Curve analysis Carry out the following steps for the given curves C.a. Find T(t) at all points of C.b. Find N(t) and the curvature at all points of C.c. Sketch the curve and show T(t) and N(t) at the points of C corresponding to t = 0 and t = π/2.d. Are the results of parts (a) and (b) consistent with the graph?e. Find B(t) at all points of C.f. On the graph of part (c), plot B(t) at the points of C corresponding to t = 0 and t = π/2.g. Describe three calculations that serve to check the accuracy of your results in parts (a)–( f ).h. Compute the torsion at all points of C. Interpret this result. C: r(t) = ⟨3 sin t, 3 cos t, 4t⟩ , for 0 ≤ t ≤ 2π

Q: Determine the length of the curve r(1) = t*i+ t°j – 5k, 4 <1 < 1. %3D Give your answer correct to…

A: Given curve is  r(t)=t4i+t6j-5k,    1≤t≤4

Q: Determine if the curve is concave upwards or downwards at P(4,0).

A: Consider the given parametric curve,

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

A:

Q: - Use the graphs of = irection in which the curve is traced as t increases. = f(t) and y = g(t) to…

A:

Q: Consider the following curves: r₁(t) = (sint, sint, √2 cost), r2(t)=(√2 cost, √2 sint,0), t = [0,…

A: As per the guidelines repost the other question.

Q: .. Find the radius of curvature of the following curve at the given point. Then write the equation…

A:

Q: Q2: AIFind T, N and Kof the curve r(1)=(rr3)i+(?2)j

A: We have to solve the given problem.

Q: Given the curve with parametric equations, find the slope and the equation of the tangent line at…

A: Here we have to find the Slope of tangent line at indicated points . We are given parametric…

Q: a) Sketch the curve r (t) = Name the curve.

A: We'll answer the first question, since the exact one hasn't specified. Please re-submit you would…

Q: Consider the following parametric curve. Use the information to answer parts ​(a) and ​(b).…

A:

Q: (x – 2)2 + y² = c² %3D

A:

Q: -20 sinh(2a) 2 O True O False

A: We need to tell if the statement is true or false. this can be done as follows:

Q: Consider the curve r(t) = (t sin t, 1 - cos t), for 0≤t≤2π. a. Graph the curve. b. Compute the…

A: I have appended the formula used in the solution procedure.According to our guideline we are…

Q: Sketch the curve r = 1/2 θ (the spiral of Archimedes) for θ between 0 and 2π by plotting the points…

A: The curve is  r=12θ ;0,2π The table with the values  θ 0 π4 π2 π 3π2 7π4 2π r 0 0.392 0.785…

Q: The S.S. Minnow leaves port (whose coordinates are (0, 0)) and heads out to sea for a three hour…

A: The graph containing the position of the light house and the movement of the ship is shown below.…

Q: (*v² + ) ( - 3xy x°y + 5xy ) dy corresponde a: Una expresión que permite calcular dx + -IL (-*y+5y –…

A: We will use the green's theorem to solve the question.

Q: Find the length of the curve. r(t) = 8i + t2j + t³ k, 0sts 1

A:

Q: Consider the following parametric curve. Use the information to answer parts (a) and (b). π x =…

A: Solution :- given that                   x = cost , y = 9 sint and t = -(π/2)                Now we…

Q: A plane curve has parametric equations x(t) = t³ and y(t) = t° +313. An expression for the rate of…

A:

Q: (c) Find all curves y: R → R² such that y(t) = y(t) and y(0) = (1, 2)

A: Cur

Q: For the given parametric curve (a) sketch the curve over the given t-interval, indicating the…

A: To find - correct graph for the given parametric curve and the lowest point of the curve.