Question 1. Let qA(x, y) = 4x² – 12xy + 9y? be the quadratic form of a matrix A E M2,2. Is A positive definite? Yes No

Q: 2 Integrate the function f(2) = (z - 10i) from z = 0 to z = 5 + 5i along the line x = y.

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Q: Determine if the series converges or diverge: n Zn4 + 1 (-1)3n n=1 Consider the power series. Use th...

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Q: (24) Let elt-x)A - B(x) 9(A) = (25) et Differentiating o(A) and setting the derivative equal to zero...

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Q: plz solve it within 30-40 mins I'll give you multiple upvote

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Q: er quickly

A: 1. Given,                 ∫02∫03y∫x2+3y28-x2-y2dzdxdy

Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.425 ...

A: Given figure is   where  Area A=1.425Area B=2.56Area C=5.843Area D=1.764

Q: Current Attempt in Progress Find the solution of the initial value problem y"+ 4y'+13y = 0, = 0, y =...

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Q: -9 15 21 -3 7 -2 7 -11 -17 Select an Answer 2. -2 -6 -1 -3 1 4 Select an Answer 3. 1 -5 -8 -2 -5 -1 ...

A: This is a question of vector space.

Q: Determine the a, of the Fourier Series of: f(t) = { -3, 3, -1<t< 0 0 < x < 1

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Q: Complete the proof of Property 4 of the following theorem by supplying the justification for each st...

A: The required justification is given below

Q: Explain why F, contains a primitive nth root of unity if and only if p = 1 mod n. Hint : Use the dis...

A: To prove  Fp contains a primitive nth root of unity if and only if p≡1mod n (or n divides p-1).

Q: Find the selling price of a DVD set which costs Rs. 2039 and the markup is 30% on cost. What is the ...

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Q: Fit a cubic spline to the following data to determine y @x =1.5 2 4 7 10 12 y 20 20 12 7 6. 6.

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Q: How many ways are there to arrange the letters in the word SIERPINSKI? How many arrangements begin w...

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Q: п — 1 The infinite series > is divergent. Then for any nonzero constant c, the series 2n + 1 n=1 Σ п...

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Q: 2. Country X decides to run a simulation to determine what would happen if they went to war with cou...

A: We will use the basic knowledge of ordinary differential calculus to answer this question properly, ...

Q: 2. 8 cos + i sin 8 8 10 + i sin 16 cos 16

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Q: x2 +1 3. xe dy + dx = 0

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Q: The sum of the length and girth (perimeter of a cross section) of packages carried parcel post canno...

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

Q: Find AB if A = 2 1 -2 -1 1 1 B = 2 -2 -2 -1. 2 1 12 8 4 2 1 12 8 0 4 0 1 12 6 12 6. 4.

A: We have to find product matrix AB

Q: dy 2. х 3y : = x2 dx

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Q: The solution of which linear inequality is represented by the graph? 4- 2- -4 -6- CLEAR SUBM -6x +5y...

A: Inequality: An inequality is a mathematical expression in which both sides are not equal and we use ...

Q: Übtain the solution to the following differential equations: 1. y'+3y=e, y(0)=4 2. y"+7y'+12y= 0, y ...

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Q: Set C a. y x b. y= x+4 C. yx

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of ...

Q: H.W: Evaluate the integral: 11-x 1 || | dydzdx 0 0 x+z

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Q: 1 -2 e. A = 3 31 1. 2.

A: Given A=1-20315-123 We will find the inverse of matrix A that is A-1 by the adjoint method

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1 ...

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the volu...

Q: Let f : {0, 1}2 → {0, 1}³. f(x) = x0, i.e., append a '0' to the end of string 'x'. What is the range...

A: If we write explicitly the images of f, then     f(00) = 000, f(01) = 010, f(10) = 100, f(11) = 110....

Q: Jackson sells two cars. Each car is priced at Php 450,000 and his commission rate is2%. How much com...

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Q: eed the answer q

A: Given,              2x1+x2-x3=1  x1+2x2+x3=8-x1+x2-x3=-5

Q: a 1 In parts (a) - (c), prove that for all n E N: (a) n-1 k k=0 (b) ¿(:)-- 2n+1 k k-0 (c) E(-1)* k=0...

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Q: (x + 7)" 2n Vn2 – 1 Consider the power series > n=2 1. Use Limit Comparison Test to show that the se...

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Q: Solve the initial value problem. -2 X' = AX, X(0) = , where A = 5 2 [2 sin 2t+-4 cos 2t] e2t -5 cos ...

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

Q: Use Theorem 7.1.1 to find c{f(t)}. (Write your answer as a function of s.) f(t) = 10t - 5

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Q: Find the inverse of the matrix and its identity matrix A= 4   2  - 3       1  -1   2       5    3...

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Q: 1. Find the divergence of vector O = p?sinØ ap + z aø + pz aż and evaluate at these points sec O (1,...

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Q: Which statement about the distance between 6 and 0 and the distance between the opposite of 6 and 0 ...

A: Distance between two entities is the length between them Distance is a positive scalar quantity Dist...

Q: Solve the given linear system using: 1. Gauss-Jordan Method ( Elementary Row Operations ) H. Cramers...

A: The given system of equations                                              x+3y-6z=-233x-2y+3z=165x+...

Q: Question 4: At what rate of interest compounded semi-annually for 8 years will Rs. 3,150 amount to R...

A: Let us consider the principal amount be P.  The amount will be A after t years at the rate of r% for...

Q: if A = {1,2,3 } , B. {4,5},U={ 1,2,3, 4,5} %3D %3D find: A -B = AUB = A OB = Aʻ -B' = PCB) = %3D %3D...

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Q: How much money would have to be deposited now at 4.5% interest compounded monthly to  accumulate to ...

A: The compound interest formula for an amount $P invested for t years at an interest rate of r% compou...

Q: Problem 1. Solve the linear system Až = 6, where -- - - A:= 2 -5 and b:=

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Q: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base m...

A: Introduction: The lateral surface area of a right triangular prism is given by, LSA=perimeter of bas...

Q: Find the selling price of a dvd set which costs Rs2109 and markup is 30%on cost.what is the amount p...

A: Given: Cost price of the dvd set is Rs 2109 Markup = 30% on cost price.

Q: Evaluate the moment Mx and M, of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

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Q: Find Ix, Iy and Io for the first quadrant area outside the circle r= 2a and inside the circle r = 4a...

A: Moment of inertia of a region A  about x-axis Ix=∫∫Ax2dA about y axis Iy=∫∫Ay2dA about origin Io=∫∫A...

Q: Try to fit any two moving averages models to the following data and discuss its performance. YEAR 20...

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then...

A: We have to find the Laplace transformation of f(t) using definition of Laplace transformation.

Q: Given the series: 3 k k=1 does this series converge or diverge? converges diverges If the series con...

A: We have to check weather the given series is convergent or divergent.

Q: Use De Moivre's Theorem to find the identity of the following: a. cos 80 b. sin 90 c. cos 100

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