Draw the following Polar Curves:- 1. r= a cose

Q: ng, parallel. or skew. ntaining both lines and m. h and a normal vector of lar to any normal vector…

A: The symmetric equation of l is x+15=y72=z-312 From the symmetric equation of l, we see that a…

Q: Q9: If f (x)=, then the divided differences F [a, b] and F [a, b, c] are 1 a 1-b 1 с 1 D) be A) -…

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Q: Six students are trying to identify an unknown chemical compound by heating the substance and…

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Q: Q20) The singular point (s) of (x + 1) y' + x²y = 0, is (are): a) 0,1 d)-1 b) 0,-1 c) 0

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Q: Integrate f(x) from x = 0 to 10 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000+24563x -…

A: Given f(x)=5000+24563x-7418x2+768x3-31x4+0.14x5 Let I=∫010f(x)dx Here a=0 and b=10

Q: Use undetermined coefficients to find the particular solution to y'' + 3y' 10y = 3e²t Y(t) = ₁² +₂e…

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Q: 9. All of the following statements regarding the general equation of the parabola x² - 20x + 4y + 88…

A: Let us consider the standard form of parabola x-h2=4p(y-k) The vertex of parabola is (h, k) The foci…

Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = 3e³t 3 Y(t) = ₁e…

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Q: A mini zoo is engaged in animal breeding where the animals require three different nutrients…

A: Given: X: no of units of product alpha Y: no of units of product beta X>=0,Y>=0 Minimize…

Q: Find the value of y (0.3), given the differential equations y = y²-y-x, y (0) = 1, h = 0.1 O…

A: We can solve this using euler method

Q: Find the values of a and b for the curve x2y +ay? -b if the point (2, 2) is on its graph and the…

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Q: Consider the following 2 planes: ?1: 2? − ? − 4? − 4 = 0                   ?2: 4? − 2? − 3? = 3…

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Q: 2 For n=1 a) Verify that that lin b₁=0. 7380 b) Compute Sy. <) Find an d) How малу Must be added Sum…

A: This is a multipart question having three or more interrelated subparts. As per the company policy,…

Q: Let A= (11). It can be shown that etA - et Use this fact to write the solution to the initial value…

A: Given that A=1101 and y(0)=01.

Q: 14x10 1. The velocity of a rocket is given by v(t) = 2000 In -9.8t,0≤t≤30 where 14×10¹ - 2100t v is…

A: Since you have asked multiple questions,we will solve the first question for you. If you want  2nd…

Q: How do you solve this using differential equations?

A: Given: The detective got a call at ten past midnight. He arrived at the crime scene in 20 minutes.…

Q: Let C be the parametric curve with parametric equations Sx=t(t²+1)-¹/2 te [-3,3] y = 2t - 2 tan-¹t -…

A: The arc length of a parametric curve is calculated using the formula: L=∫ab(dxdt)2+(dydt)2dt, where…

Q: (a) Find the period of y = f(x). (b) What type of function is y = f(x)? Choose between odd, even or…

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Q: 26.2. Suppose that f(z) is analytic and has a zero of order m at zo. Show that (a). f'(z) has a zero…

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Q: Given the complex numbers z = 2 + j3,zy = -1 - j2, and z3 = 4 + j4 find; Z₁ Z122 Im…

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Q: randomly pulling a black marble from the bag are 3:8.   A new drawing of the bag of marbles is…

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Q: Solve the following equations 2)3x+2 = 27 1) 2Ln (√x + 3) + 2Ln(√x − 1) = Ln(6x - 7)

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Q: Prove with complete and neat solutions 1. Let H be a proper subgroup of G such that Vx, y ≤ G - H,…

A: As per our guidelines we are supposed to answer only first question. Kindly repost other parts in…

Q: Q18) The formula of the particular solution yp of y) + 4y"=3 sin(2t) - 5cos2t, is: a) y₂ = Asin(t) +…

A: The particular solution to be assumed for the functions to solve the differential equation using…

Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: We have to find Radius of the can, Height of the can and Minimum cost.

Q: A. Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22…

A: Since you have posted a multiple question according to guildlines I will solve first (Q1)question…

Q: Find the unit tangent vector to the curve at the specified value of the parameter. T r(t) = 2…

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Q: What is the unit vector with the same direction as the vector v = 2i - 7j? Write as a linear…

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Q: A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk…

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Q: Solve the system of equations x = 2-5z4y -4x - 2y = z-3 Enter your solution in parameterized form,…

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Q: You are designing a poster which has a border around the printed portion. The border is 2 inches…

A: Given data:  Design a poster which has a border around the printed portion. Area of poster 300…

Q: Use Euler's method to find approximate values of the solution of the given initial value problem at…

A: Let us start solving the problem step by step using euler method

Q: (s+2)2+16 2s2+18 (S-2)2+16 2s+18 Q18) Combine the following power series expressions into a single…

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Q: 7. Let S = {(3x² + 1, x − 1) | x € Z}. (a) Show that S is a subset of R. (b) Are (13,-3) and (7,1)…

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Q: Suppose the control problem is The Hamiltonian function will be given by [² (2y + 3u)dt Subject to…

A: As per the question we are given a optimal control problem. Where we are given the cost function and…

Q: Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x…

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Q: C d. M8 n=1 n=2 (n + 1)! 22n-2 (-1)" nln n

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Q: Find the upper triangular matrix of 6 15 55 A = 15 60 225 55 225 979

A: Consider the given matrix, A=61555156022555225979 here we need to find upper triangular matrix of…

Q: 7 in. 112' C Give the measure of angle B to the nearest degree. 10 in.

A: We will use the Sine rule. It states that if A,B,C are angles in a triangle and a,b,c are respective…

Q: f(x) = x³ + 2x²-5x-6 a.) Use Factor Theorem to show that (x+3) is a factor of f(x) b.) Fully…

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Q: Find the limit. lim t-0 sin(6t) ; + e-tj + 4k i t

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Q: Given f(t) = L-¹ value of k is 3s+1 s³+4s²+s(k-3) if lim f(t) = 1, then the t-400 2 C 3 C -

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Q: onsider the function f(x) = x³ + 2x + 5.

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Q: осод ва меньва оз 4.th order. вида у со.в), comest Фу decimal placesi 16 - д-х2, у (06) =117379

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

Q: (b) Define i: C₁ → R by i(x) = x. Give three examples of elements of Ba(i, 1).

A: This is the question of open ball in topology.

Q: A club recruit members either through active recruitment by its current members or through…

A: Given that the club recruits members as follows: 1. By its current members. 2. Through advertising…

Q: Solve using a. Gaussian elimination and b. Gauss Jordan elimination methods 2x₁ + 6x2 + x3 = 7 X₁ +…

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Q: Prove that if lim x(t) = X and lim y(t) = Y, then lim(x(t), y(t)) = (X, Y). t-a t-a t-a

A: Now, xt, yt=∫cdxtytdt Given: limt→axt=X   , limt→ayt=Y

Q: a) y(t)=ce²t cos(5 t) + c₂e² sin c)y(t)=ce²t cos(√5 t) + c₂et sin (√5 t) Q8) The inverse Laplace…

A: Some of the Properties of Laplace transformation…

Q: 1. Find the coordinates of all points on C where the tangent line is horizontal. 2. Set up the…

A: This is the question of the application of Differential Calculus.