Question

Let f(x) = x² and g(x) = x²-6x + 15. There is one line with positive slope that is tangent to both of the parabolas y = f(x) and y = g(x) simultaneously. y=g(x)/ y=f(x)/ Find the equation of the line. Hint: What is the slope of the tangent to f(x) at x = x1 ? What is the slope of the tangent to g(x) at X2? x= y =

Name: let fx x2 and gx x2 6x 15 there is one line with positive slope that is tangent to both of the parabolas y fx and y gx simultaneously ygx yfx find the equation of the line hint what is the s 27038
Uploaded: 2022-07-15T04:35:08-08:00
Duration: 1 min 17 s
Channel: Madhur L
Description: let fx x2 and gx x2 6x 15 there is one line with positive slope that is tangent to both of the parabolas y fx and y gx simultaneously ygx yfx find the equation of the line hint what is the s 27038

          Let f(x) = x² and g(x) = x²-6x + 15. There is one line with positive slope that is tangent to both of
the parabolas y = f(x) and y = g(x) simultaneously.
y=g(x)/
y=f(x)/
Find the equation of the line.
Hint: What is the slope of the tangent to f(x) at x = x1 ? What is the slope of the tangent to g(x) at
X2?
x=
y =

let fx x2 and gx x2 6x 15 there is one line with positive slope that is tangent to both of the parabolas y fx and y gx simultaneously ygx yfx find the equation of the line hint what is the s 27038

Added by Heather L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/15/2022

Step 1

$$f'(x) = 2x$$ $$g'(x) = 2x - 6$$ Show more…

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Let f(x) = x² and g(x) = x²-6x + 15. There is one line with positive slope that is tangent to both of the parabolas y = f(x) and y = g(x) simultaneously. y=g(x)/ y=f(x)/ Find the equation of the line. Hint: What is the slope of the tangent to f(x) at x = x1 ? What is the slope of the tangent to g(x) at X2? x= y =