Sophomore math problems, please help me 10

Updated on society 2024-02-08
11 answers
  1. Anonymous users2024-02-05

    f(x)=x+a x g(x)=x-lnx xe[1,e] f(x1)>=g(x2) That is, f(x) must be greater than or equal to the maximum value of g(x) is the minimum value of f(x) and greater than or equal to the maximum value of g(x).

    xe[1,e], g'(x)=1-1 x >=0 1>=1 x x>=1 is incremental.

    Therefore, xe[1,e] is increased, and the maximum value is g(e)=e-lne=e-1

    So: f(x)>=e-1 xe[1,e].

    f'(x)=1-a x 2>0 a x 2<1 x 2>a, x>root a or x<-root a is incremental, and x 2 root a is incremental. xe[0, root number a] is minus.

    When x = root number a, take the minimum value.

    If: root number ae[1,e]ae[1,root e], the minimum value is f(root number a) = root number a + root number a = 2 root number a> = e-1

    a>=1 (e-1) 2 is synthesized to a[1, root number e].

    When the root number a>e, it is subtracted, and the minimum value is f(e)=e+a e>e-1 a e>-1 -e-e so a>e also holds.

    When the root number a<1, it is incremental, and the minimum value is f(1)=1+a 1>e-1 a>e-2 i.e.e.: ae[e-2,1].

    In summary: a>=e-1 a>=e ae[e-2,1].

    That is: a>=e-1 or e-2<=a<=1

  2. Anonymous users2024-02-04

    It should be the wrong question, but the one on the Internet is right, because if you follow the original topic, you have to do all kinds of discussions on A, which is very complicated, and the fill-in-the-blank question will not be purple

  3. Anonymous users2024-02-03

    I'll give you the answer first, and if you want the process, find me alone.

    The radius r 2 = (5 + 5 (1 2)) 2 and the surface area is 4 r 2 = 2(5 + 5 (1 2))*

    Note: Pi 5 (1 2) means that the object is trapped in the root of the Jane Huai No. 5).

  4. Anonymous users2024-02-02

    Solution: Let point C be polluted by source A as Ka x 2, and point C as be polluted by source B as Kb (18-x) 2, where k is the proportionality coefficient and k 0

    Thus the degree of contamination at point C y=ka x 2 +kb (18-x) 2

  5. Anonymous users2024-02-01

    1. p = (c31 times c21 times c11) c63 =3 102, the possible values of x are

    When x = 2, p1 = 1 c63 = 1 20

    When x=3, p2=1-p1 =19 20 (1-probability when you don't get 3) can draw your own distribution column.

    ex=2x1 20+3x19 20=59 203, to make y 6, then there must be 3, so (c31 times c21 times c11 + c32 times c31 + c33) c63 = 4 5

  6. Anonymous users2024-01-31

    1. p=3 10 take one each.

    2. The possible value of x is

    When x = 2, p1 = 1 c63 = 1 20

    When x=3, p2=1-p1 =19 20 (1-probability when you don't get 3) can draw your own distribution column.

    ex=2x1 20+3x19 20=59 203, to make y 6, then there must be 3, so (c31 times c21 times c11 + c32 times c31 + c33 + c31 times c22) c63 = 19 20

  7. Anonymous users2024-01-30

    The radius of the ball is 3

    The radius of the regular tetrahedral outer catch is 3 4 of the height of the regular tetrahedron (this is basic common sense), so the height of the regular tetrahedron is 4

    The side length of the regular tetrahedron is 24 under the root number

  8. Anonymous users2024-01-29

    You .........Are you sure you are looking for the volume of the sphere?

  9. Anonymous users2024-01-28

    The volume of the ball??

    The formula for the area of the ball is s=4 (r 2).

    s=36π,r=3

    v=(4/3)π(r^3)

    The volume should be 36

    Your answer to that isn't the volume of the ball.

  10. Anonymous users2024-01-27

    If you approve of me, please click "For satisfactory answer", thank you!

  11. Anonymous users2024-01-26

    Less than 50,000, so the 10,000 digits can only be 1-4, and there are no repeating digits, and even numbers can only be 2 or 4

    The 10,000 digits are 1 or 3, the single digit can be 2 or 4, c<2, 1> c<2, 1> p<3, 3>=24

    The 10,000 digits are 2 or 4, and the single digit can only be 4 or 2, c<2,1> c<1,1> p<3,3>=12

    So there is a total of 24 + 12 = 36

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