Given: z = x² + xy³, x = uv² +w², y=u+ve" Find əz ди when u = 3, v = 1, w = 0

Q: Find the valves of X and in this parallelogram. S+ズカ 13 17 a Sohe for x. b) Sie for y

A: Since opposite sides of a parallelogram are equal, therefore

Q: W= 1-Xy"- Ż Find ニ Wそそ 3 Wzx DWyz (6)W xz 9. 3.

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Q: X=4uv-2u, y= - (uv +8uvw), and Z:9uvw Find acx.y,z) =

A: We have to find Jacobian.

Q: Demonstrate the following relationship involving the dot product and cross product (a) u. (v x W): =…

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Q: If v = 31 - 5j and w = - 7i+ 4j, find 3v - 4w. О А. 37i- 31ј О В. 171-10] О с. - 4i-j O D. - 19i + j

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Q: 3 For V- , evaluate y' when y= 4. A) -4 B) 4 (c) -2 D) 2

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Q: IF x= t +t¯ AND y=tª+t^ y 1. FIND d? a.) a ct +t^) 6.) 2 Ct-ta) ース C.) 2 Ct+ 1- 七ス d.) MOME OF THESE

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Q: a2u a2u 2y дхду a²u )Find du where ax - - axây' ay? u = x3 - 2x2 + 2y3 – 6xy + y ax2

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Q: Vx3y P(x,y) is equivalent to 3x Vy P(x,y). True O False

A: Given that ∀x∃y Px,y is equivalent to ∃x∀y Px,y. To find that the statement is true or false.…

Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

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Q: х — у—1 3y – 3x – 3y (1) = 1 у (1) %3D 1

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Q: general solution to

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Q: ) Differentiate: Y(u) = (u-2+u-³)(u³ + 3u?) и и

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Q: ジ.キウー。 *り6)e o)。 3-

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Q: 20. Let (). ()- u = v = If æu + yv = w. (æ, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2 (D) –1/2…

A: To find the value of x-y from the given vectors.

Q: If X = U+v , y =U-V then Show that + 2 du? = 2) ( %3D nene Than ded uce that wok cu+ v*+ (u+v) g…

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Q: がーツースメど using り o vex) = Eucx) 2) rex) = xu(X)

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Q: Suppose that u × v = ⟨1,0,4⟩. Find (2u−3v) × v.

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Q: 1. If i = [2,-4, −1] and v = [1, −2, 4] find: a) 30-u c) Find G, where F(2, −3, 4) and FG = 3v b)…

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Q: 6 uoi ion V 108r²y³ +xv/ 75y³

A: We have to simplify   √(108x2y3) + x√(75y3)

Q: 9) ZXWY = ZZWY. Find XY. 15 24 Y 21

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Q: Given the graph of the hyperbola choose its only correct implict equation below. 8 (-2, 6) 6. (2, 6)…

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Q: Find J2z Әх у of z = x3 + 5x² у + 6

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Q: * vxu àu = (1,3,-3), v = (4,0,2) ......

A: Let's find.

Q: Suppose Cov(X,Y) = 419. What is Cov(19X, 71Y)?

A: The objective of this question is to find the covariance of the two variables 19X and 71Y given the…

Q: у" — у' — х %3D 0

A: We are given: y'''-y'-x=0⇒y'''-y'=x Auxiliary equation is : m3-m=0⇒m(m2-1)=0⇒m=0, 1, -1 Hence,  CF=…

Q: If ZVWY = XWY and XY = 98, what is VY? W Y V VY

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Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

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Q: A v xu u = (1,3,-3), v = (4,0.2) T......

A: Let's find.

Q: Compute u X v.

A: Here given vector u=-123, v=2-4-6 Now it can be written as u=-i+2j+3kv=2i-4j-6j Thus vector uXv is…

Q: Assume that (U)=110, n(B′)=55, n(A∩B′)=25, and n(A∩B)=27. Find n(A∪B)

A: For any two events A and B, it is known that n(A or B) = n(A)  + n(B) – n(A ∩ B).

Q: If find az/au and az/av. дz/?u = Əz/dv= z = xe", x=u³v³, y=u³+v³₂ (In your answers, do not rewrite…

A: z=xeyx=u3-v3y=u3+v3from chain rule ∂z∂u=∂z∂x×∂x∂u+∂z∂y×∂y∂u

Q: Suppose u = (4, 1, 1) and v = (–4, −1, −3). Then: u + v= Ա υ V= u= 2u= -1/v= 7u - 6v=

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Q: i) j) A В 18

A: We will use mid point theorem and property of parallelogram and to find solution to the problem .