Find dy of Using first principles

Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

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Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

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Q: = Z

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Q: ey are linearly dependent, find scalars a, b, and c, not all zero, such that au + bv + cw = 0 u = (1...

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Q: 2. z4+5²

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Q: (a) Show that the limit x*ycosy lim 12 (xy)→(0.0) 2x* +y² does not exist.

A: Student has specifically asked for the solution to question (a). 

Q: Use the Laplace transform to solve the initial value problem y" + 4y' + 3y = 0 y(0) = 2, y'(0) = –1 ...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: (-1)"n For positive integer n, let an = 3" Determine whether the sequence {a,} is convergent.

A: Determine whether the sequence is convergent ?

Q: a, Compute the Laplace transform Lf(s) of the function f(x) = x for s > 0. See Exercises 88–91 in Se...

A: Given that: a. f(x)=xb. f(x)=x2eαx

Q: Question 4 (а) Evaluate, with the order of integration being reversed, an equivalent integral of the...

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Q: For real number p, let f and g be defined by f(x) =e x and g(x)= 1/x, respectively, on [1,0). P. (a)...

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Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: The radius of the sphere is 'Rs' and radius of cylindrical driller is 'Rd'. When the cylindrical por...

Q: Transform the polar equation T - 6 csc 0 to an equation in I and y.

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Q: by’dx -x(2x° + y)dy - 0 ; y(1)=1 2.

A: Make this equation first linear then solve by finding integrating factor

Q: Evaluate the limit |t +5| lim t→ - (5) t + 5

A: we have limt→ -5-t+5t+5

Q: Let f(x, y) = (x+(G))'. Determine the directional derivative of f at the point (1,0) in the directio...

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Q: If  h(x) =    5 + 4f(x),  where  f(4) = 5 and f '(4) = 2,  find  h'(4).

A: Solution: Consider the function h(x)=5 +4f(x) f(4) = 5 and f '(4) = 2 (Given)  

Q: Given the matrix A= 3. Find 1. 2. QR factorization of the matrs A.

A: NOTE: Refresh your page if you can't see any equations. . 3 column vectors of matrix A are

Q: A point has rectangular coordinates (3, - 8). Convert to polar coordinates, with r 0 and 0<0< 27. (r...

A: let (x,y)=(3,-8)  

Q: 11. у" - у" - у +у%3D0

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Q: Integration. Evaluate the following

A: Given that: 1. ∫x2x3+7x-5x+10dx2. ∫y2+6y-3dy

Q: 1 Let f(x) = and calculate %3D x(In(x)) S(x) dx by using integration by substitution. What was your ...

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Q: Determine the Mc Laurin Series Expansion of the function and express the terms in power series formu...

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Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y) an...

A: Please see the below picture for detailed solution for detailed solution. 

Q: 2) Find the symmetric equation of the line containing the point (1, 2, 1) and perpendicular to the p...

A: consider the direction ratio of line  contaning the point ( 1, 2 ,1 )  is  l , m, n 

Q: Make a hyperbolic parabloid

A: Here is the image 

Q: Explain why the integral ex*dx is convergent.

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Q: cos x 3) 1+ sin x 6) [cosh vdv

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Q: What is the general solution? d3x d?x – 4x = 0 dt3 dt2

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Q: Suppose that in 1662, a man bought a diamond for $34. Suppose that the man had instead put the $34 i...

A: The continuous compounding formula is P(t)=P(0)ertwhere P(0)= the initial amountr = the rate of inte...

Q: Determine if the series converges or diverges. If the series converges give its value. 10 Σ 00 n=4 п...

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Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

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Q: Given the function g(t) = (t-4)(t+3)(t-1) What is It’s g - intercept is: What is It’s t- intercept i...

A: The objective is to find g - intercept and it’s t- intercept .

Q: A stadium has 55,000 seats. Seats sell for $28 in Section A, $16 in Section B, and $12 in Section C....

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Q: Identify the quadric surface each of the following equations represent and sketch its graph in a dra...

A: The objective is to Identify the quadric surface and sketch it's graph.

Q: 3. Slope of a line fr a) Calculate the slope of the line shown in the table. b) f(x) -3 -12 -2 -5 -1...

A: (a) From given table

Q: Question 4 (a) Evaluate, with the order of integration being reversed, an equivalent integral of the...

A: Let's find. 

Q: Transform the rectangular equation y = - 8 to a polar equation in T and 0.

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Q: 6. A water tank is shaped like a cone with the apex point at the bottom, where the cone has radius 5...

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Q: A hole is drilled through the center of a sphere x2 + y? +z? = R², leaving a ring-shape solid. If th...

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Q: 1) In Problems 1 through 4, given f(x) = 3× , g(x) = eX, h(x) = In x. Use Dr. Dai's Differential and...

A: Topic:- derivatives

Q: Evaluate the Integral iF the funthun X = = XSin (xy) ニ over the vecfongulor region R- [0,1][1, 2]

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Q: Find the General Solution: y" - 3y' + 2y =e*

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Q: c) h(p,g,0) = psin@cose ah sin@cos0 ; ah = pcos@cose answer: - %3D ah =-p sinøsin0 d) W(P,V,8,v.g)= ...

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Q: Reduce the given system to echelon form to find a single solution X1 + 7x2 +3 x3 + 11 x4 = 0 2x1+ 7x...

A: T

Q: (x'y-xy°)(xdy+ydx) 3. +dy = 2xdx

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Q: (у?- бу+1) dу y-3

A: ∫un du=un+1n+1+C

Q: 4. f(x) = e*-1 + 2 %3D Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= lim f(x)= X-0

A: f(x)= ex-1+2 The domain of a function is the set of inputs accepted by the function. for every value...

Q: The demand x is the number of items that can be sold at a price of $p. For x p" implicitly 7p+600, f...

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