Inteprete Show your work COS dx

Q: Inverse Trig Integral Show the solution: dt = 2 Sin-1 VE + C Vt-t?

A: To show the solution

Q: length of curve r = 1+sin(theta), just set up the integral.

A: Given the curve is  r = 1+sinθ

Q: sin(t) %3D 2. %3D

A: Solution - Given - Sint = 32We know that -Sinπ3 = 32Hence,Sint = Sinπ3t = sin-1sinπ3…

Q: (ii) x= Cos ec(1- 51), y=e(nt- cotf) ,(Int-cotf)

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Q: sinx xくT。 Discuss The Continuity of y= COSX

A: Continuity :     limx->af(x) = L            where, L is the limit value i.e. finite and will be…

Q: cose Evaluate the integral: de. 4- sin2e

A: Follow the procedure given below.

Q: (Integral sign)8e^(4y) dy

A:

Q: " cos Inx dx Evaluate the Integral A - sin Inx + C B sin Inx + C cos Inx + C sin Inx D - + C

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Q: cot 2x Evaluate the integral dx . V cor²(2x) – 15 csc (2x) A ·Arcsec 8 + C 4 -- In |cot (2x) +…

A: The given integral is: ∫cot(2x)cot2(2x)-15dx Substitute cot2(2x)-15=t          ....(1) Fromm the…

Q: +siny+x

A: Side View

Q: x + y x - y cosh Show that sinh x + sinh y = 2 sinh

A:

Q: Intagrale le it wrt -t. te cos(x-t)dt

A: The integration By parts formula is,                     ∫uv dx =u∫v dx -∫ddxu∫v dxdx We know, ∫sinx…

Q: ntegral sydx 2. ] [ -1-1 (x + y + 1)dxdy

A: As per our norms we have to write one question at a time kindly repost remaining questions

Q: sine a, +e-rag – 2cos@sinpas v x F(1,"/2, "/3 =?

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Q: integral et sin (t-s) ds

A:

Q: SOLVE USING: TECHNIQUES OF INTEGRATION: TRANSFORMATION BY TRIGONOMETRIC OR IDENTITIES AND…

A: First we let x=3/4y then put tanx=t then using t7 =t5 (t2 +1) -t3 (t2 +1) +t(t2 +1) -t

Q: siny+ tan y = siny %3D 12. 1+ secy

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Q: an arch of y = sin( 3

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Q: integration to find the general 3y? dy = (2x – 3) dx

A: It is simple integration.

Q: Area under the curve x + y = 3 and the coordinate axis

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Q: y" cot x + (cotx) In (sinx). Show that Cscx %3D 2y - 3 cotx. %3D

A: given function :y= cotx+(cotx)lnsinx

Q: Consider the function f(x)=2cos(x) is it a sinusoidal function? Show all work. Explain why

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Q: sin(x+y) - coty siny sin X

A: To evaluate the given expression.

Q: cosi in the form x+iy %3D

A: On solving,we get

Q: integral using ir

A:

Q: sin(x + y) - sin(x- y) 2 cos x sin y

A: Solve the following

Q: X + |

A: topic - indefinite integral

Q: emx cos nx dx

A:

Q: /' + y' = siny 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree

A: Given: y'' + y'''' = siny

Q: sin ( Int) Let h(x)= dt. Determine the value of h(a).

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Q: Luse integnal a stande substutuon to educe the 3(3x+12) dx,u= 3X +12 du 3,2 * du= 3,2dx

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Q: fsin(sin(x))dx

A:

Q: Sy cos y· sin²y dy

A: Given: I=∫y.cosy.sin2ydy

Q: sinx Evaluate the integral dx 1-cOsx using Karl Weierstrass substitution.

A: We need to evaluate the given integral using Karl Weierstrass substitution.

Q: tanx - tany = sin(x+y)/cosxcosy

A: The given identity to be proved is,

Q: cos* (cos x) COS. dx CSc x

A: Given  ∫cos4cosxcscx dx

Q: (In x)? dx_

A:

Q: y = Vsin (x)+ /sin(x)+. sin (x)+ sin (x)+ Vsin (x)+

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Q: integral f theta^2  cos 3(theta)   d theta

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Q: proof that d sech u Sech u tanhu. du dx dx

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Q: Cosx Evaluate the Integral dx. sinx 1 + C 3sinx A B) 1 +C sinx - +C 3sinx 1 +C sinx

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Q: arctan x dx (けx) It X

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Q: Ql. Integrate using Trigonometric Substitution.

A: Let I = ∫x2-1x2 dx By using Trigonometric substitution, x = sec t ⇒ tan t = x2-1  dx = sec x tan x…

Q: y' + y" = siny O 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree O None of the…

A: Given problem :- y''+y''''=siny  To find:-  order and degree of given differential equation

Q: Arc length Find the length of the curve y = In (sec x), for 0 <xs #/4.

A: Given that: y=ln(secx)    for   0≤x≤π/4

Q: Bessel fundion Satis fies veyi fy that the Sinx the Bessel equation of

A: We have to verify that the Bessel function J12x=2πxsinx satisfies the Bessel equation of 12.

Q: sin(sin 'u - cos v) ed on u and y

A: We have to write the given trigonometric expression sinsin-1u-cos-1v as an algebraic expression and…

Q: dyda Siny

A:

Q: SVx+sin/x Evaluate: dx.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.