Instruction: Show all of your work and box your answers. 1) i) Find an equation of the tangent to the curve at the given point. I = Cos(30) + sin(20), y = sin(30) + cos(20); 0 = 0 ii) For which values of t is the tangent to curve horizontal or vertical? De- termine the concavity of the curve. x = t² - t -t- 1, y = 2t - 6t - 1 I =

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A: The given two lines are  r→(t)=<-2, - 5, - 8> +t <2, - 8, 8> r→(t)= <1, 3, - 4> +…

Q: 2. At what point greatest angle. on the line y = b does the line segment from (0,0) to ( a,0)…

A: To find the point on the line y = b  that subtend the greatest angle on the line segment from (0, 0)…

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A:

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A: Consider the given: To graph the given equation, v=38sinx.

Q: 3. Trace the curve: r = 2+3 cos 0.

A: Given that we need to trace the curve  r = 2 + 3 cos theta  Now,

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Q: QI: A) Find the nearest distance from the point (-4,2) and the line 2x-y 5

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Q: The force F (in pounds) on a person's back when he or she bends over at an angle e from an upright…

A: The given model is: F=0.6W sinθ+90°sin(12°) where W represents weight of the person in pounds.

Q: cosece c) Find a Cartesian equation of r : with 0< 0 < 2n . = tan e

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Q: etermine the period, amplitude, phase shift

A: Determine the period, amplitude, phase shift. y=-2sin(3θ+45°) -5

Q: 1) π.χ. (a) Find an equation of the tangent line to the curve y = tan at the point (1, 1). 4 (b)…

A:

Q: a) Provide a table of values for the function y = 3 sin 2x for values of x = "-2π," "-3π/2," -π,…

A: Given: a) Provide a table of values for the function y = 3 sin 2x for values of x = "-2π," "-3π/2,"…

Q: What is the period of this function? Y = sin 2πx Type in your answer using the keypad. The period of…

A: We know that, for a function                 y= a sin(bx)       .........(1) Period of function =…

Q: Consider the equation below. a) Show (1,2) is a point b) Find the slope there x) x² - 3xy + sin(y-…

A: Consider the equation below

Q: 2. What angle does the tangent line to the curve the x-axis? y= sir sin 3x at the origin make with

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