A particle is moving with acceleration a(t) = 18t + 6. its position at time t = 0 is s(0) 15 and its velocity at time t 0 is v(0) 2. What is its position at time t = 15? =

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Q: Question Evaluate the Integral ff (xy³ + 2xy) dA in the bounded region, D, where D is defined as D…

A: Please see the below picture for detailed solution.

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A: here ln(5x)2 can be written as  ln(5x)2=2ln(5x) ln(5x)2=2(ln5+lnx) now we can write as…

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A: The given differential equation is; y''-y'-2y=0, y(0)=0, y'(0)=1

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A: formual for newton's formula is  xn+1=xn-f(xn)f'(xn)dxndx=nxn-1f(x)=x3+x+6f'(x)=3x2+1

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Q: - f(x)=√x, [0,4]

A: formula for average value is  favg=1b-a∫abf(x)dxf(x)=x∫xndx=xn+1n+1+c

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Q: 62. 63. -3m -म y Af 3m 5m X

A: We know y=AsinBx-C+D⇒A=Amplitude ⇒C=Phase shift ⇒D=Vertical shift ⇒Time period T=2πB

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Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

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Q: Find the roots of (D4 + 4)y = 0 O +2i, ±2i + 2 O b. 2+2i, ti Oc1ti, - 1 ti Od-1 ti, 2+2i O e. none

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Q: ·[.F. F. dr where F = (-4z, - 3y, 2x), and C' is given by Evaluate r(t) = (t, sin(t), cos(t)), 0≤ t…

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Q: In Exercises 61-66, find an equation for each graph. 61. AA -2" 2 4m 67

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Q: a tree cast shadow 45 ft long compared to a yard stick that cast a shadow 2 ft long. write three…

A: a tree cast shadow 45 ft long compared to a yard stick that cast a shadow 2 ft long. write three…