The graph of f is given in the figure to the right. let a(x)equals=integral from 0 to x f left parenthesis t right parenthesis font size decreased by 3 dt∫0xf(t) dt and evaluate a(4), a(8), a(12), and a(14)

Step-by-step explanation:

we are given

Calculation of A(4):

we can plug x=4

Since, this curve is below x-axis

so, the value of integral must be negative

and it is quarter of circle

so, we can find area of quarter circle

radius =4

Calculation of A(8):

we can plug x=8

we can break into two parts

now, we can find area and then combine them

Calculation of A(12):

we can plug x=12

we can break into two parts

now, we can find area and then combine them

Calculation of A(14):

we can plug x=14

we can break into two parts

now, we can find area and then combine them

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

l.jnl.j/n.m,lm,

step-by-step explanation: