prove. that s U. W V- W 1. U.r V.r

Q: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.

Q: Find (u - 2v) · (2u – v), given that u · u = 5, u. v = 6, and v · v = 9. %3D

A:

Q: Express dw and ds interms of rand s, where w = x2 + y?x = r – and y = r +.s = 5rand w as = 38 4rsand…

A: topic - derivatives note : As per bartleby guidelines, we are supposed to answer only first question…

Q: 00 fcos(x*) dx = ! Ex. 41. Prove that 2 V2 0.

A:

Q: (b) If z r+ry- y7, 1= u+ and y = 2uv, find: in terms of du %3D u and v.

A:

Q: 4 Given F(r, s,t) = r (7sª + 7t°), compute: Frst

A: We are given, F(r,s,t)=r(7s4+7t5)⇒F=7rs4+7rt5⇒Ft=0+7r(5)t4( Partial derivative with respect to…

Q: Complete the proof that ZYXZ SUT. P Q R. U W Y

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Q: For which value of x is p = (1,0, x) orthogonal to ā q = (10,3, –2 )? %3D 5.

A: Solution:- step:1      ∗vectors are  orthogonal if the dot product of the  two vector          is…

Q: v/4 f(u) 10, %3D elsewhere.

A:

Q: 4. Given that T : R² → R* and is defined as T(x, y) = (x + a, y + b) . Prove that

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Q: 2 Evaluate [I, (x² +y² +z? dv, 2 В

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Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: Prove (p Aq) –→ (p V q) = T.

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Q: x then ux is XX If u = V y %3D

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Q: (r(1/4)|? 4u/27 dv Prove that

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Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

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Q: If u = 5i + 2j, v = i - j, and w = 3i - 7j, find u . (v + w).

A: According to the question, we have to find the value u·v+w, if u=5i+2j,v=i-j and w=3i-7j. The above…

Q: -prave..that. U. W V. W W. 1. V.r

A: dot and cross can interchangea→ × b→.c→= a→.(b→×c→) vector triple  producta→ ×(b→×c→)…

Q: 1/2 3/4 S 5/6 . 7/8

A: Please rate and feel free to ask any query about any part.

Q: Show that d(y,u)/dv = (1– v²/c)3? for y, = 1//1- v²/c?. %3D

A: Given: γv = 1/1 - v2/c2

Q: 13. Given u = and v = , find: a) u + v b) 2u - v c) Ju|

A: Given that u= <-3, 5> and v=<4, -7>   a) u+v = <-3, 5> + <4, -7> = <-3+4,…

Q: Use Cramer's ru;e to fins a solution: 5x+4y=12 3x-6y=24

A: System of equations are 5x+4y=123x-6y=24

Q: Show that for all u e V, [T(u)]c = A·[u]g. Hint: For i = 1.r, find [T(v¡)]c and then, write u =…

A: Given that . For , V⊆ℝn and W⊆ℝn , V,W are vector subspaces and β=v1 , v2 ,...vr and C=w1 , w2…

Q: s) Given u(r, s) =r2 - 2s2, wheter= and s = y? - r, compute for du

A:

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

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

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 2x − u + 3v + w = 0

A: Given u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). And 2x-u+3v+w=0 Plugging the values,…

Q: af af af Find and 1, ax' əy' az f(x, у, z) %3D 17хyz

A: Given,           fx,y,z=17xyz

Q: If VW = -2z + 29, UX = z + 9, and ST = z + 13, what is UX? %3D V U UX w/ ト

A:

Q: Which condition would prove AJKL AXYZ? K Y 7. 56 7. O A. JK XY %3D B. JL XZ 8. C. KL YZ 8. O D. JL…

A: The given sides are, KL=56  YZ=7

Q: 63. r(и, v) %3D Зи сos vi + Зи sin vj + 18u'k ||

A:

Q: If u = a – j5 and v = -6 + jb, calculate Re(u + 3v).

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Q: If u = ex+₂y+azz, Show that d² u əx² + where a₁, a2, as are constants and a² + a² + a² = 1. J² u 8²…

A:

Q: QUESTION 1 State by True/False: VXEZ, ayeZ x? –y² =9 O True O False QUESTION 2 State by True or…

A: A statement p(x,y) is said to be true if it is true for all x and y.

Q: 2. Determine if each of the statements below is true or false. If a statement is true then prove it.…

A:

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

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Q: R and r are defined by E(r, – 5)(y – T) Sry VS., Syy SSR R2 r = SST' (1) Show R? = r².

A: If y = a+bx is the linear equation  Correlation attempts to measure the strength of the relationship…

Q: Ex: Find and . fie 28. u = rs? In t; r = x², s = 4y + 1, t = xy³ %3D

A: ∂u∂x and ∂u∂y

Q: ux v of u = 2i + 3j, v = -i + j is *

A:

Q: Suppose T(x,y) = (2x, 2y) and U(x,y) = (x, -y). Is T∘U=U∘T?  Justify your answer.

A:

Q: 28. Given: QT || RS QU Prove: RV UT Vs U R V

A: Given, QT||RS

Q: a the diagram, PU||QT, Ì = 42°, RQS = 82°, = v, UPT =r and QPT = x+40°. Prove that PT|QS. %3D P…

A: Given: PU||QT Concept: Pair of interior angles on the same side of the transversal are supplementary

Q: . ..that.. U. W V. W 1. V.r U.r

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Q: If RX 16, XS 8, and XY 15, then ST %3D

A: A triangle RST with XY parallel ST

Q: 4. and A= Find flA) where f lt) = t"-2t+3t+ 3t +2 て %3D %3D て

A: Given,  A=124-1 f(t)=t4-2t3+3t2+3t+2 Find: f(A)

Q: generally true? Prove / disprove this.

A: P(x+y|x)=probability of (x+y) given x. P(y|x)=probability of y given x.

Q: differentiate. a) g(t)こ3-2t St +1 c) H(u)= (u-JJ) (utro) d) FLt)- モ-3 %3D

A: