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

Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

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

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Q: Let u = 2i – 8j and v = 4i + j. Are u and v perpendicular? Why why not? %3D or

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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: Suppose that u · (vxw) = 47. Find u. (wxv). u. (wxv) = i

A: Given: u·v×w=47To find:u·w×v

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: dx Evaluate: a) - x² +4x + 20

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Q: 11 a) Cari nilai dy dengan nilai x yang diberikan. dx Find the value of given the value of x. de i)…

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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: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

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Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: Given u = (-2, 4) and = (1, 6), find 3(uw).

A: The vectors are given by u→ = -2, 4w→ = 1, 6 To evaluate: The value of 3u→·w→

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: Calculate the length of the astroid of x2/3 + y2/3 = R2/3 for R = 2. -R R -Rt +x R

A: To calculate the length of the asteroid of

Q: If u = eª₁x+₂y+a, where a₁, a2, a3 are constants and 2² u J² u 2² u + = U. a² + a² + a² = 1. Show…

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Q: Show that ! fransform fix into It fn, linear "difference equation: equadion: SkH= +1. JKH

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Q: VXVYP(x,y) is equivalent to VyVxP(x,y). O True O False

A: ∀x ∀y Px, y is equivalent to ∀y ∀x Px, y.

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

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Q: 2-32 FIND dw

A: The expression w=z5-3z3z2+z. We have to find dwdz.

Q: Given u = r² cose and v= = rsin²0, please write down the expression of ər 3 and 3 ди by (r, 0)

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

A: Let's find.

Q: 400 %3D

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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: 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 .

Q: fun=-x-+9, -4Eメと3 ミラメラムー absolute max ond Min? value and Occurs メ=? Grapn =?

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Q: Find mZT. 3-/2 S R mZT = ト 3.

A: Solution-  In the given figure (for angle S)  Hypotenuse is = 3√2 Adjacent = 3 So formula is given…

Q: Consider ỹ,,y2, ÿ,ER³ and that y,+y,+y;=0. For Î=span{ ỹ,,y} and Y=span{ỹ2, y, show that Î=Ỹ.

A: Given  that  y→1, y→2, y→3∈ℝ5 and that                   y→1+ y→2+ y→3=0→. and           Y^=spany→1,…

Q: А — В Given that A = 3+j4, B = -5230, C = e¬¡m, determine:

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