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Calculus

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Hpc3 notea

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Chapter 3Chapter 3Falling Objects andFalling Objects andProjectile MotionProjectile Motion Gravity influences motionin a particular way. How does a droppedobject behave??Does the objectaccelerate, or is thespeed constant??Do two objectsbehave differently ifthey have:?different masses??different shapes?

Calculus 1 Exam 3 4of4

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18) Find the center, foci, and vertices of the ellipse, and determine the length of the major and minor axes. Then sketch the graph. a) b) Center: Foci: Vertices: 19) Find the solutions of the system of equation. 20) The population of a certain city was 112,000 in 2006, and the observed doubling time for the population in 18 years. a) Find an exponential model for the population t years after 2006. b) Find an exponential model for the population t years after 2006. 21) Find the for the given system of equations.
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Calculus 1 Exam 3 3of4

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14) Determine whether the equation represents an ellipse, a parabola, a hyperbola, or a degenerate conic. 15) Find the focus, directrix, and focal diameter of the parabola, and sketch its graph. a) b) Vertex: Focus: Directrix:

Calculus 1 Exam 3 2of4

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8) Find the inverse function of f. 9) Find the exact solution and rounded to four decimal places solution of the exponential equation. 10) Find the solution using Gaussian elimination or Gauss ? Jordan elimination. 11) Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution. Find the solution using Gaussian elimination or Gauss ? Jordan elimination 12) Graph the solution set of the system of inequality. 13) Use Cramer?s Rule to solve the system.
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