Which of the following vector-valued functions represent the same graph? (Select all that apply.) r(t) = (-5 cos(t) + 4)i + (6 sin(t) + 5)j + 4k r(t) = 4i + (-5 cos(t) + 4)j + (6 sin(t) + 5)k r(t) = (5 cos(t) − 4)i + (−6 sin(t) − 5)j + 4k - ✔ r(t) = (-5 cos(2t) + 4)i + (6 sin(2t) + 5)j + 4k

Q: How can I find the dependent variable, independent variable, order and linearity (whether linear or…

A:

Q: f(i) = 5, f'(i) = -3i, g(i) = 3i, and g'(i) = 4. Find (fg)'(i).

A: Given fi=5,f'i=-3i,gi=3i,g'i=4. Find fg'i.

Q: Find f(t). f(t) = exp(-3t) sin(t) exp(t) sin(3t) exp(3t) cos(t) exp(-t) cos(3t) exp(3t) sin(t)…

A:

Q: Determine if the setsin² {sin²x, 1-cos(2x)} is linearly dependent or linearly independent on I =…

A: Let B={sin2x,1-cos(2x)}.

Q: Compute 2 sin x dx -2 4 1 -1 2] O O O

A: Answer is- Option 3 is correct Explanation is given below...

Q: (c) f(y) = √√2y + (3y + 4y²)³ 1-t (d) g(t) = sin³ (e¹−t + 3 sin(6t))

A:

Q: Is sin(z) bounded in the complex plane?

A: In mathematics, a function is said to be bounded if there exists a real number M such that the…

Q: A graph of f (z) =a cos(br) is shown, where b is a positive constant. |(0, 4) (T, 4) |(27, 4) -2…

A:

Q: (sin(t) – cos(t)) (sin(t) + cos(t)) Simplify to a single trig function (csc(t))(2 sin(2t)) CSC

A:

Q: a) f(4x)dx x)cx

A: ∫02f4xdx Now, solve the above integral, ∫02f4xdx=∫01f4xdx+∫12f4xdx=f4·1-f4·0+f4·2-f4·1=f8-f0=1-0=1…

Q: f(2) =2x² + y+i(y² – x)

A: