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Part A
Part B
Part C
Find the curvature of the curve defined by F(t) = 227 + 5tj K= Evaluate the curvature at the point P(54.598, 10). Find the Tangent vector, the Normal vector, and the Binormal vector (T, Ñ and B) for the curve F(t) = (4 cos(5t), 4 sin(5t), 2t) at the point t = 0 T(0) - N(0) = BO) - Find the Tangent, Normal and Binormal vectors (T, Ñ and B) for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t)...
help please with steps 150 days ago Highight Rotate Markup (5) You have already computed an arc length when you did Written Homework #1. (a) Which problem was it? (b) What was the curve? Give your answer as a vector-valued function F(t) defined on a specific interval a < t< b. (c) In a similar way, use integration to compute the arc length of the following curve: E&) = ( 2 + 3t, 1 -4t, -4+3t), 1 <t< 6 For...
please answer both parts of the question. part A: Part B: Write an equation for the polynomial graphed below 5 + 4 2+ 1 23 /4 -5 -4 3 -2 -1 -1 5 -2 -3 -4 -5 y(x) = Preview The polynomial of degree 4, P(x), has a root with 2 and roots with multiplicity 1 1. Given that P(x) goes through the point (5, 54), find a formula for P(x) multiplicity 2 at x at x 0 and x...
The answer is 132. Please show step by step thank you. The topic is Lines, planes and space curves. Find the arc length of the curve 3 zSA 9346=(1)u 32 from the point (0,0,0) to ( 36,96, 54 The formula for arc length is given by t=b Pl(2) t=a Here we can observe that the time at the first point is t=0 and at the second point is t-4. So we have that F (t)|=81+4x54t+4x36t2 It follows then that the...
PART B PART C PART D (1 point) Find the Laplace transform of f(t) = 3uſt - 2) – 4uſt - 3) – 5u(t – 5) F(s) = 1 (1 point) Consider the function f(t) = 0, t < 0 -5, 0 < t < 2 2 <t<81 4, t> 8 6, 1. Write the function in terms of unit step function f(t) = (Notation: write u(t-c) for the Heaviside step function ue(t) with step at t = c. For...
question #6 1. Sketch the following surfaces: (a) z-+y2/9 (b) a2 =y2 +22 (c) 2/4+(y-1)2+(z+1)/9 1 (d) r2+y-22+1 0 (e) -y2+-1 0. 2. Find an equation for the surface consisting of all points that are- point (1,-3, 5) and the plane r = 3. 3. Sketch the curve F(t)<t cos(t), t sin (t), t > 4. Find a vector equation that represents the curve of the intersec r2y =9 and the plane y + z = 2. 5. Find a...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
Please help me on the following homework problems, thank you! 1. Let C be the parametric curve given by (x(t), y(t)), whose graphs are shown below. Both consis t entirely of quarter-circles and line segments. The domain of this curve is [0,10] x(t) y(t) 4 4 0 1 2 3 4 5 6 7 89 10 t 0 1 2 3 4 5 6 789 10 t (a) Find the area of the region in the xy plane bounded by...
Solve C and D part please Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.(Can you name the curve?) (a) r = sin 0, y = cos, - SOST (b) x = 4 sect and y = 3 tant 3 3 (c) r=-1+ z sint and y = cost for -A <t <3 (d) x = cosht and y cosh 3t (no need to sketch...
Explain how to find the critical value, T* with a graphing TI-84 calculator. round critical t-Values to 4 decimal places (8 points) Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t* for the given sample size and confidence level. Round critical t values to 4 decimal places. Critical value, t* Sample size, n Confidence level 19 9 0 24...