let Xn P( 1) Finel the first and second a nd third non central moment

Q: ¹In(1+x) -dx 0 X

A: Expand log series

Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: 2. Find 02z дхду for z = x2 tan-1 Y X

A:

Q: iate ſ In(x + v1 +x²)dx

A:

Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Q4. Let fla) < cos" ( a ) Find fCa) COS n+5 f'(a) = %3D

A: Answer is mentioned below

Q: Find dx (In √æ²+1).

A: Given that expression we have to find evaluate the value

Q: Determine the length of x = 3 + (y – 2)² , 4 <x< 19

A:

Q: C -dx(use 2 decimal places, no 5+x Let * = 2.06, and y = 1.32. Determine the value of when you…

A:

Q: So 3 Vit7x dx U-substiutson.

A: Use u substitutions to integration

Q: d) S 2xe* dx

A:

Q: Q.13.a) s dx x2+2x+1 b) Sx sinvx dx dx c) J Tx+V% 1E / E

A:

Q: Find x.

A: The given triangle is as follows:

Q: [° [² (5 x² + y²) dx dy

A:

Q: dx 8. J x*V5x-x

A:

Q: dx find . diven that x>0, using the substitution u =

A:

Q: Evaluate

A: Using fundamental theorem of calculus, to find the derivative of definite integral, one need to plug…

Q: H-Wid Solue the Rollowing PDES @ (Dž -2 Dx Dy Ju =x°y + e* Ans u=$1cy) +$2(9+2x)+ でくx 20 60

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Q: Q if asinx Prove that a + bcos X y' = (a+ bcosx)? a cos+ b

A: Differentiate wrt x In problem, proof equation is wrong I have solved properly

Q: 4- 13 + 6y = 0 dx

A: We have to be find

Q: x+y %3D 21. Prove that tan-x + tan-'y tan - xy.

A: Using tan(A+B) =( tan(A) + tan(B) )/(1- tan(A) tan(B) ).

Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

A:

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: P(A)=0.3, P(B)=0.6, A and B are indep, find P(AB'), P(A|B')

A: We have given that  P(A) = 0.3 P(B) = 0.6 If A and B are independent then, P(AB) = P(A and B) =…

Q: 8tan4x dx. Q. S 3 None 8log|sec4x| + c 3 2log|sec4x| + c 3 2log|sec4x| + c 4

A:

Q: Using the beta function, find x2 (3 – x) E dx 3 VT A) B) E C) D) 4.

A: Beta Function: The Beta function, denoted by is defined by where m and n are positive. This…

Q: cohen's d and r2 value ?

A: From the given information, the sum of squares values is 9600, the sample size is 25, sample mean is…

Q: Prove that d/dx [cos x] = −sin x.

A:

Q: s defined over ai at one point in tl асcordi

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Q: Find dy of the Jollowig dn funchion yot ఆంధ 3(TT)C)

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.