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3 years ago

Find r(t) if r'(t)=ti+e^tj+te^tk and r(0)=i+j+k

1 answer:

6 0

R(t) = integral of r'(t) = integral of ti + e^tj + te^tk = 1/2t^2i + e^tj + (te^t - e^t)k + c
r(0) = j - k + c = i + j + k
c = i + 2k
Therefore, r(t) = (1/2t^2 + 1)i + e^tj + (te^t - e^t + 2)k

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Need some help with this

kramer

Answer:

Step-by-step explanation:

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a) for a sum of 4, there are only 3 possible outcomes. They are 3,2 2,2 and 1,3

Therefore, the probability of getting a sum of 4 will be

3/36 = 1/12

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Therefore, the probability of getting a sum of 4 will be

4/36 = 1/9

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Therefore, the probability of getting a sum of 6 will be

5/36 = 5/36

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3 years ago

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Anastasy [175]

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Answer 1.1

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3 years ago

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4 years ago

Solve each inequality and graph its solution -2 ≤ n-1 ≤ 5

Novay_Z [31]

Answer:

Part 1)

Part 2)

Part 3)

Part 4)

Part 5)

Part 6)

Step-by-step explanation:

Part 1)

Multiply by -1 both sides

The solution is the interval -------> [-1.817,∞)

The solution in the attached figure N 1

Part 2)

rewrite

Multiply by -1 both sides

The solution is the interval--------> (0.09,∞)

The solution in the attached figure N 2

Part 3)

combine like terms

Adds 8 both sides

The solution is the interval--------> (-∞,6]

The solution in the attached figure N 3

Part 4)

Adds 5 both sides

Multiply by -1 both sides

Divide by 2 both sides

The solution is the interval--------> (-7,∞)

The solution in the attached figure N 4

Part 5)

applying distributive property left side

Subtract 14 both sides

Divide by 7 both sides

The solution is the interval--------> (-∞,-13)

The solution in the attached figure N 5

Part 6)

applying distributive property left side

Adds 117 both sides

Divide by -1 both sides

Divide by 13 both sides

The solution is the interval--------> [-9.31,∞) Answer:

Part 1)

Part 2)

Part 3)

Part 4)

Part 5)

Part 6)

Step-by-step explanation:

Part 1)

Multiply by -1 both sides

The solution is the interval -------> [-1.817,∞)

The solution in the attached figure N 1

Part 2)

rewrite

Multiply by -1 both sides

The solution is the interval--------> (0.09,∞)

The solution in the attached figure N 2

Part 3)

combine like terms

Adds 8 both sides

The solution is the interval--------> (-∞,6]

The solution in the attached figure N 3

Part 4)

Adds 5 both sides

Multiply by -1 both sides

Divide by 2 both sides

The solution is the interval--------> (-7,∞)

The solution in the attached figure N 4

Part 5)

applying distributive property left side

Subtract 14 both sides

Divide by 7 both sides

The solution is the interval--------> (-∞,-13)

The solution in the attached figure N 5

Part 6)

applying distributive property left side

Adds 117 both sides

Divide by -1 both sides

Divide by 13 both sides

The solution is the interval--------> [-9.31,∞)

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3 years ago