if 21 = 1– 2j and z2 = -3 – j, which of the following is equal to 1? O -0.1+0.7j O -0.1 – 0.7j none of the above

Q: 1 Suppose A = 0. where A = (1 a1 a2) and 1 E N(A) and 2 a. a1 = -2 O b. a1 = 1 O c. aj = -0.5 O d.…

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Q: Which of the following is equivalent to the problem shown? 1 where 21 = rịcis01 and z2 = r2cis02

A: z1=r1cisθ1,  z2=r2cisθ2 Using the formula  cisθ=cosθ+isinθ

Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: For every positive 2-digit number, x, with tens digit / and units digit u, let y be the 2-digit…

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Q: N If mML = (11r - 5)", m.JK (4x + 26) " and m/MNL = (10r 12) , find m/MNL.

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Q: if L(e3t) = then L(S, e34 du) is. S-3

A: Formula:  If Lft=Fs, then L∫0ufudu=Fss. It is given that Le3t=1s-3. By the formula,…

Q: s there a formula to calculate:  If A and B are dependent and P (A/B) = 0.35 then  P(B/A) = P (A…

A: A and B are dependent P(A/B)=0.35   we know that, P(A/B)=P(A and B)/ P(B) P(B/A)=P(A and B)/P(A)

Q: CONSID ER THE FOLLOWING S ERIES (4x+8) n =0

A: Given the series ∑n=0∞-1n4x+8n4 (a) We have to find the series radius and interval of convergence To…

Q: n P(x) = 4x +11x + 16x - 9, which of the following is true? As r→ P(r) →-0 B As x → +o, P(x) → +

A: Solution of the problem as follows

Q: consider this formula. z= y over x if z= 4.0 and y=6.0  express your answer to the tenths place

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Q: Given that In2 = v and ln3 = w, express each ofthe following in terms of v and w. a) ln 576 b)…

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Q: If v3 – 2cos 0 = v3, where 0 <0 < 2n,wh are the values of 0? Select the correct answer below: 3n and…

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Q: 1. Which of the following is true a) D;= Ps = Qs b) D50 = P; = Q25 c) D;= Ps0 = Q2 %3D

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Q: if z1 = 1– 2j and z2 = -3 - j, which of the following is equal to ? O -0.1 + 0.7j ·O -0.1 - 0.7j 3-j…

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Q: N/W 00 x9 ex, 3. .a O 16 3 IT bC 4 .cO 3

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Q: For x=e6t y=531, find y" when y=1- - In 5 ( In 5- 2) 4 - (In 5- 1) 12 O 3 - In 5 (In 5- 2) 2 - (In…

A: topic - derivatives

Q: Show that the following two quantities are equal 2 a1 dr 1 a? r dr2 (rV) p2 dr

A: Simplify the LHS:  1r2∂∂rr2∂V∂r=1r22r∂V∂r+r2∂2V∂r2                         =2r∂V∂r+∂2V∂r2

Q: 2. T = {m EZ| m 1+ (-1)^i, for some integer i} *

A: Given T=m∈ℤ|m=1+-1i for some integer i

Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

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Q: Consider a positive integer 1 < i < 9. Then, given T(n) = 2T([n / 2] + i) + n, show that T(n) E O(n…

A: Given: T(n)=2Tn2+i+n The positive integer 1≤i≤9

Q: If S 3D [x|0 <x<12}, М 3 [x| 1 <х < 9}, and N %3D (x | О <x< 5}, find а. MuN b. M N N c. M' N N'

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Q: If M(3) -1 and h'(1) = 5, then h"(x)dr = (A)-6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11 Oc OF OD OE O A OB

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Q: Let L = (a" : n2 0}. Which of the following is true? O a. L = L but Lt # L. O b. L' # L but L* = L..…

A: This is a question of Automata theory.

Q: What must be the value of x to prove AB CD? H. (3x + 14)°\ K C (бх — 4)°

A: We know that two lines are parallel if the alternate angles are equal. We use this fact to find the…

Q: Solve the following P.D.E. , with the following conditions: u(0,y) = 0, u(L,y) = 0, u(x,0) = 0 and…

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Q: Which of the following is equal to a +c 1' +c O o O

A: The given integral is ∫x6 dx To solve the integral we use power rule of integration , ∫xn dx =…

Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: Which of the following is the smallest, positive value of n for which -i" is equal to -i? (1) n=1…

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Q: Which of the following is equivalent to 2x3 .x-1? A B D 5 NIN NIN inIN

A: The correct option is option (D)  The detailed solution is as follows below:

Q: Given: m +n = p P= 3r Name: Date: Prove: 3r = 2n

A: We have to prove that 3r =2n Using given information in question

Q: if P ( CnX) = 0.6, PC' n x) =0,2, Then P(C)x)= a. 0.24 O b. 0.81 OC. 0.75 O d. 0.57

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Q: In SOR method the value of 0 < w <1 Select one: True O False

A: We will use the formulation of SOR              (Successive over Relaxation) Method to     show what…

Q: Indicate the formula for the following conditions. p° (n, r) = %3D

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Q: If y = exp(-x²) show that = -2xy and hence prove that, for n > 1, y(n+1) + 2xy(") + 2ny(n-1) = 0.…

A: Given that : y=e-x2. Therefore,  dydx=ddxe-x2=e-x2.-2x=-2xy  , as y=e-x2. Hence proved that…

Q: Given that Z5a = 1.53 Find the value of a. O 0.06445 O 0.01570 O 0.01260 O 0.01280

A: given that z5α=1.53            find value of α=?

Q: - Find the value of x for testing H, 4 = 320, given that z'= 2.6, o = 21, and n = 60.

A: The population mean is 320, population standard deviation is 21, sample size is 2.6, and z* value is…

Q: For x=e6r y=531, find y '" when y=1- O (In 5-1) 12 - In 5 (In 5- 2) 4 O 3 -In 5 (In 5- 2) - (In 5-1)

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Q: 10. If h(x) = In(2 – 3x)5, find h' (0) - А. В. 15 С. 2 D.

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Q: Given h(x)dx=- and G(x)dx =What is [8h(x)-3G(x) ]dr? 3. %3D O Cannnot be determined O 2 O none of…

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Q: If a test is run and p = 0.0356, then we can reject H0 at =0.01

A: Form the given information, P-value is 0.0356. Level of significance is 0.01. Decision rule: If…

Q: Evaluate the following: 6. Se (y, 1) - dr where r(t) = (t3 –t, 2t) from (0,0) to (6,4).

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Q: Evaluate the following 17 dæ J 10x(In(x))5

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Q: If z a (y+ 2) and y a (x-1), which of the following must be true? 10. А. A. (z– 2) a y В. (у- 1) « х…

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Q: If m*n denotes Im-n2 find the value of j. 3* (2*1)

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Q: If S= 1+3+5+7+9+11+... + 99, then 49 s-Σα r=0 where a,

A: 1. Given, S=1+3+5+7+9+11+…+99 Then, S=∑r=049ar Find the value of ar.

Q: Given n(J) = 270,  n(K) = 155 and  n(J ∪ K) = 421, find n(J ∩ K)

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Q: Find x E {0, 1, ... , 12} for which 1010 = T in Z13.

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Q: Given that Z2a = 0.74 Find the value of a. O 0.2296 O 0.1148 O 0.4592

A: We have to find critical value..

Q: Given that z = x² + xy, and that variables x and y depends on s and t as follows: x = s +t and y =…

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