# Posts by Ariza

Total # Posts: 24

economics

economics
What effects will this change have on the exchange rate of the canadian dollar in terms of the us dollar? Good Canadian real estate market sends a signal to American construction companies.

vectors
how do you determine if two vectors are a) Collinear b) orthogonal?

Calculus
Resolve the vector v=[7,9] into rectangular components, one of which is in the direction of u=[6,2].

Vectors
Determine a unit vector that is orthogonal to both u=[3,-4, 1] and v=[2,3,-4].

Vectors
An airplane takes off at a ground velocity of 200 km/h toward the east, climbing at an angle of 14 degrees. A 20-km/h wind is blowing from the north. Determine the resultant air and ground velocities and their magnitudes.

Calculus
Given vectors u= (3, -4, 1) and v= (2, 1, -5) Find: a) u x v b)|u x v|

A boat heads 15 degrees west of north with a water speed of 3m/s. Determine its velocity relative to the ground when there is a 2m/s current from 40 degrees east of north. How long does it take to cross the river which is 800 m wide? Where does the boat land on the other side?

Calculus
Prove each property using Cartesian vectors: A) (u +v) + w = u + (v + w)

A boat crosses a river and arrives at a point on the opposite bank directly across from its starting position. The boat travels at 4 m/s and the current is 2m/s. If the river is 600 m wide in what direction must the boat steer and how long will it take to cross?

Calculus
A pilot wishes to reach an airport 350 Km due east from his present position. The wind is blowing from N25degreesE with a speed of 80 Km/h and the planes airspeed is 400 Km/h. What ground speed and what heading should the pilot steer to reach the airport? How many minutes will...

Calculus
Two forces, F1 and F2 act on an object and the angle between them is 60 degrees. Determine the magnitude and the direction of the resultant force FR relative to F1 if F1= 50 N and F2= 30 N.

Calculus
A force of 200 N is resolved into two vector components of 150 N and 80 N. Are these rectangular vector components? Justify your response. If they are not, determine the directions of the components.

Calculus
An airplane is flying at 550 km/h on a heading of 080 degrees: The wind is blowing at 60 km/h from a bearing of 120 degrees. Find the ground velocity of the airplane.

Calculus
Determine the resultant of the vector sum: 10 N at 045 degrees and then 8N at 068 degrees.

Calculus
Max / min points of: Y=5^(2x) * e^(3x^2)

Calculus
what is the second derivative of: Y= 50/ (1 + 4e^ -.1t)

Prove that cscx / cosx = tanx + cotx

math
The London Eye is a large ferris wheel. Each sealed and air-conditioned passenger capsule holds about 25 passengers. The diameter of the wheel is 135 m, and the wheel takes about half an hour to complete one revolution. a) Determine the exact angle, in radians, that a ...

Prove that 2sinxsiny = cos(x-y) - cos(x+y) Prove that sin2x + sin2y = 2sin(x+y)cos(x-y)