Calculus Answers

Write the parametric equations for a line segment passing through A(-5,2) and B(4,15).

Convert the following polar equation to rectangular form and identify the graph: r=2 sin⁡θ-4 cos⁡θ

Convert the following rectangular equation to polar form: 3x+4y=2

Find the rectangular coordinates of P if the polar coordinates are (-2,120°)

Find the polar coordinates of P if the rectangular coordinates are (-1,-2). 0 ≤ θ ≤ 2π

A=BL+12j-8k
B=9l-3k-2k
C=8l+17j-7k
Find:::
1.A×B
2.C×[A×B]
3.D×[ c×(A×B)]
4.A{D×(A×B)}
5.C.D
6.A.B
7.|D|
8.|A×D|
9.|D×B|g
10.(A×B).(C×D)

Find the dimensions of the rectangle of largest area that has its base on the
x-axis and its other two vertices above the x-axis and lying on the parabola
y = 12 - x2

An airplane
ying horizontally at a constant height of 1000 m above a fixed
radar station. At a certain instant the angle of elevation θ at the station is
π/4
radians and decreasing at a rate of 0.1 rad/sec. What is the speed of the
aircraft at this moment.

Find the dimensions of the rectangle of largest area that has its base on the
x-axis and its other two vertices above the x-axis and lying on the parabola
y = 12-x^2

Let C denote the circle whose equation is (x − 5)^2 + y^2 = 25. Notice that the
point (8, −4) lies on the circle C. Find the equation of the line that is tangent
to C at the point (8, −4).