Find the length of the arc: x = sin² t, y = cos 2t; 0 ≤ t ≤. 3 √15 2 3√5 4 15 4 None of these

Q: If sin(x) = , use trigonometric functions to find %3D cos(x). A) 4 B)! C) 7 16 D) +/5 3/4

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Q: Si sin“ (3y) cos® (3y) dy 128 2340135 128 780045 O 9.64 x 10 4 O 2.89 x 10 3

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Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

A: We use the quotient property of trigonometry

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A: Given that, sinu=tanu&lt;0

Q: Determine whether r(t) = (5 sin t, -12 sin t, 13 cos t) lies on the surface of a sphere and show how…

A: a) For the given vector valued function r(t)=&lt;5sint,-12sint,13cost&gt; To check the parametric…

Q: 1. Which is equivalent to f sin y cos(/2) dy? [sin (1/2) - sin (³/2)] dy √ [sin(1/₂) + sin(³/2)] dy…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate. Write your answers in exact form. a) S*(secx tan x - x) dx b) sin x -dx 3+cos x

A: We have to evaluate the following integrals: a)  ∫0π4sec x tan x-xdxb)  ∫sin x3+cos xdx We know the…

Q: Find a real number c and a positive number L for which :-     see the equation as attached here

A: Properties of the finite integration help to find the values of L and c. There are finite…

Q: TT 1 4.) S“ S,x² sin(xy) dydx

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Q: etermine the length of the arc formed by y = 3x – 2 from x = 1 to x = 2.  Choices:

A: Here we have to determine the length of the arc formed by y = 3x – 2 from x = 1 to x = 2.

Q: Evaluate each of the following. a) [o sec²(x) tan (x) dx b) / ]x = 5| dx c) / x° Vx? - I dx

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Q: Find the length of an are with parameterization r(t) = (-7 sin (t), -7 cos (t), -4). on the interval…

A: In this question, We will use the formula of the length of an arc of the parametrized curve.

Q: Given the cardioid r= 3(1+cosθ) 0 ≤ θ ≤ 2π Determine in wich points the cardiod has vertical…

A: Differentiate the equations r=31+cosθ and x=rcosθ with respect to θ, to find drdθ and dxdθ.…

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

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Q: Find the lengths for the (r= θ² , 0 ≤ θ ≤ √5)

A: Arc length

Q: State the inputs and outputs for arcsin (also stated as sin¹). Explain why the angles for this…

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Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

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Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

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Q: 1. Given : R]- 1 T] = Cos- Sin0 Sin20 2sine coso Cos -2sinocose -sint cost Sine cose Cos-Sin - T…

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