# Posts by enigma

Total # Posts: 15

math
(-1,1) is classified as a saddle point because the value it gives after the second derivative test is less than 0 therefore the value is inconclusive. While (0,1) is classified as a local maximum because the value it gives after the second derivative test is a negative.

math
i apologise if that is the case. it's just that i have no idea where to start. thank you for your time.

math
A function is given by, f(x,y) = x^4 - y^2 - 2x^2 + 2y - 7 Using the second derivative test for functions of two variables, classify the points (0,1) and (-1,1) as local maximum, local minimum or inconclusive.

math
thanks for helping me. i was stuck trying to solve this.

math
A function of two variables is given by, f (x,y) = 4x^3 + 7xy^4 - 5y^2 + 8 Determine, fxx + fyx at x = 4.25 and y = 3.69, giving your answer to 3 decimal places.

math
A function of two variables is given by, f(x,y) = e^2x-3y Find the tangent approximation to f(0.989,1.166) near (0,0), giving your answer to 4 decimal places.

math
A function of three variables is given by, f (x,y,t) = x3y2sin t + 4x2t + 5yt2 + 4xycos t Find ft (3.44,0.58,8.1) giving your answer to 3 decimal places.

math
after re-calculating the euler-midpoint method. the value I got was 1.8172 while using normal euler method is 1.968. however, I can't seem to find the exact solution to minus off the 1.8172 value to get the global error.

math
after calculating the y' and y'' values. the values come up be 2.7731947639 which when rounded to 5 decimal places gives the answer as: 2.773195

math
An initial-value problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Euler-midpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, to find the exact value of y(0.1). Hence, ...

math
Consider the initial value problem, f(x,y) = y(18.06 - y), y(0) = 12. The exact solution of the problem increases from y(0) =12 to y = 18.06 as x increases without limit. Determine the minimum upper bound of h for the classical 4th-order Runge Kutta method to be absolutely ...

math
An initial-value problem is given by the differential equation, f(x,y)=x(1-y^2), y(1)=0.07 Use the Euler-trapezoidal method with a step-size h = 0.1, to obtain the approximate value of y(1.1). Give your answer to 4 decimal places.

math
An initial-value problem is given by the differential equation, f(x,y)=-20xy^2, y(1)=1. Use the classical fourth-order Runge-Kutta method with a step-size of h=0.02, to obtain the approximate value of y(1.02). Give your answer to 6 decimal places.

math
i was going around in circles and putting the wrong values. thank you for your help. thanks.

math
A function is given by, f(x)=e^-3x write down the third-order Taylor approximation for f(x) about x =0. Hence, evaluate f(0.258) giving your answer to 4 decimal places.

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