Find an equation for the line tangent to the graph of y=x3+ √xy + y3=3 at the point (1,1).
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
Find an equation of the tangent plane to the surface at the given point. x2 + 2z2ev - * = 22, P= (2, 3, te) Use the Chain Rule to calculate f(x, y) = x - 4xy, r(t) = (cos(5t), sin(3t)), t = 0 force) = +-/1 points RogaCalcET3 14.5.015. Use the Chain Rule to calculate f(x, y) = 5x - 3xy, r(t) = (t?, t2 - 5t), t = 5 merce) = + -/1 points RogaCalcET3 14.5.018. Use the...
Find the equation of tangent line to the curve y = x2 – \sqrt[3]{x} at the point (-1,0).
5. Given the function x²y = 8 – xy Find the equation of the tangent line to the curve at the point (-2,1)
13) Find an equation of the tangent line to the curve y=sin(5x)+cos(8x) at the point (π/6,y(π/6)). what is the tangent line: 14) f(x)=4x^2cos(4x) what is the first and second derivatives and solve both for F(5) NOTE There should be four answers! 16) Suppose that f(x)=3x/(4−5x^)3 find an equation for the tangent line to the graph of f at x=2. the tangent line: y=
7. Find an equation of the tangent line to the graph of f(x) = x2 - 2x at (-2,8). Write your answer in the y = mx + b form. (12 points)
4. Find the equation of the tangent line to curve 3 (x2 + y2) ? = 25 (x2 - y2),= 1 at (2,1).
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
Solve the problem. 1) Write an equation for the tangent line to the curve x2 - 5xy + y2 = 7 at the point (-1, 1). Compute the gradient of the function at the given point. 2) f(x, y, z) = -5x - 9y + 10%, (3, 4,-2)