In a certain general assembly, three major prizes are at stake. In how many ways can the first, second, and third prizes be drawn from a box containing 120 names?

Q: Let B1 be a basis for a topology T on a set X and let B2 be a collection of open sets containing B.....

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Q: Let f : Nx N → N be a function defined by (n + 1)m(m + 1) f(n, m) = Answer the following questions. ...

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Q: Suppose L{f(t)} = F(s), for some function f (t). What is the Laplace transform L{t² f'(t)}? F"(s) – ...

A: Some of the properties of Laplace transform Ltnf(t)=(-1)nFn(s) Lf'(t)=sF(s)-f(0) Some of the prope...

Q: Evaluate log(1+i) (1+ v3i) A. 1.442 – 0.246i C. 0.151 + 0.341i - B. 1.198 – 0.215i D. 0.301 + 0.455i

A: Use following formula to find out result  log(z) = log(r) + i θ 

Q: Evaluate the base (3-4i) logarithm of 10e^2.05i. Express your answer in rectangular form in 4 decima...

A: This is a problem of complex analysis.

Q: 14. The diameter of a circular reservoir is 840 feet. To walk around the reservoir, you would walk a...

A: Introduction: The circumference of a circle is the total length of its boundary. Suppose, the radius...

Q: 1 3. If log, 2(x – 2) log, 4, then the value x is 2

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: If 4x + 6i = 8+3yi, then x +y is equal to А. I В. 2 С.3 D. 4

A: We want to find value of x + y

Q: Simplify 324-4x/2x+18

A: Let us consider the Rational function f(x)g(x) To simplified the function  Taking common factor fro...

Q: Solve * + 3x – 4x = 20t, given that at t = 0,x = 0 and %3D

A: Introduction: One independent variable and its derivatives are included in an ordinary differential ...

Q: Expand the function in a power series E anx" with center c = 0. Find a„x". n=0 (Express numbers in e...

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Q: Q.2) Evaluate cln 7 cln 2 cln 5 e(z+y+3) dzdydr In 6 In 4

A: Given triple integral is ∫ln6 ln7∫0ln2∫ln4ln5 ex+y+z dz dy dx   Note:- ex+y+z =ex ey ez

Q: 14. Two cars start from rest at a traffic light and accelerate for several minutes. The graph below ...

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Q: H.W: Select the divergence of F(x, y) i+ (2x – 3y)j. %3D 1 (b) -* +2, y2 1 (c) (a) 3, (d) -2. - - -

A: Multiple:   Divergence of a vector field find by taking the scalar product of the vector operator  ∇...

Q: s Klein made some fruit buns. She sold of them in the mornin t of the remainder in the afternoon. If...

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Q: Find the length of the Following curve at the given distance. RIt) = cos t i + Sin xt <플 2

A: We have to find the length of the curve Rt=cos3ti∧+sin3tj∧ in the interval 0, π2. Let x=cos3t and y=...

Q: uppose that X is a random the following p.d.f. , Find

A: In this question, the concept of integration is applied to find the value of the unknown. Integratio...

Q: Evaluate 3cos(x) dydr Evaluate

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: drlde = b[(drld®) cos 0 + r sin 0], r7) %3D I>9>0

A: This is a problem of IVP.

Q: A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from the b...

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Q: n consists of 10 albums, each containing 42 pages. How many stamps are in the total collection if 40...

A: Introduction: Different symbols are used in mathematics. One of the most common math symbols is the ...

Q: At the hummingbird food factory, hot water containing 1/3 of a pound of sugar per gallon of liquid i...

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Q: Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A correspo...

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Q: Solve the linear system by the a.) LU Decomposition b.) Cholesky Decomposition. х+ 2у + 6z %3D 2 2х ...

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Q: Which is NOT a solution of V2- i ? C. -0.4717 + 1.2196i D. -0.8204 – 1.0183i A. 2.2094 0.3442i B. 1....

A: To find the nth root of a complex number we have to use de'Moivre's formula : z1n=z1ncosθ+2kπn+isinθ...

Q: The differential equation ry" + (x – 2)g' + y = 0 has a solution of the form y = x² Eo Cna™, co 7 0 ...

A: Given: Let us consider the given differential equation, xyιι+x-2yι+y=0-----A and determine the solut...

Q: An airplane is flying at an airspeed of 750 km/hr in a wind blowing at 50 km/hr to the southeast. In...

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Q: he vector v = ai + bj is parallel to the line bx – ay = c. Use this fact to find ector starting at t...

A: Introduction: The formula for the equation of the line passing through a point P(a,b) is given by, (...

Q: Q4: Evaluate a. L(t3+5 sin7t). b. L(t cos5t). 1 C. L-1

A: Introduction: The formula of Laplace transformation for the functions f(t)=tn, f(t)=sinat is given b...

Q: nd 7 towels for $19. Find the cost of the mug. mus bought a mug and 4 towels for $13. Joanne bought ...

A: Introduction: Linear equations are very significant in real life. Different real-life problems can b...

Q: Evaluate: P(4,2)

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Q: c. The differential equation 1.25 u" + 20 u = 25 sin (t) +5 cos (t) describes a mass-on-a-spring sys...

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Q: Q4: Evaluate L(t3 + 5 sin7t). b. L(t cos5t). c. L ) 1

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace Transfo...

Q: tion to the differe where k is

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Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can ...

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Q: - Solving for the expected return: 537.06 612.25 697.86 795.67 907.07 15446 =- (1+r) (1+r) (1+r)' (1...

A: We can solve this using given information

Q: Problem 13 *** 13. A company sells square carpets for $7 per square foot. It has a simplified manufa...

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Q: x+6 The solution of - 63 is 3 x = -6 x = -9 x = 3

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Q: For the subspace below, (a) find a basis, and (b) state the dimension 9a + 18b - 3c 12a - 4b - 4c : ...

A: Given:Subspace  9a+18b-3c12a-4a-4c-6a+5a+2c-3a+b+c: a,b,c in ℝ

Q: Solve (2i - 3j) • [ (i + j - k) x (3i - k) ]

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Q: h(x) = - (x + 2)³(x – 3)² Degree Leading Coefficient End Behaviour y-intercept Roots Order of Roots

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Q: H.W Which of the following vectors is normal to the surface x?yz = 1 at (1,1,1)? (a) 4i +j+17k, (b) ...

A: Given the surface is x2yz=1 and (x,y,z)=(1,1,1)

Q: points-2 Decide which of the following statements are true. Select one: O a. If æn does not converge...

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Q: Given the following matrices, please solve the questions below: D- E- [3 1 5 A= l6 2 ol 1 ((D-E)(F) ...

A: We have to evaluate the matrix operations D-EF+AB and CDAFT. We have to do matrix addition and multi...

Q: Solve : 33x+5 = 92а+8 Ох— 21 O x = — 13 O x = –3 Ог3 —21 Ог— — 11 -

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Q: 2. Use the Newton-Raphson iteration method to estimate the root of the following function employing ...

A: Given fx=xx2-x-10-8=0 and initial guess x0=3.75

Q: Conversely, if T :V V is a linear operator such that T2 = T, show that V = kerT O imT. [Hint: 3.b, v...

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Q: (d) If F (x, y) = (5x² – y², –2xy), then f(x, y) = (e) If F'(x, y) 6y -i + 6 In(x + 5)j, then x + 5 ...

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Q: Evaluate: 5 • P(6,5)

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Q: Part 1 Mai chooses a letter at random from the word DREAM, then flips a fair coin. 1. Write all the ...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...