1,125 Answered Questions for the topic AP Calculus
Which of the following series could be tested for convergence/divergence with the integral test?
Which of the following series could be tested for convergence/divergence with the integral test?
A
I only
B
II only
C
II and III
D
I and II
Which of the following statements is true for the series the summation from n equals 0 to infinity of the nth power of the quotient of e and pi ?
Which of the following statements is true for the series ?
A
Converges to
B
Converges to
C
Converges to
D
Diverges
Which of the following statements is true for the series the summation from n equals 0 to infinity of the product of negative 1 raised to the nth power and 5 over 4 to the nth power ?
Which of the following statements is true for the series ?
A
The series diverges because it is geometric with r = and a = -1.
B
The series converges to 4 because it is geometric with r = and...
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Which statement is true about the series the summation from n equals 1 to infinity of 3 plus 2 times the quantity k minus 1 ?
Which statement is true about the series ?
A
It converges to 0.
B
It is arithmetic.
C
It converges to some unknown value.
D
It is geometric.
Find the third term of the sequence whose general term is a sub n equals the quotient of the product of negative 1 raised to the n plus 1 power and 2 to the nth power and the quantity n plus 1...
Find the third term of the sequence whose general term is , n = 1, 2, 3, ....
A
B
C
D
Ap Calculus Calculus
03/23/21
Match each series to the test that should be used to test for convergence/divergence.
Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used...
more
Ap Calculus Calculus
03/23/21
Find the sum of the series
Find the sum of the series correct to four decimal places.Type your answer in the space below and give 4 decimal places. If your answer is less than 1, place a leading "0" before the decimal point...
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Which one of the following series is convergent?
Which one of the following series is convergent?
A
B
C
D
Estimate the sum of the alternating series the sum from n equals 0 to infinity of the quotient of negative 1 raised to the nth power and the quantity 2 times n factorial within an error of 0.0001.
Estimate the sum of the alternating series within an error of 0.0001.Type your answer in the space below and give six decimal places. If your answer is less than 1, place a leading "0" before the...
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Determine which one of the following tests could be used to show that the series the summation from n equals 1 to infinity of 1 over n squared is convergent.
Determine which one of the following tests could be used to show that the series is convergent.
A
Geometric series test
B
Integral test
C
Nth term test
D
Ratio test
Which of the following statements is true for the series the summation from n equals 1 to infinity of the quotient of the sine of n and 2 to the nth power ?
Which of the following statements is true for the series ?
A
The alternating test applies but is inconclusive.
B
The series converges conditionally.
C
The series diverges.
D
The series...
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Which of the following series are absolutely convergent?
Which of the following series are absolutely convergent?
A
All of the series are absolutely convergent.
B
Only Series I is absolutely convergent.
C
Only Series II is absolutely...
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Which of the following statements is true for the series the summation from k equals 1 to infinity of negative 1 raised to the k power over the product of the quantity 2 times k...
Which of the following statements is true for the series ?
A
The series converges conditionally but not absolutely.
B
The series is divergent.
C
The series cannot be tested because it does...
more
Which one or ones of the following factors in the general term of a series prevent the use of the integral test to test for convergence?
Which one or ones of the following factors in the general term of a series prevent the use of the integral test to test for convergence?
Negative exponents
Oscillating terms
Factorials
A
I...
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Which of the following is not a general term of a convergent p-series?
Which of the following is not a general term of a convergent p-series?
A
B
C
D
Which of the following is the correct application of the comparison test?
Which of the following is the correct application of the comparison test?
A
converges because 0 < < and converges.
B
converges because 0 < < and converges.
C
diverges...
more
Use the graph of the function f of x equals x plus 1 over x to determine which of the following statements is true for the sequence a sub n equals the sequence n plus 1 over n
Use the graph of the function to determine which of the following statements is true for the sequence
A
The sequence is monotonic and bounded.
B
The sequence is bounded but not...
more
Ap Calculus
03/17/21
Area of first and second curves of polar graphs!!!
Find the area of the region that lies inside the first curve and outside the second curve.r2 = 2cos(2θ)r = 1
Ap Calculus
03/17/21
Difficult cardioid/ Polar Graph Equation!!!
When recording live performances, sound engineers often use a microphone with a cardioid pickup pattern because it suppresses noise from the audience. Suppose the microphone is placed 2 m from the...
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Ap Calculus
03/17/21
Polar Curves Intersection Points!!!
Find two points of intersection of the given curves. (Enter your answers from smallest to largest θ.)r = 2 + sin(θ)r = 2 - cos(θ)0 < θ < 2𝜋
Find the value of 3 over 4 minus 9 over 8 plus dot dot dot plus the quotient of the product of negative 1 raised to the n plus 1 power and 3 to the nth power and the quantity 2 raised to the n...
Find the value of
A
B
C
D
The value of the series is not a finite number
Find the value of the summation from n equals 2 to infinity of the quotient of the sum of the quantity 3 to the nth power and 5 to the nth power and the quantity 15 to the nth power
Find the value of Type your answer in the space below and give 2 decimal places. If your answer is less than 1, place a leading "0" before the decimal point (ex: 0.48).
State whether the sequence the set of terms with general term, the quotient of the sine of n and the square root of n converges or diverges, and if it converges, give its limit.
State whether the sequence converges or diverges, and if it converges, give its limit.
A
Diverges
B
Converges to 1 and −1, depending on the value of the numerator
C
Converges to...
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Which of the following statements is true for the sequence with general term a sub n equals the quotient of the product of the quantities negative 1 raised to the n plus 1 power and...
Which of the following statements is true for the sequence with general term , forn = 1, 2, 3…?
A
It is decreasing.
B
It is oscillating.
C
It is convergent.
D
It is bounded above but not...
more
Find the common ratio for the sequence 3, negative 9 over 2, 27 over 4, negative 81 over 8, etc
Find the common ratio for the sequence
A
B
C
D
The sequence is not geometric, therefore there is no common ratio.
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