The following is data for the first and second Quiz scores for 8 students in a class. First Quiz Second Quiz 18 27 28 29 30 33 44 46 Plot the points in the grid below, then sketch a line that best fits the data. 50+ 45 40 35 30 25 20 15 10- 5 17 29 31 33 37 41 45 47 5 10 15 20 25 30 35 40 45 50 XAV Question Help: Video Message instructor Clear All Draw:

Q: orthogonal decomposition of the vector a = (5, 1, -3) with respect to b =(4, 4, 2) : Start by…

A: Projection of a onto b is  p=Projba=a.bb.bb we have a=5,1,-3b=4,4,2

Q: 3. Let A be a n x n matrix with distinct and positive eigenvalues. For each i, 1 ≤ i ≤n, let Vi be…

A: Given that A be a n×n matrix with distinct and positive eigenvalues. For each i, 1≤i≤n, let vi be an…

Q: --[i 1. (a) Let A = 1-3 Find all 2×2 matrices B which satisfy the relation AB = BA.

A: Since you have uploaded multiple questions, according to our guidelines we have solved first…

Q: Tony has $20 and saves $1.50 each day. Joan has $52 and spends $2.50 each day. In how many days will…

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Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

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Q: y" + 4y' + 6y = 1 +e=2t, y (0) = 0, y'(0) =

A: Given IVP y''+4y'+6y=1+e-2t, y(0)=0, y'(0)=1

Q: (a) Find a similar sequence of equivalences that proves (pV (qVr)) V s = p V (qV (r V s)). (b) The…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Problem 1 Sketch the graph of the function f(x) Let g(x) = f(t)dt. (a) Then g(-8) = and g(10) = . ,…

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Q: Is the following variation of the Archimedean property true or false? If x and y are real numbers,…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: The tangent vector to the curve is rt=3costi+3sintj+3tk , 0≤t≤π. We have to find the unit tangent…

Q: 3. Use the rules of inference to show the argument below is valid. p^q p→ (r^q) r→ (svt) -S :. t

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Q: 2n (5) Prove that for every natural number n, it holds that Σ²²1 ⁄/ ≥ 1+ 2. k=1 k

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Q: • Calculate = 3 2+5 2-3 on the circle |z|

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Q: aphs 1. Describe each graph below. Explain how many vertices and how many edges it has, and if it is…

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Q: Given sets A, B, C, and U, find the set A - B using the listing method. A = {3, 4, 6, 7} B = {2,3,4}…

A: We are given the sets        A = {3, 4, 6, 7}        B = {2, 3, 4}

Q: (b) Show that the set {V₁, V2: V3, V₁, V₁} = {1+x, 1-x, x² + x³, 1-x¹, x² + x¹} is a basis for P4…

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Q: Use the definition of the derivative to find the derivative of the function f(x) = . Then find all…

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Q: The region R is the base of a solid. for this solid, each cross section perpendicular to the x-axis…

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Q: (a) What base 10 number is equivalent to 10100012? (b) What base 2 number is equivalent to 96110?

A: Given numbers (a) 10100012(b) 96110 we have to convert into base 10 and base 2 system.

Q: #6. Find the square roots of (a) 2i; (b) 1-√3 i and express them in rectangular wordinates. #7. Find…

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Q: 5. A radioactive substance decays from 42 mg to 12 mg in 48.6 minutes. Calculate the time required…

A: Decaying of a radioactive material is modelled by the equation        N(t) = N0 e-kt        where…

Q: 5. Choose 21, 22, 23 E C such that Re(21) = 0 Im(2₁) 0 Re(22) 0 Im(2₂) = 0 Re(23)0 Im(23) ‡ 0…

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Q: Solve the IVP. Answer in explicit form. State the interval of validity for your solution. dy cost…

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Q: 13. Here is the Fibonacci sequence. n = Xn = 0 0 2 1 1 1 3 4 5 6 7 8 9 5 8 13 2 3 So term number 6…

A: Solution :- Given Fibonacci sequence :- n 0 1 2 3 4 5 6 7 8 9 10 11 xn 0 1 1 2 3 5 8 13 21 34…

Q: Let S denote a bounded, nonvoid set of real numbers. Define exp(S) to be the image of the set S…

A: S denote a bounded nonvoid set of real number expS=ex:x∈S

Q: Prove that Q(√d) (d is a square free integer) is the minimal subfield of C containing both Q and √d.…

A: Given: The field of a complex number C is given. To Prove: Qd is the minimal subfield of C…

Q: Approximate the area under the curve y = x³ from x = 1 to x = 4 using a Right Endpoint approximation…

A: We have to approximate the area under the given curve using right endpoint approximation.

Q: R = {(x, e¹x) : x = R, n = Z}.

A: A relation is called an equivalence relation if it is reflexive, symmetric and transitive

Q: A middle school counselor, attempting to correlate school performance with leisure interests, found…

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Q: Write the augmented matrix of the system and use it to solve the system. 8x + 6y 3z + 12w -1 -8x gy…

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Q: Echelon Form (Exercise) Determine the pivot and free variables in each of the following systems: 2x…

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Q: Rearrange the first inequality to match the second inequality and fill in the blanks for the…

A: Answer given below.

Q: X -1 0 1 2 Write the exponential equation that represents the situation Y 625 125 25 5 Scrooge…

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Q: (0,0) 20 15 -10 (2.20) (4,0) 10 a) State the x-intercept(s) b) State the y-intercept c) State the…

A: We have to find the answers from the given diagram.

Q: Use seperation of variables to solve dy dr 2 3+y+y 9(1)=-3 at the first step, the solution is given…

A: The differential equation is defined as the equation which contains the dependent variable, the…

Q: A bacteria culture starts with 880 bacteria and grows at a rate proportional to its size. After 2…

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Q: There are three bags one of which contains gold and the other two are empty. Each bag has imprinted…

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Q: = 4. Let G be a group of order 231 3.7 11. Prove that G has a unique subgroup of order 11 and that…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: 4. Let g be the function pictured at left in Figure 5.2.6, and let F be defined by F(x) = ſ, g(t)…

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Q: 591: 59 100: 0.0591: 5.91 x 10⁰ 5.91 x 104 5.91 x 102 5.91 x 10-4 5.91 x 10-2

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Q: dy dt 1) what are the constant = = 24²-24-24

A: dydt=2y2-2y-24

Q: 10. In precalculus, one of the basic skills you develop is, given a point and a slope, to write down…

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Q: Let F and G be vector fields such that F(0, 0, 0) = (1, 2, -1), F is irrotational, V x G (0,0,0) =…

A: Given that  F(0,0,0) = 1,2,-1 and F is irrotational.…

Q: An English class consists of 24 students, and five are to be chosen to give speeches in a school…

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Q: Question 2 Which of the points P(4,-2,6) and Q(-6,-3,2) is closest to the yz-plane? Explain your…

A: You asked to solve the questions 2 and 3. But as per our guidelines, we have to answer the first…

Q: Use a Venn diagram to shade the given set. (A'n B') nc Use the graphing tool to shade the region(s).…

A: A'=U-A and B'=U-A where U be the universal set. So A'∩B'=(U-A)∩(U-B)=U-(A∪B).

Q: Exercise 1.6.101: Let x' = (x - 1)(x - 2)x². a) Sketch the phase diagram and find critical b)…

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Q: an autonomous differential equation has the following Solutions; y=6, unstable y=-3, Semistable Find…

A: Answer :-

Q: Find the ratios of the products A and B using the matrix shown below (closed model). A B [1/5 3/4]

A: Answer given below.