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研究所、轉學考(插大)-微積分
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101年 - 101 淡江大學 轉學考 微積分#53705
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4. (10%) For the function f(x, y) = x
2
y - In (x+y), f
xy
(1, 1) =____.
其他申論題
【已刪除】7. Find the value of at the point (1,-1, -3) if the equation xz + ylnx-x2 + 4 = 0 defines x as a function of two independent variables y and z and the partial derivative exists. (10%)
#197569
【已刪除】1. (10%)=____
#197570
【已刪除】2. (10%) Consider the function Find the constant a =____such that / is continuous on the entire real line.
#197571
【已刪除】3. (10%) For the function f on the interval [1,3], the absolute minimum value is____.
#197572
5. (10%) For the equation y2 — yex — xlny = 12, the slope of the tangent line at the point (1,1) =____
#197574
【已刪除】6. (10%) =____
#197575
【已刪除】7. (10%)=____
#197576
8. (10%) A rectangular solid is measured to have length x, width y} and height z, but each measurement may be in error by 1%. The estimated percentage error in calculating the volume is____
#197577
9. (10%) A closed rectangular box whose volume is 128 cubic inches is to be made with a square base. If the material for the top and bottom costs twice as much per square inch as the material for the sides, use Lagrange Multipliers to find the dimensions of the box that minimize the cost of material.
#197578
【已刪除】10. (10%) Evaluate
#197579
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