DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral fe-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. L{f(t)} = = to find {f(t)}. (Write your answer as a function of s.) f(t) = te7t £{f(t)} = (s > 7)

Q: 10

A: To simplify 35+710.

Q: 4. 3. 4, 8.

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Q: 5. 13 12 9.

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Q: dx 0 4-x

A: To evaluate the integration.

Q: 14. 10 19

A: 14 Consider the sine angle property is, sinx=perpendicularhypotenuse

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Q: 6.4 3

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Q: 11. 10 22

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Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A: We need to perform left endpoint approximation.

Q: Alt 8. 5. 14.

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Q: d) | 4f(x)| dæ =

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Q: 18. 32 13

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Q: 6.1 10

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Q: %3D 6.

A: Please see the explanation below

Q: 6. 6. х 14

A: Given: 9x=x14

Q: 6.3 3

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Q: 6

A: In the question it is asked to find the angle x° for the triangle shown in the figure.

Q: 6. 6.

A: If two secants are drawn to a circle from one exterior point, then the product of the external…

Q: Is the set closed under addition? If not, explain why. {2, 4, 6, 8, ...}  a) Yes, this set is…

A: The set is closed under addition if the sum of any two elements is always in the set.

Q: 5.0 5.2n=1 no.2

A: The series ∑n=1∞1n0.2. We have to check whether it is convergent or divergent.

Q: 60.91-2.856

A: We want to find the value  60.91-2.856=?

Q: 16. 15 11.3

A: We know that, cos(x)=adjacent/hypotenuse.

Q: 3. 18

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Q: 7.2-2

A: Given:   x y 644 623 493 472 532 492 462 661 565 540   502   549   518

Q: 10 4 2.

A: Solution-

Q: Identify the postulate for each drawing

A: Identify the postulates for each drawing

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Q: 6. 8.

A: Pythagorean Theorem:                  Pythagoras theorem states that  "In right angled triangle ,…

Q: 12 8. 4

A: Given, 12/4 - 8/5 Taking LCM we have, LCM= 4*5= 20

Q: Approximate the area under the curve y = x² from x = with 4 subdivisions. 1 to x = 3 using a Right…

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