



Average gradient: summary and exercises
 The average gradient between two points is:
$$\frac{{y}_{2}{y}_{1}}{{x}_{2}{x}_{1}}$$
 The average gradient of a straightline function is the same over any two intervals on the function
 The average gradient of a parabolic function depends on the interval and is the gradient of a straight line that passes through the points on the interval
 We can extend the concept of average gradient to any function
End of chapter exercises
 An object moves according to the function
$d=2{t}^{2}+1$ , where
$d$ is the distance in metres and
$t$ the time in seconds. Calculate the average speed of the object between 2 and 3 seconds. The speed is the gradient of the function
$d$
 Given:
$f\left(x\right)={x}^{3}6x$ .
Determine the average gradient between the points where
$x=1$ and
$x=4$ .
 Find the average gradient of each of the following functions between the points where
$x=2$ and
$x=3$

$f\left(x\right)={x}^{2}+3$

$f\left(x\right)=\frac{4}{x}+1$

$f\left(x\right)={2}^{x}3$
Questions & Answers
if sinx°=sin@, then @ is  ?
the value of tan15°•tan20°•tan70°•tan75° 
NAVJIT
0.037 than find sin and tan?
cos24/25 then find sin and tan
At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later, the odometer read 22,125. Assume the scale on the odometer is in miles. What is the average speed the car traveled during this trip?
tan(?cosA)=cot(?sinA) then prove cos(A?/4)=1/2?2
tan(pi.cosA)=cot(?sinA) then prove cos(A?/4)=1/2?2
sin x(1+tan x)+cos x(1+cot x) = sec x +cosec
To the nearest whole number, what was the initial population in the culture?
do posible if one line is parallel
The length is one inch more than the width, which is one inch more than the height. The volume is 268.125 cubic inches.
Using Earth’s time of 1 year and mean distance of 93 million miles, find the equation relating ?T??T? and ?a.?
Need to simplify the expresin. 3/7 (x+y)1/7 (x1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
what is nanomaterials and their applications of sensors.
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
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Source:
OpenStax, Siyavula textbooks: grade 10 maths [caps]. OpenStax CNX. Aug 03, 2011 Download for free at http://cnx.org/content/col11306/1.4
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