Find a parameterization for a circle of radius 5 with center (4,-6,2) in a plane parallel to the xy plane. Write your parameterization so the x component includes a positive cosine. x(t) = y(t) = z(t) =

Q: y² = 2x = x² 1- y² = (x - 1)² x = 1+√1-y²

A: (a-b)2 = a2 - 2 a b +b2

Q: Can you answer it and explain your steps

A: Step 1:   Step 2: Step 3: Step 4:

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A:

Q: S (et +3e²x) dx 2x 5+4et-e²x

A:

Q: m(x) = x /-5 , what is m(20)?

A: Given that  m(x) = x/(-5) To find  m(20)

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Q: 3x2 dx (x-1)(x2 + x + 1)

A:

Q: (x- 3)dx x2 -6x + 10 3.

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Q: r(x)= 9/x-3 r(8)

A: Given:

Q: Solve for z when f(z) = 0 where f(z) = 12z² + 25z + 12. Z=

A: We can find the value of 'z' by solving the quadratic equation in the below steps.

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A:

Q: (x t5) (x-4) dx

A:

Q: 1. y=x√x²-2

A: Note: According to our policy, we can answer only the first question or the first three subparts of…

Q: Solve : f(x) = 3√(x - 1)

A: Given function is  f(x)=x-13

Q: x² dx x²-3x+2

A:

Q: If x- /10 =11, find x-V10x. (a) 1 (b) 10 (c) V10 (d) 3

A:

Q: (x4 4x2 + 6) dx = 2 (x*-4x2 + 6) dx Select one: True False

A: Property of definite integral ∫-pp f(x)dx = 2∫0p f(x) dx , if f(-x) = f(x) or it’s an even function…

Q: x'dx √√x(1-x)

A:

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: The function f(x) = In(1 – x²) is represented Eo Cnx".

A:

Q: (3x² - 10)dx x² - 4x + 4

A: The given integral is ∫3x2-10dxx2-4x+4

Q: need

A:

Q: x³ + 3x² + x +9 3 (x² + 1)(x² + 3) s dx

A:

Q: How do I solve this? Please show steps. Differentiate: F(y) : y4

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Q: -4x+2 Integrate f6 dx with respect to x using the substitution method. (-2x2+2a-2) COMPLETE THIS IN…

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Q: 2) fa)= x

A: The given function is: fx=xx+1

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Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: If u(x) = x3, then du = 3x2.

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Q: x-3 dx (2x–10x+13) /10x²–42x+45

A: To evaluate the given indefinite integral.

Q: yete (t+3)− −¹+0 e Solve for y. ye-¹=(-t-4) et+C

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Q: Find fof where f(x) = 3x 5 and f: R R. - O al f(f(x)) = 9x – 20 O b f(f(x)) 9г? — 30х -25 Oo f(f(x))…

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Q: f(x) = Vxe-x/2 is inc decreacing

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Q: 1 (6x–15x +9x) = x'e D² -D+3 true Error

A:

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.