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Question 9 (1 point) Vx+5 Determine the slope of the tangent for: y = 3 2...
2 The slope of the tangent line to the curve y = at the point (8, is: 1 32 The equation of this tangent line can be written in the form y = mx + b where: m is: bis:
30 6 9 Compute the slope of the line tangent to the 36 Consider the upper half of the ellipsoid f(x,y) = and the point P on the level curve f(x,y) - level curve at P, and verify that the tangent line is orthogonal to the gradient at that point. 245 A. The slope is 5 OB. The slope is undefined, so the tangent line is vertical Verify that the tangent line is orthogonal to the gradient at P Select...
QUESTION 4 Find the slope of the tangent line to the graph of y=-- at (2.-3) and write the corresponding equation of the tangent line For the taalhar press ALT+F10 (PC) or ALT+FN+F10 /Marl
QUESTION 9 Determine the slope and y-intercepto y=-3x-4 Om=2; y-intercept is (0,4) 1=-3 : y-intercept is (0, - 4) O mu. y-intercept is (0,4) om=- 4; y-intercept is (0, 3) QUESTION 10 Factor by grouping, Click Save and submit to save and
(a) Find the slope m of the tangent to the curve
y = 2 + 4x2 − 2x3
at the point where x = a.
m =
(b) Find equations of the tangent lines at the points (1, 4) and
(2, 2).
y(x)
=
(at the point (1, 4))
y(x)
=
(at the point (2, 2))
(c) Graph the curve and both tangents on a common screen.
say and the sose m of the target to the survey * 2...
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...
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or skew. If they intersect, find the point of intersection Given SI: x2-2y2 = 4z2-252 &s2: (0 Show that the tangent planes to the two surfaces at P(2,0,-8) are perpendicular. whether the lines parallel, 2-z & 12 Marks] 4x2 +9y2-24. (B) Find the points on Si at which the tangent plane is parallel to the plane x+y+32-5 3 Marks]
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or...
At the given point, find the slope of the curve or the line that is tangent to the curve, as requested. y® + x3 = y2 + 11x, tangent at (0,1) 11 O A. y=- 8 11 OB. y=- EX-1 11 O C. y= 6*+1 11 OD. y= *+1
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...
Question 3 Find the slope of the tangent line tor = 3+ 8 sin(©) at = 5 2,5 7 37 5 None of the above or below 22 3 11/3 5 O 53 13