3. Suppose AB=RS and mzB = mzS. What other information is needed to prove that AABC = ARST by SAS? (1) AC = RT (2) m ZB = m ZS (3) BC = ST (4) m ZC = m ZT

Q: 8. Solve the following IBVP: U = u + sin(3nr), 00, u(0, t) = u(1, t) = 0, t20, u(r,0) = sin(72),…

A: Given ut=uxx+sin(3πx), 0<x<1, t>0u(0,t)=u(1,t)=0, t≥0,u(x,0)=sin(πx), 0≤x≤1

Q: 4) In AJKL, JK = KL. Ifl J= 4x-8 and L L= 3x + 15, find m2J and ml L. K.

A: Given :JK ≅ KL∠J = 4x-8∠L = 3x+15

Q: B. Suppose that y1, Y2, ., YnidN (0, o2). We wish to find the most powerful test for Ho:02 = o3…

A:

Q: com/u/0/c/MTI10D9ZNTU1MTU5/a/MjcyNDYONzQwMTQz/details 15. Find mHIF. 46 G (7x + 3)° 25)° (2r + 6)°

A: Q.1

Q: 1f: A-3) -J + K and B =1-3J +K calculate the vectes (C) so that Ā -B + Ĉ =.

A: Given A→ = 3i-j+kB→ = i-3j+k

Q: If a chemical bond vibrates at a frequency w, the average energy of the bond turns out to be equal…

A:

Q: . Eualuati losh (12)d2 uhere. C di the Ciscube. lel=2

A:

Q: Example 38.18. Prove that (a) div A, = VgA)

A:

Q: 16w Given that, w =1- 2i and z = w – Calculate z.

A: w=1-2i and z=w-16 ww2

Q: 3) Express aw/ar and aw/as in terms of r and s if w = x +2y+z², x = 5, y = r² + Ins, z = 2r

A:

Q: If Var(X) = 4, Var(Y) = 16, Cov(X,Y) = 3, and E(X) = E(Y) = 0, what is E(XY)? Enter the exact…

A: Var(X)=4 Var(Y)=16 Cov(X,Y)=3 E(X)=E(Y)=0

Q: Let A = PDP 1 and P and D as shown below 1 0 1 2 P = 35 D = 0 2 A4 = %3D

A: Given: To explain the given statement as follows,

Q: SK X = 8 4. Prove that if ged(a, b) = g, dlac, and dlbc, then digc. One convenient way to do this…

A: To prove that if gcd(a, b) = g, d| ac, and d|bc, then d| gc, we can use Bezout's theorem. Bezout's…

Q: Given A = A(x, y) subject to bzx+ byy <B and Cxx+ Cyy <C i) Write the Lagrangian function. ii) Write…

A:

Q: Suppose Cov(X,Y) = 590. What is Cov(1.7X, 3.1Y)?

A: The objective of this question is to find the covariance of the two variables 1.7X and 3.1Y given…

Q: Show that the following relationships hold. a) (1+i)™sn[ = Sn+m[ ¯ Sm| b) än+1] = 1+ an] (m) (m), c)…

A: Considering the LHS (Left hand Side) : LHS=(1+i)mSn|¯ RHS=Sn+m|¯-Sm|¯ ( Right Hand Side)…

Q: Compute Au, where A Au = = 1 (56) 4 and u= (9).

A: The simple matrix product..

Q: 3. V4- (x – 3)²dx.

A:

Q: 11 FCF)dt= fCx) dx =- 43 then 1.

A:

Q: Let r = xi + yj + zk and r = |rl. If F = find div(F). (Enter your answer in terms of r and p.) p'…

A:

Q: 6-9 d x.dy 2.

A: A double integral is given. We need to evaluate the double integral.

Q: Show that C=-λR.

A: Detailed answer shown belowExplanation:

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: B 2. 7.2.Preve that CD= 24 SnR Vzt2 cosx

A: Use trigonometric ratio to solve

Q: 4.2. Suppose that v = (2, 1) and w = (1, 2). (a) What is 3v + w? (b) For c,d e R, what is cv + dw?

A:

Q: 5. ZY = 24, WY 34, and MZXY 42 . WZ = M2WXZ% = VY = M2WVZ = ZV = MLZYW = ZX = MLXYW =

A:

Q: Solve the IVP By LT

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.