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5 сентября 2021 г. 6:16:58
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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].Write polar equation of conic with focus at origin: Hyperbola, eccentricity 1.5, directrix y=2Write polar equation of conic with focus at origin: Hyperbola, eccentricity 1.5, directrix y=2Find 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 the sum of the series {1- ln 2 + (ln 2)^2/2! - (ln 2)^3/3! + …}. Use Maclaurin series tableFind the sum of the series {1- ln 2 + (ln 2)^2/2! - (ln 2)^3/3! + …}. Use Maclaurin series tableFind 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) = -3Find 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 =xFind derivative of y = sech x(1- ln sech x) with respect to x. Hyperbolic functionsFind derivative of y = sech x(1- ln sech x) with respect to x. Hyperbolic functionsFind the derivative for h(x) = ln(cosh x). Hyperbolic functionsFind the derivative for h(x) = ln(cosh x). Hyperbolic functionsDetermine 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 testDetermine if series converges or diverges 1/(n(1+ (ln n)^2). The Integral TestDetermine if series converges or diverges 1/(n(1+ (ln n)^2). The Integral 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 substitutionEvaluate 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]
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