Question

find the equation of tangent to the
curve where it cuts y-axis. The curve
is
y = x² - 4​

Answer 1

Step-by-step explanation:

Equation of curve : y=(x

3

−1)(x−2)⇒y=x

4

−2x

3

−x+2

Slope of tangent=

dx

dy

=

dx

d

(x

4

−2x

3

−x+2)=4x

3

−6x

2

−1

At x-axis,y=0∴(x

3

−1)(x−2)=0⇒x=1,2

When x=1, slope of tangent =4×1

3

−6×1

2

−1=−3

thus equation of tangent is y−0=−3(x−1)⇒3x+y−3=0

When x=2, slope of tangent =4×2

3

−6×2

2

−1=7

thus equation of tangent is y−0=7(x−2)⇒7x−y−14=0

Answer 2

Answer:

Photosynthesis, the process by

which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.