Find the area enclosed by one loop of the curve. (Show all work separately and submit on HuskyCT immediately after submitting your answers) r=1+ cos(20) A = [A]

Q: b. Prove that 2cot (20) = cot(0) - tan(0)

A: To prove the identity.

Q: nd an equation of the tangent line to the curve at each given point. x = 2 - 3 cos 0, y = 3 + 2 sin…

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Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: Find a function of the form y= A sin(kr) + Cor y= A cos(kr) +C whose graph matches the function…

A: Consider a sinusoidal function of the form, y = A sin(kx) + C               ...(1) Where,…

Q: (1.1) Calculate the following: (2² + y? – 3xy + sin(x²y+ y?)). -

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Q: 20. tan (20) = -1 %3D

A: We have to find the value of θ.

Q: Question 1 Determine 1.1 y= of the following and simplify if possible. dx x√√1 + x² 3x

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

Q: 2. Given the function g(t)=sin* ( tt )+sin (21), find g |, g'(1), and g' (Recall that sinx = aresin…

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Q: of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form y = mx + b.

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