Graphing a Parametric Surface
In Exercises 13-16, use a computer algebra system to graph the surface represented by the
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CALCULUS EARLY TRANSCENDENTAL FUNCTIONS
- What does x = 4 represent in xy-plane? Sketch this 2D representation. What does x = 4 represent in space? Carefully sketch this 3-D representation.arrow_forwardyi – aj (x2 + y?)4 Consider div (a) Is this a vector or a scalar? scalar (b) Calculate it: yi-zj div (1²+y²)ª +arrow_forwardvector projectionarrow_forward
- Calculus 3: Given the Space curve r(t) = (cos(t), sin(2t), Sin (1.5 t)): of the domain domain interval [0₁_] such that curve is traced once. Explain How this makes sense given Vector function, (hint: Set t = end of one cycle on unit circle ↳ Find LCM) a.) determine the end entile the 6.) Calculate r'ct) & r"(t). Show Your work. C.) Calculate the unit tangent Vector, T, at t = = = . Show Your work. d.) graph r(t) & r' (t) } ["(t). Include this graph. Make sure to identify the Vectors. e) clear the velocity & acceleration vectors, graph the point on curve at t==1/giph r(t), r (16), and I at this graph. the the Point. Includearrow_forward(a) vector form (b) parametric form (c) cartesian formarrow_forwardFind a vector equation and parametric equations for the line segment that joins P to Q Р(1, 0, 1), Q(7, 8, 1) vector equation X r(t) x(t), y(t), z(t) parametric equations = Xarrow_forward
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