Transform: F (s) = 4s-16 s²-6s+13
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- Let F = (cos(5t), sin(3t) , 5t“) and G = (t cos(5t), cos(5t), Find F +G = (5t^4)+sin(3t)+t^4(cos(5t))+5e^4tS Find sec42x -dx tan 2x A - 1/2 c01²³2x- —cot²2x===cot³21+ C 16 cot82x (4sec 22x-1) B - (2x) 4 12 1 C 12 tan 2x D (cot62x) - (cors 1 16 tan 82x 1+3csc²2x 12 + +C +C +C1+ sec(t) 1+ cos(t) Simplify to a single trig function.
- A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 - 3t) Determine the coordinates of the particle if it travelled 10 units from (cos(4), sin(4),2)Find the convolution of f and g if f(t)=tu(t) and g(t)=sin(t)u(t) t-sin(t) sin(t) 1/(12t^4) O (-2/3)(cos(3t)-1)solve xsinydx+(x2+1)cosydy=0
- d2/dx2(1/x + cosx sinx)= A. -2/x3-2cosxsinx B. 2/x3-4cosxsinx C. 2/x3-2cosxsinx D. 2/x3 E. -2/x3+4cosxsinxd/dx(sin 3x5) = 15x4 cos 3x5 %3D Select one: O True O False d/dx(1/csc x) = cos x %3D Select one: O True O False d/dx[(1/x² + 1)(3x - 1)] = (3x³ + 3x - 2)/x³ %3D Select one: O True O FalseIntegrate f(cos x)e*+sinxdx A. -et+sinx +C B. e-sin x + C c. et+sinx + C D. e+sinx + C A C