Answer:
f'(x) = 5 x<4
= 2x 4<x<6
= 4 x>6
Domain is all real numbers except 4 and 6
Step-by-step explanation:
We need to find the derivative of the piecewise function
f'(x) = 5 x<4
= 2x 4≤x≤6
= 4 x>6
Is the function continuous at 4
f(4-) = 5(4) - 6 = 20-6 = 14
f(4+) = 4^2 -2 = 16-2 = 14
this is continuous, so there is no problem with the continuity here
Is the function continuous at
f(6-) = 6^2 -2 = 36-2 = 34
f(6+) = 4(6)+10 = 24+10 = 34
this is continuous, so there is no problem with the continuity here
Now we need to check the derivatives
f'(4-) = 5
f'(4+) = 8
This is not continuous, so we get a piecewise definition for the derivative excluding 4
f'(6-) =12
f'(6+) =4
This is not continuous, so we get a piecewise definition for the derivative excluding 6
Answer:
<em>The speeds are 877 km/h and 947 km/h.</em>
Step-by-step explanation:
The slower plane travels at x km/h. The faster plane travels at (x + 70) km/h. The speed of separation is the sum of the speeds, (2x + 70) km/h.
They are 5472 km after 3 hours of travel.
speed = distance/time
2x + 70 = 5472/3
2x + 70 = 1824
2x = 1754
x = 877
The slower plane travels at 877 km/h.
x + 70 = 877 + 70 = 947
The faster plane travels at 947 km/h.
Answer:
the lateral area of cone is L=A﹣πr2
the surface area of cone is
Supplementary angles are those whose sum is equal to 180° while those that are complementary are those whose sum is equal to 90°. Since, we are given that bre is the complement of itself, its measure can be calculated through the equation,
m∠bre + m∠bre = 90°
m∠bre = 45°
Then, for the relationship of bre and tap, we have the equation,
m∠bre + m∠tap = 180°
45° + m∠tap = 180°
m∠tap = 135°
The measure of tap is equal to 135°.
Hi there
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
So we need to find the monthly payment pmt
Pmt=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 205000
R interest rate 0.056
K compounded monthly 12
N time 30
PMT=205,000÷((1−(1+0.056÷12)^(
−12×30))÷(0.056÷12))
=1,176.86...answer
Hope it helps
