Parametric equations and a value for the parameter t are given x = (60 cos 30^{circ})t, y = 5 + (60 sin 30^{circ})t - 16t2, t = 2. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.

What is the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1)?

How to expand and simplify ${\displaystyle 2(3x+4)-3(4x-5)}$?

Find an equation equivalent to $x^2-y^2=4$ in polar coordinates.

How to graph ${\displaystyle r=5\sin \theta }$?

How to find the length of a curve in calculus?

When two straight lines are parallel their slopes are equal.
A)True;
B)False

Integration of 1/sinx-sin2x dx

Converting percentage into a decimal. $8.5\%$

Arrange the following in the correct order of increasing density.
Air
Oil
Water
Brick

What is the exact length of the spiraling polar curve ${\displaystyle r=5e^{2\theta }}$ from 0 to ${\displaystyle 2\pi }$?

What is ${\displaystyle \frac{\sqrt{7}}{\sqrt{11}}}$ in simplest radical form?

What is the slope of the tangent line of ${\displaystyle r=-2\sin \left(3\theta \right)-12\cos \left(\frac{\theta }{2}\right)}$ at ${\displaystyle \theta =\frac{-\pi }{3}}$?

How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3?

Use the summation formulas to rewrite the expression ${\displaystyle \Sigma \frac{2i+1}{n^2}}$ as i=1 to n without the summation notation and then use the result to find the sum for n=10, 100, 1000, and 10000.

How to calculate the right hand and left hand riemann sum using 4 sub intervals of f(x)= 3x on the interval [1,5]?