Solve the equation dy = X t y =4. X. C Hint : let V= ), the solution of it includes a constant C) using the initial condition to determine the value of C. Cnote: can determine the constant c you even be fore simplifying the general solution.)

Q: The distance from the point P(3, 1,0) and the line x = 3 – 6t y =1+ 3t z = 7t equals to Answer:

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Q: #4 Solve each equation for the unknow variable a) 2r3 2 Solve for r. 27

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Q: Given P(A)=0.4, P(B)=0.5, and P(A/B)=0.8, find P(BIA). a) 0.5 b) 0.8 c) 5/8 d) none of the above

A: P(A)=0.4P(B)=0.5P(A|B)=0.8

Q: b) §- x dx =? V1+x*V1+x°

A: Let's integrate,

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A: Pell's equation is .To Find:Use the Chakravala to find the solution.

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A: Given that, y''+1xy'-9x2+4y=0

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Q: z dz In order to evaluate JA2 – 9 we use the substitution sec e I= 3 sec 0 9. I= -sec 0 4. I= sec 0

A: Indefinite integral by substitution method

Q: Individual Practice: 1. Solve for the value of x in vx = 13. 2. Solve the equation vx +7 = 18. %3D

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Q: Solve for a algebraically. Give exact answers (no decimal approximations). а.) 4° = 7 b.) 43z-1 –…

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Q: d'v dv -4 Ju 3) + 7V= 0 dyz hp

A: From the given differential equation: d2vdu2-4dvdu+7v=0 So, we can also write as: D2-4D+7v=0 So, the…

Q: Q6: Solve Nhe Complex equation a, z+z + Iti = 0 3 b. Z°+ z+ Z +1 = 0 where Z= x

A: Concept: Complex numbers: A complicated equation is one that requires the use of complex numbers to…

Q: (A) Solve the following P. D. E.: Uy = y Ux

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Q: x dx b) §- V1+x?V1+x*

A: Using, property of integration

Q: Question 8 Prove that )- ()•() - () ·+(-1)" (") +.+ Note that this equation can also be written as…

A: Let's find.

Q: Q/ Determine whether the ?D.E. is exact or not a

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Q: Q2) Solve two of the following: 2 In 10 log10 -dx x A) S 2

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Q: Directions: Solve the following equations 2.) 2(5+e*+1) = 100

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: e) 36x* - 13x +1= 0.

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Q: TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: Transcribing the text in digital format.

Q: 4а. tanx + 1 %3D 0

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Q: Find the general solution to the equation y(4) – 10y" + 25y" = 0. NOTE: Use c1, c2, C3, and c, as…

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Q: ) y''' + 3y'' + 4y' + 12y = 8cos2x - 16sin2x

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Q: 1 Evaluate Iz|= 12.0 |z| = 12.0 dz (z – 10.0)³(z² + 169)2

A: Introduction: When we study complex integration, Cauchy's integral theorem and Cauchy's integral…

Q: Solve for x T Submit 4 3x [10

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Q: 27 4х + 2 24 4х A) 4 С) 3 В) 0 D) 12

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