2e" dx (e – 1)2 1

Q: 12. The sum of two numbers is 40. Find the numbers if the sum of their squares is a minimum.

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Q: Write the Taylor series for f(x) = sin(x) at x = as Cn x 2 n=0 Find the first five coefficients. Co=...

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Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 16), y(0) = 0 y =

A: Given:- y' = 3x2 (y2 + 16), y(0) = 0 To find:- The solution to the initial-value problem.

Q: Which of the following is an identity? sinBsecBcotB = sin²B/cos²B sinBsecBcotB = 1 sinBsecBcotB = c...

A: sinBsecBcotB  secB = 1/cosB  cotB = cosB/sinB  So now put all this value in given function  sinB(1/c...

Q: Let C be the curve of intersection of the surface f(x,y) = y2 ex< - 1 and the plane y = 3. Find the ...

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

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Q: Set up the integral to find the length of the curve f(x) = V1 – 2? for 1/v2 <x < 1.

A: Please see the answer below.

Q: Given: sing = and cos x = -; evaluate the following expression. (A: Quadrant I, x : Quadrant II.) si...

A: Multiple angles

Q: If x + y* + z - 2z = 1, then a) None of these b) 3x²+4y3 2-3z2 c) 4y3 2-3z2 d) 4y³+3z? 2

A: Given query is to find indicated derivative.

Q: In 2010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. R...

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Q: Write down the matrices representing the linear transformations f satisfying the fol- lowing propert...

A: We have to write matrix representation of the linear transformation f.

Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

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Q: Use separation of variables to find the general implicit solution to the differential equation. 9  d...

A: Given:       9 dydx=eysin2θysecθ

Q: The level curve of the surface f(x,y) = x² + y2 + 4x -10y + 28 corresponding to c is a circle of rad...

A: We need to find equation of circle.

Q: Find the derivative of the function using the product rule. (a) f(x) = (x3 − 2)(6x − 5) (b) f(x) = 3...

A: First I have written the product rule of derivative and then using it and find the required derivati...

Q: Consider the following functions. f ((-3,-2), (2, 0), (1, – 1), (–2,-5)} and 8= (5,0), (0, 1), (1, 1...

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Q: the number x (in thousands) of cat flea collars demanded each year when the price of a collar is p d...

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Q: 12x Find a power series for f(x) = |x| < 1 in the form E an. (x² + 1)* n=1

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Q: If f(a)= 3x3-X, find the values Of X for which f'(k)=0

A: Given f(x)= 3x³-x So, f'(x)= 9x²-1

Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1 f(x...

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Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: 1. Find the dy/dx of (2 Points) OY OY- 30"

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Q: e lan-1n Σ n=1 n + 1 2

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Q: (x- h)?, (y-k)² Which of the following is true about ellipse with equation in standard form 1, a>b? ...

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Q: .......n....... ..... Sketch the regions enclosed by the given curves. y = 2 cos(4x), y 2 sin(8x), x...

A: Given problem:- Sketch the regions enclosed by the given curves.   y = 2 cos(4x), y = 2 sin(8x), x=0...

Q: 2. Find the y" of * y = 3-2x 3x+5

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Q: DG question pls solve it neatly on раper Question A neal surface for which the equations G %3D %3D h...

A: The given equation is; E/L = F/M = G/N

Q: What is the equation in standard form of an ellipse whose center is at C(-3, 1), a vertex at V(-5, 1...

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the ellipse is given ...

Q: Current Attempt in Progress = Write out the first four terms of the sequence (1+ (-1)"). starting wi...

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Q: log,(2) = y

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Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A: Given,            y'=ey-x , y0=0To find : the solution to the initial-value problem.

Q: initial-value

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Q: Find S1, S3, and S6 for each problem below 1. . -1, 3, -5, 7, -9, ... 2. . 4, 7, 10, 13, 16, ...

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Q: A frictionless highway Turn has a constant curvature 1.96 x10 -2 m-1 is banked at an angle 0 = tan-1...

A: I am attaching image so that you understand each and every step.

Q: If Luk and > UR are convergent scries, then (ux + vk) and Σω 2(uk – Vk) are convergent series and th...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (kn 6sin O abs...

A: Here, the given series is: ∑k=1∞6 sin kπ2 Let, ak=6 sin kπ2; k≥1

Q: a dV E where E is bounded by the cylinder a? + y? = 9, 0 0.

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Q: Factor the trinomial, or state that the trinomial is prime. 7x - 53x + 66 Select the correct choice ...

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Q: (a) f(x) = (2x – 1)*(3x – 2)³ (b) f(x) = [(x – 3)(5x + 1)]³ (c) f(x) = Vx cos ((3x + 2)²) %3D CoS (d...

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Q: in general form x² – 2x – 6y – 5 = 0? 5 A B y- -

A: The given equation of the parabola is: x2-2x-6y-5=0⇒6y=x2-2x-5⇒6y=(x2-2x+1)-6⇒6y=(x+1)2-6 ⇒6y+6=(x+1...

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +...

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

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Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative tes...

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or   f(x...

Q: 3. Zoom in toward the points (1, 0), (0, 1), and (-1, 0) on the graph of the function g(x) = (x -1)3...

A: Solution ) graph of g (x) = (x2 - 1)2/3

Q: 500 where r is the mortgage A county realty group estimates that the number of housing starts per ye...

A: According to bartleby guidelines I can only answer one of the questions given. 

Q: Write each of the following in Sigma notation: 1 2 3 4 5 +-+-+ 3 8. 9 + 16 + 25 + 36 + 49 + 64 + 9. ...

A: For (8),     9+16+25+36+49+64+...=32+42+52+62+72+82+...=∑n=3∞n2

Q: For the equation given, find dy 5x3,2 5x³y² – 5x²y = 9 хр Ap pui хр 1.

A: We will do implicit differentiation with respect to x

Q: a. Find the local extrema of the function f(x) = 3 cos 4x + sin 4x on the interval 0 sxs and say whe...

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Q: find the relative extrema of f(x)=32x^2-4x^3. find the critical values and include a sign chart

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Q: Now the steps to solve the problem: (a) You need to maximize how far the textbook travels horizontal...

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