77T 8. Evaluate without a calculator: (a) sinj 77t (b) tan V3 (d) cossin arccos

Q: Eliminate the arbitrary constant for y = 2 + Cq sin 4t

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Q: 4. у%3D 5/(sin3x +сos3x)

A: y = 5sin3x+cos3x

Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: 00 -dx- ;, 0 < p <1. sin px 7. Show that 1+x

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Q: S./2(sec²x – cos²?x – tan²x)sin5xcosxdx -

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Q: 1-sine de. cos²0

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Q: Evaluate∫cos 6x dx without using the substitution method.

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Q: What is the amplitude of y = 3 sin 2 x? 1

A: Given that: y=3sin2x

Q: 4si 2xcos²x dx sin2xcos2x

A: It is given that,     ∫4 sin2xcos2xsin2xcos2x dx We have to evaluate it.

Q: FIND DY/DX OF THE FOLLOWING 3. y-tan (1+sinx)

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Q: Evaluate sin (44°) + cos (29°) using differentials. Refer to special triangles.

A: To evaluate sin44°+cos29∘ using differentials.

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: By using the relationship between the hyperbolic sine function and its Ssinh- (x)] = V. inverse,…

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Q: S tan ( – y) dy 4

A: ∫tany4-y dy=∫tany-4y4 dy=∫tan-3y4 dy Now put, -3y4=t⇒-341=dtdy⇒dy=-43dt

Q: (a) Show that the equation cos rdr + (1+ -(+)- sin rdy = 0 is not exact.

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Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

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Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: sin 4y w = y+1

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Q: (3) Estimate the error involved in using the approximation cos x = 1- for |x| < 0.01

A: To estimate the error involved in using the approximation cosx≈1-x22 for x≤0.01 The Taylor series…

Q: d (cos x) H.W.: show that -sin x %3D xp

A: Given: To show ddx(cos x)= -sin x Definition : Derivative of f(x) w.r.t. x is defined as:…

Q: 8. S (1+cos3x)² dx sin23x

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Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: The nth derivatives of sinªx is ㅎ4"cos(4x +

A: FALSE. SOLUTION IS GIVEN BELOW HANDWRITTEN DOCUMENT. nth derivative of sin^4x

Q: Evaluate ∫  (sin8t +20 cos9t) dt.

A: Use the formula for the integration of sin t and cos t. ∫sin t dt=-cos t+c ∫cos t dt=sin t+c

Q: How do you solve this and can you show me step by step?

A: Given equation is

Q: S sin 2xcos5dx

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Q: Find L(sin 2t cos 2t) inned with CamScanner

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Q: TI 37t y = In(sin x), 4' 4

A: Given,         y=lnsinx , π4,3π4

Q: 36. sin x dx, with 6 rectangles using the Right Hand Rule.

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Q: (a) S sin³ cos dx . 3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. S sin 2xcos5xdx

A: To evaluate:∫sin2xcos5xdx

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

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Q: Find L(tet sin 3t) CS Scanned with CamScanner

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Q: tan³ (In x) sec (In x) dx (8)

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Q: .15 S sin²4y cos>4ydy

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Q: Find [sin' xcos³ xdx

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Q: For y = – 5 sin ( 4x - its amplitude is its period is its horizontal shift is Enter exact values.

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Q: S sin*3xcos*3xdx

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

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Q: What is the value of k so that dx sin(kx2) = 6xcos(kx²) ?

A: Topic - derivative of a function

Q: 4. Use Walli's formula to evaluate 2 sin*x cos°xdx.

A: Given integral is as below:-                  ∫0π2 sin4xcos9xdx

Q: S(sin2z – 3cos2z)°dz

A: Here, (sin 2z-3cos 2z)2 =sin22z-6sin 2zcos 2z+9cos22z=sin22z+cos22z-3(2sin 2zcos 2z)+8cos22z=1-3sin…

Q: How close is the approximation sin x = x when|x |&lt;10^-3 ? For which of these values of x is x…

A: Given information:

Q: Evaluate sin 2t dt. t 8.

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Q: The slope of r = sin30 at 0 = " is: Select one: -3 2 O 1 O -1 O none

A: We have to find slope

Q: How would you evaluate∫cos2 x sin3 x dx?

A: Given: ∫cos2xsin3xdx

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

A: the aproximate value of sin44 = 0.6946 for approximation  let  y= sinx dy = cosx(dx)             x=…

Q: 1 dp- sin x cos x cos?,

A: