Answer:
Step-by-step explanation:
Given that at time t, the position of a body moving along the s-axis is sequalsnegative t cubed plus 15 t squared minus 72 t m
i.e. 
Velocity is nothing but s'(t) = derivative of s
and acceleration is s"(t) = derivative of v(t)
a) v(t) =0 when t = 4 or 6
b) 
a(t) =0 when t =5
c) Distance travelled by the body from 0 to 5 would be
i.e. 110 miles (distance cannot be negative)
Answer: 
.
Step-by-step explanation: We are given expression .
And expression is converted in 
.
Now, we need to transform the expression into a single exponent expression using the properties of exponents.
We know, according to the properties of exponents
Applying same rule in given expression, we get
On simplifying exponents, we would get t in exponent.
= .
We are given the equation:
x^2 + 10x + 11 = m + (x-5)^2 - 25
To determine the value of m, assign a value of x and solve for m
if x = 1, the equation becomes
1^2 + 10(1) + 11 = m + (1 -5)^2 - 25
solve for m
m = 31
When m = 31, the equation is true. <span />
