1 0 5 1 1 0 -1 3 A = -1 1 B =| 4 4 -1 -1 -2 3 2 3 1 3

Q: 2. Evaluate (if possible) the VVF at the given value of t. 21 +2ty-4r'2 7+3 b.7() for F(1)= 3cos(1)x…

A: (a) Given vector is : r→t=2tt2+3x+2ty-4t2z To find the value of r→-2

Q: Given the following: g(x) = 2 + x - x², [a,b] = [0,3], p = 1 a. Verify that the two conditions of…

A: The given function is gx=2+x-x2, a,b=0,3, p=1. a. Verify that the two conditions of the IVT are…

Q: 3. [2 3 1-1221 and 8=6²-41 0 Lo Given A = B , show that (AB)T = BT AT.

A: Given matrices are A = 2101-21 ,  B = 23104-1

Q: 2 1. Given: h (t) = : ; Find h'(t). On (t) = 8t° (1+t²) (1²+2)³ 8° (t² –1) (1²+2)° ON (t)* O (t)…

A:

Q: Find all the values of t so that  5eBt > 0 a) t ≥ 0 b) t 1/5

A:

Q: If r(t) = (V10 – t, In(t – 1), sin(2t)) - then the domain of r is О 11, 10] (1, 0) O [1, 10) O…

A: Explanation of the answer is as follows

Q: Let R be and bl#0) = iff a with unity - Let a l#0) in R- Show that and b an I.D are are associates-

A:

Q: Which of the following characteristic equations is primitive ? Select one: а. х3 + 1 b. х3 +х+ 1 С.…

A: Option B is correct...

Q: The orthogonal trajectories of r = a0 is_ r= - +c In r = -02 + c In r + c 2 02 Inr = + c 2 ||

A: Explanation of the solution is given below....

Q: 1) Suppose T E L(V) and there exists a positive integern such that T" = 0. (a) Prove that I-T is…

A: The complete solutions are given below

Q: Find a given that ||a i+ (a – 1)j + (a + 1)k|| = 7.

A: Given:

Q: K. 4 12 12 8. 7. Which additional piece of information would prove that A/JK-ALMN? C. NM=15 D. LM=10…

A: The objective is to find out the correct additional piece of information.

Q: (3) Derive ACFS Pk, k = 1,2, ... for the following models. (a) Xt = Z¢ – 02Z¢-2 (b) Xt – 0.3Xț-1 =…

A:

Q: If H(r) = 1- 3.r – 3.r2 +6.x is the Hermite interpolation for %3D 0 1 the data in the table f(r) b1…

A: To perform Hermite interpolation with the given data.

Q: 41. Determine g(x) and all values of c such that | 8(t) dt = x² + x – 6

A: Recall the fundamental theorem of calculus:

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. 23 2 3 r(t) = (2t)…

A: a0=atT+anN

Q: 3. Let A = {8k +7 : ke Z} and B = {4j+3 : j e Z}. Show that AC B. %3D

A: I am solving only Q3,as you mentioned.

Q: In(e) = 1): %3D d le") = = et da Use this fact to answer the following questions. To enter e" in…

A:

Q: II. Let U = R, 1 = { x eR | x5 – 26x3 + 25x = 0 }, J = { x € R | |4x + 2| > 10 } and K = { x €R | x?…

A:

Q: e) C) modulus of d) Argument of 3+4i K = 0, 1, 2, 3, 4 roots for WK K (5) ½ se i (ton+ (1/3))/5 ws…

A: given z=3+4i and We have to draw the given roots on an Argand diagram

Q: 1 Q4) If vZA =, such that AA" = I. Find x?

A: Transpose of matrix

Q: 10.Show that Φ(t) = Ψ(t)Ψ−1(t0), where Φ(t) and Ψ(t) are as defined in this section.

A:

Q: 2. The value of ₁-² dx = ..., for each Chebyshev polynomial Tn (x), n ≥ 0. 1) 플 b) c) 0 d) None of…

A:

Q: 3. Consider the following figure. 2h +1 3h - 6 k M B S Part A: Determine the value of h.

A:

Q: Using the technique of substitution with u = -t, the 01 / 2²1-41 des du 70 1 04/2² du ㅠ O -1 za 2²…

A:

Q: Suppose A E C such that A(2 + i, 3 – i) = (5 – i,7 – 5i). Then (1) A = (1 – i) (2) A = (2 – i)

A: Given that: 1. λ∈C, λ(2+i, 3-i)=(5-i, 7-5i)   NOTE: As per our answering guidelines, we can only…

Q: Show that g(t) = t2tant takes on the value ½ for some t in [ 0 , π/4 ].

A: gt=t2tant on the interval 0, π4. When t=0, g0=02tan0=0 When t=π4, gπ4=π42tanπ4=π2161=π216=0.6168

Q: B =: 0 -4 A = -1 3 1 1 C = -3 & & Find ??? 1- Prove that At + Bt + Ct = (A+ B + C)t %3D 2- Prove…

A:

Q: 3. Consider the following figure. D. 2h +1 3h-6 k Part A: Determine the value of A.

A:

Q: Use Shapiro-Wilks and a = 0.05 for the test and show all parts. * %3D Но: (а) На: (b) F and PValue…

A:

Q: Q5: For which values of z is w =1/(z - i), defined? For these values obtain u and v and evaluate w…

A: Given that: w=1z-i, z=1-2i

Q: 27 Find (all) the value(s) of c such that 3c2n 8. %3D n=0 (A) c=3 (B) с 3 4 (C) c=-33 (D) c = } (E)…

A: Substitute the value of c as 0, 1 and 2 in the nth term to find the generated series.

Q: 3. Consider tw o evénts A and B such that Pr(A)= 1/3 and Pr(B)= 1,2. Determine the value of Pr(B 0A)…

A: Given PrA=13 and PrB=12 and A and B are disjoint, that means PrA∩B=PrA×PrB…

Q: f(2) = x-4I satisfies the hypothesis of Rolle's Theorem on 0, 8. [0, 8]. Select one: a. True b.…

A:

Q: A chemist creates 200 milliliters of a 52.5 % alcohol solution by combining a 30 % alcohol solution…

A: Here, 30% of the solution is represented by x and 75 % of solution is represented by y. Now, the…

Q: a- If A = -1 %3D 2 and B = -41 prove that (A + B)T = AT + B". 12 [1/2 - If A-1 =1/2 -1/2) and |A| =…

A:

Q: 9. Let S- {xeZ| 3r.seZ,x=9r+6s) and T={xeZ| 3x} b) Prove that T Cs. a) Prove that SCT. Hint for (b):…

A: Part(a) We have S=x∈Z/ ∃r,s∈ℤ, x=9r+6s and T=x∈ℤ 3/x  Now, let a=9r+6s be an element in S. Then…

Q: (T/2 1 1- 4 (a) Compute 3 Simpson's rule.

A:

Q: (a) Compute /(2) dr, given that f(b) 3 and that | af'(a) dr b(1 + f(-b)). (b) Computei (2) dz. given…

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Q: Write a in the form of a = a„T+a„N at t = 0 without finding T and N first if r(1)=(2+3¢+ 3¢°)i+(4+…

A:

Q: Find all values of A for which det(A) = 0, using the method of this section. %3D a – 7 0 A = 6 1– 1

A: Given matrix is A=λ-7000λ506λ-1. Also given that det (A) =0…

Q: 27 Find (all) the value(s) of c such that 3c2n 8. n=0 (A) c= 3 (В) с— 4 (C) e = -} | (D) c = } (E) c…

A: Given, To find the value of c. The formula for the sum of an infinite geometric series is, where a…

Q: Find a mat rixP such that P [1 2 1 0 | 1 0 P = O A. -1 1 1 - ОВ. 1 P= OC. 0 1 -1 0 P = O D. 1 1 1 0…

A: Just multiply both sides by P from left side and set P as 2×2 matrix.

Q: 3. Given 1 1 -j -1 j A = 2 1 -1 -1 -1 -j] where j= -I. (a) Calculate |||1, || 4||2, and ||||p. (b)…

A:

Q: 27 Find (all) the value(s) of c such that 3cn %3D - 8. n=0 (A) c= 3 (B) c= 4 (C) c = (D) e (E) e (F)…

A:

Q: Ex Using Cramer's Rule to solve the sys x-y+z 0 2x +y-3z = (x+y+z%3D

A:

Q: Q5: Find the Z-trans form of the following: Hint: af(k) = F (=) a) x(k) = 2k ek b) x(k) = e-k sin wk

A: Z transform of 1 is: ∑k=0∞1.Z-k=∑k=0∞Z-k              =Z01-Z-1              =ZZ-1

Q: 3 (a) Given that T= 2n12g , express I in terms of T, g and n. %3D

A:

Q: Show that (A − B)T = AT − BT .

A: We have to use the properties of subtraction of matrices and matrix transpose operation. In matrix…