Ex(4) A particle moves from point (-2,5) to y-axis in such a way that Ay = 3Ax. Find its new coordinates and the moving distance. Solution : H. W.

Q: An insect is in a toxic environment. The level of toxicity is given by T(x,y)= 2x* – 4y° If the…

A: Tx=0⇒x=0Ty=0⇒y=0Using D-TestD=TxxTyy-[Txy2]D=0 at (0,0)   T(x,y) is minimum

Q: A particle moves on a vertical line so that its coordinate at time t is y = t – 12t + 3, t 2 0,…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Q1) Y"+5y"+9y'+5y=3e*2x solve the equation in method variation of parametric

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Q: A particle moves along the curve *= 21² , y = t² – 4t and = = 31 – 5 where t is the time . Find the…

A: Given: Position vector is given as, r→=2t2i^+(t2-4t)j^+(3t-5)k^ The objective is to find the…

Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

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Q: A particle follows the trajectory x(t) = t3 + 2t, y(t) = 20t – t2 with t measured in seconds and…

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Q: A particle moves vertically (in inches) along the yaxis according to the position equation s(t) = -…

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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: he position of the particle at timet is given by s(t) =ť² – 4t + 3. The particle is moving from…

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Q: A heat-seeking particle is located at the point P(6,4) on a metal plate with temperature at (x, y)…

A: Given, a heat seeking particle is located at the point P(6, 4). The temperature function is given…

Q: A particle follows the trajectory x(t) = 3 + 2t, y(t) = 10t – t2 with t measured in seconds and…

A: Given: xt=13t3+2tyt=10t-t2

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

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Q: Q3 Find dyldx on the graph y secx + y = cos2x at point (1, 2).

A: We have to find the derivative of above function at (1,2) Please see the explanation below

Q: A particle moves on the x-axis with velocity given by v(t) = 3t4 − 11t2 + 9t − 2 for −3 ≤ t ≤ 3 .…

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Q: The position of the particle at time t is given by s(t) = t² – 6t + 8. The particle is moving from…

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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: give the velocity y = ds/dt and initial position ofan object moving along a coordinate line. Find…

A: The given differential equation is dsdt=32t-2 with initial condition s0.5=4. integrate both sides of…

Q: The position of the particle at time t is given by s(t) = t2 – 16t + 63. The particle is moving from…

A: t=10.0 seconds

Q: The position of the particle at time t is given by s(t) = t² – 8t + 15. %3D The particle is moving…

A: Concept used particle will move fromleft to right when velocitydvdtbecome positive.dsdt>0

Q: The position of the particle at time t is given by s(t) = t2 - 8t + 15. The particle is moving from…

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Q: (A)A particle is moving in a straight line according to the formula s(t) = 2t³ – 9t² + 12t – 15 .…

A: To determine: A particle is moving in a straight line according to the formula:…

Q: A particle moves on a vertical line so that its coordinate at time t is y = t³ – 12t + 3,t > 0,…

A: Speeding up and slowing down is depend on the acceleration of particles so first find the…

Q: A particle moves along the x-axis with velocity given by v(t)=3t^2-6tv(t)=3t2−6t for time t\ge…

A: Answer and explanation is given below..

Q: dy Find for the curve x-2.x'y-20y 2 at point (-2,1). de

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Q: At time t sec, the positions of two particles on a coordinate line are s1 = 3t3 - 12t2 + 18t + 5 m…

A: To find velocity we have to differentiate the distance s with respect to t.

Q: nen does the particle reach a velocity of 137 m/s if its position function is given by:…

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Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 4t - 3 mis over…

A: Given velocity of particle is vt=4t-3. To find the dispalcement of particle over time interval 2,5.…

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: A particle moves along the x−axis according to the equation x(t)=2t3+6t2−6t+1, where time t≥0 and is…

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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: Q: Find the point on the curve 4x' +a'y = 4a', 4< a < & that is farthest from the point (0,-2).

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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: An element is moving along a straight line so that v ft/sec is the velocity of the particle at t…

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Q: Q-1-At time t, the position of a body moving along the s - axis is t4 9. S = - 2t3 2t3 +t2 + 5t -- 4…

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

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

A: Given query is to find the the distance when velocity is same.

Q: An automobile, traveling at a constant rate, starts at home at ime t = 0 and ends up 10 hours later…

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Q: A heat-seeking particle is located at the point (2, 3) on a flat metal plate whose temperature at a…

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Q: at P(2,0) Find Tate of change in the direcetion of いINQW when Q(4,-2) Find the direction P(2 Jot…

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Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 12t – 6 for timet > 0. If the…

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Q: The position of the particle at time t is given by s(t) = t – 6t + 8. %3D The particle is moving…

A: The particle moves to right if it's velocity is positive .

Q: A particle moving on a line is at position x(t)=t3−9t2+24t−5 at time t where t is in seconds. At…

A: The given function for position of an object is where t is the time in seconds. Now, to find points…

Q: An insect is in a toxic environment. The level of toxicity is given by I(x,y)= 2x* – 4y If the…

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Q: If s(t) = 2t3 – 3t2 – 12t + 8represents the %3D - position of a particle travelling along horizontal…

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

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Q: S. 3 z dz where C is straight line segment from i to -2 - 3i

A: We put z=x+iy And dz=dx+idy

Q: The position of a body moving along s-axis at any time 't is given by s(t) = 4t- 12t, then the…

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Q: At time t seconds, the center of a bobbing cork is 2sin(2t) centimeters above or below water level.…

A: ft=2sin2t Now velocity is the derivative of position with respect to time. So differentiating…