1) ciated with the quadratic form )² – 5x,x, + 6(x,)2.

Q: %3D 2. Prove that -24y of 3. =2x

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Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: Use Cramer's rule to fins a solution: 3x-2y=4 6x-4y=0

A: Cramer’s rule:

Q: 5) Show that the circumference of the circle Y - 1 is 2n x +

A: See the details solution in below

Q: -10- If the required is a point, use (x, y) form.

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: Q2/ fincd lachre trans form for at X- 3x+2X=lee

A: given equationx"-3x'+2x=1-e2tby assuming that initial condition is zero.x"=s2X(s)and x'=sX(s)and…

Q: A natural cubic spline is defined by Sa,(x-1)' +b,(x-1)² +c, (x - 1) + d, S(x) =- if 0sxs1 (x- 1)' +…

A: Step:-1 Since, we know for cubic spline S(x)=S0x=a0x3+b0x2+c0x3+d0…

Q: ) Find the fomily of the equ ation of all lines in 3-space perpen diuler to 2x -y +2u u Given line

A: Family of lines contains parameters.

Q: 2. A chocolate-cake is triangular in shape. Each side measures 10 inches. If the cake is subdivided…

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Q: 8. Express as a polynomilal. Arrange your answer from term with highest degree to lowers degree *…

A: SINCE YOU HAVE ASK MULTIPLE  QUESTION IN SINGLE REQUEST. SO WE WILL BE ANSWERING ONLY FIRST…

Q: (b) In(2x2 + у — 23) %3D х

A:

Q: Prove that (3-2)(x+2) = 3+2i ifitues.

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Q: Find the values of a, b, c, d, e, f, g and h such that ax, S(x) = { 6(x – 2)³ + c(x – 2)² + d(x – 2)…

A: GivenS(x)=ax3,0≤x≤2b(x-2)3+c(x-2)2+d(x-2)+e,2≤x≤3f(x-3)3+g(x-3)+h,3≤x≤4such that S(x) is a natural…

Q: Solve the folowing equation on [0,2pi) 2sqrt2 +4cosx=0

A: In the given equation, the cosine function is the trigonometric function:   Rewrite the given…

Q: b) By using De Moivre theorem, calculate in the form of a + bi: 4. i) (VZ – iv2)* | ii) (1– i)6

A: Given (2-i2)4 &   (1-i)6

Q: 4.) write the equaitcon bE a grapn that Shape Of has gapa but equation 3 and aPeriod Midline Df…

A: Explanation of the answer is as follows

Q: - Show that the area of the triangle whose vertices are the [x1 yi det X2 Y2 A - points (x₁, y₁),…

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Q: (a) through the midpoint rectangular rule and (b) through the trapezoid rule. Discuss your results…

A:

Q: 7. Find a pair of integers (x,y) such that 4021x + 2014y= 1.

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Q: Hew.b prove that CAXB)-Ais atways-Zero

A: Topic:- vector  algebra

Q: Calculate x - z. (Image 24 JI 8х -2 2x +1 3z z + 22

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am…

Q: Investigate the stability of the following sys (Consider the quadratic form as lyapunor system.)…

A:

Q: ☺ show dhat 2) G(x,x) => Uola) Uorlo) were G is green funcfion

A:

Q: Suppose X has n elements and Y has m elements. How many bijections X → Y are there?

A: To find: The number of bijections X → Y are there. Given information: X has n elements and Y has m…

Q: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

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Q: (4+38)-(9 -J2) Rectangular ?

A:

Q: Point M is the midpoint of JK find the length of JK 5x+3 3x+7 K.

A:

Q: I need help doing number 7

A: We start solving the given equations simultaneously.

Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

A:

Q: 3. 2. If A is 2x2 matri x aud Á = A, but %3D A+ A. show that A= 0

A: The solution is :

Q: The formula in cell C2 is = A$2. Auto fill is used by dragging C2's auto fill box across to D2, E2,…

A:

Q: Q) prove that (1) -2P xSinx 2.

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

Q: To avoid collisions with invasive species of aliens, new imperial regulations allow only positive…

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Q: Ques. Apply a change of vaviable X=Py txansforms Hhe quuardratic form 2. into a quadratic form with…

A: Consider  Rx=5x12+6x22+7x32+4x1x2-4x2x3 In matrix form: XTAX=x1x2x352026-20-27x1x2x3 Here,…

Q: Find all points where fex)= |21x-131 fails be be differenbiadle

A: Given:- f(x) = |21x-13| To find:- All points where function non differentiable

Q: Prove that the area of a square whose diagonal has length d is A = A = 1/2d². A square with a…

A: A square has diagonal length of d, we have to find its area.

Q: Find all triples of integers (x, y, z) that satisfy x² + 2y² = z2.

A:

Q: Describe the tronsformaton that must be performed, On the of y=&5)*-3 gaph of y= xh to Obtuin the…

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Q: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: help!! the assignment is on quadrilaterals, similar triangles, and circles! I really need this…

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Q: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: how that ℝ3 = span( 1 1 2 1 2 1 0 3 -1

A: We want to show that  any vector can be written as linear combination of the three  given vectors…

Q: Use Green Theorem to Evaluate y x²dx – x²dy where C is left half of x² + y² = 25

A: Note that left half of the circle x2+y2=25 means the second and third quadrants. Now, in the second…

Q: 2. In OABCD, ZA = x, ZB = 2x +60. ZD = Draw a sketch to help you.

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Q: Find a polynomlal f (x) of degree 3 that has the following zeros. 5, -7, 6 Leave your answer in…

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Q: A natural cubic spline is defined by [a, (x – 1)' + b, (x – 1)² +c, (x – 1) + d, f(x) = if 0<x<1 (x…

A:

Q: Use Green Theorem to Evaluate |y x²dx – x²dy where C is left half of x² + y² = 25

A: