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The total cost of producing x radio sets per day is $ ( 1/4 x^2 + 35x + 25 ) and the price per set is at which they may be sold is $ ( 50 - 1/2x )
Hyperspheres : Volume of a Sphere with Radius 'r'. Finding formulas for the volume enclosed by a hypersphere in n-dimensional space.
A piece of paper for a poster contains 1000 cm^2. The margins at the top and bottom are 9cm and the side margins are 6 cm
Use the given theorem to show that each of these functions is differentiable in the indicated domain of definition
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time.
Find the directional derivative of the function at a given point P in the direction of the vector V:
Given the function M(t) = 2t3 - 3t2 - 36t, find the critical values and determine, using both the second derivative test and a sign chart
Prove the trigonometric identity.Provide reasons (identities, operations, etc.) for each step in the proof
Use implicit differentiation to find the slope of the curve : x^3 - 3xy + y^4 = 5x at (0.5, -0.977). Find the equation of the tangent line at this point
Trigonometric Equations : Solution and Area of Triangle.Find all the solutions of the equation 3sin20(degrees) = cos2x(degrees) in the range 0(degrees)
Let F(u,v) be a function of two variables. Find f '(x) for each of the following. Use F_u and F_v for F_u and F_v
What are the differences in the steps of graphing a sine or cosine curve vs. a tangent curve? Please provide answer in written form not graphical form.
Find (partial z)/(partial u)( and ) (partial z)/(partial v) using the chain rule. Assume the variables are restricted to domains
Green's Functions, Wave Equation, Heaviside Function and Neumann Boundary Condition
Use the limit definition to find f'(x) for f(x) = v(2x+1). Show all work
An Equilibrium and Weight Problem. Two builders carry a sheet of drywall up a ramp. The drywall is very thin and is 3.20m long and 2.20m wide.
Consider the wave equation.for some twice differentiable function h, show that (1) becomes
Explain the quotient rule for exponents and give an example.
A business owner is comparing the costs of purchasing inventory and the profit from the sale of the product. The relationship proves to be linear
An isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph of f, where f(x)=12-x^2 for x is greater than or equal to 0
Determine the interval(s) where the function is increasing and the interval(s) where it is decreasing.
A ladder 10 m long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at 2 m/s.
Evaluate the Integral.Evaluate (be careful if n=m)
You run a small furniture business. You sign a deal with a customer to deliver up to 400 chairs, the exact number to be determined by the customer later.
Trig Identifies and Equations: Tangent Sum Formulas and Tire Circumferences.Two cars with new tires are driven at an average speed of 60 mph for a test drive