Find fy(r, y) of f(x, y) = x² – 4xy +7y?. A. 4r + 14y. B. -4r + 14y. C. 4r + 7y. D. -4r + 7y. Select one: O A ов O C O D

Q: y= e fonksiyonunun d'y dy 11 + 27y = 27e dr 11z dr?

A:

Q: A = ëx + 3ểy – 2ẻ, B = 4ẽx – ểy Ĉ = -3ẽz – 5ẻ, Ả x =?

A: vector product

Q: Show that r: y = 3. 2n

A: Using two sectant theorem,  ∠n=12x-y  Multiply both sides by 2. ⇒2n=x-y .....(1) Using intersecting…

Q: Find fa, fy, fyx and fy if f(x, y) = x + y + xy ух

A: This is second partial derivative so do the derivative like normal considering all other variable…

Q: Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

A: Given query is to find the derivative.

Q: Clear my choice 4x + 11 dx %3D 11 +c 2x2 4x 11 +c 2a6 4 O 4r + О 4 2x2 11 +c 2x2 4x + 11 +c 6x2 4x +

A: we need to integrate the given function ∫4x3+11x3dx

Q: Find 4rye®y? dA, where R [0, 1] × [0, 2]. R

A: The objective is to find the double integration where  R=[0,1]×[0,2]

Q: Find x if UE = 9x – 3 and NE= 2x + 3 T. U E D is

A: NE=1/2UE. see 2nd step.

Q: dx 19. Evaluate using substitution f V5-4x-2x2

A: I have used method of substitutions

Q: y = √2+7tanz

A: y=2+7tan⁡x

Q: L? + y) da + (x + y?) dy ; C: AB, A = [1,3] → B = [3, 0] C: AB , A = [1, 3] → B = [3,0]

A:

Q: If u = 2x – 3, thenx V2x – 3dx :

A:

Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Find HJ 3x- 1 H I 12 •J -1 + 15x

A: Given problem:-

Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: Find aw av aw - dv 2 y when u = 0, v = 0 if w = x² + x₁ x= u=0, v=0 +,x=6u-5v + 1, y = 6u +2v-6. X…

A: Given that w=x2+yx, x=6u-5v+1, y=6u+2v-6. We have to find the value of ∂w∂v when u=0, v=0.

Q: 6. Find (x + 3y)dA where D = {(x, y) | æ² + y 0}

A:

Q: Find L{6t²e¬4t – e2t cos (V7t)} CoS

A:

Q: A. y(x² + y²)dx + x(3x² – 5y²)dy = 0; whenx = 2,y = 1.

A:

Q: -dx. (3x² + 1)ª Evaluate -1 +C OA. 18(3x² + 1)³ O B, In(3x2 + 1)ª) +C 1 OC. + C 18(3x² + 1)³ x2 +C…

A: Given- ∫x3x2+14 To find- The value of the integral

Q: o Evaluate , S, Só (x – 2y + 2z)dz dydx.

A:

Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

A:

Q: Find ∂w/∂v, if w = 3x4-5y3+z5-10, x = 3u-4v, y=5u+2v, z = u+8v. Write in terms of the two…

A: Chain rule of derivatives

Q: FINO Y = L A. Y = 6x (4) Yo B. C D. Yo [2 Ge 22-x²²0 ct. 86 +38 25² +53-3 -3x 20 -3x 3x 2x [등 -2x 2…

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

Q: d.r. , (- 1) 1,

A:

Q: Find V. (F × G), if F(x, y, z) = 5xi +j+ 7yk and G(x, y, z) = xi+yj – zk. - V. (F × G) =

A:

Q: (2+2x) e4+2² dæ her tonic

A:

Q: dy Given y = x3 In x, is: d.. Select one: a. 3x2 In x + x2 b. r2 c. 3x In x + x³ d. 3x2 In x

A: Using the product rule of differentiation, it can be written that…

Q: Calculate (2x+3y+z)dV where = [1,2] x [-1,1] × [0,1] A. 0 B. 1 C. 4 D. 7

A:

Q: 3x |2y 4y (5х — 20)

A:

Q: dx Find ; a2+x2 Find S x² + Vx – 2 dx Find Sx²e=* dx Find ſ e5x+2 dx

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: Find the product. (2² + y) (3x² – y)

A: We need to find the product of the given expression,                 x2+y3x2-y

Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

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.