12.7 Determine the Laplace transform of each of the following functions: (a) f1(t) =2t2e−3t u(t) (b) f2(t) =5sin(6t +30◦) u(t) *(c) f3(t) =10e−4(t−3) u(t −3) (d) f4(t) =15(e−2t −e2t) u(t) (e) f5(t) =8e−4t cos(2t) u(t) (f) f6(t) =10te−t sin(2t) u(t)

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?

For f(x)=2x+3 and g(x)=x^2- 8 find (f+g) (x)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)