The absolute minimum of

Q: d. P = 4x1 – 2x2, Q = 2x1 + 6x2; D is the interior of the ellipse: x1 = 2 cos 0, x2 = = sin 0, 0 E [...

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Q: Draw a line to show how white can escape from check. Don't forget: move, block or capture! 1. 2. a b...

A: We have to Draw a line to show how white can escape from the check.

Q: Ssin^3 (2/3 x) cos^4 (2/3 x) dx

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Q: Problem Solving 1. Find the values of x and y using Determinant Method and Gaussian Elimination 4х —...

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Q: Let a be a real number. Consider the series where a, = cos(nr), 2n +1' n=0 (a) Is it possible to fin...

A: For  a series    ∑an   If L=limn→∞an+1an<1 then series will be convergence  If L=limn→∞an+1an>...

Q: Solve the differential equation (D3 – D² – 4)y = 2x2 – 4x – 1+ 2x?e2x + 5xe2x + e2x

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Q: Show illustration and define variables used. 1. A statue 10 feet high is standing on a base 13 feet ...

A: Given: Statue is standing on a base which is 13 feet high, and height of statue is 10 feet. Height o...

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.

Q: 3. Consider the matrix B = a. Find its eigenvalues and the corresponding eigenvectors. b. Orthonorma...

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Q: Choi Home Repair needs to accumulate $22,000 in 6 years to purchase new equipment. What sinking fund...

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Q: Solve y'- 8ry = 2r. We will first find the solution y1 to the complementary equation, and then use v...

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Q: s - 3s2 – 2 S .3 s° + s

A: It is known that:  L-1as2+a2=sinat L-1ss2+a2=cosat L-11s=1

Q: Let V be a finite-dimensional vector space over a field F, and let T:V → V be a linear transformatio...

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Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied by the function f defined by f(x)...

A: Please see the attachment

Q: Ans 1- Prove L{et coskt} = S+a We Know that ast Hen L{eat.coskt}= fat at coskt dt -st-at • coskt dt ...

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Q: af, Question 1.3. Prove that if (ak) is such that E, ak is convergent, then for b E, bk is also conv...

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Q: What are the binding constraints of the feasible region of the optimal solution?

A: Constraints 1 and 2 Please see the attachment 

Q: 9 y = Arctan(2+x 1-2x 10. x = cos't ; y = sin't

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Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior...

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: The function is xn+1 = 1+0.7xn

A: This is a problem of the dynamical model.

Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

A: Solution:-

Q: +oo 1 (2n)! ( a) Σ ( c) Σ-1)" 4n2 – 8n + 3 n=1 2" n=1 +00 In n (b) Σ-1)" n2 n=2

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Q: Let A={a.b.c.de) and S, T, U and V relations on A where S= {(a.a), (ab), (bea), (bd), (Ge), (ed), (a...

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Q: find the area of the shaded region below

A: The rectangle with length L and breadth B then area of rectangle is  Area of rectangle =Lx B The tri...

Q: Given the surfaces: S : (r – 1)2 + (y – 1)? = 1, S2 : r = y, Sa : 2? = -(z – 1) Sa : x+z = 1, S : r ...

A: Given the set of surfaces S1:x-12+y-12=1S2:x2=yS3:x2=-z-1S4:x+z=1 in the 1st quadrant.

Q: Proposition 11. Let ao = -1, a1 = 1 and a, = 7an-1– 10an-2 for integers n > 2. Then the closed form ...

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Q: 2. Assuming chop arithmetic with b = 10 and m = 4. Sum the numbers 999.9 + 99.99 + 9.999, from left ...

A: We want to sum 999.9 + 99.99 + 9.999 Here b=10 and m =4

Q: Give the Maclaurin series expansion of f(x) = ln(3 − 2x). Determine its interval of convergence. App...

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Q: u(x, y) be a harmonic function in a domain S. Show that 18.5. Let u = all partial derivatives ur, y,...

A: If u is harmonic then it satisfies laplace equation. 

Q: (1) In this problem you will work with a new definition. Given a sequence {an}0, we define its buddy...

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Q: Suppose you invest $190 a month for 6 years into an account earning 6% compounded monthly. After 6 y...

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Q: 3. f(t) = 2e3t sin 2t 3est cos 2t %3D -

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Q: Find the inverse of the matrix ... Choices: -3 1 3 ... 10 [-7/2 3/2 8 c. 10 [7/2 3/2 1/2] a. 4 1 4 1...

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Q: For integers n >1, 2 3 1 + 2! n 1 1- 3! 4! (n+ 1)! (n + 1)!

A: solving the problem using induction:

Q: 1. Let x E Z. Prove that if x4–1 is not divisible by 4, then x2 – 4.x– 3 is also not divisible by 4.

A: As per our guidelines we are supposed to answer only one question.   So, here is the ques. no. 1

Q: y У — х. y' = 2+ sin

A: Given y' = yx + siny-xx    ---(1)

Q: Solve & Discuss It! Gabrielle wants to cover the floors of a room and a haliway in her dollhouse. Sh...

A: Let us consider a rectangle of length L and breadth B then  area of rectangle is  area of rectangle ...

Q: n - Proposition 10. Let n and k be positive integers. Then k = n k k – 1

A: We will expand both sides then equate. 

Q: 2 -8 -2 Let u = -1 v = and w = -7 -3 8 -13 We want to determine if {u, v, w} is linearly independent...

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Q: rz cos 0 12. Let F(r, 0, z) = rz sin 0 (а) Find F'. (b) Find det(F').

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Q: 1 (а) 4n² – 8n + 3 n=1 In n (b) E(-1)". n2 n=2

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Q: Consider the initial value problem, (6z – ly)y' = (x – 8) o + 2, y(z0) = y0 If ro - 7, then for what...

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Q: Suit Sales The number of suits sold per day at a retail store is shown in the table, with the corres...

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Q: 1. Using the properties of determinants, solve with a minimum of calculation the following equation ...

A: We have,xaa1axb1abx1abc1=0Applying R2→R2-R1R3→R3-R1R4→R4-R1 we get,xaa1a-xx-ab-a0a-xb-ax-a0a-xb-ac-a...

Q: 2. Give an example of the following (justify the validity of your examples): (a) unbounded sequence ...

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Q: Question 1.3. Prove that if (ar) is such that E, ak is convergent, then for br Eo bk is also converg...

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Q: Q7: Write the treatment plan for the following risk "Possibility of wrong data entery is 6.5%"

A: Solution:-

Q: 9. Let I = {A1, A2, A3} where A_i={1, i-1, i+1} for all i = 1,2, 3. Then |UT| = 6.

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Q: Ísin^5 (2x) cos (2x) dx, for the indicated integral, what would the first step be? * Use u = sin 2x ...

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Q: The sequence n0.1 converges if

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