use determinants to solve the simultaneous equations given.

Q: Let A, B, and C be invertible matrices of the size. Prove that (ABC)" == ("B"A" same size,

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Q: Find the inverse of f. Then use a graphing utility to plot the graphs off and f-¹ on the same set of…

A: The given function is .We have to find the inverse function and sketch its graph.

Q: Use the method for solving homogeneous equations to solve the following differential equation. dy de…

A: We have to find general solution of given differential equation.Concept required:1)A differential…

Q: Problem 4. Consider the following data points corresponding to a function f(x): 0.25 0 0.5 1 0.75 1…

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Q: Z₁ (c) Find 22 using the trigonometric rule to divide. Show all work. Show all work. Leave your…

A: GivenRemember : is the trigonometric form of where

Q: Consider the following. See Examples 1 and 2. Complete the table. (Round your answers to four…

A: x-2.1-2.01-2.001-2-1.999-1.99-1.9f(x)?To find:

Q: Find an exponential generating function for the number of permutations with repetition of length n…

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Q: 8 n1² Σ (2η)! n=1

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Q: K Evaluate the definite integral. 58 58 SAV 4√Z-3 ³√z 4√Z-3 dz dz= 9 (Type an integer or decimal…

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Q: Laura is planning to buy three 5-lb bags of sugar, six 5-lb bags of flour, three 1-gal cartons of…

A: The prices of the items in three neighbourhood supermarkets are given in the form of table. We use…

Q: A-[2²]. 34 Let A Give A!

A: We are given Matrix A.We have to find the inverse of the matrix A.

Q: Make a sketch of a single graph that meets all of the following criteria lim f(x) = -1 ● ● . . 848…

A: The given conditions are,We have to sketch a graph of the function that satisfies the given…

Q: Solve f(x² +1)dx with Composite Simpson's 1/3 Rule for n=4 subinterv

A: We have to solve  by using Simpson's rule.

Q: Suppose that f(x, y) = x²y — x − y. How many critical points of f are saddle points? Select one…

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Q: Use the Divergence Theorem to evaluate / F. ds where and S is the boundary of the region defined by…

A: Ans S is the boundary of the region defined by .To Find: using divergence theorem.

Q: Evaluate the surface integral where S is the part of the cone z = 3-√√x² + y² above the z = 0 plane.…

A: Evaluate the surface integral,Where S is the part of the cone above the  plane.To find the value of…

Q: X'= -13 -17 -2 10 14 - 10 - 10 - 13 - 17 -2 10 14 2x₁ - 3t H 2 x; x₁ = e 2 Flicid 11 3 -2, X₂ = e²¹…

A: If  are the solution of Then it must satisfy the sytem.

Q: Exercise 1. For each of the following vectors v, u, and w calculate the following: v. u, u.v, vxu, u…

A: Given  that and Then,Now, Now,   Since, Now,               and

Q: Enter the Maclaurin polynomials below for Po(x) = P₁(x) = 1+x'

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Q: A hemispherical tank with a radius of qm is filled from an inflow pipe at a rate of 3 m³/min (see…

A: Given that:

Q: Recall that Σ n+1 n=0 statement about a power series converging to ln(4x − 3)? Select one…

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Q: 1. The Laplace equation is defined as Uxx+Uyy = 0. Show that each of the following functions is a…

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Q: Gold (Au) has a synthetic isotope that is relatively unstable. After 25.5 minutes, a 128-gram sample…

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Q: 4. Solve the given differential equation using direct method and use the given initial conditions:…

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Q: If f (t) = 3, find f'(r) and then find f'(3). Round your answer to exactly four signif f'(t) = ✔…

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Q: 3² Let A = 0 0 2 A-[1] Calculate the following. تم B =[& + - 1. 2 00 and B.

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Q: Question 3: Determine the values of the parameters {o, o, A} in the equation below: 10 cos(wt0) =…

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Q: Loan Payment Formula (Installment Loans) Px (APR) 1-(1+APR) PMT= APR (ny) Suppose you have a credit…

A: Given thatThe credit balance is annual interest rate is Time is n=12Here we need to find the monthly…

Q: Water is pumped into a spherical tank with a radius of 10 feet at a constant rate of 5 cubic feet…

A: The height and the radius is given as follows,r = 10h=5

Q: This problem is an example of critically damped harmonic motion. A hollow steel ball weighing 4…

A: A hollow steel ball weighing 4 pounds was attached to the spring that stretched the spring 1/8 foot.…

Q: Consider the problem of finding the number of integral solutions of the equation x₁ +x2+x3+ *4 = 20…

A: Given that :Consider the problem of finding number of integral solution of the equationx1+x2+x3+x4 =…

Q: 10. Let [ A= 103 -1 21 02 Calculate det (A) by cofactor expansion.

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Q: 1 Consider the convergent series Assume the conditions are met for the Integral Test. Which one of…

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Q: By taking the antiderivative of the binomial expansion, prove the following: +1 (1) n + 1² (1₁1) +…

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Q: Find the acute angle between the line r(t)=(1,1/2,1)+t(2,1,2) and the z axis. Note these lines…

A: The line given by    is a vector equation of a line in 3D space. The vector   is the direction…

Q: Show that cos 2x-cos 6x sin 6x-sin 2x b) Hence or otherwise, solve = tan 4x cos 4x cos 2x-cos 4x cos…

A: Hence proved

Q: Use a computer algebra system to graph fand to find and " Use graphs of these derivatives to find…

A: A function .To Find:a) Interval on which function increasing.b) Interval on which function…

Q: Solve Ax=b for x when A 1 201 b[3] geven that

A: The given system .We have to solve the system for  when  and .

Q: dx dt dy dt dz dt =X-Z =y+2z =x+y+z

A: The  given  equations  are…

Q: Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A…

A: The given matrices,We have to find the basis for column space and the null space and also find its…

Q: Ki Use Gaussion elimination to solve the system x+y=z=1 x+2y=z=2 x-y-z-4 Indicate clearly all now…

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Q: In how many ways can we paint the 10 rooms of a hotel if at most 3 can be painted red, at most 2…

A: Let us find the possible no. Of ways.using combination formulae.

Q: 2. Let an > 0 and Σα an < . Prove or disprove (by giving a counterexample) if the m-1 following…

A: 2) a)  Given  that  .          Now, [by  Comparision Test]2) b)  Let      Then,,being a divergent…

Q: Let y = - 11 - 1 1 9 1 0 - 1 2 , and V₂ = -6 1 . Find the distance from y to the subspace W of R4…

A: y =

Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

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Q: Find an exponential generating function for the number of permutations with repetition of length n…

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Q: Suppose that X = {2}-{] Y € R³: : xyz = 2 and that Y = of the following statements is correct.…

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Q: B. Evaluate each. 1. C(8,4) 5. C(8,4) C(7,5) 22. C(5,0) 3. C(4,4) 4. C(11,3) C(7,4) 6. C(8,2) C(6,2)…

A: As per the guideline I’m supposed to solve only three sub-parts of the given problems.As we know…

Q: Use the graph to compute the quantities asked for. H VA I A. lim f(x) = X→ 1 B. lim f(x) = X→1 1…

A: We can observe the limits from given graph

Q: Now use the chain rule to calculate the following please enter aircsin Instead of sin whenever…

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