D 14 2х - у + 8z %3D 12

A:

Q: 2r 20. y4y+13y = re² +

A: Here we have to find the general solution of the second-order differential equation…

Q: 3. (4r*y² – 6r²y – 2r – 3)dr + (2r^y – 2r)dy = 0, y(1) = 3

A: The given equation is exact.

Q: 18. y = -- 2x - 4 7x +y 2 19. y = x + 6x x-y= 4 20. y = x + 4r – 15 y 25 x

A:

Q: Solve the system.

A: Solution: Consider the given system : 3p - q = 7       ... (1)-12p + 4q = 3     ...(2)  We have…

Q: y"=4y'+3y=20cosx

A: Since you have asked multiple question, we will solve the one question for you. If you want any…

Q: (8) (4ry + 3y)dr+ (5x²y+4r)dy = 0 µ(r²y³)

A: The solution is given as

Q: Use the graph in Figure to find each of the following:

A: Given: Part a: From the given graph, limx→-2-fx=3 andlimx→-2+fx=3⇒limx→-2fx=3

Q: 6. x- 2y + 2 = 11 3y – z = -43 + 5x 2x + 3z – y = 25

A:

Q: 2 =1+y, y = 26(t – 1) + 4x,

A:

Q: ý +4ý + 3y Y6) = y'(0) = 1 %3D to

A: Given that

Q: 7) y"+4y+20y-23sint-15cost y(0)-0, y'(0)--1

A: We have to solve given problem:

Q: What is? 2x-1=y,2y+3=x

A:

Q: 9y" + 30y' + 25y = 0, and y(3) = 9, y (3) = 3. %3D

A: For the complementary solution consider the quadratic  9m2+30m+25=0 The equation has repeated roots…

Q: y ce + 3r O y'+6y 2t (t+ 1) O y'+2y = / (1+ 6) 3. y'-2y 61 (t- 1) O y'+ 2y = 61 (1 + 1)

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Q: 2.1) Evaluate 4-2r dydr

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Q: 26. 6a - 3d; when a = 1, d = 2 1 12 of 3.

A: In the given question , we have to find the value of  6a-3d When a=1, d=2.

Q: 30.t2y″ + 3ty′ − 3y = 0

A:

Q: Evaluate 40y dS where S is the portion of y = 3x +3z2 that lies behind y = 6. S

A: Draw the surface S.

Q: 2x + 5y+Z= メ+y+2z=L X + 53 = 3 22=2

A:

Q: max z = 2x + 8y s.t Зх + 9y < 45 2х + у 2 12 х, у 20

A:

Q: *5. Consider ry² + x°y = 6.

A: We have to find the derivative

Q: 13. Find x and y. 2y° 4x° (2x + 12)° (y + 6)°

A: Topic :- Geometry  answer :- X=30 and Y=54

Q: (4) y" + 6y' + 10y = 20x + 22; y (0) = 2, y'(0) = -2 %3D

A:

Q: x=3t y=24ヶも 2=3+56 =2+4t, Z = 3+5€ メ-S Z-10 2 2 ニ

A: we have to find the point of intersection of the two lines: L1:x=3t , y=2+4t , z=3+5tL2:…

Q: [a] -(-x)= x [b] (-x)y = -(xy) and (-xX- y)= xy

A: We use The fact that (-x)+x=0 and x*0=0

Q: 38. F = (8xy + 3) + 4(x² + y) 5

A:

Q: -3 8x°y² ' 12x'y* 6.,2 4 17m m m+5 5х-2 13 - x(x-7)

A: To find the LCD

Q: show the complete solution using differential equation

A: As per the guidelines we can solve 1 part only

Q: 1) y" – 10y' + 25y = 8e- y(0) = 1, y'(0) = -4;

A: Follow the steps.

Q: 29.t2y″ − 4ty′ + 6y = 0

A:

Q: 22 O A. y= 3x - 12 O B. y=x+3 с. y= x-12 O D. y= 4x + 3

A: Find the equation of a line from the graph

Q: 4t^2y"+8 ty'+y=0, y(1)=-1 and y'(1)= 3

A: We have to solve the following Cauchy Euler differential equation: 4t2y''+8ty'+y=0. The initial…

Q: 9y"+30y'+29y = 29×^2 - 27x+44 ; y(0)=2 , y'(0)=-3

A: Given that  9y"+30y'+29y=29x^2-27x+44  To solve the differential equation

Q: 8у-1 dy 3. Jo 2y² –15y-8

A:

Q: 3. (4, 6) and (0, -2) Y2 m X,- X,

A: we have to find m

Q: 4. If RSTU is a rectangle with RT = 5x-14 and US = 2x + 10, find x. S R U T

A: We have to find value of x? Given: RT=5x-14 &amp; US=2x+10

Q: -48 36x y 6. 12y' ³ 53 - 4 pq°r 8. 8p q*r 2 210

A:

Q: What is the value of x2 + 2y ÷ 2w +

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Q: d) 2x + y+z=2 X - y +z=7 2x + 2y +z= 4

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 28.t2y″ − 4ty′ − 6y = 0

A:

Q: зв. | Evaluate ф. - dz where C:z-2| = 2. (z³ – 5z² +8z –4) 3

A: