Q1. Let A be a set of nonzero integers and let be the relation on A defined by (a, b) - (c, d) whenever ad = bc. Prove that is an equivalence relation.

Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

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Q: Use polar coordinates to calculate the volume of a sphere of radius R.

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Q: If z1 = 1 – i, Z2 = -2 – 3i and z3 = 2i, then evaluate |3z,2 + 2z2 – 5z3|

A: Given z1=1−i, z2=−2−3i and z3=2i. We have to evaluate 3z12+2z2¯−5z3. Here, z2¯ denotes the conjugate...

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Q: 1. Form the differential equation by eliminating the constant A and B from y = emx (A cos nx + B sin...

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Q: L[ cos? (t) – sin²(t)] = ? %3D 2 S s2 -4 s² +4 2 s2-4 s2+4 O c

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Q: Let X be a continuous random variable with density and distribution functions f and F, respectively....

A: This is a problem of random variable and distribution.

Q: 1) Let B = be an orthogonal basis, y = and let W = span(B). %3! A) Calculate the orthogonal projecti...

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Q: 4. Solve the differential equation by separable variable method, (ex + e-*): dx e-*) = y?.

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Q: convert the visual Basic equation to normal mathematical equation:- ((X2+Y'4 )0.333 +(x-y0.5) 0.142

A: The symbol: "^" is used to represent exponents. For example, the expression a^2 is equivalent to the...

Q: L = ? s3- O 2/3 t^2 O 2 142 O 3/2 t^2 3t*2

A: Using the table of Laplace transformation, it can be written that: Ltn=n!sn+1.

Q: After discussion, six people who had supported candidate B over candidate P switch their preferences...

A: Candidate P will be selected from the second vote.   Plurality with Elimination Method: The candidat...

Q: Express the following vectors in Cartesian (component) form. a) f has magnitude 20 and direction N40...

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Q: (a) If z = w-2z, show, without breaking into real and imaginary parts, that 3z (Hint: take conjugate...

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Q: 75 of 500?

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Q: yı=6x2+2x-5 , y(0)=7

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Select all statements that are true for all n × n nonsingular matrices. O ||4||2 = p(A). p(A) 0 the...

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Q: (A V B) → ~c C VD A →~B :. A → D

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Q: 2. Let y be the curve in R3 given by t (t, 2 cos t, 2 sin t) for 0 <t < 47. Compute ds

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Q: Part II: Prove/Disprove the following 2. Let R be the relation on Z, defined as follows: Vm, n e Z, ...

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Q: 2. The total cost of a federal government program in millions of dollars is shown in uue table below...

A: We will use the basic knowledge of cubic splines interpolation to answer this question. Please note ...

Q: and a For the sequence an2"-1 identify the values of ag Multiple Choice O 21.2-5 end ag9 ta35and eg7...

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Q: Question 6 8(x,z) = 2xz+3z-x X-Z Let f(x,z)= Z. 2z2–3 Blank 1: Find the total differential of f(x,z)...

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Q: 2. Let y be the curve in R° given by t (t, 2 cos t, 2 sin t) for 0 < t< 47. Compute y? ds

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Q: 1. Let x be Russell's age now. Represent his age ten years in the future.

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Speed-8o km/hr Distance- 14.4 (find time )

A: It is given that the speed is 80 km/h and the distance travelled is 14.4 km. We have to find the tim...

Q: DEAN Determine t he intervals fon the following senies convergence (a) n-1 (6) n-1 5 (5x)"

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Q: Q1. The region R is bounded by the x-axis and the curves y = x2 and x2 + y? = 2. Sketch the region a...

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Q: Problem 7. Consider the following matrix: 1 7 6 -5 4 1 B = 3 1 6 -1 2 4 Using the adjoint method for...

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Q: Integrate the following function both analytically and numerically. Use t multiple-application trape...

A: According to guidelines, we can solve only one question. 

Q: k 35. Let an ER for all n E N. Let Sk Σ An. n=1 a) Then An converges if and only if {Sk} converges. ...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) (1 + x)5 (-1")(n + 4) yn...

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Q: Find the Laplace Transform 3.[t3 - 8t2 + 1

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Q: Required information NOTE This is a mult-part question Once an answer is submitted you wilf be unabl...

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Q: DTIRIS differentiable on I and ge)= Por hGN and JeR what is CJaf2 TP P R isdifferentiable on I and f...

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Q: 3.2.10 Example: By method of contour integration, prove that dx = t /4 (1+ x }

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Q: In a mechanical system, acceleration a, velocity v, and distance S, are related by the simultaneous ...

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Q: b Dos. either (onverg Series? why? s witing the G for cach of the

A: This is a problem of series.

Q: a. 6167 in Egyptian numeration. b. 2958 in Roman numerals. c. 61,888 = 17 x 60² + 11 x 60 + 28 in Ba...

A: This is the problem of the ancient number systems, counting.

Q: Required informetion NOTE This is a multi-part question Once an answer is submitted, you will be una...

A: This is a problem of set and function.

Q: Please solve the differential equation yı=6x+10x4+12e3x+7/x5

A: We have to find the general solution of the differential equation dydx=6x+10x4+12e3x+7x5. It is a fi...

Q: A farmer is planning to raise wheat and barley. Each acre of wheat yields a profit of $50, and each ...

A: We have to construct a linear programming problem for the given data. Let P be the objective functio...

Q: Suppose we are solving a maximization linear program, and we arrive at the following simplex tableau...

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: – 1 (f •g)- = g-1 •f-17

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Q: Fill in the blank with an appropriate word, phrase, or symbol(s) for parts a through c. a) The appor...

A: All answers are given below. 

Q: 9. Use Euler diagram to determine whether the conclusion is valid or not based on the given assumpti...

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Q: Three coplanar forces are given as follows: A = 12 N at 90°, B = 15 N at 190°, and C = 10 N at -35°....

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x² + 2 and y = 4 - x² ab...

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Q: Determine the volume of the solid obtained by rotating the region bounded by y = (x-1)(x-3)²and the ...

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