2 Given that i? is defined as being equal to -1, what is i9? F -i 1 H -1 i K -99

Q: |: Use Mashematizel Induethon to solve bhe followbing; j I(2") + 2(2²) + 3(2-³)+.. .+ n(2^)…

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Q: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

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Q: II, Write TRUE if the statement is true and False if it is false. For items 3 to 6, JUSTIFY by…

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Q: fx >2 e every wE W.

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Q: 8. If s is t less than four times u, what is t in terms of s and u ? F. 4u + s oG. 4u- s H. u+s J. U…

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Q: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

A: The given differential equation is 2-r2dr=r2sinθdθ. Rewrite the above differential equation as…

Q: ? 4 1. F(x, y) : = x (7) x? +y° ° x2 + y? ? ; 2. F(x, y) = ? ਦ ਵਿੱਚ) 4 3. F(x, y) = (x, y) y A…

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Q: Prove that if gcd(a,b)=1 then gcd(a+b,ab)=1.

A: Given, gcda,b=1 Let, d=gcda+b,ab This implies, da+b and dab This gives, dba+b⇒dab+b2Since,…

Q: solve the following different ia l e fuation 2x(1-x) y" +(1-x) y' + 3y = 0

A: Given: 2x1-xy''+1-xy'+3y=0 To solve the given differential equation. Since the posted question has…

Q: * S[*****] = Yg = 1 + +x² + %3D + de 1 + x* + 24 3 1 + 24 3 오4 4 +x2 +x + T 24 3 4 24

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Q: If I (F14)- s²+1 SO is given by? a) V(s? + 1)³

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Q: Assuming x E Z. Prove 2|(x – 6x + 5) → 2}x a|b b = ke Z a 6. = 2 € Z 3 3|6 is True because 4 3+ 4…

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Q: Given: <5 is supplementary to <4. a. What can you conclude about < 5 and < 3? b. State…

A: Given: ∠5 is supplementary ∠4.

Q: [1 2 3] If Ax = b where A = 1 1 2, find x if Lo 1 2.

A: Using matrix notation a system of equations can be expressed in the form Ax=B. In this problem the…

Q: Show that the substitution = e, y = et converts the equation ² (0²²)+1² (32²) +²(3)+1 (3) = 0 into…

A: The given equation is                        x2∂2u∂x2+y2∂2u∂y2+x∂u∂x+y∂u∂y=0

Q: Q1) If B = B-1 then B = I or B = -I. Prove or give counter example. %3D

A: A detailed solution is given below.

Q: evaluate Cn,x px qn-x for the values of n, x and p given below. n= 4, x=1, p= 1/2

A: The given expression is a binomial distribution with n = 4, x = 1, p = 1/2.

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

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Q: If z = -4xe³xy and x = √t, y = . Then, the value of dat t = 8 is equal to 3√2 (-1/2² + 2³/1) e + ² 4

A: This question can be solved using the concept of derivatives.

Q: 5. If h(x) = x² +8 and j(x)=3x +10 , what is the value of h(10) -j(2)? 116 (1) (2) (3) (4) 108 16 92

A: Solution: the objective is to find the required value

Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: Given that X~N (2,25) , find pr (0 < ? < 10)

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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: Q1) If B = B¯' then B = I or B = –1. Prove or give counter example. %3D

A: B=B-1To prove or disprove B=I or B=-I

Q: Given: &lt;1 = &lt;2;&lt;4=&lt;5 What can you prove about PQ and RSI Be prepared to give your…

A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

Q: Find a, b > 0 such that the following equality holds: {r €R : -a < br – 3 < v2} = [-3, 3).

A: Note the result : The set can be represented in interval form as .

Q: 2 Xi. にく prove thate 2.

A: Given that  We have to prove the given expression:

Q: all Metro by T-Mobile ? 5:56 PM @ 25% - Use Pythagorean theorem to find ri... 16 12 Choose 1 answer:…

A: Using pythogereon theorem

Q: 6. B;? Let B; = [i – 1, 2i + 1]. What is U i=1

A: We will just use the definition of closed intervals of the real number line and the definition of…

Q: Prove the following equalities using equivalence laws: a. (r^s) A (rVs)=r b. r→(st)=(rA¬s) → t (pq)…

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Q: Discrete

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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: Given: AB CF 22 = 23 Prove: Z1 = 23 в D 2 3 A F E

A: Given AB¯||CF¯, ∠2≅∠3

Q: -1 Given 4-3 x-2 0 0 2 x+1 and 14--5, Determine the value of rand (4)

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Q: • b. Σ n =1 3n – 1 -

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Q: 1. FIND ALL NUMBERS Z SUCH A23 Bz? +C2 = D 2 4 2 THAT %3D A = 13 1| T-1117 B = 124 2] 1 -2 -1 1 3 1…

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

Q: Prove that the value of the expression (а — 1)(а — 3)(а — 4)(а — 6) + 10 is positive for every a E…

A: The critical points for the function are the set of values where the function attains its maximum…

Q: The value of X-y z-y is x²-y² z²-y* (x-y)(z-y)(z-x) OA. В. (v-x)(z-y)(z–x) OD.? O D.

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Q: Which of the following expressions are equivalent to I? 2 (2) Os(i) -4(-i) (zy) 1/2

A: The explanation of solution as follows:

Q: a) Is it reasonable to assume X; and Y; are independent? b) Is it reasonable to assume X; is…

A: According to the answering guidelines,  we can answer only three subparts of a question and the rest…

Q: 1. Express the following expression in words: D: {x/x € R, x > –4}

A: The expression is D=x/x∈ℝ, x≥-4

Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: 2. 2. (xij-X-) Xij-.. prove thate

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Q: 16. fa) Explain the difference between Σα E aj 2 ai and i=1 j=1 (b) Explain the difference between…

A: Given that we have to explain the difference between  (a)  ∑i=1nai and ∑j=1naj (b) ∑i=1nai and…

Q: D B. E C Given: AB XEB = CB × DB Prove: AABC- ADBE

A: To Determine: prove △ABC~△DBE Given: we have a figure in which we have triangles △ABC and △DBE also…

Q: Which of the following is a general solution to the followin x²y"+xy'+ (x²– 1)y=0 y=c,(x) +cY_,(x) O…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.