Step-by-step explanation:
An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). ... The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.
Answer:
<em>Perimeter = 20.6cm to 1dp = 20.60cm to 2dp</em>
<em>Area = Base = 8.6/2 = 4.3 x 4.069 = 17.5cm^2</em>
<em>Height is found 4.07 cos( 54.47deg) 5/8.6 = 4.069cm</em>
Step-by-step explanation:
<em>Right angle side triangle, sides </em>
<em>= MN =8.6cm </em>
<em>= NP=5cm </em>
<em>= PM=7cm </em>
<em>= 25sq + 49sq = 74sq</em>
<em>MN^2 =√74 = 8.60232526704 = 8.6cm</em>
<em>P = 8.6 + 5 + 7 = 20.6cm </em>
Pythagorean theorem is

and using that sin is opposite/hypotenuse, you can find the third side of the triangle.

now you know adjacent is 60, so cos=60/61
Answer:
-12x - 4
Step-by-step explanation:
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