31
just substitute -8 for all x
process here:
f(x) = -3x + 7
f(-8)= -3(-8) + 7
Relative extrema occur where the derivative is zero (at least for your polynomial function).
So taking the derivative we get
<span>20<span>x3</span>−3<span>x2</span>+6=0
</span><span>
This is a 3rd degree equation, now if we are working with complex numbers this equation is guaranteed to have 3 solutions by the fundamental theorem of algebra. But the number of real roots are 1 which can be found out by using Descartes' rule of signs. So the maximum number of relative extrema are 1.</span>
Given:
Irregular Shape:
Semi-circle and rectangle:
Area of a rectangle = l * w
Area of a semi-circle = (π r²)/2
Area of rectangle = 8 cm * 5 cm = 40cm²
Area of a semi-circle = (3.14 (4²))/2 = (3.14*16)/2 = 50.24/2 = 25.12cm²
4² is taken from diameter of 8cm divided by 2 to get the radius.
Total area = 40 cm² + 25.12 cm² = 65.12 cm²
The surface area is made up of six sides and the area is then just the sum of the areas of the six sides...
A=2xy+2xz+2yz
A=2(xy+xz+yz) in this case:
A=2(5*4.5+5*3.5+4.5*3.5)
A=2(22.5+17.5+15.75)
A=2(55.75)
A=111.5 in^2
I would say that statistics is a mathematical subject that allows you to explain scientific data. In a similar fashion, you could use mathematics to explain the various idea in physics as you can use statistics to interpret the results of experiments and the data collected.
Hope that helped!