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A cup of coffee is cooling down in a room following the equation x = 15 + 70e^(-t/40). Find the rate at which the temperature is decreasing when the coffee cools to 60°C.

First, we need to find the value of t when x = 6p°C. We are told that after t minutes the temperature, x, will be 60°C; so we can insert 60 into the equation for x: 

60 = 15 + 70e^(-t/40)...

NA
Answered by Nathan A. Maths tutor
12065 Views

What are the events in the cardiac cycle?

The cardiac cycle is the series of events that leads to blood being pumped to the lungs and around the body.

The cycle begins with the SAN (sino-atrial node). This is the hearts 'pacemake...

TC
Answered by Thomas C. Biology tutor
8911 Views

Find the value of 2∫1 (6x+1) / (6x2-7x+2) dx, expressing your answer in the form mln(2) + nln(3), where m and n are integers.

This fraction can’t be integrated easily, but if we split it using partial fractions, these will be easier to integrate. To do this, we need to factoise the denominator, as this will follow the method of ...

JM
Answered by Jed M. Maths tutor
13851 Views

Can you differentiate the following function using two methods:- y = e^(2x+1)

The first method to differentiate this fuction is the basic chain rule method. differentiate 2x+1 and add this to the front of the function. This gives us 2e^(2x+1). the other method to differentiate this...

RN
Answered by Rajenth N. Maths tutor
5204 Views

What is the effect of a catalyst in an equilibrium process?

A catalyst provides an alternative pathway for a reaction to take place and therefore helping the reaction to take place at a lower activation energy. In an equilibrium process, a catalyst has no effect o...

RN
Answered by Rajenth N. Chemistry tutor
25741 Views

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