Find the integral that represents the length of the parametric curve defined by x = e'...

Question

Question

Find the integral that represents the length of the parametric curve defined by x = e –t, y = 2e2, 0 <t < 1. Select one: o a

math calculus

Answer 1

Answer #1

Length of any Parametric curve x= x(+); y = yet) ; 0€ 2B is given by: ds = √ (dx + (dus ir tt L = (ds where I we have; x = et Thank you!

Answer 2

Similar Homework Help Questions

Which of the following integrals represents the length of the parametric curve x = 1+e', y=t,...

Which of the following integrals represents the length of the parametric curve x = 1+e', y=t, -3 <t< 3, about the X-axis? A. Vet? + 4t2 dt 3 B. V2et + 4t2 dt Ve2t + 4t dt D. Vet + 4t2 dt U V2e + 4t dt 3 F. . Vet + 4t dt
). Write the definite integral representing the length of the curve with parametric equations x=fl.y=g asi...

). Write the definite integral representing the length of the curve with parametric equations x=fl.y=g asi Sb. (a) [10]?dt [1+S'(12 de afv+00F4 va ant.5(e) de 109/1+ [8°(6)de in jur(e) +3'(6)]? de (0) $(1+[*()}) de miVirof +8"(t)?de
6. (a) Use a graphing utility to graph the curve represented by the following parametric x=езі, over the interval-2sts2.(b) Write an integral that represents tions: the arc length of this curve o...

6. (a) Use a graphing utility to graph the curve represented by the following parametric x=езі, over the interval-2sts2.(b) Write an integral that represents tions: the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically) (e) Use the numerical integration capability of a the value of this integral. Round your result to the nearest tenth (Be careful with your notation, show orientation arrous on your curve, and show your steps clearly.) utility...

(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve ove...

(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically.) (c) Use the numerical integration capability of a graphing utility to approximate the value of this integral. Round your result to the nearest tenth. (Be careful with your notation, show orientation arrows on your...
(1 point) Find the length of the curve defined by the parametric equations 3 -1, X...

(1 point) Find the length of the curve defined by the parametric equations 3 -1, X = y = 3 ln((t/4)2 – 1) from t = 6 to t = 7.
Choose the correct integral for finding the length of the curve given by the vector equation,...

Choose the correct integral for finding the length of the curve given by the vector equation, r(t) = 3i+(2+1)j + (1 +e')k, Ostsi Select one: 0 o S'V9+972 +ezi de o S' (312 +e')dt o S"(3/1 +82 +e') di 0 O No correct answer S'V914+e21 dt 0

For r = e on the interval 0 <O< 1, find a definite integral that represents...

For r = e on the interval 0 <O< 1, find a definite integral that represents the arc length. Select the correct answer below: O 546 4Ꮄ dᎾ I'avas V2.de I 12 de
Find the Derivative of a Curve Defined by Trigonometric Parametric Equations Question What are the critical points for...

Find the Derivative of a Curve Defined by Trigonometric Parametric Equations Question What are the critical points for the plane curve defined by the equations r(t)o(2)(t)1in(2t), and t<T? Write your answer as a list of values of t, separated by commas. For example, if you found t 1 ort would enter 1,2. 2, you Provide your answer below: Find the Derivative of a Curve Defined by Trigonometric Parametric Equations Question What are the critical points for the plane curve defined...
Let the curve C in the (x, y)-plane be given by the parametric equations x =...

Let the curve C in the (x, y)-plane be given by the parametric equations x = e + 2, y = e2-1, tER. (a) Show that the point (3,0) belongs to the curve C. To which value of the parameter t does the point (3,0) correspond? (b) Find an expression for dy (dy/dt) without eliminating the parameter t, i.e., using de = (da/dt) (c) Using your result from part (b), find the value of at the point (3,0). (d) From...

Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 ...

need help Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 Find the length of parametized curve given by a(t) -0t3 -3t2 + 6t, y(t)1t3 +3t2+ 0t, where t goes from zero to one. Hint: The speed is a quadratic polynomial with integer coefficients. A curve with polar equation 14 7sin θ + 50 cos θ represents a line. Write this line in the given Cartesian form Note: Your answer should be...