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Q: rank(AB) = rank(A) – dim(N(B") R(AT)) -

A: Let A∈Mm×n,B∈Mm×n The mapping A:Fn→Fm,B:Fm→Fn RankA+Nullity A=nRank B+Nullity B=qRank AB+Nullity…

Q: Find 0 (t) where 0 (t) = 0 + Ot. B

A: Let p1(t)=2+t and p2(t)=1-5t. Also      B=2+t, 1-5t That is   B=p1(t), p2(t) Also given that…

Q: consider the polynomial f (x) = 7x4- (2 + 2x + 6x2 + 5x3) -8x5. In x = 0.7, use the approximation…

A: Given the polynomial fx=7x4-2+2x+6x2+5x3-8x5 and x=0.7 and ∆x=0.2

Q: PA certain pesitive integer X has the! factongation 2°35ª How mamy divisors des the integer x have ?…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Consider the graph below. 8+ 7- 4 312 2л S/2 47 -2 4 -6- -7- -8+ Write an equation that matches the…

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Q: Problem 4: Consider the set of polynomials {2+ t, 1 – 5t}. Let p¡(t) = 2 + t and P2(t) = 1 – 5t. Let…

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Q: What is the equation of a line parallel to y = 7x – 8 that passes through (5, -2)?

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Q: 8.A.3: Suppose TEL(V) is invertible. Prove that G(A, T) = G {G,T1) for every A EF with A= 0. HINT:…

A: Given that T∈LV is invertible. That is Gλ,T=v∈VTV=λv We need to prove that G0,T=G0,T-1=0 As T is…

Q: 2.22 Let f be continuous at a, and e > 0. Show there exists & > 0 such that I1, 12 E Df n (a -- 8, a…

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Q: f(x) = cosh(x); -T <x< T etch the function. Determine whether it is even or odd. Expand it in an…

A: Expand the given function in an appropriate Fourier series.

Q: The cost C (in dollars) of producing x units and the revenue R (in dollars) obtained by selling x…

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Q: -11 35 -11 35 1 E) Let b, = and w= b, = Write as a 78 78 1 linear combination of 2 and 1 Solve this…

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Q: Find the Fourier series of fon the given interval. 0, -8 <x < 0 f(x) = {x, 0sx<1 1sx<8 f(x) = Give…

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Q: Q1: Find the area of the region between the curve y x-3x and the line y = x.

A: Let us consider the curve y=f(x) and y=g(x) between the interval [a,b] The area under the curve is…

Q: t 3 f(t) =

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Q: Use the simple interest formula to determine the missing value. p = $963.34, r= 5.5%, t= ?, i=…

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Q: Suppose that z is a differentiable function of s, t, u, and v. Also suppose that s, t, u, and v are…

A: Suppose that z is a differentiable function of s, t, u, and v. Also suppose that s, t, u, and v are…

Q: dy (Vx + dx x) = Vỹ + y=

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 9…

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Q: Let o be the cube with side length 1, faces paralet to the coordinate planes, and centered at the…

A: For the detailed solution of the problem follow the next steps.

Q: 1s this statement true or folse? EXPLAIN your with examples, ans wer linear Composition trans…

A: The solution is below.

Q: a) If A and B are each countable sets, show that AUB is countable. (Hint: For each set, consider a…

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Q: EXERCISES 4:Find the tangent line at the given point x² - xy + y? = 7, (-1,2) 2.

A: To find The tangent line at the given point.

Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = -4 3x + y - 4z = -6 2x 1 2a

A: # As per the guidelines we are entitled to solve one question at a time please resubmit the other…

Q: Part 1 of 8 By re-ordering the sphere equation, we have z- 100 - - y, We can then parameterize this…

A: We have to parameterize the given equation z2 = 100 - x2 - y2.

Q: Find the net area and the area of the region bounded by y = 11 cos x and the x-axis between x= - and…

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Q: = eax %3D

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Q: 1. a. Construct a truth table for the compound proposition - (p → q V r). b. What truth values must…

A: The solution of the problem ia given in the next step.

Q: Suppose that T is a linear transformation such that T T Write T as a matrix transformation. For any…

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Q: Exercise Suppose that vaccination strategies are implemented for newborns, so that not all newborns…

A: Note: R0 is the basic reproduction number which is defined as the average number of secondary cases…

Q: Use the simple interest formula to determine the missing value. p= $1525, r= ?, t=4 years, i $134.20…

A: Simple interest formula     i = prt/100 Here of we put all the values of the variables available,…

Q: Find the matrix A of the linear transformation T from R² to R² that rotates any vector through an a…

A: We have to find the matrix of linear transformation T:ℝ2→ℝ2 that rotates any vector through an angle…

Q: Find parametric equations for the path of a particle that moves along the circle  x2 + (y − 1)2 = 4…

A: Given the equation of the circle is x2+y-12=4

Q: what is the Corgraent in th bmominl expunsion of (3x+6)° binomial expansionm of

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Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

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Q: For the shown mode shapes: x(1) X(2) Calculate the following displacement ratios: • z0 =

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Q: Compute the Taylor polynomial T3(x) and use the Error Bound to find the maximum possible size of the…

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Q: Given the differential equation y' = 3y e2 and y(0) = 4 1. Use implicit derivatives to find " y" ",…

A: Given differential equation is y'=3y e2x    and   y0=4 Also, y'0 = 3y0 e20             = 34 1=12…

Q: Let A be a 3 × 3 matrix, and let v1, V2, V3 be non-zero vectors in R³. Suppose that Av1 = V1, Av2…

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Q: If Z = eax + by F(ax - by); the value of %3D az is + a ду az

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Q: Find the area of the region enclosed by one loop of the curve. r = 4 sin(5theta)

A: We have to find the area of region .

Q: If: 1 5 9 -3 -8 6 -4 -6 -2 7 -8 -3 A = -1 8 7 2 -4 -8 7 -7 -2 -7 -6 3 -8 7 -8 7 4 -3 -5 B = -6 3 -5…

A: Given matrix and

Q: Click here for table of Monthly Payments Determine the monthly principal and interest payment for a…

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Q: Find Operation in Assembly [A] (Quotient) <- A + B. [BJ (Remainder)?

A: Operation in Assembly [A] (Quotient)&lt;-A+B

Q: Listed below are six eight-letter words. Rank the words in order of the number of unique ways to…

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Q: Determine the simple interest. (The rate is an annual rate unless otherwise stated. Assume 360 days…

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Q: Use the form above to write the solution to the differential equation y' – by + 8y = 4tťe" with y(0)…

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Q: Find the inverse Laplace transform of 2e-8s F(s) = s² + 9

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Q: Carbon dioxide emissions are those stemming from the burning of fossil fuels and the manufacture of…

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Q: Simplify in polar form (sin 0 + i cos 0)¬n Explain your reasoning.

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