15t2 ,-3t-2, te²" 1 + 13' Let H =

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Q: integral -{cay,a> 91-) Evoluate te nplhas)ss - 24x<0, Ocyc1, -16241} . where

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Q: 3. tet-lu(t – 1) 4. t cosh 2t 5. (t – 2)²et-!u(t – 2) 6. te-'u(-t)

A: To find the Laplace transform of the given functions.

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A: Given that 7 pounds is required to stretch 0.2 ft

Q: dz. 2ª + 9 tegrate

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Q: Differentiate y = arcsin (2r2) 4.r VI+ 4r4 Option 1 None of these VI- 44 Option 2 Option 3 4.

A: As we know that; The chain rule; fgx'=f'gx·g'x The Power Law; ddxxn=nxn-1 And ddxarcsin(x)=11-x2…

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Q: What is the integral of question 23 and why is the answer 0?

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A: To solve the following problem

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Q: What constant acceleration is required to increase the speed of a car from 20 mi/h to 45 mi/h in 5…

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Q: 3. If a person is running west in downtown Austin at 2.5 km/hr relative to the ground and from his…

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Q: A 500-g ball at the level ground is kicked at a velocity of 30 m/s at an angle 25 degrees from…

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Q: he measurement of the radius of the end of a log is found to be 20 inches, with a possible error…

A: Given that: Radius of log, r=20 inError in measuring radius, dr=18 in

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

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Q: Provide 3 examples of the application of derivates (Newton's method).

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Q: Sec-S 2 1 TanOLO

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Q: 6. A soccer ball is kicked at an angle of 60 from the ground. If the velocity of the ball is 110…

A: Consider the given angle as 60°

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Q: When a particle is located at a distance x feet from the origin, a force of x +2x pounds acts on it.…

A: We have the given Force function F(x) = x2 + 2x where x is the distance in feet from the origin.…

Q: A river 100 ft wide is flowing north at w feet per second. A dog starts at (100, 0) and swims at vo…

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Q: 3. A projectile is fired from ground level with an initial velocity of 35 m/s at an angle of 35°…

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Q: A river 100 ft wide is flowing north at w feet per second. A dog starts at (100, 0) and swims at vo…

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Q: The force on a particle is described by 5x³ – 5 at a point x along the x-axis. Find the work done in…

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Q: Two particles have positions at timet given by the equations x, =t -t and x, =6t2 -t°. Find the…

A: Given two position functions x1=t3-t and x2=6t2-t3 as a function of time t To find the velocities…

Q: Bring out the importance of Frii's formula.

A: Answer: For the given data

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Q: Jz sin 0 do 2

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A: F(x) = x2 +2x and the limits are x =1 to x =3.

Q: Suppose a particle has velocity given by v(t) = sin(t). What is the net displacement of the particle…

A: GIVEN DATA : Velocity of  the particle v(t)=sin(t)        TO FIND : Displace of the particle on 0,…

Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

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Q: TWO CARS LEAVE AT THE SAME POINT AT THE SAME TIME IN OPPOSITE DIRECTION IF THE CARS MOVE AT RATES OF…

A: TWO CARS LEAVE AT THE SAME POINT AT THE SAME TIME IN OPPOSITE DIRECTION IF THE CARS MOVE AT RATES OF…

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Q: Consider that two students (Student A and Student B) are working on a joint project. Each student…

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Q: J7 -dz 21-8

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Q: A baseball diamond has the shape of a square with sides 90 feet long.  Suppose that player A is the…

A: Use Pythagoras theorem

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Q: What is the antiderivative of sec2(5x)dx from pi/20 to -pi/20?

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Q: dt 4e -et

A: To evaluate the integral: ∫dt4e-t-et Solution: Given integral can be written as:…