05/20/13

Find the area of the parallelogram?

Find the area of the parallelogram spanned by the vectors <1, 0, -1> and <-2, 2, 0>. I have troubles with dot products.

05/20/13

Find the work done by the force?

A constant force F=<-1, 2, -5> acts on a particle as it moves from A(2, 4, 1) to B(-2, 1, 3). Find the work done by the force. I have trouble for finding the dot products.

05/19/13

How many students only created a dessert?

Each student in a cooking class of 50 students is assigned to create a dessert, an appetizer, or both. The total number of students creating an appetizer is seven more than the number of students... more

05/19/13

What is the area of rectangle B?

Right triangle A has base b, height h, and area x. Rectangle B has length 2b and width 2h. What is the area of rectangle B in terms of x? a) 2x b) 4x c) 6x d) 7x e) 8x

05/18/13

Please evaluate this?

Evaluate (d^100/(dx^95 dy^2 dx^3))(ye^x(x)+cos(x)).

05/18/13

Find a potential function for the vector field?

Find a potential function for the vector field f(x, y)=2x/y i+(1-x^2)/y^2 j.

05/15/13

What was the ball's initial speed?

A spring gun at ground level fires a golf ball at an angle of 45 degrees. The ball lands 10 m away. a) What was the ball's initial speed? b) For the same initial speed, find the two firing angles... more

05/13/13

Find an equation of the plane?

Find an equation of the plane that passes through the point P(-1, 2, 1) and contains the line of intersection of the planes x+y-z=2 and 2x-y+3z=1.

05/11/13

What's the orbital period of the satellite?

A satellite circles planet X in an orbit having a radius of 10^8 m. If the radius of planet X is 10^7 m and the free fall acceleration on the surface of X is 20 m/s^2, what's the orbital period of... more

05/11/13

Find the arc length of the curve?

Find the arc length of the curve defined by r(t)=(t, sqrt(6)/2*t^2, t^3), -1<=t<=1. r'(t)=<1, sqrt(6)t, 3t^2> sqrt(1+6t^2+9t^4) But how do I simplify this?

05/11/13

Find its position at t=1.

A particle starts at the origin with initial velocity i+j-k. Its acceleration is a(t)=ti+j+tk. Find its position at t=1.

05/11/13

Find the speed of the particle?

Find the speed of the particle with position function r(t)=e^3t i+e^-3t j+te^3t k when t=0.

05/11/13

Find the normal vector to the plane?

Find the normal vector to the plane 3x+2y+6z=6.

05/11/13

Find dz/dy at (1, ln 2, ln 3) if z(x, y)?

Find dz/dy at (1, ln 2, ln 3) if z(x, y) is defined by the equation xe^y+ye^z+2lnx-2-3ln2=0.

05/06/13

What is the rate of change of temperature?

Suppose the temperature in degrees Celsius at a point (x, y) is described by a function T(x, y) satisfying Tx(2, 7)=4, Ty(2, 7)=2. The position of a crawling ant after t seconds is given by... more

05/06/13

Find the slope of the tangent line at theta=pi/2?

Find the slope of the tangent line at theta=pi/2 for the curve in the xy plane with the polar equation r=theta.

Find the perpendicular distance between the parallel planes?

Find the perpendicular distance between the parallel planes z+1=x+2y and 3x+6y-3z=4.

05/05/13

Find the area of the triangle?

Find the area of the triangle with vertices A(2, 1), B(5, 3), and C(6, 4).

05/04/13

Find the mass of the plate with density?

Find the mass of the plate with density p(x, y)=ky, where k is a positive constant and R is the region bounded by y=x^2 and x=y^2.

05/04/13

Evaluate the double integral?

Evaluate the double integral from 0 to 1 and x^2 to 1 of (x^3)(sin(y^3)) dy dx by reversing the order of integration. I know how to solve the integral, I just don't know how to set up the new... more

05/02/13

Find the maximal value of f(x, y)?

Find the maximal value of f(x, y)=3y+4x on the circle x^2+y^2=1.

05/01/13

Find (d^2*z)/(dx^2)+(d^2*z)/(dy^2).

z=(e^x)(cos(y)). Find (d^2*z)/(dx^2)+(d^2*z)/(dy^2).

04/29/13

Find the z-intercept of the equation?

Let z=(e^x)(cos(xy)). Find the z-intercept of the equation of the tangent plane to the surface at (1, pi/2, 0).

04/29/13

Find a parametric representation of the surface?

Find a parametric representation of the surface z=3x+4y.

04/28/13

Let z=(x^2+y^2)^(3/2).

Let z=(x^2+y^2)^(3/2). What is (d^2*z)/(dx*dy) at (sqrt(2), sqrt(2))? dz/dy=3y(x^2+y^2)^(1/2) d/dx=3x(x^2+y^2)^(1/2) What should I do next?

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