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On the difference between advanced mathematics and calculus Ask elder students, what is the difference between higher mathematics and calculus? Can you specify?
Calculus and advanced mathematics
Urgent... Calculus... Limit If x →∞, 1 / (AX ^ 2 + BX + C) ≈ 1 / (x + 1), try to find the values of a, B and C
If x →∞, 1 / (ax ²+ BX + C) ≈ 1 / (x + 1), try to find the values of a, B and C. Because x ² Is the higher order infinity of X, according to the meaning of the question Lim 1 / (AX) ²+ BX + C) ≈ Lim 1 / (x + 1), X →∞ x →∞ can only make a = 0, otherwise it cannot be established. Similarly, B = 1, C = 1, so a = 0, B = C = 1
Find limit ~ calculus LIM (SiNx) ^ Tan ^ 2 (x) [xtrend Pie / 2]
ln(sinx)^tan^2(x)=tan^2(x)ln(sinx)=(1/cos^2(x)-1)ln(sinx)
The limit of this formula = Lim [ln (SiNx) / cos ^ 2 (x) - ln (SiNx)] = Lim [ln (SiNx) / cos ^ 2 (x)]
=lim[1/sinx*cosx/(2cosx*(-sinx))]=lim[-1/2sin^2(x)]=-1/2
‡ original formula = e ^ (- 1 / 2)
Calculus (limit) Given LIM (x → 0) (√ (AX + b) - 2) / x = 1, find a, B. I have calculated that B is equal to 4. How can I calculate a?
lim（x→0）（√（ax＋b） －2）/x=1
lim（x→0）（√（ax＋b） －2）=0,b=4
LIM (x → 0) (√ (AX + 4) - 2) / x = lobita = LIM (x → 0) a / [2 √ (AX + 4)] = 1
a=4
What do calculus one and calculus three mean? What about calculus two? I studied Tongji's advanced mathematics and didn't understand the calculus of the National People's Congress
There are a variety of online statements, which are simplified by students from different schools:
It may be the third lecture on calculus, the third volume of calculus, or the third part of calculus
But much is said: "multivariate function calculus", including ordinary differential equations and simple partial differential equations
Calculus is the simplest knowledge of calculus, such as limit, derivative and univariate function integral
Is the upper limit of integral greater than the lower limit of integral in the basic theorem of calculus
There is no definite size between the upper and lower limits in definite integral. This theorem also holds for the case where the upper limit is less than or equal to the lower limit. When the upper and lower limits are equal, both sides are 0. When the upper limit is less than the lower limit, both sides add a negative sign, that is, the case where the upper limit is greater than the lower limit
RELATED INFORMATIONS
- 1. Proof of solving a calculus mean value theorem~ Let f (x) be continuous on [0, a], differentiable in [0, a], and f (a) = 0 prove the existence of B such that 3f(b)+bf'(b)=0 F '(b) means the derivative of the function in B
- 2. Calculus knowledge used in probability theory and mathematical statistics Please do me a favor and help me list the calculus formulas needed for continuous random variables, I'm afraid of trouble. I'll write two questions. Do me a favor and help me write out the problem-solving process. In order to avoid any discrepancy between your expression and my understanding, you'd better refer to my expression, Question: 1： Integral number up 1 and down 0, integral number up 2 and down 0,1 / 2, xdydx =? (there are two consecutive integral signs in this question, and the 1 / 2 is in front of xdydx. I'm afraid we may have misunderstandings, so I write so, forgive me) 2： Integral number up x down 0,8xydy =? For the above two questions, please write the formula and the problem-solving process. It's troublesome, Say it The one downstairs solving problem two (y) ²/ 2) How did you get out? X of the last answer ³ How did you get here?
- 3. Why is the limit of (factorial of n) divided by (x power of E) (x tends to be positive infinity) infinitesimal (factorial of n) is the numerator, (x power of E) is the denominator X - > positive infinity N belongs to integer Z
- 4. How to calculate the n-th power of 1.1 equal to 2
- 5. How to find the derivative of LNA * LNB * LNC?
- 6. b> A > 0 proof B-A / b
- 7. Calculus calculation problem Find the area of the graph surrounded by the curve y = SiNx, y = cosx and the straight line x = 0, x = - Pie / 4 Root 2
- 8. Y = the fourth power of cosx - the fourth power of 2sinxcosx SiNx, find the minimum positive period of Y When x belongs to [0, Pie / 2], find the maximum and minimum value of Y
- 9. Find the derivative of COS ^ (- 1) (2-x ^ 2)
- 10. Proof of basic inequality a + b > = 2 √ AB in high school mathematics If the question proves that a + b > = 2 √ AB is true
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- 12. Calculus is used The moving distance of an object is x (meters), the function is x = sin (T), and t is the moving time of the object (seconds). What is its speed at π / 2 seconds The moving distance of an object is x (meters), the function is x = sin (T), and t is the moving time of the object (seconds). What is its speed at π / 2 seconds
- 13. The following inequalities are proved: (1) if a > b and C < 0, then (a-b) C < 0 (2) If a < B < 0, then 0 > 1 / a > 1 / b
- 14. It is known that the m power of a is equal to 2, the n power of a is equal to 5, and the value of the M + n power of ball a
- 15. What is the fifth power of (a + b)? The required format is, for example, the quadratic power of (a + b) = the square of a + the square of B + 2Ab
- 16. Function y = cos ² Pie x-sin ² Period of pie x
- 17. Y = LNX + xtanx, find the derivative of Y
- 18. What is the derivative of y = x ^ (SiNx)? What is the derivative of y = x ^ (SiNx)? y=x^(sinx) LNY = sinxlnx why?
- 19. Derivation of (1 + SiNx) of the root sign (1-sinx)
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