Define T:R³ R³ by T → Then we can write T(7) - D-[ Az where A- I1 - 23 11 + 312 - 13 12 +213

Q: Determine which of the polynomials below is (are) irreducibleover Q.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Every combination of v = ( 1 , -2, 1 ) and w = ( 0, 1 , -1 has components that add  to __ . Find c…

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Q: 1 1 2 4 1 Determent if the Rre linearly independent or linear dependent. If It is linear dependent,…

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Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

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A: Total intake of calorie = 2304 Kilocalories i.e., 2304000 calories Fat intake = 39g we know 1gram…

Q: Compute p(x) the Taylor polynomial of degree 3 of the function f(x) = In(1 + ex) around x = 0. What…

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Q: Write Newton's formula used to approximate a solution of the equation 2x³-x-15= 0 and find the third…

A: Here 2x3-x-15=0Let  f(x)=2x3-x-15∴f'(x)=6x2-1Here f(2)=-1<0andf(3)=36>0∴ Root lies between 2…

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Q: Suppose that someone deposit $9000  in an account that earns 9.0% simple interest. Express the…

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Q: Note: To create a wire, drag from the output of a component to the input of another component.…

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Q: Widget Sales Jesaki Inc. is trying to enter the widget market. The research department established…

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Q: If st", find 08/0t, as/Ou.

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Q: The table below shows the tons of material at a municipal waste site, t= 0 at the year 2000. 4 8 142…

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Q: f(x) = 3x² + 2; df = dx 6x

A: f(x) is said to be a solution to the differential equation if f(x) satisfies the differential…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: For any non zero vector u→ if we divide by length of this vector then it will becomes unit vector in…

Q: dy dx = y² y² - 1 x² - 1 ´‚y(2) = 2

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Q: M In³ + (n + 1)³ > (n + 2)³ GEGECS

A: Let p(n) be the statement 'n3+(n+1)3>(n+2)3'. 13+23=9 ≯27=33…

Q: A polynomial f(x) and two of its zeros are given. f(x) = 2x² +9x²+31x²-26x²-236x+120; -2-41 and are…

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Q: Design a circuit to take input signals P, Q, and R and output a 1 if, and only if, P and Q have the…

A: It is given that the output signal S is 1 if ad only if P=Q≠R. So, the truth table for the circuit…

Q: The function u(x, t) = exp(-x²) is a solution of the heat equation 4rt au au² 30-3422 at ax² Use…

A: Given the solution ux,t=14πtexp-x24t of the heat equation ∂u∂t=∂2u∂x2.

Q: to find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: ements in V such that for a -re, vector addition between e

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Q: Use calculus to find the function f(t) that solves the following conditions: df = k - f(t) and f(0)…

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Q: The rooms in a house are adjacent as indicated in the following table. An '*' means they are…

A: Solution: Let us start coloring the graph from vertex K and then proceed sequentially. Let us color…

Q: 4. Find an equation of the tangent plane to the surface S defined by R(u, v) = (Inv, u²v, e-³-3) at…

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Q: Without using the Primitive Element Theorem, prove that if [K:F]is prime, then K has a primitive…

A: Let α∈K\F then we have F⊂Fα⊆K. It follows that K:F=K:FαFα:F Now, it is given that K:F is a prime.…

Q: (d) Give a subset of R2 that is both open and closed, and give one that is neither open nor closed.

A: A subset of R2, that is both open and closed is the empty set. Since, there is no point in empty…

Q: Google is analyzing the decision to launch a new Pixel phone. The development costs are estimated to…

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 7 = 16 dy dx || X

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Q: -12 = 1 22

A: Given complex function e-iz=12i ∴e-iz=12i⇒e-iz=-i2⇒e-iz+2nπ=-i2⇒-iz+2nπ=ln-i2⇒iz=2nπ-ln-i2…

Q: (b) (c) (d) (e) dy=3x²(y-1) dx dy_y+2 = dx x+1 dy dx -+e*y² = 0 dy dx -= cos x tan y hotnes

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Q: dy dx = 4(x²+1), x π 4. = 1

A: We have to find an explicit solution of the given initial value problem…

Q: solve the differential equation using integrating factor. ((y(e^xy))+sin(x)) + (dy/dx)(e^xy)x = 0

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Q: f(x)=x². [-9,1] Yes, the Mean Value Theorem can be applied. O No, because f is not continuous on the…

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Q: y' + t-³y = 5t³, t #0 SOLVE THE ODE BY USING AN INTEGRATING FACTOR OR BY VARIATION OF PARAMETERS

A: The given differential equation is:                              y'+t-3y=5t3,           t≠0 It can…

Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

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Q: Solve the problem. 8) Use a graphing calculator to predict what income the company should expect in…

A: Let the model function is fx=a+bx The normal equation are given by, ∑yi=na+b∑xi∑xiyi=a∑xi+b∑xi2

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Q: An investment grows according to the formula B = 6000 x 1.0065 dollars, where t is time, measured in…

A: An investment grows according to the formula B=6000×1.0065t dollars where 't' is time (in months).

Q: 6. Model radioactive decay using the notation t = time (independent variable), r(t) = amount of…

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Q: use Equation in the picture to verify that λ and v are an eigenvalue/eigenvector pair for the given…

A: Eigen value and eigen vectors of the matrix

Q: C. Family of Curves 1. Show that with distance from vertex to foci fixed as a, the family of curves…

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Q: A woman has a total of $11,000 to invest. She invests part of the money in an account that pays 10%…

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Q: find an explicit solution of the given initial - value problem

A: First we separate the variables and then we will integrate both sides. Then we put the initial value…

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Q: Obtain the particular solution when x = -1 and y = 0 1 (2x + 3)dy = ydx + (2x + 3) dx

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Q: Solve the linear programming problem by the method of corners. Maximize P = 5x + 7y     subject to…

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Q: ∞ (a) Is Examples. Justify your answers briefly. B÷-1²1) n n+ n=1 plain your answer! conditionally…

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Q: Refer to the following statement to answer parts (a) through (c) below. The mathematician is…

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