(b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral. - fº√₁ (I) L = (II) L = 1 + dy dx dx [*√ ₁ + (+)² 1+ dx dy

Q: Sketch the graph of the curve

A:

Q: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

Q: Trace the curve: y = x³ + 3x² - 10x - 24

A: y=x2+3x2-10x-24

Q: 6 y = t the point (9, 6/3). Answer: y

A: Given : The equation of graph is y=6x....(1) Change the given equation by squaring on both sides…

Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ < t < ∞.

A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

Q: Sketch the curve :-

A:

Q: Identify and sketch the curve for x2+25y2-4x+100y + 4 = 0

A:

Q: Identify and sketch the curve for x2-y2-6x = 0

A:

Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

A:

Q: Sketch the graph of the curve y = x-1

A:

Q: Sketch the graph of the curve y=x(x² +2x)², labelling the stationary points and intercepts.

A: Recall: 1) Stationary Point : dydx=0 2) Intercepts :The x-intercept is the point at which the graph…

Q: Find the point on the curve 4x

A:

Q: What is the y-intercept of y = tanx?

A: y=tanx

Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,

Q: Find the slope of the curve x3 = (y - x2)2 at (1,2).

A: Topic:- application of derivatives

Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

A: