On a separate piece of paper, sketch the graph of the parabola y= +4. On the...
Let f(x) = z² and g(x) = (1 - 5)² + 10. There is one line with positive slope that is tangent to both of the parabolas y = f(x) and y = g(x) simultaneously. ye9bx)/ y=f/ Find the equation of the line. y= On a separate piece of paper, sketch the graph of the parabola y = 2? + 6. On the same graph, plot the point(0, – 3). Note that there are two tangent lines of y =...
Below is a Mathematica graph of the parabola y =- - +6. On the graph, sketch by hand the two tangent lines to the parabola that pass through the point (0,8). Now find the exact coordinates of the two points where these tangent lines touch the parabola.
(b) The graph of a parabola passes through the points (3/2,4/3) and (0, -6) and has a horizontal tangent line at (3/2,4/3). Find an equation for the parabola and sketch its graph. 1) (1 216+
Please graph the following functions in a separate piece of paper. I y = 3 tan (2x x- a) 2 TT y = - tan ( x + b) 4
Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation to x√ near x=4. Use this approximation to find approximate values for 4.5‾‾‾√ and 5√
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
Question 4 g A-2 B 6 0 The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the graph of g. The parabola has x-intercepts –2 and 6, and y-intercept 6. Its turning point is C. The circle has its centre at the origin and it passes through the point A, which has coordinates (-2,0). At point B both the circle and the straight line cut the x-axis. The straight line...
[10] 9. Use a graphing calculator to sketch the graph (on this paper) of the parametric curve 24t, y2 - 4t. Estimate the coordinates of the point where the graph crosses itself. Confirm your estimate algebraically, then find the equations of the two tangent lines to the graph at that point.
[10] 9. Use a graphing calculator to sketch the graph (on this paper) of the parametric curve 24t, y2 - 4t. Estimate the coordinates of the point where the...
Sketch the graph For this question, take a piece of paper and write your name and the date at the top thand this in to me at the start of our next class, Consider a mass (m-0.5 kg) attached to a spring C- 12.5 N/m). The massis Pulled to i's potive mpoltuce Al ind let go As the mass pas0os e equilibrium point for the first time, you start your timer (ta). Plot a position-time graph for this motion. Hint...
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0;
2. Use...