Find torsion of the motion r(t) = < cos 4t, sin4t, 13t >. Leave your answer correct to two decimal places.

Q: INTEGRAL Evaluate the following: S(a- S (a – x)-³dx 3.

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Q: Given the function: f(x, y) = 3x°y² – 72²y+ 5x – 4y Find the folowing: show complete solution fzy(x,...

A: Given:      fx,y=3x3y2-7x2y+5x-4y   a) fxyx,y:     fxyx,y=∂2∂y∂x=∂∂y∂∂x      fxx,y=∂∂x3x3y2-7x2y+5x-...

Q: Calculate the left Riemann sum for the given function over the given interval using the given value ...

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Q: just answer p2(x), p3(x), and p4(x). and please box your answer and make it clear. thank you

A: This is a problem related to derivative of the function. Maclaurin series is nothing but Taylor seri...

Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated list...

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Q: 3 ť'y" +7t y' +1o yoo

A: A detailed solution is given below 

Q: (MULTIPLE CHOICE) Which of the following is(are) differential equation (s) with homogeneous coeffici...

A: To determine which of the following is(are) differential equation(s) with homogeneous coefficients.A...

Q: Question 3 Evaluate dt A 313-1+C B 12-1+C c) 312-t+C D 312– 31+ C

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Q: cln /3 2e" Ve2x +1 dx

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Q: Evaluate the limit lim, 5 a. 2 b. 0 C -1 x d. I

A: Given: limx→5 x+11x-1

Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: Let sk En(0.1)" n=1 Find s9.

A: Given that sk=∑ n=1k n (0.1)n -(i) Our Aim is to find s9=?

Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's ve...

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Q: 8x2 + 2x + 3 p: x(4x² + 1)

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Q: Evaluate f tan²xsec*xdx using trigonometric integrals

A: Our Aim is to evaluate the integral given below:-∫tan2 (x) sec4 (x) dx -(i)

Q: Use geometry (not Riemann sums) to compute the integral. dx 3 Enter a pumber

A: The given integral is  ∫12 x3dx

Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: ADDITIONAL ACTIVITIES A. Calculate the following. Write only the answer 12! 1. 5!-3! 4. 4!(10-1)! 3!...

A: According to guidelines we solve only first three parts. So, again upload 5th question. Thank you. 

Q: dx Evaluate f- using trigonometric substitution x²(2+x²)

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Q: Question 1 Consider the function (x²y² – y³ x2 + y2 if (x, y) # (0,0) f(x, y) = %3D 0, if (x, y) = (...

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Q: Determine the standard form of equation of a hyperbola with foci at (-1,0), (1,0) and one of its asy...

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Q: Instruction: Solve the following indefinite integrals. Show complete solutions.

A: Question no. 11,Given,            ∫xsec1+x2dx

Q: Question 8 Evaluate dx A © VF-Vi+c

A: Given :∫3x2-2xdx

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: Question

A: We will find the value of sin theta. 

Q: Evaluate and graph the following: 1. lim(4 x) X-2 (x²-2x-3 lim 2. 海() x-3 x-3

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Which of the following is the general solution to the differential equa · (x – /x² + y² )dy = 0 ? dx...

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Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its ...

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Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: This question is based on finding inflection point of function.

Q: If y = 3x3 + 2x and dx 5, find dy when x = 2. %3D %3D dt dt dy dt %3D

A: Given, y=3x3+2x  and dxdt=5 We have to find dydt when x=2  

Q: 1 cot е. n=1

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Q: V1+x3 –dx r-2

A: ∫1+x33x-2 dx∫x2.1+x33 dx13∫3x2.1+x33 dx13∫3x2.(1+x3)13 dx

Q: Find the derivative of 7 (t) = (1+t°, te¯t, sin (2t)) A. F'(t) = (3t°, (1 + t)e¯t, 2 cos (2t)) B. 7(...

A: We are asked to find the derivatives.

Q: Suppose that Miguel has traveled a distance of 1 km, and now he wants to convert distance into cm , ...

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Q: Given that is the series (k +1)4/4k+1 1+ k: 1 lim k→+0 lim k→+0 4 (-1)*;4 4k is the series condition...

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Q: A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rat...

A: radius of tank = 2m initial depth = 9m depth after 15 minutes = 4 m  

Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the Midpoin...

A: The solution is given below

Q: 10. Romeo is walking towards North at a rate of 4m/s. Ten seconds after, Juliet walks towards East a...

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Q: So* - y-³) dy 2.

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Q: Answer the question below: The student should find the local linear approximation of a function in t...

A: Let's find. 

Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the prob...

Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: Find the inflection points of each of the given curve.  3y = x3 + 3x2 – 9x + 3

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x) # 0

A: Let's find. 

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

A: We have to solve this given bernouli equation. 

Q: 2. Let r+1 I <-1 f(x) = { 2– Vr² + 7 [3r – 4] r 2-1 Determine if lim f(x) exists. r+-1

A: Find left and right hand limit and using L hospital rule. (Indeterminate form)  Since left and right...

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

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Q: y par e for JTx (inx)? dx. wtioni dv = %3D

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