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 :)

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.