Let A = P= -19 -8 -8 -19 4 -4 4 -4 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PTA -25 H D=

Q: The diagram shows the graph of a sinusoidal curve, drawn in radian mode. a.) Write an equation for…

A: To determine: Equation of the given sinusoidal graph. To find: Three x-intercepts shown.

Q: Find a parametric representation of the solution set of the linear equation x+y+z=1 x=1-2t, y=t, z =…

A: Solution

Q: Answer the following using Polya's Four step in Problem Solving. 5. Find two numbers that have sum…

A: Polya's Four step in Problem Solving. Understand the problem Strategy to solve the problem Solve…

Q: (f) Three of these transformations are shape-preserving. Which are they? UJ OK OL COM ON

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Q: 1.The straight line A B having the following data: A (1,3), B (4,1) left of A. Distance between…

A: Given: point A= (1,3) point B=(4,1) projector distance PD=6cm

Q: 1. (a) Find the domain and range of f. (b) Draw a contour map of f for k=-1,0,1. (c) Sketch the…

A: (a) For the given function, f(x,y)=y+x+2, Assume f(x,y)=z; Here,  z=y+x+2 The domain of z has all…

Q: Q/ if (Xi, Txi) and (Yi, Tyi) are topological spaces then if X₁ Yi Prove that X₁ xX₂Y₁xY₂ Where…

A: We will use the basic knowledge of topology and set theory to answer this question correctly and…

Q: 9. E is the binary relation defined on Z as follows: For all m, n E Z, mEnm-n is even. Is this an…

A: Here, E is an equivalence relation on Z. To show this,  we will show that E is reflexive relation,…

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction…

A: The solution is given as

Q: 10. (A is the relation defined on Z as follows: for all x, y = Z, x Ay ⇒x=y (mod 3). Describe the…

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Q: You must use an appropriate formula as part of your work for every calculation problem. A group of…

A: There are total of 6 people , they can be arranged in 6! ways  Therefore the number of ways in which…

Q: 10 1 5.Let A -1 1 1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=…

A: Some times permutations matrix P not needed.

Q: 80% 1 75° 2

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Q: t, 01 1 a.) f(t) [m (sh w + (cos w - 1)] cos wt + [[ -[sin sin OLL - cos w + sh w]]sin wet dw - 1…

A: Given the function is ft=t0<t<10t<0, t>1

Q: 1 12+10 -40 j -3j-5 2 - 2 - 7 - 1 2j 4j + 2 4 X - 10 13 -5 18 -9 -15 -5 -5-j 10-2j

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Q: What is the class width (i) if one of the class interval is 18-26?

A: If class interval given is 18-26 The class width is difference between upper interval and lower…

Q: 3) Evaluate the iterated integral by converting. the to polar coordinates 2- ) √x²+y² dy dx dy dx…

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Q: (2) Let the sequence (an) CR be monotone increasing and bounded. Prove that lim an = sup{ann € N}.…

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Q: Solve the system of differential equations. X1' = 6x1 + 2x2 = - 2x1 - 10x2 x1 (0) = 2, x₂(0) = 22 x₁…

A: Solution

Q: Problem 2: Express in partial fraction form the signals, then compute inverse Laplace transform 3 2…

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Q: d² +4 + dt² dy - 6y = −12 ; y (0) = 1 dt y (0) = 4, y" (0) = -2

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Q: Let f(x) in F[x] be a nonconstant polynomial. Then the following statements are equivale

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Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial pass through the points…

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Q: (x² - y²) dx + xy dy = 0

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Q: 1. function f from {a, b, c, d] to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f: ZxZ→…

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Q: Prove the absorption law of x + xy = x using other laws of identi

A: to prove x+xy=x x+xy=x1+y use the identity law x+0=xx·1=x hence,  x+xy=x·1+x·y

Q: 3. a) Describe the translations applied to the graph of y=x² to obtain a graph of the quadratic…

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Q: 1. Evaluate the given integral Q. -2y-2 a = 1₁² 1₁² Q (xy - 1) dx dy Your answer 2. Sketch the…

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Q: 16. lim (2-3x) = −4 x → 2

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Q: Identify whether the following sentences are propositions or not. If it is a proposition, evaluate…

A: We define a proposition to be a sentence that is either true or false, but not both.

Q: 1. 2 3 C Find the first order partial derivative of e-³2² + x²³y²¹2²³ 32 4-5 f(x, y, z) = (-³2 W =…

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Q: 3. Suppose i h(x, y) log(3x) Actan (¹) Find h(x, y), hay(x, y), and

A: Solution : z=h(x,y)h(x,y)=log3xtan-1y4 hx(x,y) is partial differential of h with respect to x,…

Q: 5. Determine all possible degree sequences for graphs with five vertices containing no isolated…

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Q: 2. Find the Maclaurik a. f(x) = 2. la f ....

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Q: s(1) = {" 0 1+ jwe ¹+jw (-w+j)² Given: f(t) a.) -t te -1<t<0 otherwise

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Q: ) find w=4 +iv if the function. in term of 2 is f(z) = (2-32²) (2Z+2)

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Q: Let M be the portion of the cylinder x² + z² = 1, 0 ≤ y ≤ 3, oriented by unit normal N = (x, 0, z).…

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Q: Q3. (a) Find the binomial expansion of (1 − x)-¹ up to and including the term in x².

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Q: Laplace transform THI f(t) = 3 sint cost

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Q: Bacteria grow in a certain culture at a rate proportional to the amount present. If there are 120…

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Q: J Perform two iterations of Muller's method to find the root of the equation x³ -x-1=0 Take x₁ = -1,…

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Q: ind a function ƒ(x, y, z) such that Vƒ = (4z, 3y², 4x). Use symbolic notation and fractions where…

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Q: When writing a matrix in row echelon form using gaussians elimination, is there only one correct…

A: Solution:-when writing a matrix in row echelon form using gaussian elimination,

Q: 7. What time is it? 8. Read this carefully. 9. x + 1 = 2.

A: This is a problem of Logic.

Q: 1-24. An electric winen lifts & weight on the ent of a 3-m sib pole. Determine angle 5.5m you

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Q: How many number between 10 and 20 give a given remainder of 2 when divided by 3

A: Step 1 : Understand the problem We need to find the numbers between 10 and 20 that gives remainder 2…

Q: xif 0 1 Tif if

A: We have to solve given problems:

Q: 1 What is the direction of fastest increase at (5,-4, 6) for the function f(x, y, z) = x² + y² + z²…

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Q: 8. ) Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b),(b,…

A: Solution

Q: 3/ Find Valke of integral Sx dx

A: Value of the integration