66 minutes is the correct answer
Answer:
B) Y-intercept: (0,3), X-intercept: (4,0)
Step-by-step explanation:
x = 0 12y = 36-9x
12y = 36
y = 3 y intercept: (0,3)
y = 0 9x = 36 x = 4
x intercept: (4,0)
Use PEMDAS.
Compute in order of parentheses, exponents, multiplication, division, addition, subtraction.
Answer:
Step-by-step explanation:
given is a differntial equation in parametric form as
We can find dy/dx by dividing y' by x'
(By separating the variables and integrating)
C is arbitrary constant
When x=-2, y =-2
Substitute to get
So solutoin is
is the solution
A) The T-shirt will be at its maximum height when the velocity is at zero, because its velocity will be at zero when it reaches the top of its arc.
You have the position function, y= -16t^2 + 72t + 5, so the velocity function is its derivative, v= -32t + 72.
Set that equal to zero, 0= -32t + 72, and solve for t.
0= -32t + 72
32t = 72
t = <u>9/4</u> or <u>2.25 seconds</u>.
b) Plug what you found in part a) back into your position equation.
-16(2.25)^2 + 72(2.25) + 5 = -81 + 162 + 5 = <u>86 feet
</u>
c) The t-shirt's lowest point is 5 feet above the ground (that's the '+ 5' in the position equation) and its highest point is 86 feet, which you found in part b). So the range is <u>[5,86]</u>
