Find a function of the form y = A sin(ka) + C or y = A cos(kx) + C whose graph matches the function shown below: 9- .14 13 -12 -10 -2 -5- -7- Leave your answer in exact form; if necessary, type pi for 7. y =

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Q: 1 Show that L-1{ = (sin hat sin at) s4+4a4, 2a²

A: It is given that, L-1ss4+4a4=12a2sinhat sinat. A partial fraction decomposition of ss4+4a4:…

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A: Given that, x+a=a2cosθ-cos2θ⋯⋯1y=a2sinθ-sin2θ⋯⋯2 Squaring both sides of (1) and (2) and adding,…

Q: i) Show that the real solution of tanh x = cosechx can be written in the form x = In u + vu. Find an…

A: Note:  As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Thus, the graph of f(x) = 4 cos(X) (x, y) = ( ) (smallest x-value) (х, у) %3D ( (x, y) = ( )…

A: We will find the points as shown below

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A: The given function is: The general form of the cosine function is: where, |a| represents the…

Q: @7)) Sketch their graphs 65- y = 2 Sin ( X+T)-1

A: According to guidelines we are authorized to solve only 1 question please repost the 2 nd Graph of…

Q: 7. Show that sin E + x) = G+x): = -cosx.

A: Introduction :

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Q: Differentiate implicitly cos(x³y³) = 9

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Q: Show that L-1{ = (sin hat sin at) s4+4a4, 2а2

A: To find Inverse Laplace transform of ss4+4a4: write ss4+4a4 as  ss2+2a22-2as2 Then the denominator…

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A: Here we have to use linear approximation formula.

Q: 6) What is the period of the function f(x) = 7sin(2x) – cos(5)? Is the function g(x) = 7xsin(2x) –…

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Q: If sin u  = 3/ 5 and sin v = 4/5  and that u and v  are  between  0 and π/2,   evaluate :     cos (…

A: given: sinu=35 sinv=45 and u and v are between 0 and π2. we have to evaluate cos(u-v)

Q: 12 "2 If Y= \n(Sinae), Prove y =y=- ノ

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A: Given: cos θ=-16 &amp; π&lt; θ&lt;3π2 To determine: sin θ

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Q: 9 If f(0) = cos 01 cos 02· cos 03 ... cos On + tan 0,}=- f (0) Show, {tan 0, + tan 02 + tan 03 +…

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Q: 1. Use the Intermediate Value Theorem to show that there is the solution to the equation cos(x)=x in…

A: Given cosx=x

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Q: Obtain graphically an approximate value of the lowest root of cos x cosh x =- 1.

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Q: Use the Intermediate Value Theorem to show that the equation () 2021 E) - cos(t) = 0 as at least one…

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Q: 2. Write –2 cos x – 3 sin x in the form R cos(x – a) with -7 < a < T. Round to three decimal places.

A: Answer is given in asked form.

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A: We can solve the given problem as follows:

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Q: 14. Evaluate cos 3x+ dx. 2

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Q: 35. Use property IV of Appendix A to verify that 1 L'{arctan(a/s)} =sin at

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Q: 2. Suppose tan x = 3 -- with < x < 2n. Find the exact value of cos ). Show you work carefully. ensem…

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Q: If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2

A: Let's solve  for x value.

Q: (3) (a) Express cos(3r) in terms of sinx and cosr. (b) Prove that -cosz 1+cosI tan %3D (c) Sketch…

A: (3)  (a)  express cos(3x) in terms of cosx and sin x.       (b)  prove that 1-cos x1+cos x=tan2 x2…

Q: 05 of the ac 42. Use the identity sin 2x = 2 sin x cos x to find the derivative of sin 2.x. Then use…

A: Find the derivative sin2x

Q: 22 Evaluate s cos (Iz)e dz

A: Formulae used: ddxcosx=-sinxddxsinx=cosx∫eaxdx=eaxa∫cosxdx=sinx+C By party integration formula…

Q: 9 If f(0) = cos 01 ·cos 02·cos 03 ....cos 0n %3D Show, {tan 0 + tan 02 + tan 03 + ... + tan 0,}=- f…

A: First note the results derivative of log x is 1x and derivative of cos(x) is -sin(x). The proof of…

Q: How do you solve this?

A: Given that cos x = 1/3 and x is in the interval (0, π/2).sin y = 1/2 and y is in the interval (π/2,…

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

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Q: Show that, for real values of x, 3 sin x f(x) 2 + cos x cannot have a value greater than 3 or a…

A: To show that the minimum and maximum value of the function is -√3 and √3

Q: 2 If the identity COS x = 1 – sin“ x was verified graphically then the graphs of y = cos x and y = 1…

A: Please refer the attached image for complete solution.

Q: The position of a particle moving in a straight line is given by s(t) = e-*cos(5t) for > 0, where…

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Q: 3 Differentiate: y = In cosh° (cos 2x)

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Q: Differentiate  cos(t^2 - 6)

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