Use long division to find quotient  x3 + 2x + 4        x - 3

Q: dx 2х — 10 15. Evaluate A. Ο В. 1/2 С. C. 00 D. - 00

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Q: Given: cos(cos2x) sin2x dx Find: du O 2sin2x dx -2sin2x dx O -2cos2x dx 2cos2x dx

A: Given that ∫cos cos 2x sin 2x dx  -(i)Our Aim is to find the value of du=?

Q: 1 dx. 10. Evaluate the improper integral m 64 + z²

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Q: 5. Solve a) In(x+1) = 3 b) e2 – e = 2.

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Q: y(x² – y² + 1)dx – x(x²-y² – 1)dy = 0

A: Exact differential equation

Q: f (1,0) Based on the figure above, (f-1)'(0)

A: The figure given is   

Q: 7. Determine f (x) so that | cos(In°x) f (x) dx = sin(In²x) + C 2 In x In x (а) 2 In x (c) - (d)?

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Q: 19-22 Use a triple integral to find the volume of the given solid 22. The solid enclosed by the cyli...

A: Given cylinder is x2+z2=4 and the plane is y=-1 and y+z=4 So,  y→-1 to 4-z z→-4-x2 to 4-x2 And x→-2 ...

Q: What is the resulting integrable form of evx+I x+1

A: We have to find value of given Integral.

Q: (x – 2)2 sin(2x2 – 3x – 2) lim log1 r+2+ 3

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Q: The differentiable function  f  is such that for all  x  with  3 ≤ x≤ 7 , we have  4 ≤ f'(x) ≤ 6...

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Q: 7. Using integration by parts evaluate the integral /(z- 2x)e-3 dz

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Q: One of the following is an improper integral. - In 3 e* dx 4 – ex dx In 2 xV16 – In x dx cln 2 dx x ...

A: In this question we have to find the value of Improper Integral. Note: As per our policy we are supp...

Q: dx Given: 2x- 3xlnx Find: du dx dx 3 X

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Q: Part of the piecewise-defined function (x – 1) + 2 if 0 < ¤ < 3 f(x) = b if x = 3 mx if 3 < x < 6 is...

A: Given problem:-

Q: Find the radius of convergence of the power series. (If you need to use ∞ or -oo, enter INFINITY or ...

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Q: 6. Find f(x) so that when w fG) the integral 1+ Inx dx can be tan(f) cot u du. rewritten as (a) x+ 1...

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Q: ces 3. Find dæ/dy (watch out!) of the relationship 3-5% + sin y = In x + Vy3

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Q: dx x Vx²+2x-1

A: Evaluate the integral∫1xx2+2x-1dx

Q: 11. The integral of tan(In|4x²|) dx is bln|sec(ln(2x)ª)|. What is b? А. 2 В. 1 D. ! С.4 4

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Q: In Exercises 47-62, use a sketch to find the exact value of each expression. 47. cos(sin £) 49. tan(...

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Q: Example 3.8. For r = 1, 2, 3 and y = 1,2, let the joint pmf of X and Y be defined by x+ y fx,y(x, y)...

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Q: 2 cos(За? + 5) + [62? + 2] (а) lim За2 + 5 0)2

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Q: s(x) = X-4 Find the x-values (if any) at which the function is not continuous. Which of x2-2x-8 the ...

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Q: dx Sz Given: 2x - 3xlnx Find: du 3 dx dx dx X dx

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Q: Write an equation for a rational function with the given characteristics. 4, x-intercepts at (-4,0) ...

A: Explained below 

Q: Find the nth Maclaurin polynomial for the function. 4x – 4 f(x) = n = 4 %3D X + 1 Pa(X) = || %3D

A: Here, the given function is: f(x)=4x-4x+1      =4x+4-8x+1      =4(x+1)x+1-8x+1      =4-81x+1

Q: One of the following is an improper integral. \. xV16 – In x ~In 3 dx dx In 2 V4 – ex xV16 – In x -I...

A: We have to find the value of improper integral.

Q: The sum of one number and three times the second number is 48. What will be the maximum product of t...

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Q: Evaluate the integral dx 2x3 - 3x x |/3x - /2 2/2"V3x + v2 1 +C O 16V2 + V3 In 3 |/2 - 3x +C In +C 2...

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Q: Given: x² dx Find: Formula 1 o fe'du

A: Given problem:-

Q: 15. Find dr/d0: r = 4 – 02 sin 0 а. 20 sin @ - ө2 cos @ b. 0 cos e – 0² sin e - c. O sin e – 02 cos ...

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Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

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Q: Evaluate the integral dx ,2 2x x - 3x X

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Q: 4x4 + 7x + 16 Consider the rational function f(x) 6x2 – 11 a. What monomial expression best estimate...

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Q: . Set up the integral with represents the area of the surface z = xy that lies inside of %3D the ell...

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Q: 4. If u = f(x), then k +C for some constant k. dx = x* + 2x2 + 1 x² + 1 Compute kf (1). (a) 4 (b) – ...

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Q: 00 k k 2. Σ (- 1)- k+1 k=0

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Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: From the definition of the derivative of f(x) as f (x+h)- f(x) f (x)=lim h→0 h derive a formula for ...

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Q: One of the following is an improper integral. Determine which one it is then evaluate it. What is th...

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Q: An object is dropped from a tower, 576 ft above the ground. The object's height above ground t secon...

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Q: A certain index I is a measure of soil moisture. An article described the rate of change of I with r...

A: dIdW=0.0634.6-I  

Q: Evaluate the integral S dx 2x3 - 3xx 1 -In 2/2 "I/3x + /2 +C En(2 { x³ - 3x x)+c 1 V2 + V3x -In + C ...

A: First we take common x3/4 then put√x=t  And using integration of 1/a2 - x2

Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

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Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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Q: ON 3 sec3(In x) + sec2(In x) tan(In x) 2х n x) tan(In x) n x) dx c³(In x) + sec²(In x)

A: We have to choose the correct option according to the given information

Q: 1. How many terms are there in an arithmetic sequence with first term 10, common difference of 2, an...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask ...

Q: Illustrate the Quadratic Funictions Using table of Values Think About This! Consider the table of Va...

A: Quadratic

Q: SV1+ vw_dw

A: ∫1+wdw