Match each graph of a Trig function with its e 27/3 TT/3 y = arcsin(x) y = cos(x) y = tan(x) y = arccos(x) y = arctan(x) y = sin(x) -TT/3 -2TT/3 0. TT/3 2n/3

Q: 1. Find the slope of the tangent line at the indicated value for each function. Show all process…

A: Differentiate the given function with respect to x and then put the given value of x in the…

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Q: Find the length of the graph of y = (1/2) cosh 2xfrom x = 0 to x = ln 25.

A: Length of the graph y=f(x),a<x<b is given by L=∫ab1+dydx2dx Here,  y=12cosh 2x⇒dydx=122sinh…

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Q: V3 B) If sinh 0 Find cosh 0, tanh 0, coth 0. %3D 2

A: We are given with sinhθ=32. We need to find some other trigonometric functions. Use the relation…

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Q: Determine dy/dx if xy = ecsch(xy)+πcos(0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. When a pendulum 0.5 m long swings back and forth, its angular displacement O from rest position,…

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Q: determine the annihilator of the givenfunction F(x) = sin4 x.

A: We have given function; F(x) = sin4 x.

Q: A ( sinh x- coshx tanh e 6)

A: You all need to have the idea of hyperbolic and their basic calculus.

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Q: Solve : 1. Cos t dt t2 lim a

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Q: 1.4 Compute the value of ₂ (sin x − log x+.e* ) dx using Simpson's th rule. 8 0.2

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Q: 1 10. Use definite integrals to show that the graphs of f(x) and g(x) = - have the same arc length…

A: Given: fx=1x and gx=-1x To Show: Use definite integral to show that the graph of fx and gx have the…

Q: 1. The air in a certain room 150 x 50' x 12' tested 0.2% CO2. Fresh air containing 0.05% CO2 was…

A: Solved below

Q: dr (c) (d) lim sint dt

A: Given:

Q: log, eln 5)(arccos(x)) simplifies to a) arccos(x) b) cos(x) c) None of these O d) 5 arccos(x) O e) 5…

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Q: / (3cosh m 2 cosh m sinh mdm +e°

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Q: 2. Find a root of f(x) = 6 Sin (x)e* + 1 using Newton Raphson Method accurate to 5 decimal places.

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Q: 54, y = (ln x)cos* cos x %3D

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Q: Graph the function defined as follows over a two-period interval.

A: It is given that,  y=-12cos x It is known that general equation for such functions is given as,…

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A: Given equation is y=5sin3x   .....1

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Q: -1 [cos'x { v(1-x)}]'dx log.{1*(= 1+( sin (2xv(1-x²)) TT

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Q: 8. The graph of the function t 0<t<n 2n-t n<t<2n f(t) = within and outside of the given range,…

A: Plot graph of f(t):

Q: 12. Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the arc length: f(x) = (x³ + 5)ž – log x? from x = -1 to x = 3

A: Given:          f(x)=43x3+552-logx2       from x=-1 to x=3   Arc length =∫ab1+f'(x)2dx    here a=-1…

Q: Example Let sinh(2)e f(2) Find the residue at z = 0.

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Q: Determine the length of the arc y=ln(cos x) for 0≤x≤π3.

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Q: =1+ cos (x) x2 + 12x + 20 -dx 1 + cos² (x) 0. At what value of t does the local max of f(t) occur?

A: Given that f(t)=∫0tx2+12x+201+cos2 xdx To find the local maximum of f(t) at t:

Q: 1. Use Newton-Raphson method to find sixth iteration of a real root of the equation: cosx-xe* =0…

A: Formula Used: xn+1 = xn - { f(xn) / f'(xn) } .

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A: This question can be solved using the concept of L HOSPITAL,'S RULE.

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Q: 5. Explain in words what the output of sinh (y) geometrically represents. ule

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Q: Find the exact value of the function: 0 6 arccos (-/-)

A: See this solution in below

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Q: Find a solution of Airy's equation in powers of x − 1.

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Q: Solve the definite integral e(arcsin(r)) dx. V1- 22

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Q: arc sin z = -i log(iz + V1- 22).

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