Q3: Consider Triangle Tank is fall with Water at t=zero. Calculate the Time of Emptying

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: Q4 / Using the fixed-point iteration, determine the root of the function -x² + 1.8x +2.5 = 0, using…

A: image is attached

Q: Q13. Use Variation of Parameters to solve the DE y" – 4y =

A: Given: y''-4y=e2xx

Q: A car's distance in miles from its destination at time t is given by d = 360 - 55t How fast is the…

A: Rate of change of distance travelled from source with respect to time is known as velocity. So,…

Q: Q2: The pilot of an airplane pulls into a steep 45° climb at 300 km/h and releases a package at…

A: given motion is a projectile motion time of flight = 17.754 horizontal distance = 1.046 k

Q: A particle moving along a line has the position s(t) = t* – 162t² at time t seconds. What is the…

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Q: The traffic flow rate past a certain point on a highway is q (t) = 1400 + 2400t – 210t? where t is…

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Q: with

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Q: Q4) find at t= from the following functions, x= cost . y= 1+sint

A: Given that  x=cost  y=1+sint  To find the d^2y/dx^2 at t=π/2

Q: The acceleration of a particle at time t is given by a(t) = 4e2t¸ If the initial velocity was 5, and…

A: We will use integration to first find the velocity and then integrate velocity function to find…

Q: (b)Using any suitable root-finding technique, estimate the fastest time for the velocity to achieve…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A particle moves along the x-axis with velocity given by v (t) = 10t + 12 for time t> 0. If the…

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Q: Use the explicit Euler method to plot the  estimate y(2) if y(t) is the solution to y' = t - y3 with…

A: Given IVP is y'=t-y3, y(0)=1 we have  f(t,y)=t-y3 Here using n=10 steps, Then step size h=upper…

Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2300t – 270r where t is in…

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Q: Q3. A parachutist weighing 192 lb falls from a plane (that is v, = 0). When the parachutist's speed…

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Q: 2. A rock thrown upward has a height given by s(1) = 49t-9.81 where s is in meters and / is in…

A: Use derivative to solve

Q: At time t ≥ 0, the velocity of a body movingalong the horizontal s-axis is v = t2 - 4t + 3. When is…

A: Given velocity of a body:

Q: The position of the particle at time t is given by s(t) = t² – 18t + 80. %3D The particle is moving…

A: The particle will move from left to right if the velocity is positive

Q: The 2011 Tōhoku, Japan earthquake is the newest deadliest earthquake. The power was equal as about…

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Q: Q2. Apply Newton's mcthod to find the solution accurate to within 10* for the following nonlinear…

A: Using Newton Raphson method

Q: Find the speed at time t = 2 seconds (s) of a particle whose positionvector isr(t) = t3i − etj + 4tk

A: Given position vector - r(t) = t3i-etj+4tkDifferentiating with respect to t to find the speed…

Q: ,3 e s-axis is s = -t° + 12t- 45t m. elocity is zero. |

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Q: Find the time(s) that a particle will be a rest if the instantaneous velocity of the particle is…

A: Instantaneous velocity of the particle is given by

Q: Assume the accleration of the object is a(t) = −9.8 meters per second per second. (Neglect air…

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Q: The velocity of an object moving in a straight line is given (in m/s) by v(t) = 2t – 3. Find the…

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Q: The bending moment M of the beam is given by -w(l – x) where w is a constant Determine of x given M…

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Q: equakan ,yy= xe Solve the ditferen fal with initial condition yl0) =-2

A: Given : yy' = xe-y2y0 = -2

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: Q37 Using separation of variable solve the PDE: T Txy Hint, take k as a constant without doing any…

A: We will use basic knowledge from PDE and ODE to solve this question.

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' = 1+ e2y •Y(0) = 1 (h=0.01) .What is the error in…

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Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

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Q: A ball rolls down an inclined plane such that the distance (in centimeters) that it rolls in t…

A: Differentiate the function s(t)=2t3+3t2+4 to find the velocity function.…

Q: the avrage velocity of p(t)=4.5t^2-15t+180 over[1,5]

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Q: Q16: Consider the D.E. (x – 1)³x²y" – 2(x – 1)xy' – 3y = 0. Is xo = 0 an ordinary point? Explain…

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Q: Q4) find at t= from the following functions, x= cost. y= 1+sint

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Q: A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² − 15t…

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Q: Y(s) = %3D

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Q: Q4: Find the length of the curve r= 2-2 sin 0

A: Since you have asked multiple questions but according to our company's guidelines I can only answer…

Q: 5t3 dy Solve the IVP dt y(0) = -1. Show your work and explain thoroughly, when appropriate. y? +…

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Q: To estimate the speed when t = 1, we need to estimate vave = 51.28 – 1.86h whe 1 |× · This yields |×…

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Q: 4 S X the condition that the error for Trapezoidal Rule will be at most 10-6. 9. Given: dx.…

A: The error bound for the Trapezoidal rule is given by the formula E≤b-a312n2maxf''x where a is the…

Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2200t – 390,² where t is in…

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Q: 2. Solve y"(t) + 4/(t) + 5y(t) = -2 cosh t

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Q: For time t > 0, a particle moves along the x-axis, its position is given by the function s(t) = -t3…

A: Given: s(t)=-t3+3t2-6 For a given position function s(t) , velocity and acceleration is defined as…

Q: Q:: A- Solve for X, e2x + 2e* +1 = 9 B- Use the Trapezoidal rule with n=2 to estimate fdx, to find…

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Q: y+1 =xy- all selutions ?

A: Given y+1=xy'-y'2

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15m/s , its height after…

A: Given: If a rock is thrown vertically upward from the surface of Mars with velocity 15m/s, its…

Q: Q13. Use Variation of Parameters to solve the DE y – 4y =

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Q: A particle moves along the x- axis so that its position at the time t is given by x(t) = 21 – 9t²…

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