1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph 1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and...
you can skip question 1 Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph. 1. Show that the surface area generated by rotating, about the polar axis, the graph of the curve 2. f(0),0 s asesbsnis S = 2nf(0)sin(0) J(50)) + (r°(®)*)de Find an equation, in both...
MTH 1203 eference: Calculus Textbook, 5th edition, Smith,Minton,Rafhi Prepared by Tamar Krikorian; Using lim Sin e Find the following limits: 21. lim sin V20 . sin 3y 23. lim 25. lim lan 2 r csc 2x x--o cos 5x 27. lim x + xcos r 29. lim MTH 1203 eference: Calculus Textbook, 5th edition, Smith,Minton,Rafhi Prepared by Tamar Krikorian; Using lim Sin e Find the following limits: 21. lim sin V20 . sin 3y 23. lim 25. lim lan 2...
Given the vector Ht)= [e?' – 3t]i +8°; - [sin(2t)–21]k. For what t-values is F(t) not smooth (if any)? Explain your answer.
f(x+h)-f(x) 12. Determine lim h 0 h a. f(x)= x² answer: 2x 1 b. f(x)= x answer: 2√x c. f(x)=1/ x answer: -1/x? d. f(x)= et answer: et e. f(x) = sin x answer: COS X f. f(x)= = COS X answer: – sin x
Given that lim F(x) = 0 lim g(x) = 0 lim h(x) = 1 Jim P(x) = lim (x) = .. evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [fix)] lim [F(x)] X (c) lim [h(x)]04) 8 [(x)] X lim P(x)] 20 X (1) lim "P(x) X Enhanced Feedback Please try again, keeping in mind that the indeterminate cases are 0.9, 03.00,60,1", and " - .. Need Help? Read It Talk tea Tutor...
all parts -2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
If u(t) = sin(2t), cos(2t), t and v(t) = t, cos(2t), sin(2t) , use Formula 5 of this theorem to find d dt u(t) × v(t) .
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
1L COS v 21) Let H denote the surface parametrized by r(u, )sin, where 7 0S11 land 0 < u < 2T. (a) Compute Tu, Tu, and Tu X T, (b) Compute 1L COS v 21) Let H denote the surface parametrized by r(u, )sin, where 7 0S11 land 0