for r(s) =< 1 + s squared, s cubed, e to the power of s> at what point or points is the normal plane of the curve parallel to plane 2x+3y+ez=0?

Q: Find the length of the curve r (t) = 3ti + square root of 3t^3 j + 2/3 t^3 k in [0,1]

A:

Q: Find the length of the curve x= 4y +- from y = 1 to y = 3. w/ The length of the curve is (Type an…

A: We find dx/dy using the power rule.

Q: Find the length of the curve x=2t, y=3t, 0≤t≤1

A:

Q: Find the length of the curve over the given interval. r = 8, [0, π/6]

A:

Q: 4/2 % for 0 sxsl. Find the length of the curve y+1=- 3

A: The equation is y+1=423x3/2.   Differentiate with respect to x.…

Q: 2 The length of the curve y = 312 between x = 0 and x = 1 is 3 %3D %3D

A: Answer is 4√2/3 unit.

Q: The length of the curve y= is equal to x =3: from to 을(x2 + 2) O a. 12 Ob. 1 O c.9 Od. 3

A: We can use the application of integration in order to solve the given problem.

Q: An electrical device was measured for its current, I fluctuates at a number of different values of…

A: Given the data in the table of the current flowing at time t.   ts 0.6 1.1 1.5 1.9 IA -0.62Id…

Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

A:

Q: 4/2 -1 for [0, 2]. Q.7 Find the length of the curve y = 3

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Nindly answe is as soon as possibie. very urgent. ThankS (a) Solve it possible by method of…

A: Since you asked two separate questions so as per our guideline we solve only first question.…

Q: Find the length of the curve. x = 413. y = 612. 0 sts v8 %3D The length of the curve x = 4t°, y = 6t…

A: Given curve x=4t3,   y=6t2    0≤t≤8

Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: For numbers consider a plane bounded by the curve y = 4-x² and the x-axis. Which of the following…

A:

Q: Q8 Find the shor testand. longes+ distance from the point (i,2, to the a+y+z=24

A: Given the equation of sphere  x2+y2+z2=24 We have to find the shortest and longest distance from the…

Q: 3 2/3 3 4/3 X- 8 +7 for 1sxs 27. Find the length of the curve y=7*

A:

Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: 3 The length of the curve: Z 3 +5 for 1Sts8 is: 8t

A:

Q: e length of the curve y = V 4 – x2, 0 <x< 2. ing the shape of the curve.

A: Use the arc length formula to find the length of the curve.  y=(4-x2)1/2 , 0&lt;=x&lt;=2

Q: Q4: Q4:A/ Find the length of an are of the curve y = (1/6) x + (1/2) x from x = 1 to x= 2.

A: The arc length of the curve y=fx for x=a to x=b  is: L=∫abf'x2+1dx Now, we have y=16x3+12x-1  for…

Q: The inclination of the normal with positive direction of x- axis, drawn at another end of a normal…

A: The inclination of normal with positive direction of x-axis, drawn at another end of a normal to the…

Q: The fictional city of Torontino radially has a population density of 1000e-0.017² people per km²,…

A:

Q: Find the length of the curve. t,0stsV3 The length of the curve x = t°, y= ť on 0sts 3 is (Type an…

A:

Q: 3 Q1. Q1. Find the length of the of the curve y = x2 X2 - from x 0 to x 3.

A:

Q: 22. What is the equation of the normal to the curve y = 3x² – 2x + 7 at the point (1, 8)? А. х + 4y…

A: Solutions of both question are given below . May these help you.

Q: . The height of a hill is given by z = 100 – r2 – 3y? – 2y. Assume that the positive r-axis points…

A: Here is the solution of the given problem. Application of Directional Derivatives:

Q: An ant is crawling along the floor along a predetermined path. At time, t, the (x, y) position of…

A:

Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is…

A: We have to find arc length of give curve.

Q: 3 Find the length of the curve y = x² – 2 from x = 0 to x = 4.

A: Given curve is y=x32-2 Upon differentiating we get dydx=32x12 We know that length of…

Q: The length of the curve y = (2+ 2x )3/2 between x=0 and x=2 is O 41/3 O 45/2 O 43/2 O 47/3 49/6 ООО…

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: Find the point on the parabola x = t, y = t²,-∞ < t < ∞o, closest to the point (2, 1/2). (Hint:…

A:

Q: 4 Find the length of the curve y=x3 3 %3D x3 +5, 1 Record Audio Record Video Add a File

A: To find out the length of the curve.

Q: Compute the length of the curve r(t) = (-4t, 5t — 3, -2t + 3) over the interval 0 ≤ t ≤9 L =

A:

Q: 3 5/3 3 1/3 + 6 for 1sxs 27. Find the length of the curve y = 7x 4 5

A: Given equation of curve y=35x5/3-34x1/3+6            ;      1≤x≤6formula for arc length of the curve…

Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Equidistant points mean that the distance of two points represented by P1 and P2 is equal to the…

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

A:

Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

A:

Q: Q1. Find the length of the of the curve y = from x = 0 to x = 3.

A:

Q: n of the curve, L. (x+ 1)* , 0 0

A:

Q: Find the length of the curve. y 3x 3/2 from x = 0 to x = О 335 162 О 335 O 1 O335 243 559 3.

A:

Q: Q.N.4 Find the length of the curve 3x = (y + 2)3/2 from y = 2 to y 3 %3D

A:

Q: Q1. Find the length of the of the curve y= from x = 0 to x = 3.

A:

Q: Find the length of the curve. r(t) 4 it2j3k, 0 st s 1

A: Consider the curve x = 4, y = t2 and z = t3.The derivatives are

Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =

A: We will use the following formula.

Q: 10. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

A:

Q: Find the length of the curve y= (x+2)3/2 for a in the range 0 <I< 2. %3D

A: find the length of the curve y=x+232 for x in the range 0≤x≤2 solution length of the curve is…

Q: A tank contains 120 gallons of oil initially. Oil is being pumped out of the tank at a rate R(t),…

A: Given that,