2. A model for the length of daylight(in hours)in Philadelphia on the tth day of the year as 27T (t - 80) 365 L(t) = 12 + 2.8 sin Use this model to compare how the number of hours of daylight is increasing in Philadelphia on March 21 and May 21.

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

A: Given,  sinhθ = 32  We have to find coshθ, tanhθ  and  cothθ.

Q: sinh2 (등)

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Q: 1. Use the trapezium rule to estimate the value of the following correct to four decimal places a) |…

A: 1a) It is required to estimate the value of ∫0π3tanxdx with 4 strip using trapezium rule.

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Q: (d) Differentiate the following with respect to x: (ii) 2x2 sin-(e-2*)

A: As per guideline we have to solve one question Please repost other question again

Q: 1. Find the value of A between 270° and 360° if 2sin²A – sin A = 1 |

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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: You were told that sin2x=cos3y a) Restate this as a statement of the form f(x, y) = 0 b) Use part a,…

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Q: Use TWO different methods to find the PS of the IVP: sin x + y cOs x = 0 ( y(7/2) = 2020

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Q: implicitly, if e"(e – 1) + sin(2r + 5y) = In(v7) -- cot(2x) Find

A: Implicit functions are thise functuon in which we can't separate variables. We have to difderentiate…

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A:

Q: Evaluate the function (a) sinh−1 0 (b) tanh−1 0 . If the value is not a rational number, round your…

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Q: n RL circuit has an emf given (in volts) by 4 sin t, a resistance of 100 ohms, an ductance of 4…

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Q: Suppose that at any given time t (in seconds) the current i (in amperes) in an alternating current…

A: For any function , ft , which is continuous and twice differentiable.f't=0 will give point of…

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

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

Q: Q2: find the integral of trigonometric function cos sin* dx

A: Given the integral is ∫0πcos5xsin4xdx

Q: Can i get help step by step?

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Q: sin(20nnt) AS(t)ln:odd = Ln=1 %3D

A: The Given problem is:…

Q: The length of daylight (in hours) in Proton City on the kth day of the year 2020 can pe evaluated…

A: Given, The length of daylight (in hours) in proton city on the kth day of the year 2020 is evaluated…

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A: Given:

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: 3. Determine the equation of the sine function shown below: YA y 3 2 30 60 90 120 X IN 11 60 90

A: Given a graph we have to find the equation for sine function. The general function has the equation…

Q: Please find all 0 <o< 2m, for which .. (a) tan (을) =D v3 (b) 3 sin²(0) + 4 = 5 (c) 2 cos(ln(x² + e")…

A: As question has many subpart we are giving solution for first three subpart. If you want solution of…

Q: The velocity, v ms-1, of a fairground ride t seconds after it begins is given by v = (3e-t + 7)sin t…

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Q: Sketch, on separate graphs, each of the functions : (i)sinh(x). (ii)cosh(x). (iii)tanh(x).

A: Hyperbolic functions: These functions are defined as the algebraic expressions of the exponential…

Q: .... 2. .... 10 .... 50 Show work: trig ratio (sin, cos, or tan) of L = trig ratio: =7°

A: tan 50∘=pq Here, p represents opposite and q represents adjacent. p=x and q=10 Substitute the value…

Q: 3. Evaluate tan¹x² 1+x dx.

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Q: 1. The water temperature in degrees Fahrenheit at St. Petersburg, FL can be modeled by f (x) = 12.4…

A: topic - trigonometric functions

Q: 6. (a) e' sinht (b) 3e2 cosh 4t

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Q: Evaluate the function (a) sinh 3 (b) tanh(−2).     If the value is not a rational number, round your…

A: a). sinh3=e3-e-32     ∵sinhx=ex-e-x2=10.0178≈10.018

Q: If you are going to evaluate the integral f dx using trigonometric substitution, the answer is 2(tan…

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Q: A 125 m cable weighing 2 kg.s per m is suspended between two towers at the same level. The sag is 9m…

A: The equation of sag is  S=wl^2/8T The equation of catenary is  Y=a*cosh(x/a)

Q: 22. Given that sinh 2 =, the value of cosh z is A. +- В. D. 4

A: Given: sinh x=34

Q: When do these values occur?

A: Given: On considering the oxygen level at  time t ∈ [0, π] L(t) = 90 + 10 sin(2t).

Q: 4. The height h in centimeters of Shuntaro's pogo stick from the ground as he jumps on it since s…

A: We have to find the height at given times.

Q: (c) Prove, using the definitions of sinh and cosh in terms of the exponential function, that…

A: The solution is given as

Q: 0.74 sin(7x?) dx.

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Q: Suppose that the temperature (in °C) in Toronto on April 22, 2021 from 9 am to 9 pm is modeled by…

A: It is given that, T(t)=10+sintπ12 and here t represent the number of hours from 9 am to 9 pm. t1=0…

Q: Express the following as an algebraic function of x. sin(arctan(2x) – arccos(2x))

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Q: 4. Evaluate if they exist: (a) sinh x dx (b) lim , sinh x dx r+00

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Q: Given the graphs of y = sinx and y =e* - 3 in the Figure Q1(e). Find the root of sinx=e* - 3. y 15 +…

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Q: 4. Evaluate the following integral by trigonometric substitution [Apply the method that was taught…

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Q: Using the Taylor's formula calculate cos 9° n=5.

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Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

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

Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

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Q: 4. Find an arc distance t, between 0 and 2 (0 ≤ t ≤ 2π) such that sint = sin (117).

A: The given curve is sint=sin11π6 between 0 and 2π

Q: Calculate SN given by Simpson's Rule for the value of N = 6. 1 cos (4x?) dx (Round your answer to…

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