Implement a program that requests the user to enter the x and y coordinates (each between -10 and 10) of a dart and computes whether the dart has hit the dartboard, a circle with center (0; 0) and radius 8. If so, string It is in! should be printed on the screen.

>>>
Enter x: 2.5
Enter y: 4
It is in!

In this exercise, find the equation of the tangent line $T$ to the graph of $f$ at the indicated point. Use this linear approximation to complete the table.

Function: $f(x)=x^2$, Point: $(2,4)$

Find a basis for (a) the null space is it is nonzero, (b) the column space, and (c) the row space of the matrix.

$$\begin{bmatrix}-1&&1&&2&&2&&1\\2&&-2&&-1&&-3&&2\\1&&-1&&1&&1&&2\\1&&-1&&4&&8&&3\end{bmatrix}$$

Factor: $8 x^2$ - 10x - 3

Factor the polynomial completely.

$$x^3-16 x$$

Sketch graph of the equation in $3$-space.

$$x=-3$$

If one number is chosen randomly from the integers $1$ through $10$, the probability of getting a number that is odd and prime, by the multiplication rule, is $P\text{(odd)} \cdot P\text{(prime}\space\vert\space\text{odd)} = \frac{5}{10}\cdot\frac{3}{5} = \frac{3}{10}$. Compute the product $P\text{(prime)} \cdot P\text{(odd}\space\vert\space\text{prime)}$, and compare to the product above.

Graph each function with a graphing calculator. Identify the domain and range of the function, and describe the transformation from its parent function. g(x)= -√x

Let X be normally distributed with mean 75 and standard deviation 5.

a. Given that $P(X<65)=P(X>a)$, find the value of a.

b. Given that $P(65<X<a)=0.954$, Find $P(X>a)$.

Interpret the graph of x=1 in the context of 3-space.

A thin flake of mica (n = 1.58) is used to cover one slit of a double-slit interference arrangement. The central point on the viewing screen is now occupied by what had been the seventh bright side fringe (m = 7). If λ = 550 nm, what is the thickness of the mica?

Factor completely. Remember to look first for a common factor and to check by multiplying. If a polynomial is prime, state this.

$$-64 m^2-16 m n-n^2$$

Factor: 10a-6b+12

Write the equation of a function with degree 1 and of a function with degree 2.