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1. Let C be the parametric curve given by (x(t), y(t)), whose graphs are shown below. Both consis...
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...
pset3: Problem 1 Up Next Prev of c such that the area of the region bounded by the parabolae y - 2-2 and y (1 pt) Find the value(e) 4608. Answer (separate by commas): cI pset10: Problem 2 Pr...
pset3: Problem 1 Up Next Prev of c such that the area of the region bounded by the parabolae y - 2-2 and y (1 pt) Find the value(e) 4608. Answer (separate by commas): cI pset10: Problem 2 Prev UpNext (1 pt) The Taylor series for f (x) = ln (sec(x)) at a = 0 is Σ.:0 cn x". Find the following coefficients. C2 = Cgー C4= pset6: Problem 1 Prev Up Next (1 pt) Find the infinite sum (if...
1 2 3 n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does...
1 2 3
n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
25. Given the following parametric curve X(t) = -1 + 3 cos(t) y(t) = 1 +...
25. Given the following parametric curve X(t) = -1 + 3 cos(t) y(t) = 1 + 2 sin(t) 0<t<21 a) Express the curve with an equation that relates x and y. 7C b) Find the slope of the tangent line to the curve at the point t c) State the pair(s) (x,y) where the curve has a horizontal/vertical tangent line. 27.A particle is traveling along the path such that its position at any time t is given by r(t) =...
show all work | 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing...
show all work
| 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1
Graphs of functions and are shown below. Suppose x = 0 and x = -1 are...
Graphs of functions and are shown below. Suppose x = 0 and x = -1 are vertical asymptotes for both functions. Assume that the graphs continue in the same way as x approaches a 0 and 4(eg stays on top close to = 0, and stays on top close to-). Which of the following statements is TRUE? g(x) f(x). -3 O If 9(x) dx converges, then dar converges too. Isla) na ſs) dx either both 0 The integrals 9(2) dar...
What is the limit of the sequence -1 sin 1 Does not converge 21 12 1 What is the sum of 13 13 12 1 13 None of the above...
What is the limit of the sequence -1 sin 1 Does not converge 21 12 1 What is the sum of 13 13 12 1 13 None of the above 3) 2 5/2 Evaluate 0 7n 125/2 4) 2 (ln n true false The series converges 5) 2n2 1 The series converges The series diverges. 3n36 Using the limit comparison test The test is inconclusive determine whether the series converges or diverges.
What is the limit of the sequence -1...
Question 6 14 pts Consider the curve C defined by the parametric equations: x f(t) y=...
Question 6 14 pts Consider the curve C defined by the parametric equations: x f(t) y= g(t) = sint -t costt (d) Which picture shows the curve C? Recall the curve C is defined by : x= f(t) cos t g(t) = sint - t y 20 20 10 10F 0 -10 -10 -20 -20 -20 10 -20 10 C 20 -10 0 10 (i) (ii) X 20 20 10 10 0 0 10 -10 -20 -20h -20 10 -20...
(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.
Question 9 00 Find Š (min 4 (n+1) Submit Question Question 10 00 n-1 Given the...
Question 9 00 Find Š (min 4 (n+1) Submit Question Question 10 00 n-1 Given the series $(-9 n=1 Does this series converge or diverge? O diverges O converges If the series converges, find the sum: Submit Question
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...
pset3: Problem 1 Up Next Prev of c such that the area of the region bounded by the parabolae y - 2-2 and y (1 pt) Find the value(e) 4608. Answer (separate by commas): cI pset10: Problem 2 Prev UpNext (1 pt) The Taylor series for f (x) = ln (sec(x)) at a = 0 is Σ.:0 cn x". Find the following coefficients. C2 = Cgー C4= pset6: Problem 1 Prev Up Next (1 pt) Find the infinite sum (if...
1 2 3
n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
25. Given the following parametric curve X(t) = -1 + 3 cos(t) y(t) = 1 + 2 sin(t) 0<t<21 a) Express the curve with an equation that relates x and y. 7C b) Find the slope of the tangent line to the curve at the point t c) State the pair(s) (x,y) where the curve has a horizontal/vertical tangent line. 27.A particle is traveling along the path such that its position at any time t is given by r(t) =...
show all work
| 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1
Graphs of functions and are shown below. Suppose x = 0 and x = -1 are vertical asymptotes for both functions. Assume that the graphs continue in the same way as x approaches a 0 and 4(eg stays on top close to = 0, and stays on top close to-). Which of the following statements is TRUE? g(x) f(x). -3 O If 9(x) dx converges, then dar converges too. Isla) na ſs) dx either both 0 The integrals 9(2) dar...
What is the limit of the sequence -1 sin 1 Does not converge 21 12 1 What is the sum of 13 13 12 1 13 None of the above 3) 2 5/2 Evaluate 0 7n 125/2 4) 2 (ln n true false The series converges 5) 2n2 1 The series converges The series diverges. 3n36 Using the limit comparison test The test is inconclusive determine whether the series converges or diverges.
What is the limit of the sequence -1...
Question 6 14 pts Consider the curve C defined by the parametric equations: x f(t) y= g(t) = sint -t costt (d) Which picture shows the curve C? Recall the curve C is defined by : x= f(t) cos t g(t) = sint - t y 20 20 10 10F 0 -10 -10 -20 -20 -20 10 -20 10 C 20 -10 0 10 (i) (ii) X 20 20 10 10 0 0 10 -10 -20 -20h -20 10 -20...
(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.
Question 9 00 Find Š (min 4 (n+1) Submit Question Question 10 00 n-1 Given the series $(-9 n=1 Does this series converge or diverge? O diverges O converges If the series converges, find the sum: Submit Question
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