New York University

Algebra

Matrices & Determinants Solutions

Algebra (1 point) Compute the matrix exponential e^A for the matrix A = -27 -15 50 28 e^A=

Math - Others

Functions Solutions

the t-chart for. X ( x,y) 0 g(x)=2x0-1=-1 (0,-1) 1 gx=2x1-1=1 (1,1) 5 gx=2x5-1=9=3 (5,3)

Math - Others

Basic Math Solutions

Simplify each expression. (3 points each) 4. √90 5. √150 Simplify each expression. (4 points each) 6. √28x³y³z^11 7. √18x^12 y^20 z^7 simplify the expression 8.√(3/7)

Calculus

Vector Calculus Solutions

Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve the triangle(s) that results. Round any side length to two decimal places and any angles to one decimal place. a = 17, c = 34, A = 30°

Calculus

Definite Integrals Solutions

Determine a particular solution for the differential equation dy/dt + 2y = 2/π ₀∫∞ [sin(3ω) - 3ω cos(3ω) / ω²] sin(ωt) dω.

Physics

Friction Solutions

You are moving into a new place, and you rented a U-Haul cargo van to transport your home furniture and different boxes. Moving the boxes from the house to the van is done through a dolly you are using. However, the dolly has broken during a move. There are still several boxes which must now be carried manually from the home to the van. The ramp leading into the mover's van is at a 30° angle to the ground. You are carrying a box weighing 200 N from the house. You are placing the box on the ramp, planning to push it the rest of the way into the van. a) Given the diagram below, use arrows to indicate the directions of the frictional force, the gravitational force and the normal force (perpendicular to the incline) of a box sitting on a ramp. b) You can push the box with a force of 200 N parallel to the ramp, but the box does not move. Determine: i) the components of the weight parallel to and normal to the direction of the ramp. ii) the frictional force.

Algebra

Quadratic equations Solutions

A bicycle wheel is spinning in place. The vertical position of a point on the wheel, in inches, is described by the function f(t)= 16.5 sin(5.2πt) +20. Time t is measured in seconds. 1. What is the meaning of 13.5 in this context? 2. What is the meaning of 5 in this context? 3. What is the meaning of 20 in this context?

Math - Others

Functions Solutions

2) Write an equation for each graph a) f(x) = (3,2) c) f(x) = (3,4) b) f(x) = (-5,3) d) f(x) = (3,2)

Calculus

Indefinite Integration Solutions

Determine whether the given equation is exact. If it is exact, solve. (2xy²-3) dx +(4+2x²y)dy = 0

Calculus

Differential equations Solutions

Determine whether the given equation is exact. If it is exact, solve. (2xy²-3) dx +(4+2x²y)dy=0

Algebra

Quadratic equations Solutions

Set up the initial simplex tableau corresponding to the following linear programming problem. objective maximize P = 20x + 5y subject to 14x + 5y ≥ -17 -9y - 14 ≤ 17x x ≥ 0,0 ≤ y ≤ 6

Algebra

Quadratic equations Solutions

Solve x²=36, where x is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".