Ohm's Law for the current I in a circuit with voltage E, resistance R, capacitance reactance Xc, and inductive reactance X, is E Use this law to find X, if I= 6- 2 i, E=5-5 i, R=9, and X, = 1. * (X_ - Xc) i R+ 3 O A. -8 i О В. +8 i Oc. --81 OC. - 8 i 3 O D. 2 *81 +8 i

Q: Euler's formula: Evaluate the following expressions.   21. e^(-ipi)

A: Explanation of the solution is given below...

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Q: Solve the expression. 7- [60 (6 × 2)]

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Q: Given F(x, y, z) = sin (4z) + ycos(5z) + 9xyz -3 = 0. Find and (Use symbolic notation and fractions…

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Q: Evaluate. Check by differentiating. Sxe-* dx A - (x - 1)e-X + C B В -(x + 1)e-X + C (c) -xex + e¯X +…

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Q: What value would be returned based on the formula in Cell A49? A 43 | праb 44 прсе 45 npfo 46 npbb…

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Q: Evaluate. (Be sure to check by differentiating!) |(x³ + 1)*x² dx 4.

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Q: d a second solution of the ODE: (x² +1)y"-2xy' +2y=0, if y₁ = x is a solution of the ODE. · el-pdx…

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Q: 31 Xi + 47 Xz + 14X3 Ex Al+

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Q: Suppose Cov(X,Y) = 781. What is Cov(4.5X, 7.5Y)?

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Q: Find the derivative of : yo √√x ²³² +1 (x+3) * (x-1)/3

A: given  y=x2+1(x+3)x(x-1)13formula used is (i)  lnxn=nlnx(ii)  lnab=lna-lnb(iii)  lna.b=lna+lnb(iv)…

Q: 2 АЛА N -2 2 Select one: O a. y -cos (3x - TT) O b. y = 2cos (3x) O c. y = 2cos (3x - π) O d. y -cos…

A: To choose the function that represents the following graph.

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Q: PRE-CALCULUS WITH TRIGONOMETRY 170 11. Use the definition of Logs to solve for x: æ log2 (64) = 2 O…

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Q: D Question 32 Given u 5i + 4j and v = 4i - 3j, determine -9u - v. O-9u-v=-41i - 42j O-9u v = 22i —…

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Q: 3 and v = 4. Evaluate 16u2v3 when u = - Write your answer as a simplified fraction or integer.

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Q: 1 dx ½ x* -1 1 a) arctan -In 3+ 3 4 8 1 b) -arctan 3 --In 2+ 3 4 8 c) -arctan 3 +-In2+ 4 8 1 1…

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Q: 11. Which expression does NOT equal 25n12? a. (5n°)2 b. (5n³)(5n°) c. 25(n°) d. 5(n2)

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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.