Use the figure to write the expression in algebraic form given y = arccos(x), where o < y

Q: 4. e2x sin e*d x, use algebraic substitution

A: Given :  Intergral ( e2x sinex dx)

Q: a L{sin at} = s2 + a?

A: We have, Therefore,

Q: f sin √x dx

A:

Q: if H(y) = cos y - sin y, find H (1/2 pi + x ) = H(pi - x) =  -H (-x)

A: Given :     H(y) = cos y - sin y

Q: Evaluate the trigonometric function below from x = 1 up to x = 5. S(sin√T sin √x) dx √x

A:

Q: eliminate the parameter to find an explicit equation for y as a function of x.  x = 1 + 3 cos(t) y…

A: Given,          x=1+3cost          y=-2+4sint

Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base…

Q: bu= 는 Sin hT x dx ans=- xcosuT sin

A: We have to use the UV rule of integration.

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

A:

Q: Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 44. Use the accompanying figure to show that sin-x dx. sin x dx y = sin y = sin x

A:

Q: Express in the form y = f (x) by eliminating the parameter.x = t, y = tan^−1(t^3 + e^t)

A: Given:             x=t, y=tan−1(t3+et)

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: d e) (In|sin x)) dx

A:

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

A:

Q: Obtain graphically an approximately value of the root of x = sin x + Tt /2

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

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Q: y' sin 2πχ 3Tycos 2πx

A:

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: We have to refer to the graph of y = sin x or y = cos x Then we will find the exact values of x in…

Q: CoS X By using the substitution u = sin x, find dx 1+ sin?x

A: Solve the infinite integral buly using substitution method

Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

A:

Q: tan x- 2x°y = c 3

A:

Q: Let a > 1 be a constant and y = (9e- sin z 3) In(x+a). Find y'(0).

A: Product rule of differentiation:…

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

A: Given: f(x,y)=4xsin5xy To  find: fx(5,3)

Q: dx. (a) [ cosʻ x+4 sin x (i) Evaluate Using the substitution ttanx

A:

Q: Sketch the following between x = 0 and x = 4 pi      y =  sin x + cos 2 x

A: Given: The function is  y =  sin x + cos 2 x

Q: following + (Co Sx) y Solve the Sin X dy tanx %3D

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Q: Differentiate the expression y = e* cos x²

A:

Q: y = In tan(x – A) +B

A: Some Important Formulas 1. ddxtanx = sec2x2. ddxsin-1x = 11-x23. sec2x = tan2x +1

Q: Q/ solve the differentil-equation ty-f'sinx-x)+(3xy+2y.cosx)

A: We will solve the problem.

Q: ez² cos(z) dz .

A: In this question, we use the Cauchy theorem for f(z).

Q: Solve the equation for x, where x is restricted to the given interval. y = 3 tan 2x - 1, for x in…

A:

Q: 2T -TT Evaluate: S. (sin x + cos y)dx dy II SII 71I

A: Let give integral is equal to I

Q: Sketch the following, marking points of interest. Y = (*+2}(x+4}/(x+3) Y= 2 sin x+1 Y= sin (2x)

A: Given Y = (x+2)(x+4)/(x+3) Y = 2sinx+1 Y=sin(2x)

Q: cos x )y+y'= e^(-sinx) solve the dif eq for the problem above  thanks

A: Given that  (cos x )y+y'= e^(-sinx)

Q: (c) [ e sin(x²) dx < e –1. Show that

A: Solution of question as follows

Q: Let x = 0.43 and y = 0.43. Determine the value of C when you evaluate tan-(2x)dx (Use 2 decimal…

A:

Q: Given the equation 5 sin 2xy = 2, evaluate Assume that the equation implicitly defines y as a…

A: Given,         The equation is 5sin2xy=2 .

Q: (cos x) = –sin x dx

A:

Q: e of y = -3 sin x + 5? (I Vミー

A:

Q: 5. x = A sin (wt + B); w a parameter, not to be eliminated.

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Q: Evaluate : L [ ezt -3+sin h t sin

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Q: To evaluate 1 dx 25+x2 the trigonometric substitution x = 5 sint

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Q: For sin y=- find the value of so that (y+y")= - 1 at 1 at x=0 Cos X-

A:

Q: 6. What is value of y that is no y = sin-1 x? A. 0 С. B.

A: here we have to find the value of that is not in the range of the function y=sin-1x

Q: Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

A: Here we have to find the derivative.

Q: cos x -dx = sin x O A. In 3 В. In e C. In 2 D. In 4 B.

A:

Q: Calculate the higher derivatives. y = 7e¹ sin(t) (Use symbolic notation and fractions where needed.)…

A:

Statements and Logic

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