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marta [7]
3 years ago
8

What tests are used to determine the radius of convergence of a power series? A. Divergence TestB. Root Test C. Comparison Test

D. Ratio Test E. Integral Test F. Alternating Series Test G. Limit Comparison Test
Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.

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Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.
krok68 [10]

Answer:

  • Josh's book lands first
  • Ben's lands about 0.648 seconds later

Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

  h(t) = -16t² +60t +40

We want to find t when h(t) = 0, so we're looking for the solution to ....

  0 = -16t² +60t +40

Using the quadratic formula, we find the positive value of t to be ...

  t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277

__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

__

The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

Josh's book reaches the ground first, by about 0.648 seconds.

3 0
3 years ago
Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. T
Romashka-Z-Leto [24]

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

                        1 ft --------------- 12 in

                         2 ft --------------- x

                         x = (2 x 12) / 1

                         x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

                       24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

                       24 x 8 = 192 pretzels

8 0
3 years ago
How does the numbers of zeros in the product of 8 and 5000 compare to the number of zeros in the factors?
o-na [289]
If product means to multiply than
5000*8= 40000
Answer: There is one more zero in the product.
6 0
3 years ago
3. The following sets are not equal - An (BUC) and AU(BnC) Construct a universe U and non-empty sets A, B, and C so that the abo
yarga [219]

Answer:

1.U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

2.U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

Step-by-step explanation:

We are given that A\cap (B\cup C) and A\cup (B\cap C)

are different sets

1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same

Suppose U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

B\cap C=\phi

B\cup C={2,3,4,5}

A\cap (B\cup C)={2}\cap{2,3,4,5}={2}

A\cup (B\cap C)={2}\cup\phi={2}

Hence, A\cap (B\cup C)=A\cup (B\cap C)

2.We have to construct a universe set U and non empty sets A,B and C so that  above sets are in fact different

Suppose U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

B\cap C=\phi

B\cup C={2,3,4}

A\cup (B\cap C)={1,2}\cup \phi={1,2}

A\cap (B\cup C)={1,2}\cap {2,3,4}={2}

Hence, A\cap (B\cup C)\neq A\cup (B\cap C)

3 0
3 years ago
In details<br> Don't spam
Scrat [10]

Answer:

a = -4.

Step-by-step explanation:

25(√5)^a * (√5) ^3  = 5√5

25*5^a/2 * 5^3/2 = 5*5^1/2

25*5^a/2  = 5*5^1/2 / 5^3/2

25*5^a/2  = 5^1 *5^1/2 / 5^3/2

25*5^a/2 = 5^3/2 / 5^3/2 = 1

5^a/2 =  1/25 = 5^-2

The bases are equal, so

a/2 = -2

a = -4.

7 0
3 years ago
Read 2 more answers
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