Other Math Answers

Simplify the following complex number, without changing the polar form and leave your

answer in polar form

(2∠π/3)^4((3∠(3π/2))/(4∠((π/6))

What geometrical shape can not be used to make a pure tessellation?

Using logic to draw conclusions based on accepted statements is called ___?

• Calculate the range variance and standard deviation for the following data X 30_39 40-49 50_59 60_69 70_79 80_89 / F 8 10 16 14 10 12

In Mendel’s genetic experiments many characteristics of the plants were quantified, such as their height (tall or short), flower position (axial or terminal), and seed color (colored or white). Suppose 100 plants are measured, and 35 are tall with axial flowers and colored seeds. Further, suppose a total of 25 plants have white seeds, 4 of them being short and 6 having terminal flowers. There are no short plants with terminal flowers, and the total number of short plants is 25. Construct a venn diagram with circles illustrating the three characteristics short, terminal, and white. Indicate the number of plants in each region os the diagram.

Let f: R->R and g: R->R be defined respectively as follows:

f: x->9-× and g: x->3x+1

Find the domain and range of f and g.

Find f^-1 and g^-1. Using f^-1 and g^-1 you found,

Show that f^-1°g^-1=(g°f)^-1

Let f(x) =R->R and g(x): R->R be defined respectively as follows:

f: x->9-x², g: x->1/3x+5 find the domain and range of f and g. Find also f^-1 and g^-1.

(a)Lim (x⁴-3x²+2x+4)

x->2

(b) lim x²-1/x²-1

x->1

(c) lim 1/x²-4

x->0

(d) lim sin5x/sin7x

x->0

(e) lim 1/x²-4

x->2

(f) lim 1/x²-4

x->2

(g) lim x²-9/x-9

x->3

(h) lim sin2x+sin3x/x

x->0

(i) lim x^½-2/x-4

x->4

(j) lim 3x²+4x+2/6x⁶+3x²+8

x->...

Write the first four items of a Maclaurin series for f(x)=e^x and use the value x=1 to calculate a value for e^x from the first four terms.

With the help of an example, explain the term "spatial thinking".