Answer:
a) mt = -2
b) y=2-2x
Step-by-step explanation:
We have ⇒
and we must find
a) The slope of the tangent line to the curve at the point (1,0)
b) The equation of the tangent line in part (a)
a) with the point (1,0) then f'(x)
the slope (mt) in x=1 is
f'(1)= , m t= -2
b) mt=-2 at the point (1,0), knowing that the pending point model is:
, we solve y-0 = -2(x-1) ⇒ y=-2x+2
Answer:
22.5 kilometers
Step-by-step explanation:
we know that
The scale drawing is
That means
1 unit on a map represent 250,000 units in the actual
or
1 cm on a map represent 250,000 cm in the actual
or
1 cm on a map represent 2,500 m in the actual
or
1 cm on a map represent 2,5 km in the actual
therefore
using proportion
Find out how much represent 9 cm apart on the map
Answer:
Decrease in temperature = 4.6714°C
Step-by-step explanation:
We know that the formula fro deflection is:
δ = PL/AE + LαΔT
As deflection is equal to zero in this case, the formula becomes
ΔT = -P/αAE -------------- equation (1)
Now,
we see that only vertical force acting is weight
W = mg = 100*9.81
W = 981N = ∑ where 1N = 1kgm/s²
Now,
for horizontal forces
As we know that, Sum of all horizontal forces = 0
P - μN = 0
P - μW = 0
P = μW
P = 0.6 * 981
P = 588.8N or 589N
Now we need to calculate the area
area = width * thickness = 20 * 3
area = 60 mm²
Now by substituting all these values in equation 1, wee get
ΔT = -P/αAE = - 588.6/(20*10⁻⁶*60*10⁻⁶*105*10⁹)
ΔT = - 4.6714°C (negative sign indicates decrease)