Find T, N, and K for the plane curve r(t) = (4cost + 4t sin t)i + (4sin t-4t cost)j, t> 0.

Q: Given the modulus n, the encryption exponent e, and the plaintext M, use the RSA encryption to find…

A: Solution :                    We know by RSA :                                     C = Me( mod n )…

Q: A financier plans to invest up to $600,000 in two projects. Project A yields a return of 10% on the…

A: Total ammount $600,000  Project A yields a return of 10% = 0.10 on the investment of x dollar.…

Q: AUB=An B.

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Q: Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A…

A: Introduction:As per the question we are given a model of the Manfacturing is a company with a…

Q: Consider a dynamical system given by Xn+1 = ,which one of the following is X11? X11 = X11 = X11 =…

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Q: 3. Sketch the parallelogram spanned by (2, 1, 0) and (-3, 1, 0) in the xy plane and find its area.

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Q: Find integers x and y so that gcd(2021, 271) = 2021x + 271y. Find integers m and n so that gcd…

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Q: Consider the differential equation - Vy-16. Let f(x, y)=√²-16 Find the partial derivative of f ar ay…

A: Given the differential equation is                                           y'=y2-16.

Q: The average home attendance per week at a Class AA baseball park varied according to the formula…

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Q: determine the Laplace transform of the given function. Q. f(t)=cost,0 ≤t <π , f(t +π)= f(t).

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Q: y" - y' - 2y y(π/2) = 1, -8 cost-2 sint; y' (π/2) = 0

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Q: lim [(n+1)(n+ 2)...(n+n)]/" n

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Q: ● ydx - xlnx (2 + yelnx)dy= 0

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Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Solve the following differential equation by finding an appropriate integrating factor 3xdx + ((x²y…

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Q: Prove that if a field contains the nth roots of unity for n odd, then italso contains the 2nth roots…

A: Given: For n odd, a field contains the nth roots of unity.We need to prove that the given field also…

Q: The following dot plot outlines the results of a set of scores on a standardized exam. 17 6 5 43 2 1…

A: We have to  a) To find how many data items exist in the data set.  b) To What is the mode of the…

Q: How many ways can 4 CD's be chosen from a case of 10 CDs?

A: Here we have to find no of ways of choosing 4 CD's from a case of 10 CD's.

Q: əz əz Find the values of and at the given point. ax ду 3 3 2z³ - 2xy + 3yz + 2y³ - 57 = 0, (4,1,3)

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Q: (a) A circle touches they-axis at the point (0,4) and cuts the x-axis in a chord of length 6 units.…

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Q: To find the general solution of d.e. y" + 4y' + 4y = x²e-²x, k € R₁y = y(x),x>0 For value k=-2…

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Q: A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held…

A: Given that,  xin =0.2×4=0.8 kg/minxout=xv×3dxdt=xin-xout            →1     V=qin-qout+Vo…

Q: Find the complex number z, in Cartesian form, such that it satisfies the equation (1-√3i)5+ (√3-i) z…

A: Answer

Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

A: Given Data: Let us consider the given data, Flowing rate per min =8Lmin. Quantity of brine solution…

Q: Consider the function f(x)= e-ax² where a is a positive, real constant, and the operator d² B= -4x².…

A: (a) The given function is fx=e-ax2, where a is a positive real constant. The given operator is…

Q: 21. Consider the initial value problem 3 y' = 2y = 3t+2e², 3t+2e', y(0) = Yo. Find the value of yo…

A: The initial value problem  y1-32y=3t+2et, y0=y0Linear differential first order equation,Initial…

Q: Find the general solution for the following differential equation: ty' + y = 7t cos(t) y(t) If you…

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Q: 1. Let f(x) = 2 + x. Find the average rate of change in f on the intervals [0, 1]. 2. Let g(x) be…

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Q: Using only the Laplace transform table (Figure 11.5) in the Glyn James textbook, obtain the Laplace…

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Q: dro- T- ed ines OW es of opposite diagonals are perpendicular. 61. Use Theorem 3 to prove the…

A: Cauchy inequality is used

Q: How many pmanar graphs of polhedra can you find that are self dual? meaning that graph G satisfy G*…

A: We have to find how many pmanar graphs of polyhedra that are self dual.

Q: A swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t=0,…

A: Given that a swimming pool whose volume is 10,000 gal contains water that is 0.03​% chlorine.…

Q: Write an equation for the ellipse using the following information. Foci at (0,5) and (0,-5); the sum…

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Q: Using only the Laplace transform table (Figure 11.5) in the Glyn James textbook, obtain the Laplace…

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Q: List the vertices in R2 of the convex region defined by Ax ≤ b and x > 0 where A = 3 and b = 5 9 (A)…

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Q: (b) where n 22. (2) - 1 = 2(n-2) + + (²₂²)

A: Introduction:   The NCR formula is a combination and rearrangement formula in which the order of the…

Q: The max value of sinx+5cosx

A: We have to find the  maximum value of the given function.

Q: Question 2 A function is defined as (a) (b) (c) (d) f(x, y) xy x² + y² - 1, lim f(x,y) Determine…

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Q: (a) where n > 2. (²)(2)-(²) (-2) = n

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Q: x[n] (3)* - h[n] = u[n − 1]. [-n − 1] and h[n]

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Q: Find the volume of the solid generated by revolving the regions bounded by the lines and curves y =…

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Q: solve the given initial-value problem Q.y′′+y =t −u1(t)(t −1), y(0)=2, y′(0)=1.

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Q: Q1 If set A = {a,b,c,d}, and B = {1, 2, 3} then what is the value of A x B ? Enter your answer here

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Q: Solve the linear system by the Gauss-Jordan elimination method. Soybean meal is 12% protein and…

A: Given : Soybean meal is 12% protien and commeal is 6% protein total amount of mixture together =240…

Q: Ət Draw a dependency diagram, and write a chain rule formula for and where t= g(p.q.r), p=h(m,n),…

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Q: The table below shows retail sales at drug stores in the United States in billions of dollars since…

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Q: ²-1+(1+x+x²). (1 + x + x² ). xy dy Solve the differential equation dx

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Q: Samantha owns 6 different mathematics books and 6 different computer science books and wish to fill…

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Q: (a) In how many ways can 8 books be choosen from a group of nine? Your answer is: (b) How many ways…

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Q: ta constant distance p from the origin. find the equation of the circle which touches both the axes…

A: All such lines are tangent to the circles of radius p                y=mx+p1+m2⟹   m=dydxBy…