1.7 Integration

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Question 56

The temperature $H$ (in $∘C^{\circ}\text{C}$ ) of a specialized thermal probe is modeled as a function of time $t$ (in seconds, $t > 0$ ), where $H = g (t)$ .

It is known that:

At $t = 9$ , the temperature of the probe is $15∘C15^{\circ}\text{C}$ .
The rate of change of temperature is given by $\dfrac{45}{t^2} + \dfrac{3}{2\sqrt{t}} - 2$

Determine the equation of the tangent to the curve $H = g (t)$ at the point where $t = 9$ . Give your answer in the form $H = m t + c$ , where $m\,$ and $c\,$ are constants.

[4]

Find an expression for $g (t)$ in its simplest form.

[6]

1.7 Integration Questions

A Level
Maths
1.7 Integration

A Level
Maths CCEA
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