微积分.原来学过,现在全部忘记了...只能上网求助了!

微积分.原来学过,现在全部忘记了...只能上网求助了!
Question 1 Differentiate [ (12-3x^2)^3 cos(3x^2 + 4x) ] / [ e^(3x - 12) ln(x – 3x^2)] wrt x.
Question 2 Find dy/dx if (x^3)(y^2) – y^5 = 7
Question 3 Postal regulation limit the size of a package that can be sent by parcel post,by requiring that the sum of the length and the girth be not more than 200 cm.Find the dimensions of a package of the greatest volume with a circular cross section,that can be mailed.Find the volume of this package.
Question 4 Integrate (9x^2 + 4x - 10)/(x^3 –x^2 -2x) wrt x.
Question 5 Integrate (e^x)sinx wrt x.
Question 6 dy/dx + xy = x

_az_f2d_85iv5e6b 1年前已收到2个回答举报

yuyhbeijing2 幼苗

共回答了14个问题采纳率：92.9% 举报

第1题太繁,我用matlab做的.第3题不知道对不对.
1、-18*(12-3*x^2)^2*cos(3*x^2+4*x)/exp(3*x-12)/log(x-3*x^2)*x-(12-3*x^2)^3*sin(3*x^2+4*x)*(6*x+4)/exp(3*x-12)/log(x-3*x^2)-3*(12-3*x^2)^3*cos(3*x^2+4*x)/exp(3*x-12)/log(x-3*x^2)-(12-3*x^2)^3*cos(3*x^2+4*x)/exp(3*x-12)/log(x-3*x^2)^2*(1-6*x)/(x-3*x^2)
2、dy/dx=(3*x^2*y^2)/(5*y^4-x^3*y)
3、邮包的底面半径为21.23cm,高为66.67cm,最大体积为94361.88 cm^3
4、5*lnx+17*ln(x-2)/3-5*ln(x+1)/3+c
5、e^x*(six-cox)/2+c
6、y=c*e^(-x^2/2)+1

1年前

penelnym 幼苗

共回答了2个问题举报

1、-18*(12-3*x^2)^2*cos(3*x^2+4*x)/exp(3*x-12)/log(x-3*x^2)*x-(12-3*x^2)^3*sin(3*x^2+4*x)*(6*x+4)/exp(3*x-12)/log(x-3*x^2)-3*(12-3*x^2)^3*cos(3*x^2+4*x)/exp(3*x-12)/log(x-3*x^2)-(12-3*x^2)^3*cos(3*x^2+...

1年前

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