QI/ Find the volume of the solid generated by revolving the region bounded by the lin (y= x+3 ), and the curve ( y= x+1 ) in the first quadrant about the x- axis

Q: exV - 1 ZA Let f(x, y) X + y - 1 lim (x,V) (1, 0) f(x,y) does not exist, which one of the following ...

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Q: Given V= (4,-3.1) is ON -bus in RB find the projection Vo of V to

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Q: 3. Use the binomial theorem to find the coefficient of x° in (x+2)3 2. Use the L theorem to find the...

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Q: Discretize the differential equation y"+y' +4ty= {t – )), y'(0) = 2, y'(3) = -2 with step-size h =

A: The differential equation given is as follows y''+y'+4ty=δt-32, y'0=2, y'3=-2 The central difference...

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Q: 2. In 1998, the average annual cost of a public college was $8,850 and costs were climbing by 8% per...

A: 2. The general form of the formula is final value = initial value×1+r%t The formula we have to use h...

Q: Assume that if n is odd, An = if n is even. Which of the following are true? (2 marks) a) The interv...

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Q: Given: A e M2x2(R). a. Given T: M2x2 (R) → M2x2 (R) as T(M) = AM, prove that rank (T) = 2rank(A). b....

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Q: (a) Find parametric equations for the line through (S, 5, 6) that is perpendicular to the plane x-y+...

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Q: Use polar coordinates to find the volume of the solid that lies below the paraboloid f(x,y) = 36- 4x...

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Q: 2. Maximize. z subject to 2x1 + 3x2 – 4x3 = 3x1 - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: A) Find 8-bit 2's complement of 68. b) Find the 8-bit representation of -52

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Q: 6. Compute the flux of F = [0, 0, z²] through the spherical surface S given as the upper hemisphere ...

A: To find- Compute the flux of F→ = 0, 0, z2 through the spherical surface S given as the upper hemisp...

Q: 1. Given the following complex numbers: z1 = 2 – j, z2 = -3+ j4, z3 = -5 – j6, z4 = 2 + j3 Determine...

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Q: Assume that, below, A is row equivalent to B. Find bases for Nul A and Col A. 11 2 -3 6 1 10 1 11 A ...

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Q: Let A be the set of all strings of 0's, l's, and 2's of length 4. Define a relation R on A as follow...

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Q: Q.1: Prove that A. A-1 = 1 where -1 1 2 A = 3 -1 1 %3D -1 3 4 (Hint: Use Gauss- Jorda

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Q: Siven a mean, standard deviation, and a raw score, find the corresponding z-score. Assume the distri...

A: Given mean, standard deviation and raw score to find the corresponding z-score.

Q: Find the Taylor polynomial T(x) for the function f centered at the number a. f(x) = x + ex, a = 0 T3...

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Q: If F(x, y, z) = z - f(x, y) and s is the graph of z = f(x, y) and (a, b,c) is a point on the surface...

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Q: Find the Laplace transform of the following: 1. e3t cos 2t 2. sinh3 4t 3. tet-lu(t – 1) 4. t cosh 2t...

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Q: Find the coordinate vector [x]g of x relative to the given basis B= {b, , b2}. 3 2 b, ,b2 2 -7 - 5

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Q: Show that the Vingof CamPlex humbers CFst Can be imbedlaling inaring off 2x2 matvices (Mzn

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Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

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Q: Approximate the sum of the series correct to within 0.00001. (-1)" n° 9 n = 1

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Q: x2 49. у — 50. x - 1 х3 + 4 51. у — 52. 2.x + x? + 1 53. у 3 54. x? + 1

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Q: Maximize. z = 2x1 + 3x2 – 4x3 subject to 3x, - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: then ö(x, y) he value of fC

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Q: Note: Show your work for theses problems. However, you may use a computer for matrix arithmetic. 1. ...

A: Use the slack variables to convert the inequality into an equation.

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Q: Find all values of the unknowns which satisfy the matrix equation: [2 + i] [i O 2i 3illz- 11ly| = 2i...

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Q: Using a method of this section or separating variables, find the general solution. If an initial con...

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Q: 6. Below are several statements about compact sets; some are true and some are not. Prove the true o...

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Q: 8. Without solving the following differential equations verify if the set of solutions is a vector s...

A: For the solution of the problem follow the next steps.

Q: Find as for the sequence defined by an 2ап-1 + 3, ао :1 (A) 11 (В) 29 (C) 61 (D) 17

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: R.4. Prove that for every integer n, n³ is even if and only if n is even.

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Q: Question 2 Use the Alternating Series Estimation Theorem to find the minimum number of terms of the ...

A: We have to find the number of minimum terms of alternative Series.

Q: Q 2. Sultan caught three fish. The weights of the fish were 3 pounds 7 ounces, 2 pounds 10 ounces, a...

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Q: 2. Please use the Corollary of La Salle's Invariant Set Theorem to prove the asymptotic stability of...

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Q: Let D be the set of all finite subsets of positive integers. Define a function T:Z+ → D as follows: ...

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Q: Romberg integration is used to approximate dx. 1+x3 If R11 = 0.250 and R22 0.2315, what is R21? %3D

A: Solution 

Q: Find the interquartile range of the data set. {-4, -6, -9, -3, -2, -4, 0}

A: Introduction: Median is a measurement of central tendency of a given statistical data. When we arran...

Q: 1. (Divisibility) Let a, b e Z with a # 0. We say that a divides b if there is some integer k such t...

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Q: Question 2. Let G be a finite group, H 3 G, N 4G, and gcd(|H|, |G/N|) = 1. Prove that H 3N.

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Q: Convert 458 to binary notation. Convert 11001012 to decimal notation.

A: first -  decimal to binary conversion  second- binary to decimal conversion

Q: 2- find the absolute max.and min.of the function P : x*+y on the closed triangle Plate bounded by th...

A: Given function is f=x2+y2  is bounded by closed triangle plate bounded by lines x=-2, y=-2 and y+2x=...

Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: Part II: Recursion (10 pt.) 7. Give the first six terms (including the initial terms) of the followi...

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Q: roblems 1.14 through 1.23, determine (a) the order, (b) the unknown function, and (c) the pendent va...

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.