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Q: Determine whether the function of f(x) is continuous at x = -1 x2 -1 f(x) ={ x +1 X + -1 -2 X = -1

A:

Q: 4. Referring to problem 3 above, estimate the minimum number of subintervals needed to approximate t...

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Q: Homework#1 Solve the following integral by using Beta function , and then in terms of Gamma function...

A: Explanation of the answer is as follows

Q: dy -6

A:

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A: Please see the answer below.

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Q: A point on the edge of a wheel, whose diameter is 7.aft, travels 1079.9uds in 531.0 Sec. How many ro...

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Q: Use l’hopitals rule to evaluate the limit

A: Using L hospitals rule

Q: 9. Use the Comparison Test to test for convergence. dx 1 x

A:

Q: QUESTION 3 3 Given that f(x) x+1 a) Find f'(x) using the definition of derivative. b) Find the equat...

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Q: Find solutions using Exact Equations 5. Solve (2t³ + 3y)dt + (3t + y – 1)dy = 0

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Q: write the given differential equations in standard form. (V)³ + y² + y= sin x

A: Given that: (y')3+y2+y=sinx

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A: We are asked to find the extrema and saddle points.

Q: sin(x) 7) Use the Taylor series for sin(x) to take the limit lim,→0 answer you get by using L'Hopita...

A:

Q: A particle is moving in the velocity of v(t) = . %3D Find the unit tangent of the particle's movemen...

A: Given- vt=&lt;9sint, 9cost,4&gt; To Find- The unit tangent of the particle's movement.

Q: A particle is moving in the velocity of v(t) = . Find the curvature of the particle's movement. Leav...

A:

Q: Evaluate the dy/dx> d) y=e-x((cos(2x)) a) -e-x(cos2x+2sin2x) b) e-x(sin2x-cos2x) c) 2e-x((sin(2x...

A: y=e-xcos(2x)differentiate w.r.t.xdydx==ddxe-xcos2x+ddxcos2xe-xddxe-x=-e-xddxcos2x=2sin2xdydx==-e-xco...

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A:

Q: Let n be a positive integer and let R = {a1, a2, a3, ... , an} be a nonempty set where a; are real n...

A: GIVEN: R = {a1, a2, a3,........, an}

Q: Given f(x,y,z) = cos(4xy) + sin(4z). Find fx(8,9,0). Leave your answer correct to two decimal places...

A: Solution

Q: (d) A function not continuous at 0 such that (f(x))4 is continuous at 0.

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Q: A particle is moving in the velocity of v(t) = . Find the curvature of the particle's movement. Leav...

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Q: b). Determine if the following matrix multiplications are allowed, and if so, give the dimensions of...

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Q: write the given differential equations in standard form. dy + dx = 0

A: Given differential equation is dy+dx=0 and the standard form is dydx+px=q.

Q: 2T and 3 5n using the pencil. -5, -- Plot the points with polar coordinates 3, 2n 2. 12 4. 11m w/

A: To plot the points on polar coordinates

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A: Given : C(t) = 3 + 15e–0.05t

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) =, and the initial ...

A:

Q: 1. Solve (y sin x + xy cosx) dx + (x sin x + 1)dy = 0

A: according to our guidelines were supposed to answer only the first question if you want any particul...

Q: 3. Find the area of the surface generated by revolving about the y-axis the part of the curve y = x?...

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Q: 2xy dy X - 2y = 0 dx

A: Use the method of substitution to solve the given homogenous differential equation. 

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Q: x² +3x -4 g(x) = %3D x+1

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Q: A particle is moving according to the pathwayr(t) = . Find the speed of particle at t = 7. Leave you...

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Q: (D³ + 6D² + 1iD+6) y=e² + cos x ; using MVP

A:

Q: Where do the absolute extreme values of the function occur on

A: The absolute maximum occurs at x=d and absolute minimum occurs at x=a at that interval [a,b]. Option...

Q: 10) Suppose the Taylor series for f(x) is ƒ(x) = 5+ 4x + x² – 6x³ + 8xª + ..... What are t first thr...

A:

Q: (c) For this question, navigate to the Wolfram Alpha website (wolframalpha.com) and type the series ...

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Q: (7) Does the extreme value theorem tell us that f (x) = ! has an absolute maximum and absolt minimum...

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Q: 224 – a24 Evaluate the limit: lim x - a

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Q: Find the sums given below. ( a) Σ 2k k=1 (b) k(k – 1). k=3 cos kT + k2 (c)

A: Here we have to find the sum of the given series,  b) ∑k=3nk(k-1)  

Q: Written Problem 2: Write a formal argument that uses the Comparison Test to show that 3 cosx+Vx dx x...

A: Answer is mentioned below 

Q: Use the power series solution at x0= 0 to solve the differential equation y''(x)+xy'(x)+(x2+2)y=0

A: