Find the centroid of the quarter circle x + y <7, y > Ix| assuming the density ő(x, y) = 1. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *).)

Q: Write the expression below in the form (a+ b) 1296x2 - 4320x°y + 5400xy 3000x'y + 625y

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Q: State which property of determinants is illustrated in this equation. 8 -7 16 6. 16 6. 2 - 8 -7 7 4…

A: Here, you can see that first and second row is interchanged.

Q: 2 (i) xe" dx -2 (ii) -2e" cos x dx (iii) x sin x dx

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Q: Evaluate the Legendre symbol (55|179) using only the definition and multiplicative and mod p…

A: We need to evaluate Legendre symbol , 55179 We know that , Quadratic reciprocity law ,  If p and q…

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

A: The solution is given below.

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

A: To use the compound interest formula to compute the total amount accumulated and the interest…

Q: Find the maximum value of f(x, y) = x°y² for x, y > 0 on the unit circle x2 + y? = 1. %3D fmax

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Q: Aply Runge - kutla method appioximafely value ps of o, if dy d2=xty2, given 1; Where'x=6. to find am…

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Q: You should use trigonometry, not scale drawings, to find your answers. Gordon likes to take his dog…

A: From the given information, we can draw the figure as given below

Q: Use the present value formula to determine the amount to be invested now, or the present value…

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Q: (A, R) and (BiS) two sets partially given. We define on the product Ax B a relation T by: (a,b) T…

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Q: You deposit $13,000 in an account that pays 5.5% interest compounded quarterly. A. Find the future…

A: We have to find the future value.

Q: Which of the following sets are subspaces of R°? A. ((x, y, z) | x < y < z} B. ((x, y, z) | 5x – 9y…

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Q: . In an art class, the students are asked to create a 2D artwork using only the crayons they are…

A: We have to take out 4 from 24. So we will apply combination.

Q: Determine values of y at the pivotal points of the interval (0, 1), if y satisfie the boundary value…

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Q: ansform Prove th

A: Introduction: If a function has a finite number of breaks and does not blow up to infinity anywhere,…

Q: 2. Elen Serug needs P70,000 to repair her roof. Find the face value of the note that will provide…

A: To find- Elen Serug needs P70,000 to repair her roof. Find the face value of the note that will…

Q: Explain, by illustration, taht z-z* is always purely imaginary or zero. What distinguishes these two…

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Q: B/ Find solution for the homogenous differential equation below: dy x² +y² dx 2хy

A: Given differential equation is dydx = x2+y22xy

Q: (a) Find a functionf such that F = Vƒ and (b) use part (a) to evaluate ſ F•dr along the given curve…

A: Here f is potential function of F .1st we will find f by using integration and then will use…

Q: f (t) is of exponential order at infinity.

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Q: 2- y = xy? O y-' +x - 1 = ce* O y +x - 1 = ce*

A: Given differential equation is dydx - y = xy2

Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: This is a counting problem.. we will solve it using the approach of dynamic programming

Q: Evaluate (37603|48611), by regarding it as a Legendre symbol, after first checking by trial division…

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Q: For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2 skirts,…

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Q: Norah's bank offers personal loans for one to five years at 7.5% per year, compounded monthly.…

A: Given Interest rate (r) = 7.5% per year, compounded monthly = 7.5%12=7.512×100=0.00625 Present value…

Q: A recent high school graduate received $600 in gifts of cash from friends and relatives. In…

A: Here given is The student has a total principal amount, P=$600+$250+$300+$1500=$2650 Interest rate…

Q: Match the missing word to the phrase or sentence. 1. Researchers choose a certain level of…

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Q: O Show that the substitution r = e' reduces the equation ax?y" + bry/ + cy = g(x) to an equation…

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Q: Q2. (a) If b – 4ac = 0 and y1 = emz solves ay" + by' + cy = 0, use reduction of order to get a…

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Q: 5. The toxicity of a drug is affected by the amount of drug in the blood times the length of time it…

A: Let y=A(t) here a=0, b=10. h=b-an=10-010=1 h=1

Q: x = y y' = -6x – 5y (1) Find all straight line trajectories for the system above, using any method…

A: As per the question we have to find all the straight line trajectories which are the solutions to…

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

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Q: Discrete Math: Lets say B = {1,2,3,4,5,6}. Let R be the smallest equivalence relation on B which…

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: Verify the Stokes's Theorem for the calculation of the work done by the vector field: F = (r, y²,…

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Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

A: Introduction: Simple interest is a way of calculating the amount of interest charged on a sum at a…

Q: Theorem 6.7 (Fatou's Lemma.) Let {fn) be a sequence of non- negative, measurable functions on a set…

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Q: Uaing Reunge-kutta method of fourh oxden solve dy (0)%3D1at 2. with | Fx² 2. 2= 0.2,0.4 .

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Q: 1. Determine a root from the given equation below using Newton-Raphson method with the terminating…

A: The given problem is to find the approximate root of given equation using newton raphson method with…

Q: [1 0] If A = 1 1 and b = 0 li 21 a. Find £. b. Find the projection of b onto the column space of A…

A: By Bartleby policy I supposed to solve first 3 subparts.Post separately remaining part(s).  As this…

Q: (BOunded st) show that a subset M in a nor med space Xis bounded if and only If there is a positive…

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Q: B 46. Find mLA 9.6 7.2

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Q: 8. Natalie recently purchased her first home for $166 000. Calculate the amount of Natalie's…

A: Natalie makes a downpayment of 15% of the total amount.

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: g(x) = 2x - n+ 4 sin? x g(t) dt. %3D 0.

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Q: The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's…

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Q: The triple integral below gives the volume of a solid region in space, D. V = S (1-y dzdydx Rewrite…

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Q: Determine the monthly payment for the installment loan. Annual Amount Financed (P) Rate (r) $16,000…

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