Let x = 4t - 2 and y = + 5 (25 points) Sketch the...

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Let x = 4t - 2 and y = ² + 5 (25 points) Sketch the curve given by the given parametric equations, indicating the direction of increasing t. ● • Eliminate the parameter, t to find the cartesian equation for the curve. Does it agree with your sketch? . Find the slope of the tangent line to the curve at t = 1 by: Using the parametric equations to calculate (i.e. not eliminating the parameter). o Using the cartesian equation to calculate directly at the point. o Find the equation of the line tangent to the curve at t = 1. o Are there points where the tangent line is horizontal? Vertical? If so, say where. Use the parametric form of the second derivative to find Let x = 4t - 2 and y = ² + 5 (25 points) Sketch the curve given by the given parametric equations, indicating the direction of increasing t. ● • Eliminate the parameter, t to find the cartesian equation for the curve. Does it agree with your sketch? . Find the slope of the tangent line to the curve at t = 1 by: Using the parametric equations to calculate (i.e. not eliminating the parameter). o Using the cartesian equation to calculate directly at the point. o Find the equation of the line tangent to the curve at t = 1. o Are there points where the tangent line is horizontal? Vertical? If so, say where. Use the parametric form of the second derivative to find