-1 0 -6 9- Let D = 4 Find -2D = 2.

Q: -4 =-- 5 %3D 20 7(9+ k) = 70 %3D

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Q: 14. dr/dt = -2tr, r(0) = ro

A: Given query is to find the solution of the differential equation.

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: 25n Evaluating sec will yield to 6 V3 A 2 2/3 B 3/3 © - 2 V3 D 2.

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Q: y = 8e*, on x e [0, 2]

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Q: -5 [1 -3 0 and U =0 If y =-1 -141 find the value of x, from Ux = y. 1 Lo 0 14]

A: multiplication of two matrices with the correct size  Option  d is the correct answer  x1= 1

Q: 1.y" — у' — 2у 3D 7sinh3t — Зcosh3t ; У (0) 3 2, y'(0) = 4

A: The given differential equation is y''-y'-2y=7sinh3t-3cosh3t; y0=2, y'0=4. Calculate the values ys…

Q: 2.) ² - 1) 1 dy (у? —

A:

Q: y" + 2ty' = e* y (0) = 1, Y (0) = -1, with h = 0.5

A: (i)   Modified Euler's method :                                     y' = y'' + 2ty' = et  y(1) =…

Q: 1. Find x, y, and z so that x + y 4x 2y -16 -- y 11 4 Z

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Q: 28. x + 2xy – y +x = 2 (a) At (-2, 0). (b) At (1, 2). y (1, 2) (-2,0) 2 -2 2.

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Q: In Problem,the graph of a hyperbola is given.Match each graph to its equation.

A: Definition used -                   Horizontal hyperbola -…

Q: 12 - y+ ] - dy = |+C

A:

Q: 5. For x2 9, (x-3)* -? x-9 A -1 1. C T-3 I+3 1/3 DE

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Q: (D + 5)x + (D + 3)y = et (2D + 1)x + (D + 1)y = 3

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Q: 4. y = vx +2 %3D x,for - 2 < x< 2 2, for x22 (x-1,for x< -2 5. y=

A: To sketch the graph of the given function and determine the domain and range.

Q: 7. 3x-y 2 and y =- x-11 %3D 9. Y 1-5 and 21 + 81 = 56 4. =D56

A:

Q: 5) /x + y + y² + x² = 18, y'at (0,4 )

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Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....

Q: 3. Compute (+) A. 1 B. -1 C. C.D. - E. i

A:

Q: Match the equations listed in parts (a) – (d) to the graphs in the accompanying figure.

A: Given: a) y=(x-1)2-4  b) y=(x-2)2+2c) y=(x+2)2+2d) y=(x+3)2-2

Q: -6 Let y = ( 5x + . Then dy - A(5x + )" (5 -)". = A 5x + where %3D B = C = D =

A: To find the derivative of y with respect to x

Q: Evaluate -5у-5 dy 31. Jv+2y-4

A:

Q: dr/dt = -2tr, r(0) = ro

A: Solving the differential equation

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: or the DE y' = xy2, y(0) = -1. Then, y(2)=

A:

Q: For Vx - 3 evaluate y when y = 4. O 4 O 4 O-2 O 2

A:

Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law:…

Q: (e) x = = 2y², x = 4 + y² - (f) x = 1 — y², x = y² – 1 32 Answers (a), (b), (c) In 2-1, (d), (e)…

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Q: 2 ƒ² ƒ² (x − 3y²) dydx = −12. - Select one: O True

A: ∫02∫12x-3y2dydx=∫02x-7dx=-12

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

A:

Q: 2. To the right of z = -1.22

A: Given: To the right of z=-1.22 We are asked to sketch the area to the right of the z-value -1.22 and…

Q: 3t when LI 1 ニe then L %3D S- 3 S-3

A: If Laplace transform of the function f(t) is denoted by Lf(t) or F(s), then the Laplace inverse of…

Q: If ƒ(2)=z²+1 then u(x,y) = 3+y² 3- y² + 1 83+y²-1 3- y²

A: Given  f(z) = z2+1 We know that z = x+iy Hence f = (x+iy)2+1 = x2+2ixy+i2y2+1= x2+2ixy-y2+1

Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

A:

Q: у4у? -16у +19 dy (y-2)°

A: This indefinite integral can be solved by the substitution method.

Q: 2. 조우 X*-xy y-3 Find van d

A:

Q: C = lq² + 1 | p, q € Z,0 < p < 1 and – 1< qs -1s95}

A: We will solve the problem

Q: ky + 2y, and suppose that (x, y) changes from (2, 1) to (1.98, 1.02). Az. dz.

A: x + Δx = 1.98 and y + Δy = 1.02 Rest of the stuff is quite simple and straight forward.

Q: Find y". y = 6+ 8 2 3 O A. 6+ x2 X 24 2)2 16 3 O B. 6 + - X 2 6 + - X x2 48 2 3 16 6 + x3 OC. 6 + x4…

A:

Q: a) Evaluate ²₁ √√1-x² √√1-x²-y²e-3(x²+y²+z²)² dz dydx

A: The given problem is to evaluate the given triple integral of Cartesian coordinates.

Q: {6} = I ( (b) T = [4,9) %3D (c) T = [-4,9] -

A:

Q: Зх-1 4x+2' , find a) R , and b) R(x+h)-R(x) x+2, 3. Given R(x) = E) %3D

A: Given: R(x)=3x-14x+2

Q: (b.) ry' + y = 1 In(r), with y(1) = 0

A:

Q: b. y = e-2x @x, = In 2

A: Solution

Q: 2. If x² - xy + y² = 3 find y' and y".

A:

Q: 5. x = (y*/4) + 1/(8y²) from y = 1 to y = 2

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Q: g) Suppose y² + [S(z)]² = 2, then (7,1)

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Q: If xy + 2xy = 8 then at the point (1, 2), y' is Select one: O a. а. b. O c.-1 O d. О е.0

A: Find the differentiate with respect to x at the point (1,2)

Q: 11. (16D³ + 12D²2 – 1)y = 0 ; y(0) = 1, y'(0) = 0, y"(0) = –1

A: