A collector of toy vehicles has 12 hot rod cars, 10 pickup trucks, 9 classic cars, and 1 big rig truck. All toys are distinguishable. How many ways can the collector choose a subset of 10 toys and get at least 7 classic cars?

Q: If 2x³9x² + 4x − 7 is divided by x − 3 to give a quotient of 2x²-3x - 5 and a remainder of -22, then…

A: Let us consider fx=2x3-9x2+4x-7 and gx=x-3. Given that when fx is divided by gx gives a quotient…

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Q: -8 6 -12 -4 Determine the remainder when -8x³-6x²+1x-24 is divided by 2x+3.

A: Here we use Long division method.

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Q: (6) Show that the sequence {n} with 1 > 0, n+1 = 2+In its limit. n> 1 is convergent. Find

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Q: Using Integral test - test the series for convergence or divergence

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Q: 1. Given the following continuous-time signal: (1 t 0≤ t ≤ 1 otherwise x(t) = - carefully plot the…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: 1. Consider the 6 x 6 matrix (a): (b) work.] 1 0 0 1 1 01011 0011 1 000100 000010 000001 Compute A.…

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Q: Determine the range of O a) {yly = 5, y = R} O b) O c) f(x)= O d) {yly = 3, y = R} {yly 1/3, y ER}…

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Q: The following table gives the mean monthly temperatures for Windsor, a city in Ontario. Each month…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

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Q: Determine whether the following sets of vectors in R³ are L.I. or L.D S1 = { v1, v2, v3} = {(1, 2,…

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Q: Is the following system of equations consistent: 2y -4y + 3x + X 8z = -z = 7 2 6

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Q: Solve cosx = -1, given xeR : O x = π 3π Ox-13 x = ± 2 O x = πn, nel TT O x = =+ πn, nel 2

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Q: 2. Find the largest open subset ECR2 for which (a) f(x) = (b) f(x) = x₁ is continuously…

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Q: 7. 1 4 -2 -7 -4 -5 -3 0 51 75

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Q: Find the linearization of the function f(x) = L(x) = -1.1 Find the true values of f (x) and the…

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Q: 8 fiction novels by new authors are on display at a Book Festival. Patrons are told that they can…

A: Total number of novels on display =8 The number of novels that can be chosen =3 So, the number of…

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Q: 1. Ifƒis a Cˇ function on a closed regular submanifold N of a manifold M, then show that fis the…

A: To find: If ƒ is a Cx function on a closed regular submanifold N of a manifold M, then show that ƒ…

Q: Let f(x) = 1- x, -3 ≤ x ≤ 3, f(x + 6) = f f(x). (a) Find the real-valued Fourier series of f.

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Q: Write a basis for the given extension over Q. Describe the basis in roster method. List the elements…

A: We have to find the basis for the extension field Q(2, 3, 5) over Q.   Explanation: Roster method is…

Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

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Q: the (by hand) 881 -2 1 3 by 1 3 3 -1 2 -1

A: Given that a matrix,  -21313-13-12. find out the first three iterations by the Symmetric power…

Q: Consider the model y=-2.45x+7.18 derived from data between x=4 and x=10. What value of x represents…

A: Given that the model y=-2.45x+7.18 is derived from data between x=4 and x=10.

Q: Use inductive reasoning to determine the units digit of the number 242 The units digit of 242 is…

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Q: Find the It u in Z₂ (u), that is find at bu tcu² such that (Itu) (a + bu + Cu²) = 1. Hint: By trial…

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Q: Let S be a set of distinct symbols. Show that the relation defined onW(S) in this chapter is an…

A: Given: S is a set of distinct symbols.We need to show that the relation defined on WS is an…