Let c(t) = (712 – 5,5t2 – 30t). Find the equation of the tangent line at...
Find an equation of the tangent line to y = 3sin(x) at x = π/6. (Use symbolic notation and fractions where needed.)
1 Let f (z, y)5) Find the equation for the tangent plane to the graph of f at the point (3, 3) (Use symbolic notation and fractions where needed.) Hint 1 Let f (z, y)5) Find the equation for the tangent plane to the graph of f at the point (3, 3) (Use symbolic notation and fractions where needed.) Hint
13 6 Find the equation of the tangent line to the cycloid generated by a circle of radius r = r= 1 at t = (Use symbolic notation and fractions where needed.) y =
Let f(x, y) = 7x²y + 2x + 2. Evaluate f(5,5). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(5,5) = Evaluate f(x + d, y). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x + d, y) = Evaluate f(x, y + d). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x, y + d) =
A bullet follows the trajectory c(t) = (1207 - 20, 1501 - 4.912). Describe this trajectory in the form y = f(x). (Use symbolic notation and fractions where needed.) y = 30 Find the equation of the tangent line to the cycloid generated by a circle of radius r = 1 ati => (Use symbolic notation and fractions where needed. ) y =
Let F be the equation y=e^5x, let G be the equation x= 7, and let H be the equation y=1 . Find the area of the region enclosed by the graph of these equations.(Use symbolic notation and fractions where needed.) area= (b), Let F be the equation y= sin(11 x), and let G be the equation y= cos(11 x). Find the area of the region enclosed by the graphs of these equations if 0 less than equal to x less...
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
THE ANSWER IS NOT 0. NO DECIMALS EXACT ANSWER ONLY Find the line integral ſc (3x + 4y) ds along the curve C, which is given by x = sin (31), y = 5 sin (3t), and 0 sts (Express numbers in exact form. Use symbolic notation and fractions where needed.) | 3x (3x + 4y) ds =
Find parametric equations for the line through Po = (7,-1, 1) perpendicular to the plane 4x + 10y - 3z = 10. x = 7 + 4t (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Expand the function is in a power series anx" with center c = 0. Find anx”. n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (-1)" in your answer.) (-6) anx" = 5n+2 Determine the interval of convergence. (Give your answers as intervals in the form (*, *). Use symbol oo for infinity, U for combining intervals, and appropriate type of parenthesis " (", ")", "[" or...