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Find the possible failures in the column picture and the row picture, and match them up
Explain why a different slack variable must be used for each constraint when converting constraints to linear equations.
Find the partial derivatives with respect to x, y, and z of the following functions: (a) f(x, y, z) = ax2 + bxy + cy2, (b) g(x, y, z) = sin(axyz2).
A satellite is in an elliptical orbit around the Earth. Its distance r (in miles) from the center of the Earth is given bt r= 4995/ 1 + 0.12cos?.
Sunrise Baking Company markets dough nuts through a chain of food stores. It has been experiencing overproduction and underproduction.
Write the equation for the surface generated by revolving the curve x^2 - 2y^2 = 1 about the y-axis. Describe the surface.
A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
At the instant when the radius of the cone is 2 inches, its volume is 8pi cubic inches and the radius is increasing at (1/3) inches per second.
If the bird wants that the temperature around it decreases as fast as possible, what velocity (same speed) should it have?
Find the equation of the tangent to the curve y=2x-x2 that is perpendicular to the line x+4y-8=0.
Determine the slope of the curve 2x3+2y3-9xy=0 at the point (1,2). Find dy for the relation 4x2+y2=16 using each of the following methods.
Determine the slope of the curve 8x3+3xy+8y3=19 at the point (1,1). Determine the equation of the tangent to the given curve at the given point.
Find an equation to the tangent at the given point, using the Product Rule and then the Quotient Rule when determining the derivative.
Find the volume of the solid of revolution obtained by rotating the region bounded by y = cos x to the power 2, x=0, x = square root of (pi/2) .
Calculate how many bacteria exist at t=10 hours, as well as the population’s growth rate at that time.
A light is on the ground, 15 m from a wall. A woman, 1.6 m tall, walks away from the light and towards the wall at o.5 m/s.
The marketing research department for a computer company used a large city to test market their new product.
The sound at a rock concert is measured at 125dB. How many times louder is the noise at the construction site than that at the rock concert?
A rocket is fired into the air and its height in metres at any given time t seconds can be calculated by h(t)=225+49t-0.98t2.
When the machine is t years old, the rate at which its value is changing is -960e^-t/5 dollars per year.
Assuming that the snowplow clears snow from the road at a constant rate (in cubic feet per hour), at what time did it start to snow?
A stone is dropped from rest at an initial height h above the surface of the Earth. Show that the speed with which it strikes the ground is v = v2gh.
Solve the following linear system for x using Cramer's rule. Show work. x + 2y - 3z = -22
Using a Linear Programming Model Manually and Graphically.Pretend that you have been hired as a business consultant,
Choose the one alternative that best completes the statement or answers the question.In linear programming, sensitivity analysis is associated with