4. Given the function: y- cos(2nx-n). show your wwork to identify and label: a) amplitude b) perlod c) vertical shift d) phase shift

Q: ぶd Use he Sinen graph below to fex)dx by using seomedic areas.

A: Given: The graph of function as To find: ∫08fxdx by using geometric areas.

Q: H.w Find the enlsed between yasinx, ya cas X arca

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A: The given sinusoidal function is: Tx=16.11sin0.51x-1.75+9.14   ......(1)where T is the temperature…

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Q: The slope of the tangent line to the graph of f(z) COS at a is Select one: O a. 00 2 Ob. 2

A: we hav eto find the slope of the tangent line of the given graph at a=π/2

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A: Hereb graph is given so amplitude is the maximum value of graph and period is from where graph…

Q: showw that the c'ffective value or (r.m.s) f sin- Wave Current w.th peak current Im in Im Im to wt

A: In this question, the effective value or r.m.s. value is calculated using the concept of…

Q: Let y = (sin x+ cos r)e , x E 0, 27. Then the x coordinates of the inflection point(s) of this…

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Q: In the electric effect, the work function of the any metal independent on the light Intensity ylgn O…

A: We need to say whether true or false to the statement " inthe electric effect,the work function of…

Q: Find the Lengeh fror the foclowing Curves Dr= I+ Cos9 D rel-coso |

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Q: Find the speed at t = π/4 of a particle whose position at time tseconds is c(t) = (sin 4t, cos 3t)

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Q: Suppose the position function of a particle is given by r(t)=(√3 sin(t), t-2, √3 cos(t)). If the…

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Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

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Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A cos…

A: x=AcosCt+B Differentiating wrt t, we get  x'=-ACsinCt+B Again differentiating, we get…

Q: e Consider the CuLue defined by the eguation Y+ cos y = x+| for 0<y < 2TT. WIite an equation for…

A: Given that the equation is y+cosy=x+1,0&lt;y&lt;2π. It is required to write the equation of the…

Q: dy Find of the following functions. dr (a) y = sec(4r?) (b)y = sin4x + cos7x (c) y = cot (v4– 2²)

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Q: Graph the curve described by the function, indicating the positive orientation. r(t) = (2 cos t)i +…

A: The given function is- r(t) = (2cos t)i + 3j + (2sin t)k, for 0 ≤ t ≤ 2π

Q: (a) Give the equation of the tangent function with the following: Vertical stretch/compression = 8,…

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Q: After applying change of coordinates to the following function, the new integrand should be g²+y?…

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Q: Determine the value of the arbitrary constant C: e" (ev – )cosa )cosa dy el sin2x, y(0) = 1 Select…

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Q: consider the analog signal x(t) shown below. The Nyquist rate is X(t)=3cos(507t)+sin(200 at) O 200…

A: Nyquist rate

Q: At what point does the cosine function y = cos x, cross the y axis? O (T, 0) O (0,0) O (1,0) O (0,1)

A: Given  function is y=cosx. We have to find the point at which the function y=cosx cross the y-axis.…

Q: cos(x) dx

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Q: O Find the inde frinite in tgal 曲 A cos (2¢) df

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Q: Y = = ecos(x) + cos(e*)

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Q: Let / = x tan(x) dx. The approximation of I using the two-point Gaussian quadrature formula is:

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Q: Plot the following signals in the time range 0sts 30 sec, and determine if these signals are…

A: Solution a: Given x[n]=sin10n Comparing with sinωn So we have ω=10 Since we know ω=2πf⇒10=2πf⇒f=5π…

Q: Let C be the curve parameterized by Y: [0, b] R³, y(s) = (12 cos(s²), 12 sin(s), 9 s²). Find b>0…

A: The given problem is to find the value of b for which the given length of curve of the given…

Q: Show that the function e cosy ti Siny) is an andlytic Runction 2 W= Sin Z Q2. Determine whe ther…

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Q: Given the equation r In(y) = z Arctan(3*y). Assuming z as a function of variable dz and y, find

A: The given equation is xln(y)=ztan-13zy ........................................ (1)  Here z =…

Q: 140 W

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Q: S arctan y dy y3

A: Let's evaluate given integral.

Q: H.w Evaluate;- Cos TT lt-1)idt

A: To evaluate:  1) ∫-∞∞δt-2e-tcosπt-1dt2) ∫03∫-∞∞t2+4δt-τdτ dt

Q: Suppose that the radius r and area A = pai r2 of a circle are differentiable functions of t. Write…

A: Given, Radius = r Area = A= pi*r^2

Q: T/2 cos" e sin 0 de by by (a) a substitution, and by (b) using the gamma Evaluate function, and then…

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Q: For which values of t is the curve concave upward? x=cos(2t) y=cos(t)

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Q: The motion of a cam is defined by the relation @=0.30t(12-t2) where @ is expressed in radians and t…

A: We are given : θ=0.30t(12-t2)=3.6t-0.30t3 Angular Displacement at t=4 : θ(t=4) =0.30(4)(12-16)=-4.8…

Q: Match the following terminology for sinusoidal waves with the variable or formula that represents…

A: Trigonometry Question

Q: A particle moves according to the position function s (t) = e2t sin (3t). %3D

A: Definition used -                        v(t)= dsdt                       a(t)=dvdt=d2sdt2…

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Q: Given the implicitly defined function 6. cos (2*y) – y* - cos(2r) – y? dy and dr dr find at the…

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Q: Show that d?y dY + cot o- +a(@ + 1)Y = 0, 0 < 6 < T, do is transformed into Legendre's equation by…

A: Given:

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A: Given: y=25sinx-πy=-13csc2xy=5cotπ--8y=-6cootx-10y=5sec(2x+2π)y=-3tanx2

Q: Let f(x, y) = 4e + arctan () Match the following.

A: Given,  fx,y=4exy+arctanyx…

Q: 5. Given the equation xy = Arctan(ye*) where z is a function of a and y, Əz əz find and ar ду

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Q: T= 8 cos 30. with /met: A =

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Q: Find a function u(r, 8) that is harmonic outside the unit disk, equals f(0) = 2 sin(30) + 4 cos (50)…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find a trig substitution r = f(@) that makes 1 dr = cos 0 de. (V4+)3

A: Here we have to substitute x =f(θ)