Calculus and Above

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Use the definition of the derivative to find f' (x) of f (x)
Use the definition of the derivative to find f ' (x) of f (x) = sin xy + cos π y^2 Find f ' (x) of f(x) = x^3 - 3x^2 + 4 / x^2 Find the derivative g(t) = √ 1 / t^2 - 2 Find dy over dx by implicit diff… read more
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Find the series at x=0 of the function f(x)=e^(-5x) Find the
Find the Taylor series at x=0 of the function f(x)=e^(-5x) Find the Taylor series at x=0 of the function f(x)=5sin(-x) Find the Taylor series at x=0 of the function f(x)=1/(2-x) Find the Taylor series… read more
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Differential Equations First Order Linear Systems Answers
Differential Equations First Order Linear Systems Answers as exact values 1. Solve the following system: x' = 5x + y, x(0) = -1 y' = -17x + 3y, y(0) = -6 x(t) = y(t) = 2. Solve the following system: x… read more
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Differential Equations First Order Bernoulli Solve the following
Differential Equations First Order Bernoulli Solve the following initial value problem dy/dx + 9y = -5cos(x)y^ 4 y(0) = 4 Solve the following initial value problem dy/dx + y = (-8x - 6)y^4 y(0) = 3 So… read more
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Differential Equations First Order Exact Solve the following
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Classify whether the following equations are exact, linear,
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I need help to solve two homework questions by 8am and I must
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find the general solution f (dy/dx)-2(dy/dx)+y=x*e^x this
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please answe this one using differential equations 1) -2y/x^2
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Hello, please can you help with this? The question is concerned
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Michelle
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A model for the shape of a tsunami, or tidal wave, is given
A model for the shape of a tsunami, or tidal wave, is given by dW/dx = W*sqrt(4-2W), where W(x) > 0 is the height of the wave expressed as a function of its position relative to a point offshore. 1… read more
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Draw a direction field for each differential equation and sketch
Draw a direction field for each differential equation and sketch an approximate solution curve passing through each of the given points. 1) y' = x, (i) y(0) = 0, (ii) y(0) = -3 2) dy/dx = 1/y. (i) y(0… read more
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The rate of ecay of a strain of bacteria is proportional to
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xxxxxxxxxxxx Again struggling with differentiation & integration
xxxxxxxxxxxx Again struggling with differentiation & integration (however I think I'm making simple mistakes, rather than not grasping the question) Differentiate t = 3y^6 + 4/5y^2 – (^4)√y^3 + 2 (I d… read more
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1. A rocket is modelled by a particle that moves along a vertical
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1. Solve the problem dy/dx = sin(4x) / 3+cos(4x) y=5
1. Solve the problem dy/dx = sin(4x) / 3+cos(4x) y=5 when x=0 2. (i)Show that ∫ 2e^2x – 5 / (e^2x – 5x) ^2/3 dx = 3(e^2x – 5x)^1/3 + c where c is the arbitrary constant (ii)Hence find, in implicit for… read more
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