1.5 € {x E R | 1 < x <5}

Q: 1. Which of the following pairs of functions are linearly independent? Explain your answer. a. sin…

A: Given: The following pair: a) sinax , cosax a≠0   b) x , x c) xm ,xn m≠n To Find: Which of the…

Q: . Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is…

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Q: If the subspace of all solutions of Ax=0 has a basis consisting of three vectors and if A is a 5x8…

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Q: 3) Reynoldsburg surveys their high schoolers. They found 60% of students had cheated on a test and…

A: Let A be the total number of high schoolers in Reynoldsburg. It is given that  60 percent of the…

Q: f a card is drawn at random from a standard 52-card deck, what is the probability that the card…

A: Since we have that total numbers of card is 52.(a) Number of heart cards is 13.           The…

Q: 8. The labor union and management of a particular company have been negotiating a new labor…

A: Sol:- To formulate this problem as a two-person, zero-sum game, we can construct a payoff table for…

Q: 5. If ged(a, n) = 1 then the order of a in (Z/nZ)× is the smallest integer i such that a¹ = 1( mod…

A: Since gcd(a, n) = 1, then             aφ(n) ≡ 1 (mod n)  Now, let order(a) = k.        =&gt; by…

Q: 31. y O of the polar curves1.350 and What is the area of the shadedre? +105#s The figure above shows…

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Q: Find the equation of the line passing through the point 4(2,3) and making en angle of 45° with the…

A: The equation of a line passing through A and making an angle of 45\degree with the x-axis isx-2cos…

Q: The table below gives the results of measuring the electrical conductivity C of glass at temperature…

A: Given, T C 86 0.004 148 0.018 166 0.029 188 0.051 202 0.073 210 0.09

Q: Suppose that the position of a particle is given by s(t) = 2t² + 3t+ 9. (a) Use the limit definition…

A: Given , Position of a particle is given by ,               s(t) = 2t2+3t+9 Then the velocity v(t)…

Q: A jar contains 2 red marbles numbered 1 to 2 and 6 blue marbles numbered 1 to 6. A marble is drawn…

A: Sol:- (a) The probability of drawing a red marble is the ratio of the number of red marbles to the…

Q: Using the following table of the results of a paper towel study and selection, the XYZ company is…

A: This question asks for the two nearest neighbors when using k-nearest neighbors to predict the…

Q: (c) Let f, g, h R → R be functions such that for all a we have f(x) ≤ g(x) ≤ h(r) and f(0) =…

A: Solution:-. For part (c)  Given f(x) and h(x) are continuous function .  By Sandwich theorem g(x) is…

Q: Suppose you take out a 45-year $250,000 mortgage with an APR of 6%. You make payments for 3 years…

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Q: 7. For the differential equation (1-2x)y" + 2y' + (2x-3)y=e³ (a) Write the associated homogeneous…

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Q: Consider the following. |x - 3| ≤ 2 12, |x - 3| > 2 Find the x-value at which f is not continuous.…

A: We see        f(x) = 6csc(πx/6)     ,   |x - 3| ≤ 2                 12                     ,   |x -…

Q: If the distances from the origin of the centers of three circl x² + y² + 2A₁x − c = 0, (i = 1, 2,…

A: The centers of the given circles are (-λi,0),(i=1,2,3).The distances from the origin of the centers…

Q: Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 80     2y − z ≥ 20 2x − y + z ≥ 40 x ≥ 0, y ≥…

A: Given,       Maximize(p)=10x+20y+15z, Subject to,              x+2y+z≤80,      2y-z≥20,2x-y+z≥40,…

Q: Find the equations of the normals to the circle x² + y² − 8x - 2y + 12 = c t the points whose…

A: The abscissa of a point is found by substituting the ordinates and solving for abscissa.therefore,…

Q: Suppose that f(x, y) = x² − xy + y² − x + y with D = = {(x, y) | 0 ≤ y ≤ x ≤ 1}. 1. The critical…

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Q: pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the first…

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Q: A vase as shown in the figure is to be drawn as a mural with all lengths in feet. The outline will…

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Q: Homework Part 1 of 2 In a certain region, about 5% of a city's population moves to the surrounding…

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Q: Over at Duffin House, Marjory Duffin is trying to decide on the size of the print runs for the…

A: Given: Here is the given data, cn=0.0008n2-74n+2000000 dollars To find: If the run size was…

Q: Use the Factoring Method to find the zeroes of the following quadratic equations. Answer…

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Q: Complete the following derivation: ((MC) & (LVA)) (M&L) 2. 8 (AVC) Premise Premise Goal

A: Given:  (P) M→C&amp;L∨A (P) M &amp; L To Prove: A∨C

Q: A prize winning animal is going to be shown at the State Fair. A pen must be constructed to hold the…

A: Maxima is defined as the point at which function at the maximum point on the curve. Minima is…

Q: Find a basis for the subspace spanned by the given vectors. What is the dimension of the subspace? 1…

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Q: If the distances from the origin of the centers of three circles…

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Q: of 2 + [y] 8+ {2 ²³ = 12; n 3+2=13°54 and {n} + y + 2-472 y + [2] = 14.7 then find

A: Given: x + [y] + {z} = 12 [x] + {y} + z = 13.54 {x} + y + [z] = 14.7 We need to calculate the value…

Q: Show that in the simplex method if a variable xy leaves the basis, it can not enter the basis in the…

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Q: - The equation of three circles are given x² + y² − 1,x² − y² − 8x + 1 x² + y² + 10x + 24 = 0…

A: We know that the point from which the lengths of tangents are equal in length is the radical center…

Q: Let D = [1,2] × [1,3]. Evaluate 1 √(x ³) (x³y² + sin(√x)dA.

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Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

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Q: Let us define a. Verify that f(x, y) = xy(x² − y²) x² + y² af y(x² − y² + 4x²y²) (x² + y²)² əx b.…

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Q: Find the range of values of m for which the line y=mx+2 cuts the circle x\power{2}+y\power{2}=1 at…

A: Given Data: Let us consider the given data, y=mx+2 . Distant or coincident point at x2+y2=1. To…

Q: A piecewise function is defined as follows: y= -2x-1 -1<x<0 0<x<3 x = 3 3< x≤4 -(x-2)² +3 3 1 Sketch…

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Q: proof that by induction theroms -_(x+y)" = ≤ ( ² ) x^-^ yk

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Q: 1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x² + y² = z²,…

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Q: Find the minimum cost of a rectangular box of volume 160 cm³ whose top and bottom cost 5 cents per…

A: Given: The volume of the rectangular box is 160 cm3. The cost of top and bottom is 5 cents per cm2.…

Q: The table shows the amount of water that leaks from a pool. Assume the relationship between the two…

A: Rate of change: Let us consider the two points be x1,y1 and x2,y2. The formula to calculate the rate…

Q: 1. Which of the following statements is true? a. The domain of a transformed logarithmic function is…

A: Introduction: In a mathematics, the logarithm is the inverse function to exponential. That means the…

Q: the tangents are drawn to the circle x\power{2}+y\power{2}=12 at the point where it meets the circle…

A: Comparing two lines we find the value of required points

Q: In this excercise find system of IPneon equations that has the given matrion as pts umented matrin.…

A: Given, argumented matrix=1-103121121-14010230

Q: Find the equation of the circle which cuts the three circles x² + y²-3x-6y + 14 = 0, x² + y² − x −…

A: Let the equation of the circles are  S1≡x2+y2-3x-6y+14=0.S2≡x2+y2-x-4y+8=0S3≡x2+y2+2x-6y+9=0.

Q: 1. Use the arc length formula to find the length of the curve y = √√9- x², 0 ≤ x ≤ 3/2. Check your…

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Q: 2. Consider the function f(x) = = x + 3 x-5 a. Find the difference quotient: f(x+h)-f(x) h b. Use…

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Q: 6) You pull an Ace from the deck. What is the complement of that?

A: Probability of the deck of cards

Q: 2.  A cowboy is enclosing the area next to his barn, so he only needs to fence 3 sides of his new…

A: Let the dimension of the corral be x m (length) and y m (width).  Then we have        Perimeter…