Find T, N and B for the curve r(t) = (5 cos(2t), 5 sin(2t), 5t) at the point Give your answers to two decimal places T(0) - Ń (0) - =

Q: d) An ice cube of 16 cm3 is melting on a mesh as shown below. Each side of the ice cube is melting…

A: We have to use derivative as rate of change

Q: Find the directional derivative of the function f(x, y) = xy at the point (x, y) = (-4,-6) in the…

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Q: 8) Salve the limuur homegeneous system with the imiter l condibion ] and xl0) - [ 13 ] -13

A: We will find out the required solution.

Q: (a) Compute the arc (1,3, 1/3). F(t) = (t, 3, t) between the points (0,3, 0) and length of the curve

A: These 2 are unrelated problems as anyone can be solve without any help of another. So by Bartleby…

Q: The equation of a surface in spherical coordinates is given by p= 6. Rewrite this equation in…

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Q: Problem 2. Find A-1 and A using Cayley Hamilton theorem, where -3 0 -1 A = 0. 3 0. 8. 0. 3.

A: In Linear algebra,  Caley-Hamilton theorem states that, Every square matrix satisfies its own…

Q: Solve the equation. Check your answers. 2/3 - 1/3 +X X -72=0 X= (Type an exact answer, using…

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Q: Consider the solid region E inside the sphere x² + y² + z² = 4 and outside the cylinder x² + y² = 1.…

A: This question is based on 3-D geometry.

Q: Find the length of the curve r(t) = (2 cos(5t), 2 sin(5t), 5t) for −3 <t<4 your answer to two…

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Q: Question 2 Show that, for any natural number N, =WI Σcos(+ka) = sin (N+1) cos(+) sin Cic

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Q: z2 + 2z + 1 For questions 6,7 & 8: use I = o dz, C traversed CCW z2 +z Question 6) C: |z - 1| = 2

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Q: Kevin, Kyle, and Kara each scored a raw score of 80 on the test. In Kevin's class, the mean score…

A: In this question it is given that, Kevin, Kyle and Kara each scored a raw score of 80 on the test.…

Q: Evaluate the integral. 7x - 6 -dx (x+4)(x² + 1)

A: We have to find solution

Q: 5. Let B = {b1, b2, b3} and C = {c1, c2, C3} be bases for a vector space V. Suppose that b1 = c1 +…

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Q: x+1 ²+1 sin(x² + y²) dy da equals sin(x² + y²) dx dy y-1 O ² sin(2² + y²) dz dy

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Q-1 Solve the Boundary value problem (D² – 3D + 2)y = 0, given that y(0) = 1, y(1) = 0

A: The given differential equation is a homogenous differential equation .   We have , D2-3D+2y=0 We…

Q: b) The outputs below show two regression analysis of some variables in an excel spreadsheet. Output…

A: Anova is used to measure the mean significance between the group of treatments. It is extension of…

Q: 个 Find dw when r = 5 and s= -5 if w=(x+y+z)², x=r-s, y = cos (r+s), z = sin (r+s). aw ər r = 5₁ s=…

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Q: Solve. √y-3+√√y=3 The solution(s) are y = (Use a comma to separate answers as needed.)

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Q: . Solve the following system of linear equations 2t 3x + + 4y 8y + 5z + 3u - 9t + - -1 -

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Q: Question Find the pdf of random variable Y as a function of the pdf of the random variable of X, if…

A: Dear student,  If you find this solution helpful please upvote ? it.   (Note: Please post the second…

Q: Find the speed of the curve F(t) = (4t²-3, 7t-3, t³ +7t) at t = 2 Speed 42 07/06/2023 07:44

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Q: 0. 2 (1-7) ² n=1 any series test applied and show all work to justify your conclusion. Determine if…

A: Let,    We can find above series convegent or not by root test.

Q: 4. You have 20 ft of wire that you want to cut and fold into two different shapes, a circle and a…

A: This is a problem of optimization.

Q: Does the the paraboloid z = 1 – 2x² - - y² have a tangent plane at some – x + y + z = 1?

A: Introduction: Let P0=(x0,y0) is a point in the domain of f, and S is a surface defined by a…

Q: Let D be the region that consists of points (x, y) such that 1≤x≤3 and 2 ≤ y ≤ 6. Suppose the…

A: Let D be the region that consists of points (x, y) such that 1≤x≤3 and 2≤y≤6   Also given that the…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: 2- Write the central difference numerical scheme for solving the the non-linear ODE

A: We have to give the central difference  numerical scheme for solving non linear ODE.

Q: Find the total differential df to the function f(x, y) = x²y – xy? when x decreases from -2 to -2.01…

A: We will find out the required value.

Q: Use the Laplace transform to solve the given integral equation. f(t) = te¹ + ₁ + f(t-T)dT a.…

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Q: 1. Let A be a 10 x 15 matrix with 6 pivot columns. (i) What is the dimension of Col A? (ii) What is…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Given- Let A be a…

Q: Given f(x, y) = sin(x + y) where z = s³t², y − 3s – 2t. Find f(x, y) and f(x, y). Write answers in…

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Q: The following measurements x1 and x2 were made on a sample of four genuine ten pound notes. Genuine…

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