Given: = 0 – sin 0; y=1– cose Find: dz2

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: Find the speed at the given value of t. r(t) = (sin(3t), cos(6t), cos(7t)), t = " 2. II

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Q: Given arccot(sin(2x + y)) + arctan(cos(2x + y)) = 0, solve for dx %3D dy

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Q: Set up a trigonometric ratio from ZH to solve for x. H U 14

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Q: If y = cos? x – sin? x, what is y? X - х, | dx

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Q: Find the exact of the following, if the exist. a. sec-1 2 C. cot-1 V3 3 b. csc-1 1 d. arc sec-l cot…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 4T then 3 If 0 = sin(0) = %3D Give exact value.

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Q: Suppose y = sin x. %3D What y-value corresponds to an X-value of 37? 2

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Q: Given: y = cos 2ax + 5. find dy.

A: Option 1 is the solution Given,  y=cos(2ax)+5 dydx=ddxcos(2ax)+5      =ddxcos(2ax)+ddx5…

Q: Solve for the requested quantity. If x 5 and y 8, then sin A A. %3D

A: use trigonometric ratio for finding the value of sinA.

Q: Find  dy/dx, given ? = sin √x

A: Chain rule in differentiation: also,

Q: Given: x = 0 – sin 0; y = 1– cos 0 d'y Find: dx?

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Q: Given: x = 0 – sin 0; y= 1 – cos 0 d'y Find: da?

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Q: Given x = 2 cost + 38 and y = 5 sin2t %3D

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Q: 4. y = csc x sin x + (sec? x + tan²x)

A: I have stated the used formulas in the solution

Q: 4 Using trigonometric substitutions, S dx is equal to: xV16 – x²

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Q: d) y = sin*(x'/3) + arctan(r?)

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Q: TT/2 S,"/e cos?x.sint x dx in tegralinin bulunvz sonucunu

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Q: sin(4(t – w)) y(w) du = 9t?.

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Q: 15. S Vx sin?x³/2 dx.

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Q: Find if dy y = e2 sin x Choose the correct answer.

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Q: Sheet 3 Q1 :- Find the area inside the curve 1- r =a 2- r= 2a sin e 3-r= 2a cos 0.

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Q: If the given is y = sec2t and x = sin?t. Determine its dx²° - (Show your complete solution in a…

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Q: If y = cos(sin(2.x)), find . dx

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Q: Given sin x + cos x = 1, find x for the interval 0 O n/2

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

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Q: Use the formula for the slope of the tangent line to find of c(0) = (sin(20), cos(70)) at the point…

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Q: If y = sin (m sinhx), find the value of (yn)o

A: Given that,  Differentiate w.r.t.                         . . .(on squaring both sides)…

Q: Given x = 2 cos 2t and y = 5 sin t. Find when t = dx

A: Given:

Q: a)- Find for, (x+ y)* = tan-14× + T* + InIny dy dx

A: To find dy/dx.

Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

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Q: Suppose y sin? x + 2sin a, Find dy/dx. Answer:

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Q: Use the unit circle to find all values of 0 between 0 and 2n for which 1 sin 0 V2

A: For the solution follow the next step.

Q: Consider the following. sin(-e). = co(), X = (a) Eliminate the parameter to find a Cartesian…

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

A: Solution of question as follows

Q: find dy for ee Sin (メ+34) dx

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Q: If the solution to fez* sec²(e2x+1)dx is equal to k tan(e2*+1) + C , find the exact value of k:.

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Q: Given: X = 4 cos 20 and y = 2 sin 20 What is the value of d y dx? in terms of

A: We have to solve

Q: To approximate the value of sin44° , we will use y=sin What must be the value of dy ?

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Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

A: The given function is: y=csc(3x)sin(3x)+cos(x)  =csc2(3x)+cos(x) To find the derivative of it:…

Q: Given: x = 4 cos 26 and y= 2 sin 26 What is the value of in terms of 6. dz O dy csc 29 dx2 -csc 20 O…

A: The solution is given below:

Q: express the given quantity in terms of sin x andcos x. sin (2π - x)

A: expression in cosine and sine form of sin2π-x We used identity:  sinA-B=sinA cosB-cosAsinB

Q: Begin by differentiating each side of the equation x = sin y. Find (x). ar X) =D | Type an exact…

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Q: Given cos x sin x < 0; tan y = sec y < 0, find sin(x+y)

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Q: If sec A = V 50 with 0° <A <90°, find sin 2A and sin A/2

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Q: Given: csc x = -,PE Quadrant IV, tany y e Quadrant I. Find: sin(x - y), cos(x - y) and tan(x+ y)…

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Q: Given x sin x +1 = 0, using Newton-Raphson method with initial guess xo = 4, calculate the root of…

A: Given equation  f(x) = x sin x +1  with initial guess  x0 =4

Q: (b) If y = sin (m sinhx), find the value of (yn)o ·

A: Given   it has to find nth derivative at .

Q: 10. y = cos In 7x6

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