Consider the following initial value problem for a spring-mass-dashpot system: 4x" + 16x' + kx = 0, x(0) = -1.5, x'(0) = 8
a) Find the value of the spring constant k that makes the spring critically damped.
b) If k=116, write the solution x(t) in the form Ce -pt cos( w1t_a1).

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

answer: he is 272195

step-by-step explanation: all you have to do is multiple 3535 and 77 and it equals 272195

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105