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QUESTION 11 Consider the parametric equations, x =5e?' +2 and y = 1-5e27 Choose the integral...
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
). 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
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...
Question 11 Find the length of the curve with parametric equations x = 2t, y =...
Question 11 Find the length of the curve with parametric equations x = 2t, y = 3t, where 0 <t < 1. 10 42-2 O 4V2 - 1 22-1 4/ Question 12 True or false: y=x cos x is a solution of the differential equation y + y = -2 sin x True False
Question 1 1.67 pts The function F(t) is an antiderivative of f(t) = (0.95). Choose the...
Question 1 1.67 pts The function F(t) is an antiderivative of f(t) = (0.95). Choose the expression that is equal to F(5) - F(0) In(0.95)(0.95) S ln(0.95)(0.95) dt Š (0.95)' dt O MỸ (0.95) dt S." (0.95)of dit
2. Consider the parametric equations x = 5 - 12, y = 13 - 481 a....
2. Consider the parametric equations x = 5 - 12, y = 13 - 481 a. Find , and determine for what values oft is the curve concave up. and when is it concave down. 2 .- der2 b. Find where is the tangent line horizontal, and where is it vertical.
Consider the parametric equations below. x = 2 + 4t y = 1-t2
Consider the parametric equations below. x = 2 + 4t y = 1-t2 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.(b) Eliminate the parameter to find a Cartesian equation of the curve. y = _______ Consider the parametric equations below. x = 3t - 5 y = 2t + 4 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the...
12. For this question consider the parametric equation x = 2t +1, y = - 4...
12. For this question consider the parametric equation x = 2t +1, y = - 4 a. Graph fort in (-3,2] 6 1 G-21 . 3 0 2 b. Write an equivalent rectangular equation for the curve. Proctorio is sharing your screen Stop sharing o i
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to th...
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
Question 14 7 pts Consider the line integral F. dr where REC IND РІ. F(x, y,...
Question 14 7 pts Consider the line integral F. dr where REC IND РІ. F(x, y, z) = i + (x+yz)j + (xy – z)k and C is the boundary of the plane 2 + y + z = 4 in the first octant, oriented in the counterclockwise direction when viewed from above. the following double integrals is equivalent to this line Using Stokes' Theorem, which integral? °6964 (3 - 2z+1) du dz (2x + y) dy da Question 12...
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
). 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
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...
Question 11 Find the length of the curve with parametric equations x = 2t, y = 3t, where 0 <t < 1. 10 42-2 O 4V2 - 1 22-1 4/ Question 12 True or false: y=x cos x is a solution of the differential equation y + y = -2 sin x True False
Question 1 1.67 pts The function F(t) is an antiderivative of f(t) = (0.95). Choose the expression that is equal to F(5) - F(0) In(0.95)(0.95) S ln(0.95)(0.95) dt Š (0.95)' dt O MỸ (0.95) dt S." (0.95)of dit
2. Consider the parametric equations x = 5 - 12, y = 13 - 481 a. Find , and determine for what values oft is the curve concave up. and when is it concave down. 2 .- der2 b. Find where is the tangent line horizontal, and where is it vertical.
12. For this question consider the parametric equation x = 2t +1, y = - 4 a. Graph fort in (-3,2] 6 1 G-21 . 3 0 2 b. Write an equivalent rectangular equation for the curve. Proctorio is sharing your screen Stop sharing o i
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
Question 14 7 pts Consider the line integral F. dr where REC IND РІ. F(x, y, z) = i + (x+yz)j + (xy – z)k and C is the boundary of the plane 2 + y + z = 4 in the first octant, oriented in the counterclockwise direction when viewed from above. the following double integrals is equivalent to this line Using Stokes' Theorem, which integral? °6964 (3 - 2z+1) du dz (2x + y) dy da Question 12...
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