Find T(t) and N(t) at the given point. r(t) = 5 cos(t)i+ 5 sin(t)j; t = 3 T 3. N(E) || ||

Q: Let r(t) = (sin t, 2 cos t), t = (a) Find r'(t). (b) Find T(t).

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Q: tan(v) In(cos(v))dv.

A: Assume lncosv = t Differentiate both sides

Q: For f(t) = 12 sin(450 t) + 10 cos (300 t) Find F(s):

A: f(t)=12 sin450 t+10 cos300 t

Q: Find the extrema of f(x) = 2 sin x − cos 2x on the interval [0, 2 ].

A:

Q: Find L[f]for each f(t). Q) f(t)=e5t cos4t.

A: The given function is  ft=e5tcos4t We have to find the Laplace transformation of a given function.

Q: r' (t) × r" (t) to ||r' (1) × r" (t)|| Use the formula B (1) = T (t) × N (t) to find B (t) , and…

A: Given: The vector r(t)= a cost i + a sint j+ ct k   (a≠0, c≠0)

Q: dy ? dx If sin(x + y) = xy, what is the expression for cos(x + y) – y x – cos(x + y) (A) cos(r + y)…

A:

Q: 49. Let x = 12 + 1, and let y = sin t. (a) Find dyldx as a function of t. d dy (b) Find as a…

A: x = t2 + t        and  y = sint

Q: Solve for all values of x over the interval [0,2m]: 2sin(x)=sin(2x)

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Q: [3] Let f(x) = –x³. find p2, P3, and p4. Cos x and po = -1, pi = 0. Use the Secant method to

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Q: cos (2? + y')dA where D = {(x, y) | 16 s a² + y² < 36} Find

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Q: Find , where : = sin (x²) cos (y) COS 6.x sin (a) cos (y) 2.x sin (a) O2.x cos (2) 2r sin (2*) cos…

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Q: Let r(t) = cos(t) i + 4 ln(t² + t)j + 5 tan¯¹(t) k. Find 7' (t).

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Q: If y = 2 sin ( 3x+ n) –1 , The range is : (- 3,1) O (-1,3) O (-2,2) O (-3,3) O

A: the given function is  y = 2 sin3x+π-1

Q: 1. / 3 cos³ x sin? x dx

A: NOTE : As per our guidelines we are supposed to answer only one question . Kindly repost other…

Q: Find the value of f(-1) when f(x) Select all that apply 1. f(-1) 2. f(-1) = 3. f(-1) 4. f(-1) = = =…

A: To find the value of f-1 when fx=3 tan-1 x-5 sin-1 x

Q: f(t) = cos(nt) u (t-2)

A: As per the question we are given a function f(t) and we have to find the graph of its Laplace…

Q: Answer the following: Scos(t - 27/3 ) 27/3 t > 1.Find I f(t) if f(t) = wwwww wwwm

A: Using shifting rule of laplace transform,

Q: If y = sin x – ln (2x), then dx3 ||

A: The given function is: y=sin(x)-ln(2x)

Q: f(t) = -3+4 cos(,(t – 3 ).

A:

Q: A power signal which is periodic with period 2n and is characterized by the form f(x): Expand f(x)…

A: please see the next step for solution