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26 апреля 2020 г. 8:53:31
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Find the exact length of the polar curve r = e^(2 theta) over [0, 2 pi].Find the exact length of the polar curve r = e^(2 theta) over [0, 2 pi].Find equation of tangent line to graph y = x^2 at (2, 4). GraphFind equation of tangent line to graph y = x^2 at (2, 4). GraphFind solution of differential equation dy/dx that satisfies initial condition y(0) = -3Find solution of differential equation dy/dx that satisfies initial condition y(0) = -3Determine whether series converges or diverges (ln n)/(sqrt(n^3)). Integral Test. By PartsDetermine whether series converges or diverges (ln n)/(sqrt(n^3)). Integral Test. By PartsUse separation of variables to solve initial value problem dy/dx =x/y, and y =2, when x =1Use separation of variables to solve initial value problem dy/dx =x/y, and y =2, when x =1Find polar equation of curve that is represented by Cartesian equation 4y^2 =xFind polar equation of curve that is represented by Cartesian equation 4y^2 =xDetermine whether series converges or diverges e^n/(1 + e^(2n)). Use appropriate testDetermine whether series converges or diverges e^n/(1 + e^(2n)). Use appropriate testFind the second derivative of function y = cos^3 x.Find the second derivative of function y = cos^3 x.Label amplitude, phase shift, period for function y = 4 cos(x + pi/4).Label amplitude, phase shift, period for function y = 4 cos(x + pi/4).When tangent line at (m, n) on hyperbola x^2/4 -y^2 =1 passes through point (0, -2), find m times nWhen tangent line at (m, n) on hyperbola x^2/4 -y^2 =1 passes through point (0, -2), find m times nEvaluate definite integral ( sin sqrt(x))/(sqrt(x)) dx over [pi^2/9, pi^2/4] method of substitutionEvaluate definite integral ( sin sqrt(x))/(sqrt(x)) dx over [pi^2/9, pi^2/4] method of substitutionDetermine the convergence or divergence of the series n^2 e^(-n). Ratio TestDetermine the convergence or divergence of the series n^2 e^(-n). Ratio TestEvaluate definite integral (tan^2 x) dx over [0, pi/3] using Fundamental Theorem of CalculusEvaluate definite integral (tan^2 x) dx over [0, pi/3] using Fundamental Theorem of CalculusDifferentiate the function y = e^(ax^3). Natural exponential functionDifferentiate the function y = e^(ax^3). Natural exponential functionFind the indefinite integral for 3x^2 e^(2x) dx. Integration by PartsFind the indefinite integral for 3x^2 e^(2x) dx. Integration by PartsFind value of constants a and b of limit as x approaches 1 of (x^2 + ax +b)/(x-1) =5Find value of constants a and b of limit as x approaches 1 of (x^2 + ax +b)/(x-1) =5Use washer cross sections to find volume of solid revolving region about x axis, y = x+3, y = x^2 +1Use washer cross sections to find volume of solid revolving region about x axis, y = x+3, y = x^2 +1Solve for all values of x when 2 sin x +1 =0 over  [0, 360]Solve for all values of x when 2 sin x +1 =0 over [0, 360]Determine if sequence converges or diverges, if converges find limit {(cos^2 n)/(2^n)}Determine if sequence converges or diverges, if converges find limit {(cos^2 n)/(2^n)}Show that graph of r = 4 sin theta is a circle by converting from polar to rectangular equationShow that graph of r = 4 sin theta is a circle by converting from polar to rectangular equationConvert polar equation to rectangular equation r= 6/(2 - 3 sin x).Convert polar equation to rectangular equation r= 6/(2 - 3 sin x).
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