Answer:
s(2) = 7.75
Step-by-step explanation:
given the velocity v(t) = t^3
we can find the position s(t) by simply integrating v(t) and using the boundary conditions s(1)=2

we know throught s(1) = 2, that at t=1, s =2. we can use this to find the value of the constant c.

Now we can use this value of t to formulate the position function s(t):

this is the position at time t.
to find the position at t=2



the position of the particle at time, t =2 is s(2) = 7.75
Answer:
B
Step-by-step explanation:
f(0) - f(-3) = area under f'(x) from x=0 to x=3.
We can find the area under f'(x) in this interval by finding the area of the triangle formed by the line.
A = 1/2 b h
A = 1/2 (3) (3)
A = 4.5
f(0) - f(-3) = 4.5
Since f(0) = 7:
7 - f(-3) = 4.5
f(-3) = 7 - 4.5
f(-3) = 2.5
1 roll of tape: 1.28/2=$0.64
2 notepads: .87/3=.29x2=$0.58
2 highlighters: 1.59x2=$3.18
2 pens: $1.98
.64+.58+3.18+1.98=$6.38
Answer:
m<2 = 134°
m<3 = 46°
m<4 = 134°
Step-by-step explanation:
Because of vertical angles theorem, m<1 is congruent to m<3.
to find the m<2 and m<4 you need to subtract 46 from 180.
because m<2 and m<1 are adjacent and on a transversal line, they are equal to 180°
Hope this helps!❤
X-6+27 a 38 b 21 c 19 d 33