create a sinusoidal curve picture using geogebra  include the vector valued function  include the integral that calculates the length of the curve estimate to the nearest hundredth  use measurements 8,10,12, or 14 feet.

Q: Relationship between r and r' Consider the circle r(t) = ⟨a cos t, a sin t⟩ , for 0 ≤ t ≤ 2π, where…

A: Concept: The calculus involves the study of rate of change, which is used to calculate the objects…

Q: Triangle ABC can be taken to triangle A'B'C' using rigid motions and a dilation. The scale factor…

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Q: Question 3. Denote by a, b the lines with the Cartesian equations y = 0, x = 0 respectively, and i…

A: a, b denote the lines with the cartesian equations and . Also

Q: 11. A plate in the form of a parabolic segment of base 12 m and height of 4 m is submerged in water…

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Q: iength ofJTA. B) 10

A: The given data is:   To find the value x.

Q: Let the curve below be represented by the parametric equations: x- t- 12t , y-t?-2t over the…

A: Consider the curve  x=t3−12t,y=t2−2t              over −2≤t≤4

Q: A schematic drawing of a 146-ft dome used by a weather service to house radar is shown to the right.…

A: We have to find the surface area of given curve.

Q: Find the work done by the force field F on a particle moving along the given path. F(x, y, z) = yzi…

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Q: Question 8 Tangent Vector, Tangent Line, and Angle between 2 curves Let F(t) = (4t³ + 3,t² +t¹,…

A: We find equation of tangent line.

Q: Find Concouity'cif possible sUat the given valke f the pacameter. dy/dx du ldae and find the slope…

A: Given functions,  Finding derivative with respect to . Slope means dy/dx at given value of theta.…

Q: Determine the moment of inertia of the area

A: For x-axisStep 1: solve for values y1 & y2Based in the drawing y1 = 0 & y2 = 80 Step 2:…