(b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating rectangles for L3. y 20 15 10 1

Q: Discuss the properties of the curve and sketch fully (drawn to scale) 1) Y = 3x5 - 5x3 + 4

A: Find the attachment

Q: Find the exact length of the curve a 1+ 3t", y = 4+2t", 0 <ts1.

A: Exact answer is 2(2√2 -1)

Q: : 6x² perpendicular At what point is the tangent line to the curve y°: to the line x+ 2y – 4 = 0?…

A: Explained below

Q: 1. Consider the curve C given by y = 5 + 2x3/2, 0 < x <1. (a) Find the length of the curve C.

A:

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 7. Y= 3x-5x³ + 4 8. Y (2x-…

A: Given function is y=3x5-5x3+4 Given function is polynomial function Domain: The set of all real…

Q: Find the exact length of the curve. y? = 64(x + 5)3, 0sxs1, y > 0

A:

Q: Find the exact length of the curve. x = 1 + 9t2, y = 8 + 6t, 0 sts 4

A: Answer is mentioned below

Q: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y + 3)2 = 50 at the point P…

A: We Know that A tangent to a circle at point P with coordinates is a straight line that touches the…

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 7. Y=x³ – 3x? 8. Y= (2x–…

A: 7.)  y = x3 - 3x2 Properties of the curve:   The function takes zero at x= 0 , 3     It has local…

Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

A:

Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

A: Let's find.

Q: consists of y = 4-x and straight line from (-2,0) to (2,0). Sketch the curve C. 64 ans: 3

A:

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x² + 4x – 12…

A: Given: (1)  y=x3-3x2+4x-12 (2)  y=x2-52

Q: find the eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 2. y = (x2 – 3)2

A:

Q: 2. Find the exact length of the curve. y = 3 ,1 < x< 2 15+51

A: Find the exact length

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

A: Given curve is, y=2 + 2x32,  0≤x≤1 Find the exact length of the curve. Length of the curve:…

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 7. Y = 3x5 – 5x³ + 4 8. Y=…

A: 7.   Given: y=3x5-5x3+4Domain: ℝ,   Range:ℝOrigin:…

Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

Q: 3 y + 3 Find the length of the curve x = 18 2у on 3sys5.

A: Length of the curveL=∫ds where ds=1+dxdy2dy y is between 3  and 5…

Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x 1+2nx b) y = =

A: Get  the asymptote of equation in a: y=limx→∞x2e-x   =0 Thus, plot the graph:

Q: (b) Repeat part (a) using a left endpoints. L-27 L6= 28 5 Sketch the curve and the approximating…

A: Draw the rectangles for left Reimann sum.

Q: C3. Find the length of the of the curve x= 1 from y = 1 to y = 2 %3D 4 8y?

A:

Q: 4 Find a. the equations of the tangents to the circle x + y? +4x-2y-24 = 0 at the points where the…

A: 4(a). The given equation of circle is: x2+y2+4x-2y-24=0

Q: DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. Y = 3x5 – 5x3 + 4 2. Y =…

A: Given function is: y=3x5-5x3+4 The graph of this function is as follows:

Q: I have taken the integral of A, and I'm towards the end of finding B but I'm confused on how I use…

A:

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12…

A:

Q: Find the exact length of the curve. y (y-3), 4sys 16 X =

A: use derivative for finding the exact length.

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx %3D

A:

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y= (1/3)x – (1/2)x² -…

A: A real-valued function shows various properties such as symmetricity, passing through the origin,…

Q: 1. Find the length of the curve 4Y, 1<Y<2 8

A:

Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x³ - 3x? + 4x- 12…

A: y = x3 - 3x2 + 4x - 12y = x2(x -3) + 4(x - 3)y = (x2+4)(x - 3)   X-intercept: (3, 0)    [Real values…

Q: 5. Find the length of the curve = = = (1 ²+2) X=- 3 9 0≤ y ≤ 4

A:

Q: Q: Find the point on the curve 4x' +a'y = 4a', 4< a < & that is farthest from the point (0,-2).

A:

Q: The siope of a line tangere to the curve y=fx)at(3 4) 0f iz cists) equais

A:

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x? + 4x – 12

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: 5. Find the length of the curve y = 2(2+ x)², 1<x<8 %3D

A:

Q: Find the equation of the lines tangent to the curve x2 + y2 = 4 and parallel to the y-axis ? O A. X…

A:

Q: (i) On the same diagram, sketch the eurves y? =-* and y x (ii) Find the exact r-coordinate of the…

A: The solution is given below in the next step:

Q: Discuss the properties of the curve and sketch fully: a) y = x2 e-x b) y = 1+lnx

A: To sketch the curve : a) y = x2e-xb) y = 1 + ln xx

Q: b) Find the points on the curve 2 17x + 12xy + 8y“ = 100| that are farthest away from the origin…

A: Substitute x = rcosθ and y= rsinθ

Q: Find the exact length of the curve. y ‹ = ²(1 + x²j³/2₁ 3/2, 0≤x≤ 5

A: The objective of the question is determine the length of the given curve.

Q: li) y²= x3 2. between XEo nd x=7 49x between X=0 nd X=1 (a) sketch the Curve (b) Lind its length.

A: i) a). Given: The curve y2=x37, lies between x=0 and x=7. Then y=x37, a=0 and b=7  Use an online…

Q: (c) Repeat part (a) using midpoints. M3 = M6 = Sketch the curve and the approximating rectangles for…

A:

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

A: