Question

IV)Place the following statements in correct order.
In convection process:
1.The less dense fluid sinks.
2.when a substance is heated it expands.
3. The warm fluid therefore less dense.
4. when it reaches the top it cools and contracts.
5. The more dense fluid sinks.
6. The cycle of rising and falling is the convection current.

Answer 1

Explanation:

2th

Maths

Application of Derivatives

Tangents and Normals

Find the equation of the ta...

MATHS

EASY

Find the equation of the tangents to the curve y=(x

3

−1)(x−2) at the points where the curve cuts the x-axis.

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ANSWER

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:

2

4

1

6

5

3

Explanation: