Prove: If ū and v are linearly independent, also au + bü = cũ + dủ, then a=c and b=d. %3D

Q: 4. Find a quadratic polynomial with roots -1 and 2. A. a2 a + 2-0 B. a2- a 2-0 C. a2 + a 2 0 D. a2 +...

A: We have to find the quadratic polynomial with roots -1 and 2

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Q: polynomial 12x³+kx²-27x+20. it is divided by 2x-3 and 3x-2. the reminder become equal. then also fin...

A: First we have to find the value of k .  Then we find the reminder when the polynomial 12x3+kx2-27x+2...

Q: Exercise 4. Express the following as a power series and determine the radius of convergence: 1+ iz (...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

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Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

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Q: Consider the sequence 5, 10, 15, 20, ..., 5n + 5. a. How many terms are there in the sequence? Your ...

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Q: Use graphing paper to draw the graph of linear equations given the following conditions: 1. Given tw...

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Q: Solve the non-homogeneous linear system of first-order ODES: 2х + Зу + 4 — Зх — 4y 2e Follow the ste...

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Q: Mark each statement True or False. Justify each answer. (d) Between any two unequal rational numbers...

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Q: what is the domain of the function f(×)=(×+1) ?

A: If y=f(x), then the variable x is called the input of the function, and y is called the output of th...

Q: Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.

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Q: r(t) = (In t) i + (t+1) j a) Find the principal unit normal vector b) Evaluate this vector at t = 2

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Q: Given the following Matrices 1 1 3 2 -2 -1 -3 1 3 7 1 1 -2 4 1 C = 1 2 A = -2 3 0. -2 1 1 4 1 1 L2 3...

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Q: Use technology to maximize the following. You may round answers to 2 decimal places if desire Maximi...

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Q: 1) Write f(x). 2)Find the continuity at (x = -3, x= 0, x 2) 3) Find D & R 4) Sketch f(.3t+3) 5Find D...

A: As per the company rule, we are supposed to solve only the first three subparts of a multi-part prob...

Q: Mien spends 1/5 of her salary on a belt and % of the has P 7,200 left after making these two purchas...

A: Introduction: The division is a process of repeated subtraction. It is the inverse operation of mult...

Q: Consider the nxn matrix with entries Aij = 1/(i+2j-1), set x = [1, ..., 1]', and b = Ax. You act as ...

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Q: Find the Z-transform of the causal sequence

A: This is a problem of Z-transform.

Q: Consider the following elements of S7 4 5 6 7 7 3 2 4 1 1 2 3 4 5 6 7 1 2 3 α 5 6 2 1 4 7 3 6 5 (a) ...

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Q: Given the line L: and a linear transformation T:R R?. Let A denote the standard matrix of T and T(L)...

A: We will be solving the part (d), (e), (f) and (g) as mentioned. Let T:ℝ2→ℝ2 be a linear transformati...

Q: H.W:- Find the determinant for the following matrices: 4 6] 1. X =-1 -4 answer: X =-108 3 2.

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Q: Write the following base 2 numeral as a base 3 numeral: 10010,

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Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

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Q: Find the Z-transform of the causal sequence k20 What is the region of convergence?

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Q: D.Determine Example 2;5t. a 1. 12.9,6 e the nth turm of Lach a- a = on tt

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

Q: Situation 2: Find the length of the arc of the parabola y^2 = 4x from the vertex to a point where x ...

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Q: (X+y)²

A: we have to find (X+y)2 (X+y)2 = (X+y)(X+y)

Q: Sove the following initial value problems (a) +By-9y-0 (0)-1 (b) V+v-2y-3t (0)-0 (0) = 1

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Q: 1/10 1. Tamika loves to read and can read 25.5 pages an hour. 1. If Tamika sat down and read for 6 h...

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Q: = gradient at the poir

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Q: Give an example of a simple mathematical argument (composed of 2-3 premises and a straightforward co...

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Q: (-4)+(-1)

A: Introduction: Integer addition and subtraction are two operations that we use on integers to increas...

Q: 4. Find the solution u(x, t) of uzz = u4, 0 0, which satisfies the boundary conditions u(0, t) = 3 ...

A: The given problem is to solve the given heat equation partial differential equation with given initi...

Q: e, thank you... this is question of enginee

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: 1. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cos...

A: Solution:-As per guidelines I submit first question only

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A: Given differential equation is yln(x)dxdy = y + 1x2

Q: RATE OF HEALING. The area of a wound decreases exponentially with time. The area A of a wound after ...

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

Q: 2x3+x2-1=0 have one real root. Find the solution between points (0,1) using MOSS and Newton Raphson ...

A:  Given the equation fx=2x3+x2-1=0 has one real root in the interval 0,1. We will use the method of s...

Q: Given the differential equation y" – 2xy' + 5y = 0. Determine the first three nonzero terms in each ...

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Q: Is the area of the shaded region equal to the area of unshaded shaded?

A: This is a problem of euclidean geometry, properties of shapes.

Q: P5) For the flow field u = U + Q x x , where U and 2 are constant linear- and angular- velocity vect...

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Q: b. Recall that f(x) = 2*-1 - 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+ 1) +1, and fs(x) = f,(x) +...

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Q: b. Recall that f(x) = 2*-1 – 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+1) + 1, and f(x) = fi(x) + ...

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