2.1.13 (a) Find the slope of the curve y=x°-11x at the given point P(1. - 10) by finding the limiting value of the slope of the secants through P. (b) Find an equation of the tangent line to the curve at P(1. - 10). (a) The slope of the curve at P(1. - 10) is
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
find the equation of the line sin(x+5y)+11x+1=e^y
Simplify the rational expression. x2 + 11x + 18 x2 + 16x + 63 Simplify the rational expression. 16 – x2 x3 – 64 Perform the multiplication or division and simplify. x2 - x - 56 x3 + x2 x2 + 7x x2 - 7x - 8 Perform the addition or subtraction and simplify. x+4' ,
4. For f(x) = x2 - 11x+5.find f(x +h)-f(x) Ans 4 in the anont of flu v akatch the ononh of
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)
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
Area between the curve problems 1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y 1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y
Write the partial fraction decomposition of the rational expression. 11x - 48 x2 - 9x + 20
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