The line of the equation y=x+1 and the parabola of equation y=x^2-1 intersect at two points, P and Q. What are the coordinates of the midpoint M of the segment PQ?
The line of the equation y=x+1 and the parabola of equation y=x^2-1 intersect at two points, P and Q. What are the coordinates of the midpoint M of the segment PQ?
Write vector v in the i,j form, given llvll=7, and the angle that v makes with the positive x-axis is θ= 5pie/3. Show both trig and algebraic form.
Given v=7i-3j and w=-3.5i-2j i.) Find vector a=v+2w (algebraically) ii.) Graph each vector v,w, and a iii.) Find the magnitude and the direction angle...
Let v=(-1,4) and w=(3,-2) Find: i.) llvll ii.) 2v-3w iii.) ll2v-3wll iv.) The unit vector u, in the direction of v Do not graph
The vector V has the initial point P=(-1,4) and Q=(2,-3). Write V as a position vector.
This exercise uses the radioactive decay model.
This exercise uses the radioactive decay model.
This exercise uses the radioactive decay model.
One gear wheel turns another, the teeth being on the rims. The wheels have 10 cm and 30 cm radii, and the smaller wheel rotates at 30rpm. Find the angular speed of the larger wheel, in...
Use algebra to prove the identity: cos(x)/1-sin(x) − tan(x) = 1 cos(x)
Solve sin(2θ) = cos(θ) for 0 ≤ θ < 2π (Hint: there will be a total of 4 solutions!)
Find the exact value of: cos(165?) − cos(75?)
1) (cscx + cotx) / (tanx + sinx) = cotxcscx 2) (1/secx) -secx = -sinx 3) (1-tan^2x / 1-cot^2x) = -tan^2x
By applying implicit differentiation, find y'(x) below. y√(x^2+y^2 )=15
Find the area of the region between two curves below. y=2x^2 y=x^2+4
Find the area of the region between two curves below. y=x y=x^2−2 i have no idea how to do this
A quilt consists of 12 identical squares with 4 rows of 3 squares each. Each square is to have a regular octagon inscribed in a circle. Each side of the octagon is to be 8 in long. Find...
The sales, s, of a product have declined in recent years. there were 202 million sold in 1984 and 1.4 million sold in 1994. Assume the sales are decreasing according to the exponential decay model,...
Given: g(x)=√(-2x+6) and h(x)=2x2-3x+a a) Evaluate h(g(2)) b) if f(x)=g(x), x≤1 f(1) can only exist if...
An 8 horsepower pump can fill a tank in 8 hours. A smaller, 3 horsepower pump fills the same tank in 12 hours. The pumps are used together to begin filling the tank. After four hours, the 8 horsepower...