Answer:
The equation of tangent line is
Step-by-step explanation:
We need to find out the equation of tangent line.
Given :- g(6)=−3 and g'(6)= 5
If g(6)=−3
then the point on the line for the required tangent is (6,−3)
If g'(6)= 5
then the slope of the tangent at that point is 45
The tangent line can be specified by the slope-point form of the equation:
which in this case is
subtract both the sides by 3,
Therefore, the equation of tangent line is
41.803 rounded to the nearest whole number is 42
Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
17x=510
x=510/17
Therefore x=30