Find the volume of the wedge cut from the first octant by the cylinder z = 63 - 7y and the plane x+ y = 3. ... The volume is. (Type an integer or a simplified fraction.)

Q: What is the solution of the following least norm problem min ||æ||2 zER subject to Aæ = b [3 6 9] wh...

A:  We have given 369246 

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A: As per the guidelines I'm able to give you only one answer because this question is not a subparts.p...

Q: 7) The curve C have the parametric equation: x(t) = t2 + 1 and y(t) = t³ – 1 a) Make a sketch of cur...

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Q: (please solve within 10 minutes i will give thumbs up)

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A: The roots of the quadratic equation: ax2+bx+c=0 are calculated using the quadratic formula: x1, 2=-b...

Q: 9. X - 5x2 = b, 3x, + 2x2 = b; (1) bị = 1, b; = 4 (ii) b, = -2, by = 5

A: This is a problem of linear transformation.

Q: Give the Maclaurin series expansion of Determine its interval of convergence. Approximate In(0.5) us...

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Q: 3. Solve using the simplex method the following problem. TY Subject to: 2x+y<18 Maximize Z=3x+2y 2x+...

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Q: Monotonicity Criterion and Plurality with Elimination A school board is going to hire a company to p...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: 3. Consider the periodic system y' = A(t)y, -1+ 0t 1-ost sin |-1- sint cost ) 3 cos2 2 3 3 A(t) = 2 ...

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Q: Determine the Fourier Transform of the following function. -2 <x < 0, 0 <x < 2; Problem 1: f(x) = f(...

A: Since you have asked multiple questions, we will solve the first one for you. If you want any specif...

Q: Σ [n(n+1) 2. Prove: Vne Z*, || 2 i=1 WI

A: Sum of first n terms is given as  1+2+3.....+n=n(n+1)2 Sum of square  first n terms is given as  12+...

Q: 2 Find an orthogonal basis for the space spanned by 4 and

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Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 600 X2...

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Q: Write (1-az2-bz) as a product of linear factors

A: To write 1-az2-bz  as a product of linear factors, we first find the roots of 1-az2 -bz = 0 i.e., -a...

Q: 6. Let a be a real number. Consider the series a" where an = cos(na) 2n +1° an n=0 (a) Is it possibl...

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Q: Find the maximum and minimum values of the function f(x, y) = 2?y subject to 2a? + 4y? = 24

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Q: Find the function y, of t which is the solution of 49y" + 14y'- 35y = 0 with initial conditions Yı (...

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Q: The curve C have the parametric equation: x(t) = t² + 1 and y(t) = t³ – 1 a) Make a sketch of curve ...

A: In the Cartesian coordinate system, the parametric equations use a third variable(usually "t") to de...

Q: Q: Write a program to plot the function cos(t) in the interval of t from -2Tt to 2Tt in step of Tt/1...

A: I have used python to write the program. I have divided the length of interval [-2π , 2π] by π/10, w...

Q: 22cm 9cm

A: Note: The inner and outer quadrilaterals are assumed to be squares.   The area of a square is calcul...

Q: 1. Find the eigenvalues and corresponding eigenvectors of T: R² R? where the transformation is given...

A: We have to find the eigenvalues of the linear transformation Tx1, x2=2x1-x2, -x1+2x2. For this, we h...

Q: Find the h,c,f of 12, 15 and 30

A: To determine: HCF of 12, 15 and 30

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Q: Let (X,dX) and (Y,dY) be metric spaces. If the sequence (fn) of functions from X to Y converges unif...

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Q: There are three children in the Skosana family. Each week the eldest earns R270, the middle child ea...

A: The comparison of two numbers  by division is known as the ratio. It is denoted by symbol ":" A rati...

Q: Suppose that f(x, y) = e 42? - ly + 7z + 2y then find the discriminant of f.

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Q: What is the accumulated value of periodic deposits of $40 at the beginning of every quarter for 22 y...

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Q: 1. lim f(x) = 2. lim f(x) = %3D 3. lim f(x) = 4. lim f(x) = x-2 X-2 5. lim f(x) = %3D

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Q: The general solution of the given differential equation y(4) – 6y" + 25y" = 0 is y = C, + C2x + C3x?...

A: To find- Find general solution of the given differential equation y4 - 6y''' + 25y'' = 0 is

Q: The statement (-P Q) A Q is true when? 2020 a. P: False Q: True b. P: True Q: True c. P: False Q: Fa...

A: The logical symbol "∧" is used to denote "AND". The logical symbol "↔" is used to denote "IF AND ONL...

Q: 1. lim f(x) = x2" 2. lim f(x) = X-2" %3D 3. lim f(x) =D 4. lim f(x) = X-2

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Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 600 X2...

A: Part (a) From the figure which shows the flow of traffic we obtain the equations: x1-x2 = 400x1+x3-x...

Q: Prove that if {u, v} is linearly independent, then so too is {u+ v, u - v}.

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Q: a) Prove by induction that 2 · 2 + 3· 22 + 4· 23 + .. (n + 1) · 2" = n· 27+1 for all n 2 2.

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Q: Write a Riemann sum corresponding to the following definite integral: sin x xp 1+ r5

A: The given integral is: ∫16sin x1+x5dx Let f be the function defined in the integral fx=sin x1+x5. De...

Q: 1- (x+y).(y+z).(x+ z)=(x+y)+(x +z)=(x+y).(x +z

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Q: 15. which are subgroups a. (1, 7, 49, 43) b. (1, 9. 19, 21, 39, 41, 49) e. (RO, RS0, V. H, D) (80. 1...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Rewrite the following linear programming problem using slack variables, and determine the initial si...

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Q: 1 (2r + 1)(2r + 3) 6 2(2N+ 3) 1 1 Use the method of differences to show that s=1 2N 1 1 Deduce that>...

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Q: Find the general solution of the D.E. (y^2- 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your solution...

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Q: What is the derivative of f(z) = (z³ –- (z – 1)º)*? %3D

A: Given function is f(x) = (x3 - (x-1)3)3

Q: +oo 1 ( a) Σ 4n2 – 8n + 3 n=1

A: Solution 1: Given that ∑n=1∞14n2-8n+3 Let un=14n2-8n+3 and vn=1n2    

Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

Q: Consider the following function S(x) = [1.5 – z(1- 22) + (2.25 – 21(1- 23hr + 12.625 - z(1- a Determ...

A: Given: The function, fx=1.5-x11-x22+2.25-x11-x222+2.625-x11-x232   To determine: The gradients and H...

Q: 2. Show whether the set of vectors in R*is linearly independent. Justify your answer. (1, 1, 1,0), (...

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Q: 6) Show that each of these conditional statements is a tautology without using truth tables. a) (-p ...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Date : (AV B)→~C CVD 'A D Proof : Statement Justification CAVB)~C Premise Premise CVD 2. Premise A ~...

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Q: Problem 3. Consider the function Sa³ sin(1/x), x > 0. S(x) = 0, x < 0. (i) f'(0–). Compute the right...

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Q: Assignment Divida he palynamialfGJ. by e 3oc te

A: If the polynomial: px is divided by the polynomial: q(x), then px is called dividend and q(x) is cal...