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Use a triple integral and an appropriate change of coordinates to calculate the volume of the region bounded by the xy -plane, the surface z = x^2 + y^2 and the cylinder over x^2/9 + y^2/4 = 1 .
Find the dimensions of the rectangle of the largest area that has its base on the x axis and its other two vertices above the x axis and lying on the parabola y=8-x^2.
FInd the probability that exactly 2 will be defective
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
determine the sequence convergence or divergence if convergence find the limit ?
Find the equation of the tangent line to the graph of the function f(x) = x + 3^-2x - 2sin(x) at the point with x-coordinate 0.
Using set theory to solve for the probability. A survey of a group of military personnel revealed the following information
graph the region of feasible solutions and locate the corner points.
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
cursion boat is proportional to the cube of its speed and is $40 per hour when the speed is 10 mph. Expenses are $270 per hour. Find the most economical speed at which to make a trip of any specified distance.
Solve equations and systems of equations in two variables, formulate real-world problems in terms of linear equations and solve these systems by several commonly applied methods.
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