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Precalculus
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Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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Calculus & Its Applications (14th Edition)
- Shooting into the Wind Using the parametric equations you derived in Problem 6. draw graphs of the path of a projectile with initial speed v0=32ft/s, fired into a headwind of =24ft/s, for the angles =5,15,30,40,45,55,60 and 75. Is it still true that the greatest range is attained when firing at 45 ? Draw some more graphs for different angles, and use these graphs to estimate the optimal firing angle.arrow_forwardSolve for the critical points of the parametric equations x = t3 -1, y = t2+tarrow_forward9.1.2 Sketch the plane curve defined by the given parametric equations, and find an x-y equation for the curve. x=1+2cos(t) y=-2+2sin(t)arrow_forward
- For problems 1 – 5 determine the length of the parametric curve given by the set of parametric equations. For these problems you may assume that the curve traces out exactly once for the given range of t’s.arrow_forwardfind parametric equations for the given curve. 4x − y2 = 5arrow_forwardFind the parametric equation of the line passing through the points P = (1, 2, −1) and Q = (1, −1, −2).arrow_forward
- In the given question as follows , sketch the curve represented by theparametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter:- x = t + 1, y = t2arrow_forward4. Find the parametric equation of the line through (1, 0, -2) and parallel to the line ⅓ (x – 4) = ½ (y) = z + 2.arrow_forwardWhat does the graph of the parametric equations x(t)=2−t and y(t)=(t+3)2, where t is on the interval [−4,0], look like? Drag and drop answers into the boxes to correctly complete the statements.arrow_forward
- The graph of the curve described by the parametric equations x = 4t −1, y = 3t + 2 is a straight line with slope ______and yintercept _____ .arrow_forwardConsider the graph ofr(t) = 2t^2i + t^2j + t^3 kDetermine parametric equations of the tangent line to the curve at the point where the curve intersects the planex − 2y − z = 8.arrow_forwardFind a parametric equation for the path of a particle that moves halfway around the circle (x^2)+(y-1)^2 = 9 counterclockwise, if the particle starts at (0,4). Let x and y be in terms of t for t between 0 and pi.arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning