Eliminate the pavameter from. the follawing. X()= cos (2f) Sint

Q: Q2. Fined h[2Stnat.cosst] Hint L2 Sin A Cosß = Sin CA+B)+SfnCA-B) %3D

A: As per the policy of bartleby the provisions is to solve only one question at a time i am solving…

Q: a particle travels along the x-axis such that its velocity is given by p(t) = t'. + 3 cos (2t). What…

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Q: а L {sinh(at)} : given that sinh (at) = So %3D s2 -a? 2

A: This is a problem of Laplace transform.

Q: If sinh r 5then tanh a is Select one: a. 15. b. C.

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Q: 1 3. f (x² sin x + tan x) dx

A: Solution : ∫01x2sin(x)+tanxdx  y=f(x)=x2(sin(x))+tan(x) Taking N=10. h=b-aN=0.1 Table of x and y,…

Q: S sin? x dx

A: ∫sin2xdxUse the identitysin2x=1-cos(2x)2∫sin2xdx=∫1-cos(2x)2dx                 =12(∫1dx-∫cos(2x)dx)

Q: Solve the following D.E y tan X Cos X %3D

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Q: Which of the following is the value of the integral 1 (sin z + |cos a|) dæ ? 2

A: Given that ∫0π 12 sinx +cosx dx find out the integral

Q: THWI Find d?y /dx? for and cos

A: To find the d²y/dx²

Q: Evaluate the following : e#/2 (a) sin(In 0) dê.

A: SOLUTION-

Q: 2 cos 0 Só 3 rsine drdð 3

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Q: An individual's oxygen level, L, at time te [0, 7], is given by L(t) 90 + 10 sin(2t).

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Q: Given sinh(r) = then tanh(r) = Select one: a. b. + C. + d. OS Shot by Hisense H12

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Q: Which of the following equations is equal to 1 A cosh (x) – sinh2(x) (B tanh²(x) – sech2(x) ©…

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Q: B) If sinh e V3 Find cosh 0, tanh 0, coth 0.

A: The function sinh(θ) is called the hyperbolic sine function. It is defined as sinh(θ)=eθ-e-θ2.…

Q: olve the following: sin x dx

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Q: S 17x cos (In(x)) dx =? .3 COS A) 30 B) 20

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Q: a) If cosh-1(x) = tanh-1(?) = sech-1(?), find the value of the question mark. 1+i b) If In( ) = ? ,…

A: The sides and the angles of a triangle are related with the help of trigonometric ratios. The…

Q: Obtein MacLawrin sevies for {(x)= Sin ca).

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Q: What is the value of b that will result in a period of 90° for y = a sin b(x-c)+d? 1 1 (A) (B) 2 (C)…

A: We will find the period.

Q: 2. Which equatien will sllewes to sahve fer x? a sin 40= b sin 40 C. Cos 40 d. cos 40 e t 40= L t 40

A: :

Q: a) S sin? x cos5 x dx

A: There are multiple question , as per company policy kindly ask other question separately.

Q: How many petals does the rose curve r = 3 sin 40 have in the interval [0, T]? O 16 O 4 O 8

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Q: FIND dy/dx for the following Question sin x.cos x 3 y cot x 4. tan x 27) (ans.: )) x(1+ 2 In x) 1+…

A: The given functy43=sinx.cosx1+2.lnx    ....1to find dydx

Q: W (sinh x , cosh x) = ? Select the correct response: O -2 -1 O 1

A: We will find the solution using the given operator.

Q: Which of the following is(are) true? (Choose all applicable answers.) O coth x = e +ea -e-x cosh x =…

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Q: Fliminate the following. the parameter ) from x(H=2Sint (+)=5 cosf

A: Given, x=2sint        .....(1)y=5cost       .....(2) From equation (1) and (2) sint=x2         ....…

Q: ecos z sin zdz

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Q: Solve the following with 3 decimal places if necessary. 1.Find L(f) if f(t) equals: i. tcos5t ii.…

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Q: S 16 sin?x cos?x dx x cos²x

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Q: Use L’H0 spital’s Rule where appropriate

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Q: Evaluate the given function ysin20de = dy + sin?0dy is equal to. А.2 — су %—D сosө В.2 — су — соs?0…

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Q: ouse the imProved wmethod Solve the : y ty tan X= sinzX ;ylo)=l ;h=ol

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Q: FIND dy/dx for the following Question sin x.cos x 1+2.In x 3 y cot x (ans.: 4 tan x 2 27) 2 x(1+ 2…

A: Given: y43=sinx cosx1+2ln x   ...(1)To find : dydx=?Formula: sin 2x=2sin x cos xcos 2x =cos2 x-sin2…

Q: What is the exact value of cos ZPQR? 3. P 4 R. 7. 16 • Previous tv 2] 3/16

A: We have to find cos angle of PQR.

Q: 8.- Hallar "x", si: 37x.tan?30° - 5x.csc260° – 7tan45° + 5csc30° a) 2 b) 3 C) 4 d) 5 e) 6

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Q: 47. A direct calculation shows that 2 sin? x dx = . How close do you come to this value by using the…

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Q: ompala. 2. Detemine £{e3t sin 6t – t3 + e'} using table comparison method.

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Q: 15 5. If sinT = then which of the following is closest to the measure of ZT? 29 (1) 20° (3) 31° (2)…

A: Since,          sinT = 15/29

Q: Given y= cos-(tanhx), determine dx A - sechx sech?x 1-tanhx © none of the given choices sechx…

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Q: (a) Find the approximations Tand Mo dx. (Round your ansers to si decimal places)

A: (a) The trapezoidal rule is: Tn=∫abf(x)dx≈∆x2f(x0)+2f(x1)+2f(x2)+...+2f(xn-1)+f(xn)...(1)Where,…

Q: sin (mx) cos(nx) dx

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Q: du is? x³ sin (x?) dx is evaluated using IBP, the value of v du When A sin (x2) 2 B none of the…

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Q: tind the geneval solurion to the D.E 4) (3) you Know that 4o)s sinx is one of the solurions

A: We will find out the required general solution for given differential equation.

Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: the Following Solve Sin x (Co Sk) y = t anx %3D

A: Divide whole equation by sinx in order to make dy/dx alone

Q: If y= sin?r+ tant, x=- In(-cost) - e sinr, find the value of y' when t=-. 6 (A) -Vzle? 2/3 B Vz-e ?…

A: Given that: y=sin2t+tan tx=-ln (-cos t)-esin t We have to find the value of y' when t=π4

Q: 7. Which equatien will allew as toe selve fer x? a sin z= C. cos x= e tanx MIA MI

A: The given triangle is a right angled triangle. The angle is x°, opposite side is 3 and hypotenuse is…

Q: cos( dx x2

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Q: sinh?x + cosh?x= ±et* %3D

A: Given expression, sinh2x±cosh2x=±e±x To prove this in the following.

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.