Question

A curve is described by the equation \( y=3 x^{2}-5 x+4 \). a) Find the equation of the tangent to this curve at the following points, giving each answer in the form \[ y=m x+c \] i) \( (0,4) \) ii) \( (2,6) \) b) What are the coordinates of the point where these tangents intersect? Give any decimals in your answer to 1 d.p.

          A curve is described by the equation \( y=3 x^{2}-5 x+4 \).
a) Find the equation of the tangent to this curve at the following points, giving each answer in the form
\[
y=m x+c
\]
i) \( (0,4) \)
ii) \( (2,6) \)
b) What are the coordinates of the point where these tangents intersect?
Give any decimals in your answer to 1 d.p.

A curve is described by the equation y=3 x^2-5 x+4.
a) Find the equation of the tangent to this curve at the following points, giving each answer in the form

y=m x+c

i) (0,4)
ii) (2,6)
b) What are the coordinates of the point where these tangents intersect?
Give any decimals in your answer to 1 d.p.

Added by Aaron M.

Calculus and Its Applications

Larry J. Goldstein, David C. Lay, David… 14th Edition

Chapter 1

Instant Answer

Solved by Expert Khushbu Rani

01/30/2023

Step 1

The derivative \( \frac{dy}{dx} = 6x - 5 \). Show more…

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A curve is described by the equation \( y=3 x^{2}-5 x+4 \). a) Find the equation of the tangent to this curve at the following points, giving each answer in the form \[ y=m x+c \] i) \( (0,4) \) ii) \( (2,6) \) b) What are the coordinates of the point where these tangents intersect? Give any decimals in your answer to 1 d.p.