V3 where xE[0,2 ] ,which quadrant(s) is x in? 2 It is give that COS X=

Q: f It) = a e 71 f Sin 4t + 5 cos 4t

A: Laplace Transform: Given a function Ft defined for all real t≥0, the Laplace transform of Ft is a…

Q: show solution, u and du too

A: We have to choose the correct option according to the given information

Q: V3 IF Sine =, And < 0 < n.Find the Value 0f Tan- Using Half Angle Of Sine Тan 1+ Cose

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Q: The interval, where the IVT will be verified for the equation f(x)=sinx-xcosx is a) (1,2) b) (4,5)…

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Q: Salve the f ollowing equation, for Va lues of o from (0")t0 (3687 inclusive Sin' x-Sin x=0

A: Solve sin2x-sinx=0.

Q: Differentiate the following functions. Show the complete solution. 1. ?=2/?3+?2−1/4 √?3 2.…

A: we have to the differentiate the following given functionb: a) g(x)=x-1xb)g(x)=x2+sec x +sin xcos…

Q: Given f(x,y) 5x sin(5xy). Find f,(3,3). Give you answer correct to two decimal places. Answer:

A: Explanation of the answer is as follows

Q: 2) tan 0 2V13 4.

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Q: d²y If x=5+ cos20 and y=3- sin20, what is ? dx² A csc ³20 (в B - cot20 Ⓒ-csc ³20 D cot20

A: Given: x=5+cos2θ and y=3-sin2θ Now, dxdθ=d5+cos2θdθ=-2sin2θ and    dydθ=d3-sin2θdθ=-2cos2θ Now…

Q: 5) Use the trigonometric substitution to write the algebraic expression as a trigonometric function…

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Q: d) x=√3₁ It is given that sin x=- where x= [0,2], which quadrant(s) is x in?

A: We can answer both the question in the following steps.

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

A: Answer is mentioned below

Q: Given f(x,y) = 3x sin(4xy). Find f,(4,4). Give you answer correct to two decimal places. Answer:

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Q: dx =+ v3- 2. Determine the value of k such that sin 6

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Q: V5 3 If cos(a)= and sin(B) = 풍 <a<nand 2 * <B <27, compute the exact value of the following: with 5…

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Q: af af If f(s, t) = sin s cos 21, find and as at

A: fs, t=sins cos2t Partially differentiating with respect to s, we get ∂f∂s=cos2t·coss

Q: dx Using Trigonometric Substitution J- , find f(0) = (x² + x + 1)7 O 3 sec? e 4 3 sec e 4 4 3 sec e…

A: The given integral,     ∫dxx2+x+132

Q: Rewrite 6 sin(x) + 5 cos(x) as A sin(x + 0) A = Note: ø should be in the interval – T < Ø < T II

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

A: To find the d²y/dx²

Q: G) dx =+ v3 - 2. Determine the value of k such that sin

A: Find the definite integral and put the limits and then equate each term to get the value of k

Q: rcos(2r)+ sin (z) dx Find 9 cos(z)

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Q: f Co3 n = and sin nLO, findi sin Can)

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

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Q: S sin? 3c cos? 6c dc

A: Solve the following

Q: 2n Consider the function y = 4 sin (x+)- 1. Wha 1. What is the period of the function?

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Q: What value of x will make sinx= -? 2 (A none of the given choices 3 TT - 2 - 4 TT 6 B.

A: Given:- sinx = -1/2 To find :- value of x

Q: - 25 csce A <0 < Given that 24 where 2 , find the exact value of the trig function using the half…

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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: v the following function. y = 3 cos(x) +3

A: First translation is  Vertical Scaling of 3 units Then  Vertically shifting of 3units upward

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 5,    f '(0) = 2 f(?) =

A: Given that        f"( θ) = sin(θ)+cos(θ)  The initial condition is f(0)=5 and f'(0)=2 We have to…

Q: Evaluate the function below from x = 2 up to x = 4. ex S(7+2)dx All associated angles are in…

A: We need to evaluate integral.

Q: dx 2 9 cos? x- sin? x ,2 COS

A: Some of the properties of trigonometric  tanx=sinxcosx1+tan2x=sec2x∫1xdx=lnx+C

Q: Find dy for the following function 7 COSX Y=]Cosx I+ Sin x

A: We know the quotient rule of differentiation states that  ddxf(x)g(x)=f'(x)g(x)-g'(x)f(x)g(x)2 Also,…

Q: 9. Which equation will allow us to selve for x? b. sin x= a. sin x= 7. d. cosx = C. cOs X = e. tan x…

A: Consider the triangle

Q: Sæ³ cos(x*) dæ =

A: We solve it by u part method , ∫x3cosx4dx Let u = x4 Differentiate both side , we get   du = 4x3dx…

Q: If y= sin?t- 2+ + tant, x= – In(- cost) – e sinr, find the value of y when t= (=- 2/3 V2-e 2 6. 2le…

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Q: a) S sin? x cos5 x dx

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

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

A: The chain rule for differentiation is given by, ddxfgx=f'(gx).g'x.

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: Evaluate the given function cos³xdx = (y? - y² sinx)dy is equal to.. 2y3 A. sin?x = 3 2sinx + 20 y3…

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Q: Evaluate fo" sin(x) dx. Which of the following shows the correct steps? sin(æ)|5 = sin(r) – sin(0) –…

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Q: - 25 csce = 3n T <0 < 2 10. Given that 24 where find the exact value of the trig function using the…

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Q: m of the coefficient/s when we evaluate (sec(x) e given choices

A: Given ∫(secx-tanx)2dx

Q: n/2 cos x esinx dx=? A) 1-e В -e с) e-1

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Q: az az and uppose z is a function of r and y, and tan Vy? + x? = 2*e®w. Solve for

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Q: Rewrite 2 sin(r) +5 cos(x) as A sin(x + ø) A = Note: d should bhe in the interval - T< d < T

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Q: Given f(x,y) = 3x sin(4xy). Find f,(4,5). Give you answer correct to two decimal places. Answer:

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Q: 8. Which of the following will satisfy the equation below | f(x) dæ = arctanz+C?

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Q: Find an appropriate guess for Ур. You do not need to find the values of the coefficients. y" + 3y' +…

A: Given differential equation is y" +3y'+2y=5e^-x +xcosx