16.
Find all points on the circle x2 + y2 = 676 where the slope is 5/12
(x, y) = _______ (smaller y-value)
(x, y) = _______ (larger y-value)
13.
Find an equation of the tangent line to the graph at the given point.
x2y2 - 9x2 - 4y2 = 0, (-4, -2√3)
y = _______
12.
Find the slope of the tangent line to the graph at the given point.
(4 - x)y2 = x3, (2, 2)
12. - 11 points Y LARCALC9 2.5.031. Find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x?y, (1,1) Bifolium: (1,1) 10.5 -0.2 Need Help? Read It Watch it Talk to a Tutor Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x2 - y2), (-4,-2) Lemniscate Need Help? Read It Watch It Talk to a Tutor HEO Type here to search lenovo
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction 2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
MATH 241 S19 HOMEWORK 14 1. For each of theg, o dx (a) 4x3 + 7xy2 2Уз (b) x,5+1 xy + 1 2. For each of the following, find y': (a). xy sin(xy)-b) cosxy2)-y2+x 3. Find an equation of the line that is tangent to the graph of x2y2 4xy 12y at the point (2,) 4. Show that the graph of xy1 and the graph of x2-y2-1 intersect at right angles. 5. Given that x2 -y2 -1, show that y"...
6. Find the equation of the tangent line at the given point. (a) x2 + y2 = 25,(-3, 4) (b) 2y - Vt = 4,(16, 2) (c) y + xy² + 1 = x + 2yº, x = 2
Use Lagrange multipliers to find the points on the cone 22 - x2 + y2 that are closest to (14, 10, 0). (x, y, z) - ) (smaller z-value) (larger z-value) DETAILS SESSCALC2 11.6.042. MY NOTES ASK YOUR TEAC At what point on the paraboloid y = x + 2? Is the tangent plane parallel to the plane 7x + 4y + 72 - 4? (If an answer does not exist, enter DNE.) (*. V. 2) - (L
2. Find the equation of the tangent line to x2y2 = 4y2 + 9x2 at (4, -2√3). (8 points)
Find the slope of the curve below at the given points. Sketch the curve along with its tangent lines at these points. r= - 4+4 cos 0; O= The slope at the point o = 5 is (Simplify your answer.) The slope at the point 0 = (Simplify your answer.) is Identify the curve r= - 4 + 4 cos 0. OA. OB. OC. Give a geometric description of the set of points in space whose coordinates satisfy the given...
Find the points at which the graph of the equation has a vertical or horizontal tangent line. 25x2 + y2 - 50x + 10y + 25 = 0 horizontal tangents (x, y) (smaller y-value) (larger y-value) vertical tangents (smaller x-value) (x, y) = ) (larger x-value)
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...
(3 points) Find the slope of the tangent line to: a. the parabola y2 = 8c at the point (9,6); m = b. the ellipse 2? + $y? = 1 at the point (V14,1); m= -2sqrt(14) c. the hyperbola x² - y2 = 1 at the point (V3,V2). m