. Let u = Inx and v = Iny.) write the given expression in terms of u and v. In(Vx •y) (hint, first expend the In, then plug in u and v.

Q: Consider the figure below, where |u| = 4 and |v| = 9. 150 (a) Find Ju x vl. (b) Determine whether u…

A: |u×v|=|u||v|sin150

Q: Prove that ||A||1 = maxi<j<n{E#1 laij|}. i=1

A:

Q: Let J={a: aER}, then I is Borel algebra.

A: False Statement' Detailed Explanation

Q: , Evaluate by interpreting it in terms of areas. *P (2* – I^ + *),J

A: We have to evaluate integral by interpreting in terms of area

Q: Suppose that a, b € Vand S € V2 are given. By expressing these quantities in a coordinate frame, or…

A: Given: The given identities are a) S(a⊗b)=(Sa)⊗b b) (a⊗b)S=a⊗(STb) c) (a⊗b)T=b⊗a To find out the LHS…

Q: Complete the proof that ZTUZ ZSXY. U H S Statement GI | TV GI | WY ZTUZ ZGHZ ZGHZ = ZSXY ZTUZ = ZSXY…

A: Given : Diagram with incomplete proof is given. To Complete : the proof

Q: Given that u and are not collinear, which of the following is false? Ox=0 Ov • v = | 0 | ² υ ये • ये…

A:

Q: Let i = i +2j+3k , Find e so that ||c|| = 3.

A: As we know that; The property of scalar multiplication of a vector ka→=ka→ Given: u→=i→+2j→+3k→

Q: Let r = xi + yj + zk and let r = ||r||. Prove that

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Let r = ri+ yj + zk and let r = ||r||. Prove that

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Let P = v?R/(R +r)² as in Example 8. Calculate dP/dr, assuming that r is variable and R is constant.

A: Given:

Q: Find the Jocobian for x = u + vw, y = v + wu, z = w + uv

A:

Q: Given that w = f (u, v) And u = xz. , V = dw = X az aw aw Prove that Z - ду

A:

Q: Based on the following figure, determine whether u × v is directed into the screen or out of the…

A: The objective is to determine whether u×v is directed into the screen or out of the screen.

Q: Let j = 7 and U=span(ü), with ü = -6. Write j = ã1+ã2, where 1 in U and az in U-.

A:

Q: Use the given information to prove that ARST AVUT. V R Given: ST UT ZSRT LUVT T U S. Prove: ARST…

A: ST=UT and ∠SRT=∠UVT in the adjoining figure

Q: b, c e R such that abc

A:

Q: B D F O A. M2DAB = 2m<DCB O B. M2CBD = M2CDF O C. M2BDC = m<BDE

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Q: m is the mid point of AB find a Of AM

A: Equating the given relation gives the value of x . Then substituting the value of x in the…

Q: Given u(x,t) =t²e¯¤, compute: Uxx

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

Q: Q, : which of the following are inner product on V,CR) where u=(81,Nz183) ,V=(BiB2.P3) 1) りとuvン=…

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Q: If ASTU - AXYZ, which statements must be true? Check all that apply. ST - XY YZ O XY O ZS E LX O ZT…

A:

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: Find the Re and Im parts of exp(z?)

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Q: If i = j+z, i – j = đ, and j – z = b, show that ā = -15.

A:

Q: If A' = g;a,rsys , Yi = birx, , and a;,b,j = dij. Find A' in terms of the x,

A:

Q: Solve the IVP. Find and verify the condition num- ber. y' = -ty; 0<t < 5, y(0) = 2, 2.5.

A: The IVP is given by y'=-ty, y(0)=2. We need to solve the IVP where  0≤t≤5. The given problem can be…

Q: V and for all r € R. Show that (V, 1

A:

Q: of af 42. Assume that w = (х, у) — ху, and (х, у) ду dw dw Find and at ds

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Q: Prove that dv du 2 – u? + v² 18

A:

Q: let U = 5i +12j, V =24i + j, and W = i - 4j, and find:   U.W

A:

Q: Show that (t As) can be derived from the premises pq, q→~r,r, pV (t As).

A:

Q: Find the source Q cx) Such that the So lutiim Uckit) of + Q(x) 2 ə x² 0 < x <∞ | U(x,o) = 0

A: given equation ∂u∂t=k∂2u∂x2+Qx ,       -∞&lt;x&lt;∞            ...iux,0=0 claim- find the source Qx…

Q: If r = xî + yì + zk, andr = ||r||, what is V In r?

A: Given r=xi+yj+zkand r=r

Q: Given s(t) = t – 6t + 9, evaluate. %3D s(a)

A:

Q: Let T ∼ Γ(r, λ). If μT = 8 and σ²T = 16, find r and λ.

A:

Q: Show that the two triangles are similar. S v and SVR Z V. so ASIVR ATRU ZVRS L

A: The figure given in the problem represents two triangles. From the figure, angle VRS and angle RUT…

Q: Given AABC with AE = 15, FG = 6, BF = 24 and AF = 8 Select all of the statements that are true. B O…

A:

Q: locate all Lo cal naximae a values, localminimum values aod satdle Palots, of the JEunction FCX, 4)=…

A:

Q: Use the diagram to answer the following question. Which parts must be congruent to prove APQR APSR…

A:

Q: Prove that B (xX+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) = ХГ (Х)

A: We have the formula for beta function interms of gamma function is that B(m,n)=Γ(m)Γ(n)Γ(m+n)As we…

Q: Let A EMn (R) be given. If 11x11 = 11yll = 1 and x •y = 1, show that x=y

A:

Q: Consider the set R. Prove: (i) VxER, x 0 = 0;

A: To prove: For any x∈ℝ, x·0=0.

Q: For what values of aare u and v orthogonal?

A: Consider the given vectors  u=11-2  and  v=a-12 Write the vectors in row form u=1,1,-2  and…

Q: (b) If y=ae", express t in terms of a and y.

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.