Solve the problem.Write an iterated triple integral in the order
for the volume of the tetrahedron cut from the first octant by the plane
.
A.
B.
C.
D.
Answer: D
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Find the reciprocal.
A.
B.
C.
D.
Solve.The orbit of a planet, in a galaxy far, far away, is an ellipse. If the center of the ellipse is at the origin, an approximate equation for the orbit is +
= 1, where x and y are measured in millions of miles. Find the largest possible distance across the ellipse. Round the answer to the nearest million miles.
A. 13,710 million miles B. 117 million miles C. 83 million miles D. 166 million miles
Solve the problem.The price per unit of a product is $p and the number of units of the product is denoted by q. The demand function for this commodity is given by p = - 50. Describe the transformations needed to obtain the graph of this function from the graph of p =
.
A. Stretch vertically by a factor of 20,000, reflect across the x-axis, and shift down 50 units. B. Stretch vertically by a factor of 20,000 and shift 50 units to the right. C. Stretch vertically by a factor of 20,000 and shift down 50 units. D. Shift up 20,000 units and shift 50 units to the right.
The Ross-Simons Company has a monthly advertising budget of $20,000. Their marketing department estimates that if they spend x dollars on newspaper advertising and y dollars on television advertising, then the monthly sales will be given by
?
?
dollars. Determine how much money Ross-Simons should spend on newspaper ads and on television ads each month to maximize its monthly sales.
?
A. $15,000 on newspaper advertisements and $5,000 on television advertisements B. $13,000 on newspaper advertisements and $3,000 on television advertisements C. $18,000 on newspaper advertisements and $8,000 on television advertisements D. $16,000 on newspaper advertisements and $6,000 on television advertisements