An object is moving in horizontal direction according to the equation () =r3– 3r? – 9t + 1· At what time interval is the object moving to the left?

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 1600 – 0.005x2 - 0.01y?,…

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Q: dy Q3. Solve the DE da +y - y? provided that y1 = - is one known solution of the equation.

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Q: A basketball player shoots a free throw from the foul line.The equation of the path it will travel…

A: The given equation of the path is h=-4.9t2+10t+1.2 Find the derivative of the function…

Q: dx x4 + 4

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Q: Ex. (12) Solve [D2+3D -4]y=2sin (5x) Sals-

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Q: d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

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Q: (b) Miquel is driving at a constant speed. He then slows down to pass an accident. After passing it,…

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Q: At noon one day, AJ decided to follow a straight course in a motor boat. After one hour of making no…

A: Given: AJ decide to follow a straight course  in a motor boat. The boat was 5 miles east and 12…

Q: Solve (D² – 3D + 2) y = 2e3 +4 sec (e-)

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Q: al equation - y² , y(1) = 2 is hod with step siz nd off to 2 place

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Q: If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after tseconds is…

A: Since the ball hits the ground therefore y=0.

Q: Solve the D.E 9+4y = Sec2X %3D

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Q: A virus is believed to be spreading through a sheep farm according to that equation N=…

A: The given equation for the spread of the virus in sheep is given by N=45011+249e-0.1t where t is the…

Q: A woman bails out of an airplane at an altitude of 10,000 ft, falls freely for 20 s, then opens her…

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Q: The equation y ' y? - 1 is separable

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Q: F. Solve the following by Substitution Method. dy = (-5x + y)² – 4 dx 2.

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Q: A baseball that is thrown in the air follows a trajectory of                  h(t)=−4t2 +12t+6,…

A: When the ball hits the ground then h(t)=0 So the equation becomes  −4t2 +12t+6=0

Q: Solve the equation 4cos2 x = 3 on the interval [0, 2ᴫ).

A: To solve, 4cos2x=3      on the interval [0,π)             ⇒cos2x=34⇒cosx=±34⇒cosx=±32…

Q: (3e3ty− 2t)dt + 33tdy = 0

A: The differential equation is given as (3e3ty-2t)dt+e3tdy = 0 Compare it with Mdt+Ndy = 0 then M =…

Q: Suppose that a kitchen appliance company’s monthly sales and advertising expenses are approximately…

A: Given equation - xy-6x+20y = 0            ...............(1)Given that - x = thousands of dollar…

Q: Solve the equation for x, where x is restricted to the given interval. csc 4x, for x in -.0) (0 8

A: Given, y=14csc4x for x in -π8,0)∪(0,π8  Take y=14csc4x Multiply with 4 on both sides, we get…

Q: to the equation (D²-1)y(x) = x'-x+1 y(x) = qe" +ce" +x-5x+1 -t yx)=ge" +ce --5x-1 - y(x)=qe'…

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Q: A golfer's tee shot follows a path given by y = 96t − 16t2, where y is the height of the ball (in…

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Q: Solve the equation: 8d3y/dx3 -5dy/dx+3y x3, for x, with initial values of (d3y/dx3 (0) = 4) and y…

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Q: With y(5) = 0, solve y′ = e−y(2x − 4)(show all steps)

A: This question can be solved by variable separable method. In variable separable method, separate the…

Q: 8. 6cos x - 15cosx - 9 = 0

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Q: Suppose that z = 3 – i is a root of the equation - ax" + bx + cx + d = 0, a,b, c, d E R

A: given one root of the equation ax7+bx4+cx+d=0. a,b,c,d∈R is z= 3-i we know that complex roots occurs…

Q: The height above ground of an object movingvertically is given bys = -16t2 + 96t + 112,with s in…

A: Given: st=-16t2+96t+112 for finding velocity at given point, first we find time where position is…

Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x³ ,33 dx

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Q: solve for y in terms of t or x, as appropriate.

A: given: lny=-t+5 we have to solve for y in terms of t or x, as appropriate

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: To find the distance between objects.

Q: 4. y' + 4y = x?

A: Given information: y' +4y=x2

Q: Determine the r values for which the f unction y(x) is solution of the x² + 1 equation y – 2xy? = 0

A: We have to find

Q: The position of a moving object is  s(t)= t^3 -3t^2-45t-1 (t)meters to the right of 0 in t seconds.…

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Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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Q: Kevin shot an arrow straight upward with a velocity of 80 meters per second from an altitude of 20…

A: Kevin shot an arrow straight upward with a velocity of 80 meters per second from an altitude of 20…

Q: Q20) Two boats leave the same port at the same time, with boat A traveling north at 15 knots…

A: Let's find distance changing between two boat.

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x3 dx

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Q: B- Solve the D.E.: y--e* = 0, y(1)=1 .

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Q: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

A: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: Distance

Q: The position of a wild rhinoceros can be modeled by the following equation: x(t) - 5 t2 - 6 t + 61.6…

A: To find: The speed of rhinoceros at t=3.3 second. Given: The position of wild rhinoceros is…

Q: Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. %3D fom

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Q: Q13. Use Variation of Parameters to solve the DE e2x y" – 4y : - %3|

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Q: A population of bacteria is growing according to the equation P(t) = 1150e.18t, Estimate when the…

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