< y< T/2. aroccos(x), where 0 Use the figure to write the expression in algebraic form given y cos(y)

Q: H.w. (2):- Derke th formula Cosh x-a (xt R-i) 2.

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: lim cos? x sin? x = 8.

A:

Q: tan (xy) = ? lim (x,y)→(1,0) y+ xy (a) 0 (b) (c) 3 (d) (e) 1 -/4

A: In the given question we have find the limit of the function of two variable s.t…

Q: 5. Integrate the function below, if the answer is expressed as (a/b)*pi + 2*In(c), find the value of…

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Q: Match the function with the graph (1) y = -1 + cos x

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Q: sin'y 11) lim y--TT 1+cosy •TE1+cosy

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Q: Find the limit

A: We first separate the limits

Q: f(x) = 3 sin x + 3 cos x , [0, 2π] Find the points of inflection of the graph of the function and…

A: Given:

Q: x²+ 1 dx x² +4 S_x² + =

A: Given Problem:- ∫x2+1x2+4dx

Q: (e* – 1)? lim I-0 x sin x

A:

Q: sin(x² + y) x2 + y? 9. lim (r.y) (0,0)

A:

Q: In Exercises 45–46, use polar coordinates to analyze the givenlimits.

A: Solution:Given45. lim(x,y)→0xyx2+y2, 46.lim(x,y)→0sin(x2+y2)x2+y2Formula:x=r cos θ, y=r sin θcos2…

Q: 5cos³(x) sin(3–2x) answer in terms of sin and cos only ind the derivative of y = + tan²(3x² – 4x) –…

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Q: ĮY = cos (y)x³ y(0) = 5 Solve the IVP , and then evaluate lim y(x). Return only the latter x--00 as…

A: Topic :- Differential equation and limit

Q: y=cos(x) x: 0, pi/4, pi/2, 3pi/4, pi, 5pi/4, 3pi/2, 7pi/4, 2pi Y: Graphy y=cos(x) below:

A: The given trigonometric function is,

Q: a.) lim(x [|x|] + 1) =? b.) lim 1-cos(tanx) =? tanx lalete the imtc of thefnctions nere

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Q: 6 sin æ Let f(x) %3D 6 sin x + 4 cos æ Then f'(x) = The equation of the tangent line to y = f(x) at…

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Q: sec x-cos X lim equals (A) 0 1 (B) (C) 1 (D) 2 (E) none of these

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Q: e* +e-x — х2 — 2 lim x→0 sin? x – x2 O 1 O -1/4 O 2 O other:

A: Given: The limit expression as  limx→0ex+e-x-x2-2sin2x-x2 To find: The value of given limit.

Q: 4 1. lim X→0 x² 2 1-cosx

A: L'Hospital's Rule: It is a rule which is used to find out the limits of indeterminate forms 00, ∞∞…

Q: 1² lim x-o ln (sec x) x→0 O o O anther answer O 1 02

A:

Q: L3) Solve for the zeros of the function: y=6 sin(금(z + ) + 3 %3D

A: Given,  y= 6sin23x+π4+3  We have to find the zeros of function.

Q: H-W X.(5) Evaluate I = sinux dx.

A: To find the integral,  I=∫sin34xdx

Q: 2 cos-r, if -1 0. r+ cos r

A: This question is based on function continuity and differentiability.

Q: sin z coS I Q1-Solve by hospital rule lim

A: Given problem is :

Q: dy as a function of x. dx Write the function in the form y = f(u) and u =g(x). Then find y=cos 6…

A:

Q: y2+sin y Lim y-00 y?+cos y

A: Given,          limy→∞y2+sinyy2+cosy

Q: y? sin? x (c) lim (2,y)→(0,0) x4 + yª xy cos y (d) lim (x,y)→(0,0) x² + y4

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Q: cos²(x) dx 1+ sin(x) Evaluate:

A: Using the Pythagorean identity we know that cos2(x)=1-sin2(x)So,…

Q: Test for homogeneity of the following and state the degree of homogeneity: 2. XZ f(x, y) = sin -3z

A: Given,   To Test f(x,y)=sinxzy-3zfor homogeneity and also degree of homogeneity

Q: R 5″ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=- 4 4 (A…

A: Here we have to find the area bounded by the given trigonometric curves.

Q: cos x . Use residues to evaluate I = -dx , (a>0). 2 2 x + a

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Q: Missing x or y, Reduction of Order y"tan x-1= y', (cosx #0) Solution: Y =-x+C•cos.x+C,

A: (Solving the first question as per our guidelines) Solution: The given equation is y'' tanx-1=y',…

Q: Q. The value of Lim x(cos a)?e-2nz dx.

A: The objective is to find the value of limn→∞∫0πxcosx2e-2nxdx

Q: tan(хy) = ? lim %3D 2. (х,у) ->(0,1) х*у+x (a) 0 (b) (c) (d) (е) 1 -12

A: We have to find the value of the given limit: limx,y→0,1tan xyx2y+x The given limit is 00…

Q: sin (), x + 0 10. Find the value of K which makes f (x) K, x = 0 continues at x = 0.

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Q: cos e – 2 lim 0→0

A: Given limit can be written as

Q: y" - y = 10 cos x cosh x

A: Differential equations

Q: Find the domain of the function y = tan(x/2)

A: As we know that the domain of the function y=tan(x) is all real numbers except the values where…

Q: 'y=sin²t+tant, x= – In(- cost) - e sinr, find the value of y when t=". 4

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Q: y cot 4y Lim y-0 sin? y cot2 2y

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Q: 0. The value 31 The function f(x) = x sin x satisfies the following equation: P"(x) + (x) + t cosx =…

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Q: e) lim (1+sec 3x)cot 3x 7 2 X-

A: The objective is to find the limit.

Q: Fied the equation for the tangent to the graph of y at y sin The equation of the line tangent to the…

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Q: 4. y = 5/(sin3x +cos3x)

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Q: 3T 0<x <T Scos(x) + 2 (sin(x) – 1 and then evaluate ? f(x)dx. Sketch the graph function f (x)

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Q: L3) Solve for the zeros of the function: y = 6 sin( (x + )) + 3 %3D

A: The given function is y=6sin23x+π4+3. Substitute 0 for y in y=6sin23x+π4+3 and take 3 as common from…

Q: y ton(メツ) ン Q3 Find tanx 2 y-(1+x

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.