跪求微积分和代数等类数学题的英文解题模板或例子
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跪求微积分和代数等类数学题的英文解题模板或例子
请求微积分和代数等类数学题的英文解题模板或例子,越多越好,最好是有完整的英文答题卷,
有考试要求用英文作答,考题都是微积分线性代数以及概率论数理统计,所以各位有答题模板的望告知谢谢!
请求微积分和代数等类数学题的英文解题模板或例子,越多越好,最好是有完整的英文答题卷,
有考试要求用英文作答,考题都是微积分线性代数以及概率论数理统计,所以各位有答题模板的望告知谢谢!
![跪求微积分和代数等类数学题的英文解题模板或例子](/uploads/image/z/18241155-27-5.jpg?t=%E8%B7%AA%E6%B1%82%E5%BE%AE%E7%A7%AF%E5%88%86%E5%92%8C%E4%BB%A3%E6%95%B0%E7%AD%89%E7%B1%BB%E6%95%B0%E5%AD%A6%E9%A2%98%E7%9A%84%E8%8B%B1%E6%96%87%E8%A7%A3%E9%A2%98%E6%A8%A1%E6%9D%BF%E6%88%96%E4%BE%8B%E5%AD%90)
你是要高等微积分嘛?
Accurate calculate way,
Calculus
例题:
consider the curve given by y的平方 =2+xy
(1) show that dy/dx = y/(2y-x)
(2) find all points (x,y) on the curve where the line tagent to the curve has slope 1/2
(3)show that there are no points (x,y) on the curve where the line tangent to the curve is horizontal
(4) let x and y be functions of time t that are related by the equation y的平方 =2+xy. at time t=5, the value of y is 3 and dy/dt=6. find the value of dx/dt at time t=5
答案:
(1)
y的平方 =2+xy
2y(dy/dx) =x(dy/dx)+y(1)
(2y-x)(dy/dx)=y
dy/dx = y/(2y-x)
(2)
when dy/dx = 1/2
y/(2y-x) = 1/2
2y=2y-x
x=0
y的平方 =2+(0)y
y^2=2
y=(+/-)根2
(3)
Show when dy/dx = 0
no solution
(4)
prove 2y*dy/dx=y+x*dy/dx
so dy/dx=y/(2y-x)
Accurate calculate way,
Calculus
例题:
consider the curve given by y的平方 =2+xy
(1) show that dy/dx = y/(2y-x)
(2) find all points (x,y) on the curve where the line tagent to the curve has slope 1/2
(3)show that there are no points (x,y) on the curve where the line tangent to the curve is horizontal
(4) let x and y be functions of time t that are related by the equation y的平方 =2+xy. at time t=5, the value of y is 3 and dy/dt=6. find the value of dx/dt at time t=5
答案:
(1)
y的平方 =2+xy
2y(dy/dx) =x(dy/dx)+y(1)
(2y-x)(dy/dx)=y
dy/dx = y/(2y-x)
(2)
when dy/dx = 1/2
y/(2y-x) = 1/2
2y=2y-x
x=0
y的平方 =2+(0)y
y^2=2
y=(+/-)根2
(3)
Show when dy/dx = 0
no solution
(4)
prove 2y*dy/dx=y+x*dy/dx
so dy/dx=y/(2y-x)