Which of the following situations does NOT illustrate combination? Selecting fruits to make a salad. Selecting posters to hang in the walls of your room. Assigning telephone numbers to homes. Choosing household chores to do after classes.

Q: 1 If A = =| 2 [2 2 a 1 is orthogonal, then A -2 1 will be

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Q: flx, v) =e-x2+y2. Using Lagrange multipliers we need to find the maximum and minimum values of f (if…

A: Given function is: f(x, y) = e-x2+y2 Constraint: x2 + y2 = 5

Q: Find the eigenvalues of the matrix. -6 0 0 0 3 0 - 7 The eigenvalue(s) of the matrix is/are (Use a…

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Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and a 9 is…

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Q: ry Solutions

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: A vector valued function of the form r(t)= f(t)i + g(t)j is continuous at the intersection of points…

Q: Determine whether the given series converges or diverges. If it converges, find its sum. 8 2 1+- *-1

A: We have to check whether given series is convergent or divergent?...

Q: A function f(x) is given by the following set of ordered pairs: {(2,6), (4, 12), (5, 15), (9, 27)}.…

A: The function is represented by the ordered pairs 2, 6, 4, 12, 5, 15, 9, 27. (a) Express fx using…

Q: Find the slope between the points (0, 1

A: Given, the points (0, 1) and (2, 1).

Q: 10. Use Euler's Theorem to show that 516) = 1 (mod 16).

A: Euler's theorem states that          "If gcd(a, n) = 1, then aφ(n) = 1 (mod n)

Q: Let flx, v) =e-x²+y². Using Lagrange multipliers we need to find the maximum and minimum values of f…

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Q: Let g(x,y,z) %3D Vx² +y² + z? Let S be the solid bounded by the spheres: x2+ y2 + z? = 1 and x2+y²+…

A: Given that gx,y,z=e−x2−y2−z2x2+y2+z2 Here S is the solid bounded by the spheres x2+y2+z2=1 and…

Q: 6. Candice can save 20% of her net earnings. On average, her monthly net earnings are $1985.67. What…

A: Candice's monthly net earning is $ 1985.67 => total yearly earning = $ (1985.67 x 12)…

Q: sin () (cos (t*) + t)dt %3D (2), NOTE: Enter a function as your answer. Make sure that your syntax…

A: In the given question, the Fundamental Theorem of Calculus Part I is applied. ∫afxgtdt=gfx·f'x

Q: D 4. Label each graph as f(x) or g(2). f(2) = 6* and g(2) = 14 %3D %3D A. B. 5- 3 3 2 2 3 -2 A:

A: Given that  f(x) = 6x  and  g(x) = 14x

Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: Prove why A-1=(ATA)-1AT is correct using the invertible matrix theorem

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Q: A shirt is on sale for 25% off Sandy paid $7.50 for the shirt what was the shirts regular price

A: Solution:     Let the regular price of the shirt be $x      Then discounted price = $ x.(100 – 25) %…

Q: (a) Fibonacci posed the following problem: Suppose that rabbits live forever and that every month…

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Q: Solve the following problems completely and accurately. Solving Differential Equations (1) Find the…

A: Solution

Q: Let A, BC X. Is Bd(A) C Bd(B)?

A: We want to check for A, B ⊂ X Is Bd(A) ⊂ Bd(B) true or false.

Q: The figure below shows how changing the base can affact the graph of a logarithmic function. Use the…

A: According to the given graph of logarithmic function, we have to answer the following questions :…

Q: Find the g.c.d. in Z [i] of 2 and 3 + 5i.

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Q: -3r + y= 0 6x 2y -2 that is 6x - 2y = 6 Compute least squares solution to the system of equations…

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Q: 1. For the following, show that KB does not entail a: a) KB = {(pVr) =¬q, ¬r = q}; a = (p=r) b) KB =…

A: for the following show that KB does not entail α: a) KB=p∨r⇒¬q , ¬r⇒q ; α=p⇒r b) KB = p⇔q ,¬s∧p  ;…

Q: whether 2 is a primitive root modulo 19. Please state the reason.

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Q: Let T: P3 P3 be defined by T(ax + bx +c) = (2a + b)æ² + (5a + 36 + c)a – a. Find the inverse of T. T…

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Q: , find the change-of-coordinates matrix from the basis B= {1– 2t +t?,3 - 5t + 41,2- 2t + 5t?} to the…

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Q: (a) (1264)11 (c) (352)(136)(1254)102 (b) (125843)53 (d) (348)(456)*(1325)10

A: We have to find a 126411 and d 3484565132510

Q: Q6. Use the method of Variation of parameters to solve (i) y" + y = tan x. (ii) x²y"+xy'+(x² – })y =…

A: Hint: particular solution of a differential equation from method of variation of parameters suppose…

Q: Suppose that the coefficients of the power series Ean(r – c)" n=0 satisfy |an+1\| lim = L. |an| (a)…

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Q: Use the method of Laplace transforms to solve the given initial value problem. Here, D[x] and D[y]…

A: We have to solve the given system of differential equation using Laplace transform.

Q: The angle 6n/5 is drawn in standard position. In what quadrant will the terminal side of the angle…

A: Given that The angle 6n/5 is drawn in standard position To find In what quadrant will the terminal…

Q: Determine which (if any) of the following series are conditionally convergent. (-2)+1 А. n+ 7n 1 00…

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Q: How many different rays can be formed from 7 distinct points on a plane, no three of which lie on…

A: The number of rays that can be formed using n non-collinear points is equal to Pn, 2. The formula…

Q: Question 2: Find the inverse Laplace transform of 10 a) F(s)= s(s+2)(s+3)? b) F(s)=- s? +4s+5 1 -2s…

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Q: Late Payments Your electric bill is $132. You are charged 9% simple interest for late payments. How…

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Q: b) x?y" + (cosx)y' + xy = 0

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Q: Give the slope and the y intercept of the line y – 7 + 4x = 0 Slope = y intercept =

A: Slope and y-intercept of the line equation

Q: SkyChefs, Incorporated, prepares in-flight meals for a number of major airlines. One of the…

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Q: Find general Solution of y + +y+ 4y = Ct1)e Using method of vanafion.

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Q: If a viral cell penetrates a healthy rabbit, the cell will divide into two in about one day. After a…

A: We have to find the day when the rabbit dies.

Q: Q4: Solve the following recurrence relation an = 3an-1+2" for n > 1, with ao = 1

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Q: Find and classify the critical points of the function f(x, y) = x + 2xy+ 3y + 2x + y.

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Q: Draw the shear diagram for the beam. Follow the sign convention. (Figure 1) Click on "add vertical…

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Q: 3. Let T: R³ → Rª be the linear transformation given by 28г - 19г2 — 132гз 47x1 + 73r2 + 198r3 (E) T…

A: To give the answer of the given problem,we use the following theorem related to linear…

Q: Problem 1: Prove A = {m e Z: m mod 6 = 2} is a proper subset of B = {n EZ:n is even}.

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Q: At the start of the year the MLS Company's stock initially sold for $40 per share at the end of the…

A: The formula to find the rate of return is Change in the valueInitial value×100

Q: Exercise 14.4.3. Compute each of the following: (a) (125843)² (c) (125843)4 (e) (125843)6 (b)…

A: To find the value of the given element . Since it is the element of the permutation group s8 . So…

Q: Use the method of cylindrical shells to find the volume of the solid generated by rotating the…

A: Given that  The curves y=e^x y=e^x , and x= 1 about the y-axis.   Use the method of cylindrical…