The orthogonal trajectories of r = a + 7 is where a being parameter. 02 Inr Inr +c 2 Inr = Inr = + 7c 2

Q: The position of a particle moving along the x - axis at time t is given by x(t) = ecos2t, 0<ts n.…

A: Given data: The function for position is, xt=ecos2t.

Q: Let s(t) = E-„8(4t – 4kn), where k is an integer. The result of the integration s(t)stnc(t)dt is A.…

A: Solve the integral:  ∫-∞∞stsinctdt=∫-∞∞∑k=-∞∞δ4t-4kπsinctdt…

Q: Obtain the mathematical model of the thermal system in Fig. 2. Note: Consider the heat transmitted…

A: (a) Given that q1 and q2. So the objective is to find the mathematical model of the thermal system.…

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Q: Use the Euler's method to obtain a four-decimal approximation of the indicated value. Use h = 0.1.…

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Q: Find the branching points of the given complex functions a) f(z) = vz+ vz– 1 b) f(z) = vz² +9

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A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Let the initial approximation be xº = (§, 4, 7)". (i) Compute r', x², and r³. (i) Compute error err…

A: Given, A=511142124, x=x1x2x3 and b=617.   The system of equations…

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A: Note that I used R software for my calculations.  Regression analysis

Q: Estimate V7 by using ONE of the following methods. (a) The linearization of f(x) = Vĩ at an…

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Q: Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First…

A: Given, y'=2x-4y+3, y1=6.    The improved Euler's method is given by…

Q: Q-2 Find the orthogonal trajectories of r= asin" 0 where a be the arbitrary constant.

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Q: The position of a particle moving along the x– axis at time t is given by x(t) = ecos2t, 0stS T. For…

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Q: The approximation ofx'e*dx by Gaussian Quadrature with n=2 is (Use c21 = C22= 1 and r21 V3 O None of…

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Q: Let z = 8x2 + 7y2, and suppose that (x, y) changes from (2, -1) to (2.01, -0.98). (a) Compute Az. Az…

A: We have to find   dz and delta z and compare the the values.

Q: The orthogonal trajectories of r = a + 10 is where a being parameter. 02 Inr =-+ 10c 2 Inr +c 2 Inr…

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Q: The position of a particle moving along the x - axis at time t is given by x(t) = ecos2t, 0 stsn.…

A: We have to solve the problem

Q: Find the least square polynomial approximation of degree two to the data. 0 -4 Let y = a + bx + cx².…

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Q: In the isosceles triangle ABC, AB=AC=5 units and BC=6 units. Find the location of the point D on the…

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Q: e{f; 3et dt } = A(s) A(s) değerini s'e bağlı bulunuz. s =1 için A değerini hesaplayınız.

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Q: The orthogonal trajectories of r = a + 4 is where a being parameter. 02 Inr = + 4c 2 02 +c Inr Inr 2…

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Q: (b) Now, consider the inhomogeneous problem dre Fre it =F(1,t), 00 00₂ t> 0. w(z,0) = 0, w(0,1)=0,…

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Q: 4. Use the I.V.T and Rolle's Theorem/M.V.T to prove that the equation below has a unique solution in…

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Q: where = The maximal altitude of a satellite is given by the formula Y = yo + (R+ yo) vo) [2 ( 1 +…

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Q: Given the dătă : X: 0. 3 4. 6. 7. 8. 9. Y: 9.1 7.3 3.2 4.6 4.8 2.9 5.7 7.1 8.8 10.2 Fit a regression…

A: X Y X^2 X*Y 0 9.1 0 0 1 7.3 1 7.3 2 3.2 4 6.4 3 4.6 9 13.8 4 4.8 16 19.2 5 2.9 25 14.5…

Q: a) Exaluate: %3D :(?)6 puo (x puif (9 and (3 +x x <O %3D for which f (x)=9). Give exact working out…

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Q: Q1: We have the following equation: du du u u 0. du dt ду a) Use the above approximation formulas…

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Q: K is the midpoint of JL J K If: JK = 5x +1 and %3D KL = 7x 3 - Find JL.

A: Since, K is the midpoint of JL, then the length of JL is given by the sum of lengths of JK and KL.

Q: The position of a particle moving along the x- axis at time t is given by x(t) = ecos2t, 0sts n. For…

A: Given: xt=ecos2t

Q: Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First…

A: h=0.1

Q: The approximation of , xln (x +) dx using two points Gaussian quadrature formula is: 4.08176 3.0323…

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Q: 5. Consider the linear regression model with assumptions (i) to (iii) and (iv*). ((X'V-'x)-x'v-)y. 1…

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Q: Given the data below about the Axial Strain(%) vs Deviator Stress: Axial Strain (%), x 2 Deviator…

A: We can solve this by using given information 0 0 1 27.227 2 44.92 3 59.776

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Q: Use Simpson's 13 rule (1) and the Trapezoidal rule (2) to numerically integrate the following…

A: According to Simpson's 13 rule I1 can be calculated as I1=∫abf(x)…

Q: メpr t! prove that : d = (s«k-tank)

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Q: Use Euler method to approximate the value of y(0.1), given ay' - by = ksin(cx) + mx , y(0) = 10 with…

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Q: Give the family of orthogonal trajectories of y' = Cx + 5. a) O x² + y² – 10y¯' = c b) O x² + y² +…

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Q: A signal x(t) u(t) e¯ «t is applied to a network having an impulse response (1) W u(t) e Wt. lere a…

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Q: The OLS regression of P, on Z, for t = 1, ., 104 gives P = -3.01 – 0.74Z,, R = 0.31, SER = 3.66.…

A: From the given information, Pt on Zt for t=1,....,104 regression was constructed. The OLS regression…

Q: The position of a particle moving along the x - axis at time t is given by x(t) = ecos2t, 0sts n.For…

A:

Q: 1. Find the orthogonal trajectories of the family of curve z +3y cy ,where c is an arbitrary…

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Q: The linear spline S12 (x)for the given model date is -1 1 3 f(x) 1 (x+1, xe [-1,0] () 12х - 1, х€…

A: The given data is  x -1 0 1 f(x) 0 1 3

Q: Find (by hand and calculator) the least squares fit and RMSE error for the periodic models y = F3(t)…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 5- 0SxS4 f(x) = 8 otherwise a. Show that E(X)= v(x)= b. The coefficient of skewness is defined as…

A: a) let us prove E(x)=43 E(x)=∫04x(0.5-x8 )dx     =∫04(0.5x-x28 )dx     =0.5*162-6424     =43 hence…

Q: Find the absolute maximum and minimum values of 2. 2 f(x,y) = x +y- 2x + 1on the unit disc x+ ys 1.

A: Given function is: fx,y=x2+y2-2x+1 and disc is: x2+y2≤1

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.