Find an equation of the tangent line to the curve at the given point. y = 7x + 9 cos(x), p = (0, 9)

Alright, lets get started.

We have given a curve y, and a point P.



The derivative of the curve is the slope of the tangent line.

We will find the derivative of the given function.







Putting the value as x = 0 because P (0,9)



As sin 0 = 0





The equation of tangent will be : where m is slope



Putting the value of (x,y) as (0,9), we could find the value of c



c = 9

Hence the equation of tangent will be :



Answer

Hope it will help :)

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

0.038

step-by-step explanation: