浙江师范大学
Series
converges. - Method of cylindrical coordinates involves with polar coordinates on the plane. （ ）
- https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/acad7d62d63c4696b7f73be433d11287.png
- https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/e5682aa1e6e24b2a8a1f6cae53e226c3.png
- https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/75cd4272b0ed47c6b5531872d73d0573.png
is continuous at
, but it does not have partial derivatives
or
. （ ）- Series
converges. （ ） - https://image.zhihuishu.com/zhs/question-import/formula/202401/906c18a6ad47404e9ebd1d5e484673ca.png
- The function
has a local minimum at
. （ ） - On a closed region, the maximum of a function may not be a local maximum. （ ）
- If the curve
is given by 
with 
, then the arc length of 
is 
. （ ） 
converges. （ ）- Suppose a plane has x-intercept, y-intercept and z-intercept equal to 1, 2 and 3 respectively, then the plane equation is
. （ ） - Let
be the region enclosed by 
, then 
. （ ） - If
is the segment of parabola 
from 
to 
, then 
. （ ） - Let
be the part of curve 
from 
to 
, then 
. （ ） - If
, then 
. （ ） - The volume of the solid
bounded by 
and 
is 
. （ ） - The domain of convergence of the series
is 
. （ ） - In the problem of finding mass of an object, the precision of Riemann sum is equal to the exact value of mass. （ ）
- A surface integral of first type represents the algebraic sum of mass of a finite surface with a suitable density function. （ ）
- If the region has rotational invariance about the origin, we choose polar coordinates to compute the double integral on such a region. （ ）
- The function
has a local minimum at
. （ ） - Suppose
has two partial derivatives
and
at a point P, then 
must be continuous at P. （ ） - https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/9072568fe4954ed0b8ad5f17ad410d35.png
converges. （ ）- If
is a potential function of a harmonic field, then 
. （ ） - https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/eb5dae14fadf458498f16a97148d0c05.png
- The curl of the field
is equal to 
. （ ） - Let
be a solid enclosed by 
, 
, 
, and 
, then 
（ ） - Evaluate
（ ） - https://image.zhihuishu.com/zhs/question-import/formula/202401/8cdd7fb98d224bceae2e83094a749d22.png
- https://image.zhihuishu.com/zhs/question-import/formula/202401/3a284a58f3af48838c8bc3a103b3c312.png
- Given
, find the area of 
（ ） - Vector
has terminal point 
and its projections onto 
axis are respectively 
. Find point 
. （ ） - https://image.zhihuishu.com/zhs/question-import/formula/202401/9ce2b3437c464c658d06fd923d43cc26.png
- https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/b7ca9e82640c43bdbf4e48c45892d2a2.png
- https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/c3c0e7b4e8f8479b947e1896457ec817.png
- https://image.zhihuishu.com/zhs/question-import/formula/202401/c08bc224064b4b0094218e04ad8514be.png
- https://image.zhihuishu.com/zhs/question-import/formula/202401/30a45b810758435b8a8ebfcf9c26d026.png
- The power series expansion of
at 
is: （ ） - https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/cb8452ca69ad448ab55e630d03ae5f9f.png
- https://image.zhihuishu.com/zhs/question-import/formula/202401/4aec6020795b4e5ca03fc54b1b220a03.png
- Find the included angle between two lines
and 
: （ ） - https://image.zhihuishu.com/zhs/onlineexam/ansewerImg/202401/6a450052b8c846828b28c0528fadcd78.png
- Suppose that
is differentiable at 
, and 
, find 
（ ） - Find the distance of the point
to the plane 
. （ ） - Find the plane which passes
and is parallel to plane 
（ ） - https://image.zhihuishu.com/zhs/question-import/formula/202401/702936e9aa8e4810b50a5a39b86ad5aa.png
- https://image.zhihuishu.com/zhs/question-import/formula/202401/cae61af8d1f9483d96e5b1111d4b4594.png
A:对 B:错
答案:对
A:对 B:错
答案:对
A:错 B:对
答案:
A:对 B:错
答案:
A:对 B:错
答案:
A:对 B:错
答案:对
A:错 B:对
答案:对
A:错 B:对
答案:
A:对 B:错
答案:对
A:错 B:对
A:错 B:对
A:对 B:错
A:对 B:错
A:错 B:对
A:错 B:对
A:错 B:对
A:错 B:对
A:对 B:错
A:对 B:错
A:错 B:对
A:对 B:错
A:错 B:对
A:错 B:对
A:错 B:对
A:对 B:错
A:错 B:对
A:错 B:对
A:对 B:错
A:错 B:对
A:错 B:对
A:1 B:-1 C:0 D:Does not exist
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A:If
, then 
.
B:If 
, then 
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C:If 
, then 
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D:If 
, then 
.
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A:1 B:2 C:3 D:Does not exist
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A:50 B:51 C:52 D:53
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.
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