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bramble

bramble

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bramble
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  • Remember that the Power Rule of Derivatives states that the derivative of a*x^n with respect to x equals: a*n*(x^(n-1)). Also, since a constant has a degree of x^0, the derivative of any constant is 0 by the Power Rule. So, using the rule, f'(t)=…
  • v̇ = dv/dt = 0.05 × v Therefore dv/v= 0.05 × dt. Integrating both sides: ln(v) = 0.05 × t + c' v = C.℮^(0.05 × t) Now at t=0, v = 10 m/s therefore C=10 and at t=4 v = 10 × ℮^(0.05 × 4) = 10×℮^(0.2) = 12.214 m/s The particle's linear accelera…
  • v̇ = dv/dt = 0.05 × v Therefore dv/v= 0.05 × dt. Integrating both sides: ln(v) = 0.05 × t + c' v = C.℮^(0.05 × t) Now at t=0, v = 10 m/s therefore C=10 and at t=4 v = 10 × ℮^(0.05 × 4) = 10×℮^(0.2) = 12.214 m/s The particle's linear accelera…
  • v̇ = dv/dt = 0.05 × v Therefore dv/v= 0.05 × dt. Integrating both sides: ln(v) = 0.05 × t + c' v = C.℮^(0.05 × t) Now at t=0, v = 10 m/s therefore C=10 and at t=4 v = 10 × ℮^(0.05 × 4) = 10×℮^(0.2) = 12.214 m/s The particle's linear accelera…
  • Remember that the Power Rule of Derivatives states that the derivative of a*x^n with respect to x equals: a*n*(x^(n-1)). Also, since a constant has a degree of x^0, the derivative of any constant is 0 by the Power Rule. So, using the rule, f'(t)=…
  • Remember that the Power Rule of Derivatives states that the derivative of a*x^n with respect to x equals: a*n*(x^(n-1)). Also, since a constant has a degree of x^0, the derivative of any constant is 0 by the Power Rule. So, using the rule, f'(t)=…
  • Remember that the Power Rule of Derivatives states that the derivative of a*x^n with respect to x equals: a*n*(x^(n-1)). Also, since a constant has a degree of x^0, the derivative of any constant is 0 by the Power Rule. So, using the rule, f'(t)=…
  • Remember that the Power Rule of Derivatives states that the derivative of a*x^n with respect to x equals: a*n*(x^(n-1)). Also, since a constant has a degree of x^0, the derivative of any constant is 0 by the Power Rule. So, using the rule, f'(t)=…
  • Remember that the Power Rule of Derivatives states that the derivative of a*x^n with respect to x equals: a*n*(x^(n-1)). Also, since a constant has a degree of x^0, the derivative of any constant is 0 by the Power Rule. So, using the rule, f'(t)=…