Of 20 possible books, you plan to take 9 with you on vacation. How many different collections of 9 books can you take?

Q: Let E be the region bounded cone z = z = x² + y² + z². Provide an answer accurate to at least 4…

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Q: 16. (D+1)²(D− 6)³(D + 5) (D² + 1) (D² + 4) [y] = 0

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Q: 9x² + y² - 54x - 6y +81=0 (4.) 9x² + 4y² + 324. +3826

A: We have to standardize the equation to find center vertex and orientation of ellipse . Then draw…

Q: Prove directly (without stating 7.10 from the chapter notes) that √2 + √5 is not rational.

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Q: Let I be the line with parametric equations x = -3-t y = 3 z = −3+t Find the shortest distance d…

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Q: Given vectors in R2, A = -4i + 3j, B = 3i-2j, C = -3i+ j. What is (A C) B ?

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Q: -) Find an orthogonal basis of the null space of the following matrix: 1 3 10 11 9 2 5 4 1 1 4 −1 -1…

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Q: Exercise 17.2.17. (a) Give a counterexample that proves that the binary relation C in Fig- ure…

A: Given: Digraph of figure C. To find:  (a) An counterexample that proves the binary relation in…

Q: 3. Determine if the matrik 4 is in the span of the set S = D

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Q: 4.50. Verify Green's theorem in the plane for fx²ydx + (y² - xy) dy where C is the boundary of the…

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Q: 5. Describe the relationship between the data in the scatter plot.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find a projection of a vector 1 2 3 onto the subspace 2 5 1 -60 span 2 5 7

A: Formula to be used: The formula to calculate the projection of a vector v onto a non trivial…

Q: 15. Prove the second De Morgan law in Table 1 by showing that if A and B are sets, then AUB= An B a)…

A: Given: A and B are sets . To show : A∪B=A∩B (a) By showing each side is a subset of other side . (b)…

Q: de d dz dz dy esents the volume of the region in the first octant that is inside the paraboloid y =…

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Q: Use the Remainder Theorem and Factor Theorem to determine if x + 2 is a factor of x4 ─ 2x3 + 15x ─…

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Q: Exercise 1 A popular text on simulation theory states that if U~ U(0, 1), then log (U) (6) has an…

A: Given U~U0,1 Let U be the random variable having standard uniform distribution with probability…

Q: Question: A chemist has three different acid solutions. The first acid solution contains 15% acid,…

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Q: Find the amount (in $) of interest and the maturity value of the loans. Use the formula MV = P + I…

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Q: Finally, let f(x) = S. Then, by the division algorithm in k[x], there exist polynomials q(x) and…

A: This is the division algorithm for polynomials. The doubt has been explained in step 2. Go through…

Q: Consider the following vectors: --8-8-8 H W1 = -3 W2 = -1 4 Enter the vector n in the form [C₁, C₂,…

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Q: Prove that the following logical equivalence is correct using a truth table: (p ⊕ q) ≡ (((¬p) →…

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Q: Convert the point (x, y, z) = ( − 5, 2, — 4) to cylindrical coordinates. Give answers either as…

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Q: 4.51. (a) Prove that fe(y² cosx-2e) dx + (2y sin.x - 2xe") dy = 0 around any simple closed curve C.…

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Q: Find a parametric description r(t) for the full circle going through the point (0, 9). Provide your…

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Q: 12, A gear with 12 teeth and turning at 1275 rpm is driving a gear with 60 teeth. What is the rpm of…

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Q: If my goal is to determine whether vectors dent or independent, I will solve the system (Do not…

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Q: Compute the total cost per year of the following pair of expenses. Then complete the sentence: On an…

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Q: Please do Exercise 17.3.3 part B, C, and D and please show step by step and explain Hint for B: You…

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Q: Compute the distance between the following vectors: V = W =

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Q: Find the arc length of the cardioid: r = 1+ cos

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Q: -) Recall that Mnxn (R) is the vector space of n x n matrices with real coeffi- cients. Let A and B…

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Q: H 28. For all integers a, b, and c, if a b and a/c, then al(b + c).

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Q: (3-4) (2+31) + 61 can be simplify to

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Q: In 2013 the top three donors of foreign aid were the United States, Great Britain, and Germany. The…

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Q: Suppose f(x, y, z) = x² + y² + 2² and W is the solid cylinder with height 5 and base radius 2 that…

A: Given,                        f(x, y, z)=x2+y2+z2, and W is the solid cylinder with a height of 5…

Q: w using Exponential Shift; m = 2 & n =4 y" + 2y' + y = menx

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Q: Four coins are tossed, and the number of heads is recorded. Shade the region on the histogram that…

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Q: Solve the non-homogeneous differential equation dy dx 5x+6y+8 10x+12y+5

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Q: 7. Prove the domination laws in Table 1 by showing that a) AUU = U. b) Ang = Ø.

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Q: 1) let R be a set of real number and T={Ø, R, A,, aER), where A=(a,0). Show that whether T is a…

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Q: :) Let P3 := {ao + a₁x + a₂x² + a²x³|ao, a1, a2, a3 € R} be the vector space of polynomials of…

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Q: Describe and sketch the following set of points defined by the following conditions. (x + 2)² + y² +…

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Q: For any integer n, n² + 5 is not divisible by 4.

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Q: Find the angle (in radians) between the vectors and below. 01|2 u=2 7 Give exact expressions for all…

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Q: Convert the point (x, y, z) = (2, — 2, 1) to spherical coordinates. Give answers as positive values,…

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Q: Solve ∆ABC. Round to one decimal place where necessary. A = 78º, b = 2, c = 4

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Q: Use cylindrical coordinates. Evaluate JJJ + y² dV, where E is the region that lies inside the…

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Q: A produce buyer for a juice company is buying pears. He makes a choice of either Wisconsin,…

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Q: as 4√ can be expressed by the form rela

A: The complex number: z=x+iy can be written in its exponential form as: z=reiϕ, where r=x2+y2,…

Q: Plot the points whose coordinates are given. a. 2, 2п b. 1 3, п 3п '4 C S F1

A: The given problem is to plot the given points whose coordinates are given cylindrical and spherical…