Simplify. Assume that all variables represent positive real numbers. 4 5 -6/20

Q: 2. Use syntr dhe hirst polynomial by the second. а. х2+x -3; х-1 b. 4x- 3x2+ 3x - 2; x-1 c. x'+x°…

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Q: Use Clairaut's theorem to draw the geodesics of the catenoid

A: Solution :-

Q: (a) 8) Show that F = (y? - 4r, 2ry - sin(y)) is conservative. (b) Find a potential for F from part…

A: Here we use the partial derivatives to find the potential function and use the fundamental theorem…

Q: Match each of the power series below with the correct statement about it. Series A: +1 n=0 Series B:…

A: This question related to power series .

Q: Answer the question. 16) Ben hits a homerun that has a height defined by the function h(t) = -16t2 +…

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Q: Find the convolution of the two functions: f(t) = 2t and g(t) = () Cos 3 t. %3D

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Q: Determine the six roots of (717.925 + j126.589). Show the roots in Argand's Diagram.

A: Let        z=717.925+j126.589

Q: That Posseses in finitly Many solutions show that the InregraL equation ges)- f(s) tt S [cos(s+]…

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Q: 2. Find the power series representation of the following functions. And then write out their I.O.C..…

A: We know that series expansion of 11-x 1-x-1=1+x+x2+x3+x4+x5+...... We know that series expansion of…

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Q: 10. Find the general solution of the system of linear equations x - y + 2z + v = 2 2.x – 2y +z + 5v…

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Q: Find the solution of the initial value problem y" + y = 8(t - 2), y(0) = 1, y'(0) = 2.

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Q: 7. When 3 edges are removed from a graph G without removing any vertices the resulting graph G' is a…

A: Given: 3 edges are removed from a graph G without removing any vertices resulting in a graph G'…

Q: The degree of precision of a quadrature formula whose error term is :") is a) 1 b) 2 c) 3 d) None of…

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Q: 1. Let f: R → R be a function defined by f(x) = x5¬* for every x E R. Sketch its function with…

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Q: Show that the differential equation dy -2 - yezy dr rezy – 2y is exact and find its solution. 3.

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Q: 25.1. Expand each of the following functions f(z) in a Laurent series on the indicated domain:…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. A test program for grade 10 can generate quadratic functions in a standard formy = ax + bx + e…

A: To construct a tree diagram and show all possible quadratic functions :-

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Q: [CLO-1] The table attached shows the preference schedule for an electic Number of Voters 1st choice…

A: Count the total number of votes The total number of votes are 41+10+10+15+5=81

Q: 8. Find the indicated term of each harmonic sequence. 26 1 1 1 1 a. 5'8' 11' 14' 10th term ... 1 1 1…

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Q: 5. Let x be a solution to the homogeneous linear system of equations Ax = 0, where A is an n xn…

A: Solution:-

Q: Find the inverse Laplace transform of the following functions: (a) F(s) = 38+6 %3D s2+3s' (b) F(s) =…

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Q: tsin 3t fre>=5. ー3七

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Q: Determine whether each graph is bipartite. Show your work using two subsets to support your answer.…

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Q: 8:3 18. Coefficient of correlation between two points. From the followiag given sets of observations…

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Q: 13. Solve the rccursive formula an = an-1 +1+2"-1 with ao = 0. Verify by %3D induction.

A: T

Q: 11. Find all zeros of the polynomial P(x) = 2x + 7x + 5x³ + 7x?+ 3x. %3D

A: This we shall do by inspection method. The detailed solution typeset in latex is presented as the…

Q: Consider that the absolute luminosity of the disk of the Milky Way, in the blue band, is L_B=…

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Q: a) Write 32 x 31 x 30 x 29 as a fraction using factorials. b) Write as a product 221 + 21!

A: Here we can use the fact that  n!=n×(n-1)!Andn!=n×n-1×......×3×2×1

Q: 2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider J…

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Q: The equilibrium in an infinitely repeated game is the Nash equilibrium. True or false? Explain

A: Concept: Nash Equillibrium in game theory states that a player can achieve result by not deviating…

Q: Question 4: Linearize * + 2x + 2x2- 12x + 10 = 0. Around its equilibrium position

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Q: The circumference of a sphere was measured to be 88 cm with a possible error of 0.5 cm. Use linear…

A: Solution :-

Q: 8. If A-a- cos0)à, - phå, +zcos*¢â, what is 9. For the conical surface 0= 30",0SOS 27,0Sr52, the…

A: 8. Consider the given vector, A=ρ41-cosϕa^ρ-ρϕa^ϕ+zcos2ϕa^z The formula for divergence in spherical…

Q: (f) The solution of the following problem: Utt = Urx) 0 0, u(0, t) = 1, u(1, t) = 0, t2 0, u(x, 0)…

A: This substitution use for to make nonhomogeneous boundary conditions to homogeneous boundary…

Q: Complete the following payroll ledger. Find the total gross earnings for each employee. Time and a…

A: For BianchiHours Worked -         46.5Reg. Hrs. -                  40 (Given)O.T. Hrs -…

Q: 2. Prove by the method of mathematical induction that for any integer n >1 the expression 8" + 13 is…

A: Principal of Mathematical induction: Let us assume statement P(n) . Step 1: P(1) is true for n=1.…

Q: Use color theorems to show that the chromatic number of a USA graph is four. Please explain why the…

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Q: 2. Let Ax = b be a system of linear equations in variables. Designate the columns of A as a, a, a,…

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Q: Marivic is a sales agent for the High Ace Realty.  She is paid based on commission only .She is…

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Q: Sketch the region of integration and change the order of integration. T/2 cos x f(x, y) dy dx

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Q: The amount of coffee in a can has a mean of 350 g and a standard deviation of 4 g. 9) Sketch a…

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Q: A tank contains 60L of water contaminated with Mercury at a concentration of 0.03 mg/L. Clean water…

A: Here we need to find and then solve the differential equation for the concentration of mercury using…

Q: Σ (-1)"-1_3 n4 * Jerror| < 0.0007 n=1 Term: n =

A: Error estimation theorem is used

Q: Is it the case that for propositions p, q and r, (p q) ((pV r) (q V r))?

A: To show that for preposition p, q and r , the given case satisfy or not .

Q: Solve the given ODE using Laplace Transform a. y" – 4y' + 3y = 6t – 8; y(0) = 0, y'(0) = 0 |

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Q: idleutify the conic Seetion from the equeition:. (1) 16y-an-36n –-964-36-0 2 () n* +y" -ux +loy-7 =0…

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Q: shown in figure below. y =h²

A: Centroid of region R x¯=∫∫Rx dA∫∫R dA   and  y¯=∫∫Ry dA∫∫R dA

Q: a) A triple integral I is written using spherical coordinates as follows, p* cos o sin o d0 dodp. i)…

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