From point B to A the slope is positive and decreasing
A to C Slope is negative and decreasing
So the option 1 is correct.
Variable Y 0 3 6 9 12 Variable x 15 18 Refer to the provided graph....
Problem 3 (12 points) The curve with parametric equations (1 + 2 sin(9) cos(9), y-(1 + 2 sin(θ)) sin(0) is called a limacon and is shown in the figure below. -1 1. Find the point (x,y 2. Find the slope of the line that is tangent to the graph at θ-π/2. 3. Find the slope of the line that is tangent to the graph at (,y)-(1,0) ) that corresponds to θ-π/2.
Problem 3 (12 points) The curve with parametric equations...
Refer to the graph of y=f(x)=x2 + x shown. Answer
parts A-D as an integer or simplified fraction.
a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2 + h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)). 18- 16- 14 12 10- 8- 6- 49...
Answer both questions please
Question 13 0/ 1 point If we are given a graph which shows a plot of the position as a function of time, xt), how will the instantaneous yelocity at point C be related to the graph? A) it would equal the slope of the line tangent to the x(t) curve at point B B) it would equal the slope of the line tangent to the x(t) curve at point C C) it would equal the...
Appendix Problem 3 the variables x and y x1 23 4 y 31 2823 16 2. The relationship between x and y is A. negative becoming steeper O B. positive becoming steeper O positive becoming less steep O D. positive and linear 3. The graph shows the relationship between x and y Draw a line that intersects both x and y axes and is tangent to point A-a line that touches point A and no other point on the curve....
(Advanced analysis) The equation for the supply curve in the below diagram is approximately 30- -Q Ο 20 40 60 80 100 Multiple Choice Ο P= 4 - 30. Ο P= 4 + 0.30. Ο Ο P=4 + 20. Ο Ο P=4 + 0.50. · Price Q, QQ, Quantity Demanded Refer to the diagram. In the P1P2 price range, demand is Multiple Choice relatively elastic perfectly elastic 0 relatively inelastic. 0 of unit elasticity Variable Y Ο 3 6 9...
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...
Let f(x) = x² - 10x - 9. a. Find the value(s) of x for which the slope of the curve y = f(x) is 0. b. Find the value(s) of x for which the slope of the curve y = f(x) is - 2. a. The point(s) at which the slope of a tangent line is 0 is (Type an ordered pair. Use a comma to separate answers as needed.) b. The point(s) at which the slope of a...
Find the slope of the line tangent to f(x) at x = 3. The graph of f(x) is shown below. Move the point on the curve to x = 3. Then plot two points on the tangent line. Finally, calculate the slope of the tangent line at x = 3. Answer 2 Points Keypad Points can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once all required points are plotted and will...
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-1 orthogonally at (-1,0) and (1,0). Let H be the set of curves y2-2.2-b with b є R. (a) Prove that the tangent line of each curve in H at a point (x, y) with y 0 has slope - (b) Let y-f(x) be a...
Question 2: Find for the following functions: (1) y=-42x2-3x -! 7x? -5x + 9 (3) y= x+5 (5) Y= 7+3 (y = (3x* + 3x + 2)(x+1) (7) y =(5x + 7x) Page 1 of 2 Question 3: (0) Find the slope of the graph of y=f(x) = 3x - 6x +1 at the point (2,1) (ii) Find the equation of the tangent line to the curve y = f(x) = x*-10x2 + 9 at x=-1 (iii) Find the equation...