Original Integral Rewrite Integrate Simplify x dx dx + C

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Q: Estimate the area under the graph of f(x) = x² + 3x + 1 over the interval [2, 4] using ten approxima...

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Q: A. Elimination of Arbitrary Constant Eliminate the arbitrary constants (1) y = (c + c2x)e* + 2x - 4

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Q: Find the volume generated by revolving bout the line x -1 the area bounded by (y + 2) = 4(x + 2) and...

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Q: x²+5x-8 Evaluate f

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Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x <.

A: Given,             y=sinx , y=sin4x from 0≤x≤π2To find : Find the area bounded by the curves.

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying th...

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Q: A. Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector...

A: To find out the unit normal vector to the surface at the given point.

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A: Standard form of an ellipse

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Q: 2. у(у+ 2х — 2)dx — 2(х + y)dy 3D 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff, ∂M∂y=∂N∂x

Q: Identify which below is a separable Ordinary Differential Equation 2xy a. y': х(у — 1) — у dy _x+ y ...

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Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y – 2)° = -4(x – 4) ...

A: Let's find. 

Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE: E...

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if x...

Q: III. Show that the function is continuous on the specified interval. 11. f (x) = V3x – 5; [3,9]

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Q: (2 cos x–sin x )" dæ sin x

A: Given: I=∫2cosx-sinx2sinxdx   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2). 1csc...

Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x <.

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: This question can be solved as per the instruction given.

Q: G Coshx dg G Sahr teンdx Anri y Ceshx = c

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Q: Find the area bounded by y = sin?(x) and y = sin³ (x) from -<x<n.

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Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x

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Q: Find the antiderivative, G(t), of the function g(t) = (3n²t² – t*)V3n² – t².

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

Q: Find the area of the region that is enclosed between the curves a = y and x= y - 2 integrating with ...

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Q: Which of the following equations is an exact DE? O (10x^2 +5)dx-20xydy%3D0 O (2xy-3x^2)dx+(x^2-2y) d...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + ...

A:   Intersection points:  x2 + y2 - 4ax = 0                                                          ...

Q: Activity 6: Find the first and the second derivative of the following: 1. у 3D е cos x 2. y = sin³ (...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for y...

Q: | xy² dy dx ху

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Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

Q: 1. A Norman window is constructed by adjoining a semicircular window to the top of a rectangular win...

A: According to bartleby guideliness we can answer only the first question.kindly repost the other ques...

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k² = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

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Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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Q: Find the length of the arc of the curve 4y2 = 9x3 from the origin to the point (2,3v2).

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Q: Evaluate f(cos4 x – sin“ x)dx

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Q: se the Root Test to determine if the series (-1)" 2/n en² (2n2 – 1)" CONVERGES - n=1 converges or di...

A: As you have asked for the solutions of question number 3 only. So I am solving only that. Hope it he...

Q: 2. S 2x5 Vx – 2 dx

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

A: Just take the derivative of given function and get the required solution.

Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: Activity 1. What's My Extrema? Identify the extrema (both minimum and maximum) of the given graphs b...

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Q: cos (x² + y') = x - lg Find dy using implicit differentiation: 2. %3D dx

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Q: dx -2 (5-4x- x²)2

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Q: Solve the Lagrange's partial differential equation 2 z* p – xy(x² + yz)q = xz(x² + yz). 4

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Q: Prove the identity. cosh(x) + sinh(x) = e* First, use the definitions of the hyperbolic functions, a...

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Q: | In|Vi + 1| dx

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Q: A lamp is placed on the ground at a distance of 17 feet from the point at which a rocket will be lau...

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