Math Answers

x = u + t1v + t2w
What conditions on the vectors u, v, w ∈ R3, would create an object that is not a plane?

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).

A particle starts from rest (that is with initial velocity zero) at the point x = 10
and moves along the x-axis with acceleration function a(t) = 12t. Find the
resulting position function x(t).

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).

Sweets are packed into bags with a nominal mass of 75g. Ten bags are picked at random from
the production line and weighed .Their masses, in grams are 65, 67, 45, 89, 45, 36, 86.3, 34.5
Use your calculator to find the mean mass and the standard deviation.

-Find the derivative of f(x) = -4x2 + 11x at x = 10.

-Find the derivative of f(x) = negative 9 divided by x at x = -8.

-Find the derivative of f(x) = 8x + 4 at x = 9.

-Find the derivative of f(x) = 4 divided by x at x = 2.

-The position of an object at time t is given by s(t) = -4 - 2t. Find the instantaneous velocity at t = 6 by finding the derivative.

I have a bag with 5 dk chocolates, 5 white chocolates, and 5 dk chocolates if I take two and eat them what is the probability of getting a dk chocolate the next time

find all of the exact solutions of the equation and then list those solutions which are in the interval [0, 2π)

sin(x)^2 = 3/4