The parabola has representation 4fy = x2 where f is the focal length. Use calculus to find the length of the arc of the parabola in meters. [answer: 7.08 m.]
f= 6.53
The parabola has representation 4fy = x2 where f is the focal length. Use calculus to find the length of the arc of the...
4. Find the arc length of the semicubical parabola y2 = 13 between the points (1,1) and (4,8).
Use the Arc Length formula to find the exact length of the curve and leave the answer in fraction:- y(x2 - 438/2, 25x54
= In x 5. Find the arc length of the curve f(x) x2 between x = 8 perfect square, so the integrand simplifies nicely. 1 and x = 5. Note that 1+(f'(x))2 is a
Find the arc length of the graph by partitioning the x-axis. {(x2 + 133/2, from * = 3 to x = 6 y = 4. [-/3 Points] DETAILS SULLIVANCALC2 6.5.029. For the function, do the following. y = 16 – x2, from x = 0 to x = 1 (a) Use the arc length formula (1), dx, to set up the integral for arc length s. SV 3+ [fc] 1) ox S = (b) If you have access to a...
Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola: 12.8y = x2 The focus is _______ The directrix is _______ The focal diameter is _______ The vertex is _______ The axis of symmetry is _______ Be sure to enter each answer in the appropriate format. Hint: What is the appropriate notation for a line or a point?
Please show your work. 3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l to x = 4 . What method do you think you would need to use to 2 evaluate this integral analytically? Do not evaluate this integral. 3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l...
ter 6: Applications of Integral Calculus Compute the length of the arc f(x) = 1+ 2 + 2 , xe[0,1]. Select one: O a. e-1 1 O b. Alw Alw - e-104 o de+1 PREVIOUS PAGE
A convex lens has its focal length f= 44.8 cm. (a) Where will it focus the object, which is 2.0 m away from the lens? (b) What will be the size of the object's image if the size of the object is 1.5 cm?
A converging lens has a focal length f. If an object is located at the focal point, calculate where the image forms? please explain!
sequence and series calculus 9. Find the power series representation for the function f() - In(1 - 5x) Show Work