For Exercises 19–24, perform the indicated operations for v = (-8, 0) and w = (5, -3). 19. v + 3w 20. ||v + w| 6. 21. 5 --W 22. 8v 10w 23. v. w 24. (v•v)w

Q: Let fx,y) = 1– 2x* + 6y?. Then, 8,(1, 1) – 35,(1,1) =? .

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Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

A: Disclaimer: Since you have asked a question with multiple sub-parts, we will solve the first three…

Q: 71. r(и, v) — 4ui + (Зи — v)ј + vk 0 < u < 3, 0 < v < 1

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Q: Let X- Unif(4, 10). a. Calculate P(X 1). Prob = C. Assuming that 4 SIS5, calculate P(X <t|X< 5).…

A: X~ Uniform(4, 10) a) P(X&lt;5)=x-ab-a=5-410-4=16=0.1667 Therefore, P(X&lt;5)=0.1667

Q: Given f(x, y, z) = v- 5x – 3y – 4z, find fa(x, Y, z) = f,(x, y, z) = f:(x, y, z) =

A: Given,          fx,y,z=-5x-3y-4z

Q: Suppose that V f p = (2, -4, 4). Is f increasing or decreasing at P in the direction v = (2, 1, 3)?

A: Given ,  ∇fp=2,-4,4    v=2,1,3

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A: A non-empty subset F' of a field F is a subfield of F if F' is closed with respect to the…

Q: Let f(x, y) = 9e2xy what is fxyx (x, y) =? %3D Select one: O a. 72ye2xy + 72xy²e2xy O b. 36хуе2у +…

A: Given: f(x,y)=9 e2xy ; To find the value of fxyx(x,y)=?

Q: M/2 z/w = /w W%3D

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Q: If "u" varies directly with "v," and u = 6 when v = -7, what is "u" when v = 4? Enter the number…

A: u varies directly with v  u=6 when v=-7 To find u when v=4.

Q: For Exercises 66–68, find the indicated value. a. v. w b. v. v 66. v = (12, 8), w = (-3, –5) 1 8 3…

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Q: Assume that u- v = 8, ||u|| = 1, and ||v|| = 10. What is the value of lu- (9u – 8v)?

A: To get the values, first simplify the expression in such a way that you can use the given values.…

Q: If (x, y) > (x+3, y-7) maps TUVW to T'U'V'W', what is the algebraic description that will map…

A: x, y→x+3, y-7 maps TUVW to T'U'V'W'. That is, the x-coordinates of T, U, V and W are added by 3…

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Q: Let X=(1,0, – 1, - /2)'. Then, ||X||, =| Select one: а. -1- V3 b. -V3 O C. 2 +/2 d. -V2

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Q: 'll go, assuming that you go. [I, Y] A ( כ Y) B (I v Y) (c) (Y v I) D (Y = 1)

A: I will go, assuming that you go. [I,Y]

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

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A: Given: u=(u1,u2)v=(v1,v2)

Q: Find SV. T. 15 30 R U 16 V SV %3D Submit

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Q: Solve the following IBVP: Utt = 4uzz 0 0, u, (0, t) = u,(27, t) = 0, t>0, u(x,0) = 0, 0<I< 2n, T.…

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Q: Let u (41, U2, Uz). Explain why u•u > 0. When is u•u 0?

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Q: (a) Interpret f(19) = 415 in terms of carbon dioxide.' Choose all statements that are correct. O The…

A: Question is solved.

Q: 5. By Chain Rule , evaluate b. y' for y = u² + 2u and u = x² + 2 %3D

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Q: Eliminate the arbitrary constants c, and c, from y = c, +C,e*

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Q: af Find the ar I and iff (x,y) = x² - xy, x = r² + s and y =r - s² as

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Q: If v = (3, – 1, 1) and w = (-2, –2, –2) , what is v x w ?

A: Here two vectors v and w are given, we want to find the cross product or vector product of the given…

Q: Verify that ||v-w||^2=1 when ||v||=2, ||w||=1, and v*w=2

A: By the definition of inner product and norm we can derive the following formula : ‖u-v‖2=⟨u-v,u-v⟩…

Q: Only F, H and J please.

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Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

A: The formulas used are 1.∫dxax+b=1aln(ax+b)+c2.ddxxn=nxn-1

Q: Disprove: X={r1, 12} iff V, (z E X +x=VI=T2)

A: To do: Disprove the statement…

Q: 2 Which statements are true? Select all that apply. A. mz2 +m23 =D 180° B. mz3 + mz4 = 180° =D180°…

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Q: Additional Problem Prove the statement: 3X CZ such that Vx E X, 2 | x and 3 | x.

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Q: (c) Deduce that Rn - A < D-a [f(b) – f(a)].

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Q: Determine s, t eZ where gcd(222, 921) = 222s + 921t.

A: I have used division algorithm to solve the problem

Q: hao that rectors X, - (1,-3,0,2) 3 E1,-2,', 3) ace dinac deandent. Kx C2,1,1, 1)

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Q: Given 7 = f (x. y)= e² , when x(u,v) = 3usin(v) and y(u,v)=8v²u, Find f„(x,y) and f,(x,y)

A: Given function is: f(x,y)=e2xyx=3usinv;  y=8v2u Substitute values of 'x' and 'y' in the given…

Q: rる= く6t, 32も,2>, Fiup もる エF TE AND WHEN t=1. AND

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Q: Determine whether (x-y)|(x-y"), Vn Z+ and x, y € Z, x #y.

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

Q: O Let f(x, y) = (5æ – y)°. Then -

A: We can find the required partial derivatives as below

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Q: Se f(x, y, z) = (x² + y² + z²)¯iwe can say that a²f a²f + + equals to Choose an option O a. V f(x,…

A: Given

Q: Let u= リ-23>V=く4ン Srーフ くeネッ4>F üv, マ 近応

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Q: Let *- y= ÿ.z=0 and x ỹxz= V3 where x,y,ZER'. Which of the followin. 2 can be the value of X Z? V3…

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Q: If f(z) = z² - (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

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Q: Determine whether R3 = span(u, v, w) if

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Q: V Given that X - N (44, 25), find s, t, u and v   (a) P (X≤ s) = 0.9808   (b) P(X ≥ t) = 0.7704…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: (b): Find the values of V10 (Vab) (1): (a² + b²), (2): and (3): ab(a² + b²) by using fomulas if V5…

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Q: a,b,x,y, are negative numbers a⁵ + b⁵<= 1 x⁵ + y⁵ <= 1 prove that a²x³ + b²y³ <= 1

A: Given information: The numbers a,b,x and y are negative numbers. The conditions are a5+b5≤1,…