Draw a picture that shows the difference between dy and ∆y.

Q: 6. The slope of the line normal to the graph of y = 2 In(secx) at x = is

A:

Q: 2. Let F = (-y/2, x/2), and let C be the curve shown below. What is F ds? Explain %3D why. y 1 1 2 3

A: The vector field is F=-y2, x2 C1:0, 0→2, 0rt=2t, 0, r't=2, 0 F=0, t Hence, the integral becomes…

Q: 11. What is the term that refers to the amount by which a wave shifts horizontally? A. amplitude B.…

A: Solution : 11. We need to find out what is the term that refers to the amount by which a wave…

Q: 4 Find all the points on the curve x2 + xy + y? = 3 where the tangent to the curve is a vertical…

A:

Q: 13. Show that the length of the portion of any tangent line to the ball x2/3 + y2/3 cut off by the…

A: Given: The equation of the ball is: x23+y23=a23...........(1) We have to show that the length of the…

Q: If M = 4320 and G = 150, what is the AD curve? A. 4320 Y =: +1130 2x4320 + 1130 %3D P. Y = 2x4320…

A:

Q: (a) Given that the transition curve of the highway is modelled after the curve y=4sin x-sin 2 x.…

A: Guven curve  y= 4sinx-sin2x. We have to find its curvature at x=pi/2.

Q: Find the equation of the tangent line and normal line to the graph of y = x-1 at the x+1 point where…

A:

Q: 2. The tangent line to the graph of y= e3-x at the point (3, 1) intersects the x-axis at the point P…

A:

Q: in find laplace %3D

A: Given :f(t) = tn

Q: 11.What is the slope of the tangent line to the curve y = 3x? – 5 at poin - O A. -7 О в. -5 O C. -6…

A: Differential equation

Q: 29. Find equations for the lines that are tangent and normal to the curve y = V2 cos x at the point…

A: y=2cosx ,   π4, 1 Differentiating with respect to x, we get dydx=2-sinx=-2sinx Now slope of the…

Q: Determine the least radius of curvature of the exponential function y=ex.

A: Given: The exponential function y=exTo find: The least radius of curvature of the given exponential…