If x is equal to the square root of (-7+ 24i). Solve the principal root of x. С. 3 + 4i A. 3 + 3i В. 4 + 3і D. 4 + 4i

Q: Find the Laplace Transform of the following: 2. f(t) = t(vT³ + 1)²

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Q: Theorem 11. Let f be a continuous function on R such that f(x+y)-Df(x)+(y) vx, yER. Show that f(x)3c...

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Q: Let A be Sxó matrix. Knowing that Nullity (A) = 2. Then Rank(A) is equal to: * Non

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Q: , for x 1 Discuss the contuniuty of f and f".

A: Given the function fx=x,for x≤1-x2+2x, for x>1

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Q: What is the place value of 6 in 304.576

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A: We have,d1x,y=ex-yd2x,y=2x-yd3(x,y)=x-yWe will check whether they satisfy the properties of metrics ...

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Q: Let Uj, U2, Uz € R³ be an orthonormal system and let f : R³ → R be differentiable. Prove that af af ...

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Q: Let a be the angle between the vectors u=(-3,4,0) and v=(-4,3,0). Then

A: Given, the vectors u=(-3, 4, 0), and v = (-4, 3, 0).

Q: Q.1 A mother wants to save $4000 bimonthly in a financial institution, which pays her interest at a ...

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Q: m 2 and P(D) = 3 Find 10 Events C and D are mutually exclusive such that, P(C) = (a) P(C') (b) P(CUD...

A: Given P(C) = 25  and  P(D) = 310

Q: Solve the following problems, complete with free body diagrams, clear solutions, and complete final ...

A: The complete solutions are given below

Q: Hannah has 3 boxes of rice. one box contains 3 kg the second box contains 150 grams and the third bo...

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Q: Consider a two-form w = f(x +y) dæ ^ dy on R², where f : R → R is a smooth function. Let DC R² be th...

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Q: Montserrat is training for her first race. In her first training week she runs 3 km, and in the seco...

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Q: find all poisible tofaloğies on

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Q: Determine if the point (1,8) is in the solution set. Explain your answer.

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Q: Overall Costs of Goods. An operation’s beginning inventory on October 1st was valued at $54,000. Pu...

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Q: It is forecasted that there is a 40% chance of raining on Tuesday and a 60% chance of raining on Wed...

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Q: Suppose a computer installation has six input/output units and four central processing units. Any in...

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Q: メ-しリ ニ X² ty2

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Q: A box contains 6 balls, 2 blue and 4 green. Two balls are drawn at random in succession without repl...

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Q: 5. Consider the matrix -1 3 0 0 1 0 3 A = 1 (a) Find A-1, the inverse matrix of A by using your favo...

A: (a)       So substituting in equation (1), we get A-1=130310-631-51Therefore    A-1=0100-2113-5313

Q: 크) State the negation for each of the following statements. (i) (ii) 12 is a rational number. I am r...

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Q: Consider two interconnected tanks. Tank 1 initially contains 26 gal of water and 33 oz of salt, and ...

A: Since the rate of outflow and inflow solution are same, tanks contain the same amount of solution al...

Q: 7. Let ū = (3, 1,5), ở = (-1,1, 1), w = (3,0, 3). (a) Determine whether u can be written as a linear...

A: Given that u=(3,1,5) , v =(-1,1,1) and w= (3,0,3)

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Q: graph to do the following. (a) Find the soluti

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Q: 1. (a) Is there any 4 x 7 matrix that satisfies Nullity(A) = 2. If yes, find an example of such A; i...

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Q: Check the DE if it is exact or not. Solve it (if it is not exact use the method by using the integra...

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Q: Find the Inverse Laplace Transform of the following: 2. Y(s) = /(2s– 3)5

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Q: Evaluate / = Izl?dz, where C is x(t) = t?, y(t) = , t:2 -1

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Q: (b) V = R³, W is the set of all (x1, x2, x3) such that 2x1 = -x2 + x3. %3D

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Q: 3. Find out whether the series given below converges or diverges. 1 Σ 4Vn + In

A: We will use comparison test and p - series test  Given  series is : ∑n= 1∞14n + n3,    let  vn  = 1n...

Q: w Bw 5. Consider the generalized Rayleigh quotient R where A and B are positive %3D w Aw de finite s...

A: Given: The generalized Rayleigh quotient, Rg=wTBwwTAw Here, A and B are positive definite symmetric ...

Q: 2x^2 + 5x = 25 + 25i, determine the imaginary part. Express your answer in 4 decimal places.

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Q: Let C denote the unit circle centered at the origin in C. 1 Then |1 + z + z*l° dz, 2πί C where the i...

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Q: 4. Determine whether the mapping S: M2(R) → M2(R) defined by S(A) = A + AT is a linear transformatio...

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Q: Determine the number of significant digit/s in the following numbers: 1. 3.0800 2. 0.00418 3. 3.4617...

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Q: 1 ient of in al</z] <2 is

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Q: A chemist has two alloys, one of which is 20% gold and 15% lead and the other which is 30% gold and ...

A: X is the amount of the first alloy Y is the amount of the second alloy   20% = 0.20, 15% = 0.15, 30%...

Q: II. Use Heron's Area Formula to find the area of AABC. (Round to the nearest tenth.) 5.) a = 2.5 fee...

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Q: A sequence is defined recursively by a1 = 9, a2 = 99, and An = 11ап-1 — 10аm-2 for n > 3. Use strong...

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Q: 7. Prove: "If T is a tree of order n and size m, then m = n – 1." Give a concrete example to elabora...

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Q: For what values of x is the tangent line of the graph of

A: Given  f(x) = 8 x3  - 24 x2 - 2x + 48f'(x) = 24 x2  - 48 x -2now the slope of tangent at any point o...