4. Describe in words the curve in R³ given by the equation r(t) = (3 + 4 sint, -2 +4 cost, t), 0≤t≤ 2n? (You'll plot it in problem 5.) (Hint: The x- and y-components are the same as in problem 3. What is happening to the z-component?) The name of such a curve is helix.

Q: 7) Use your calculator to determine the point on the graph of y=Vx that is closest to the point P…

A: y=x3  and point (2,3) Find closest point on the graph y=x3 Every point on the curve has the form…

Q: 5. Find the length of the curve described by y - x3/2 from x=0 to x=8. 512√2 (C) 15 26 (A) 20 3 (B)…

A:

Q: 6. There equations. are two line through (-2,0) tangent to the parabola y = 4r. Find their

A:

Q: 11. What is the y-intercept of the line that is tangent to the graph of y =-x +4x at (1, 3)? a. -2…

A:

Q: 20. Which equation represents the same curve as y = 3sin (x – 50°) %3D a. y = 3sin (x – 230°) b. y =…

A: It is required to find the same graph as that of y=3sin(x-50o)

Q: Please andwer

A: This image is a logic puzzle. Let's analyze each statement and determine whether it is true (T) or…

Q: 4. A coastline is given by y2 = x+3 with the ocean being to the right of the curve. If a boat crew…

A: Solution

Q: Turn in the following problems: 1. Find equations for the two distinet tangent lines to the curve y…

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Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

A:

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Q: d Suppose that a curve C has implicit equation ax² + xy-2y² + b = 0, where a and b are constants and…

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Q: 1. Let C be the curve described by the equation x³ + 3x²y-xy² = 3. dy dz (b) C contains the point…

A: Equation of tabgent to a curve y=f(x) at a point (a,b) is given by y-b=y'(a)(x-a)see below the…

Q: Question 8: 3. Find the equation of the line normal to the curve defined by the equation xy - 5=x-…

A: (a) Consider the equation