Find the arclength of a helix (i.e., one turn of the helix) given by r(t)=asinti+acost j+(√1-a²)t k 3л 4元 Z 2元

Q: U(-4,4)(4,c) the end behavior and what happens to the y-values as x approac- nction f(x). Identify…

A: Function: f(x)=2x2-25x2-16

Q: None

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Q: Q4] (15Marks) Sketch the curve r cose. %3D

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Q: How do the paths r1(t) = (cost,sin t) and r2(t) = (sin t, cost)around the unit circle differ?

A: Given :                   r1(t) = cos t , sin tr2(t) = sin t , cos t

Q: . Use a cofunction relationship to show that the product (tan 1°)(tan 2°) (tan 3°)· .…. ·…

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Q: For the z-coordinate of the north pole at N(11,9,12), how did you guys get 12?

A: Your question is why maximum value of z is 12?  I show this in two ways. Geometrically Analytically

Q: $ Evaluate clockwise. positiver sin z 22 +1 dz where y is circle C(0, 2) traversed once and counter-

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Q: h of the curve. spiral r = 502, 0s 0 < 2/3 720 3 3)(72+1)3/2-1) 40 280 D) 3. 8075

A: Given curve is Now, length of given curve is

Q: Q4: Find the length of the curve r = 3 – 3 sin 0

A: Solution:

Q: 3t? Find the length of the curve x = t, y 2 osts 13. 3 =

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Q: A line meets a curve y=2x-1 at the point (5,4). The line is tangent to the circde C:x +y² +10x+8y+…

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Q: Find the length of the curve. (2t + 1)3/2 2.y = Osts 16 x= 3

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Q: Find the arc length of the curve x = (10 – 2y)³/² ,-3 < x<

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Q: Find the length of the curve: r = 4cos³(0/3),0 < 0 < ? 2

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Q: The curves T1 (t) = (3t, t°, – 4t°) and r2(t) = (sin(5t), sin( – 2t), t) intersect at the origin.…

A: We have to find the direction vector first.

Q: Find the path of the sloping path y = x² + c such that θ = π / 4 is the angle between the tangents…

A: Slope = 1  Point are (a,b) So equation of tangent      Y-b = 1.(x-a)

Q: The curve is described by V(t)=Vm*sin(w*t+theta). Given V1= 7 volts, V2=-V1, theta=17.900 degrees,…

A: To find all parameter of given graph we need to first find Vm then use time period to find angular…

Q: Find the arclength of y 4x? + 4 on 0 < x < 2

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