RoshertRicol
RoshertRicol RoshertRicol
  • 15-08-2016
  • Mathematics
contestada

Use linear Approximation to approximate e^.01

Respuesta :

Hussain514 Hussain514
  • 18-08-2016
Suppose that:
let f(x) = e^x 

Suppose:
 a = 0 
Now we are finding f(a):
f(a) = f(0) = 1 

f '(x) = e^x 
Now we are finding 
f '(a):
f '(a) = f '(0) = 1 
Putting the formula:
L(x) = f(a) + f '(a)( x - a) 

L(e^0.01) = 1 + 1(0.01 - 0) 

= 1.01 is the answer

Answer Link

Otras preguntas

What are four physical changes a candle undergoes when a part of it is broken off?
How to solve this???
A sample of nitrogen gas, occupies a volume of 400ml at 2 atm pressure. What pressure must be applied to compare the gas to a volume of 200ml at constant temper
hello can anyone help me on the next four math questions please ? 1)5(x+2) 2) 4(2x+3) 3) 8(x+2) 4) 5(7x+4) thanks !!!
Work out the volume of a cuboid 6cm by 4cm by 2.5cm
Australian vegetation is dominated by various species of Acacia and
Q: Use the bold letters from the statements on page 26. Unscramble to find a phrase describing what is protected by the Bill of Rights. There are 18 letters th
is 593 ÷ 6 a little less than 10 a little less than 100 or a little more than 100? explain
If a barrel is 1/5 full and holds 16 litres how many litres will it hold when 1/2 full
what is the true solution to 2 In 4x=2 In 8