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Intersection of surfaces
449446 Intersection of surfaces How do you find the equation of the curve of intersection of the surfaces
z = x^2 and x^2 + y^2 =1?
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At what points does the line y
98871 Line Intersection Problem Let L whose be a straight line in the xy-plane whose equation is of the form
y - 8 = m(x - 2).
(a) Determine all the points in the xy-plane where the line L intersects the curve y = 2x^2 .
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find the intersection point
First, we find the intersection point between the line and the curve in the first quadrant. Then we have .
Second, we find the intersection point between the line and the curve . Then we have and .
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Effects of Changes in Nominal Money Supply and Price Levels
An increase in government purchases shifts the IS curve up and to the right (IS1 to IS2). At the price level, P1, the aggregate quantity of output demanded increases (Y1 to Y2), as shown by the shift of the IS/LM intersection.
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Find the length of curve by integration, quadratic equation
458343 Find the length of curve by integration, quadratic equation Consider that two particles are traveling the paths of the following functions:
f(x)=3/4x^2-x+1
g(x)=-x^2+2x+3
If each particle is to begin at one point of intersection at the
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Aggregate Supply/Aggregate Demand diagram
Another could be to shift the AS curve to the left so that the intersection with AD lies to the left of RGDP@ Full Employment. This is shown by the green line.
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Vector analysis and Stroke's theorem
10564 Vector analysis and Stroke's theorem Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0, traced anticlockwise viewed from the side
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Counterclockwise circulation and outward flux
Green's theorem states that:
Here,
For the intersection points if y = x2 and y = x,
We solve x = x2, which gives x = 0, 1.
At x = 0, y = 0; at x = 1, y = 1
Therefore, the two points of intersection are (0, 0), and (1, 1).
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Find the area bounded between two curves. {(x,y): Y^2 ≤ 4x, 4x^2 + 4y^2 ≤9}
(y of upper curve-y of lower curve)dx
Here we have to find the area bounded between two curves. So the limits of integration is the points of intersection of the parabola and the circle.
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Profit Maximizing Price in Market Structure
Therefore, the profit maximizing price will be $6 and profit maximizing quantity will be
150 and the profit is 6*150 = $900
(c) When the marginal cost becomes zero, the intersection of the marginal cost and marginal revenue
curve is at