The base of a solid is the region in the first quadrant bounded by the curves below. 4y = 4 – x? x-axis y-axis Cross-sections of the solid that are perpendicular to the x-axis are equilateral triangles. Find the volume of the solid.

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A: Option b)

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A: We can find the derivative as below

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A: topic - application of derivatives

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A: We can find the period as below

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A: We have to find value of x where function is not derivative.  

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A: Given:- f(x) =3x3+2 sin(x) +3cos(x)  To find:- (f-1)'(a) 

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A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and ...

Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

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A: Given that:  (x⁵+3y)dx - xdy=0

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Q: Choose a correct equation for the graph shown below. O A. y = 5 sin (3x) B. y = 10 sin C. y = 5 cos ...

A: We have to choose the equation for the graph .   

Q: y)dx + ( 2+ x + ye" )dy =0

A:

Q: Find the radius of convergence for: 9h Add Work Submit Question

A: If there exists an N so that for all n≥N,   an≠0 and limn→∞|an+1an|=L:If L&lt;1, then ∑an convergesI...

Q: What is x sec xdx ? A. xtan x- In cos x+ C C. xtan x- In |secx+C | B. xsecx-secx tan x+C D. xsec x+ ...

A:

Q: y = In tan(x – A) +B

A: Some Important Formulas 1. ddxtanx = sec2x2. ddxsin-1x = 11-x23. sec2x = tan2x +1

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A: Suppose the origin matrix be A to multiply it with B to get the new vector-matrix C. That is BA=C

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A: Given problem:- Find the volume of the solid generated by revolving the region in the first quadrant...

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A: We can solve both the question as below.

Q: Use row operations to change the matrix to reduced form. 1 1 1 17 2 34 21

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A: Given that: y=αt2

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A: T is the point at the distance of 5π4 in the unit circle.To find the point.

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A:

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A: Follow the procedure given below.

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A: Given query is to find the average value of the function for the interval [-2,3]

Q: e2x dx 4 + e4x 13.

A: We have to find the integral of the given function. 

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Q: Determine the convergence or divergence of the following series 2 sin³ n n² -1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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A: NOTE: Refresh your page if you can't see any equations. . take derivative the derivative is 

Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,           T...

Q: The displacement (in me line is given by the equa measured in seconds. Fi t = a, t = 1, t = 2, and

A: given s = 1t2velocity of the particle is given by v(t) = dsdt

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A:

Q: 12) A right circular cone has a fixed height of 7 units. Find the rate of change of its volume V wit...

A: NOTE: Refresh your page if you can't see any equations. . the volume of the right circular cone is g...

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Q: 2. Let f be the function f(x)= arctan.x. (a) Find the third Maclaurin polynomial for f. (b) Approxim...

A: To find the maclaurin polynomial for f.

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A: NOTE: Refresh your page if you can't see any equations. . the equation of a parabola is given by as...

Q: Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0.  19. F(x) = x3 +x2- 1

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Q: Evaluate the following triple integral: 3 x x 6z dzdydx

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