31. /| z sin(z + y) dA, R= [0, #/6] × [0, 1/3] R

Q: Case 4: repeated quadratic factor (very hard!) 8dx • Example 1: r(r2+2)2

A: To evaluate: I=∫8 dxx(x2+2)2 Substitute x2+2=u⇒2x dx=du⇒dx=12xdu So, I=∫8 x(u2)du2x=4∫1x2u2du=4∫1(u-...

Q: 1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes ...

A: The given that the number of people in attendance is given by: n=240-12p...(1)  where the price of a...

Q: sin e cos e sin (0 - 1) Choose the best answer:

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: g(x) = x - 4 and h(x) = x2 + 3

A: Let two functions g(x) and h(x) are given, then their composition (hog)(x) is given by, (hog)(x)= h[...

Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

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Q: What's More Evaluate the following limits. r - 7x2 + 14x - 8 6. lim 2x2 - 3x – 4 3 3. lim :-2 (2: + ...

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: QI) Find the volume of the solid generated by revolving region bounded by the curve (x-Jy)& the line...

A: Volume

Q: A given partial fraction Cx +D x² +1 2x A B + (x- 1)(x+4)(x²+1) x+4 X-a A can be evaluated as: O 1/5...

A: Take LCM of the right hand side and the put x= 1

Q: Let f(x) = 2x° + 20x + 3. a. Find the values of x for which the slope of the curve y=f(x) is 0. b. F...

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Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: The region bounded by f(x) = - 4x2 + 20x + 96, x = 0, and y = 0 is rotated about the y-axis. Find %3...

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Q: 3 — 6 сos @ r3

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Q: What substitution should be used to solve the integral x²dx |4+9x² O sin u=3x/2 sec u =2x/3 O sec u ...

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) 5- 4 3 2 -1 -1 12 4 ...

A: From the given graph we can observe that it is rational function.The zero of the function is at x=1A...

Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = V x8 + 5 y'(x) = %...

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Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...

Q: Express what you have learned in this lesson by completing the sentences below. Use a separate paper...

A: To fill the blanks for limits of the function.

Q: For each of the following matrices, either find its inverse or say how you know it isn't invertible....

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Q: Please include solutions, for me to understand it more. Thank you

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Q: (A) Draw the graph of a function that has a secant line with m=3 between x=0 and x=2 , and a secant ...

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Q: Find the derivative of each function by using an appropriate differentiation rule. 1) F(x)= sin(3 l...

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Q: esec-1 d.x. xVx2 – 1 1

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Q: 21. sin x dA, Dis bounded by y = cos æ, 0 < æ < 7/2, y = 0, x = 0

A: Solution of the above question is given by

Q: Find the indefinite integral. sin 66 V cos 60 d

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Q: Write the first five terms of the recursively defined sequence. a1 =6, ak+ 1 %3D %3D a2 = 23 = a4 a5...

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Q: Compute the work done by the vector field F(x, y) = (ry, x² + y³) when moving a particle counter-clo...

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Q: Find the derivative of x3tan2x 2x sec2x+3x?tan 2x 6x²sec²2x 3x?tan2x+6xsec²2x 2 xtan2x - 3x²sec²2x

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Q: the series using any appropriate test from this chapter. Identify t t with the p-series

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

Q: 2. Find the general solution of this system. x' = -1 -1 -1 11

A: First we calculate eigen value of given matrix then we find eigen vector. 

Q: Let m(t) be a function with the values given in the table below. 1 t 2 3 m(t) | 100 1600 25600 40960...

A: topic - exponential function

Q: Find the volume of the solid with the base is the region enclosed by the parabola y = 1-x² and the x...

A: Here, to find the volume of the solid with the base is the region enclosed by the parabola y=1-x2 an...

Q: 2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the...

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

Q: 14 2

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: sin(0) Evaluate: lim 0→る

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Q: Consider the series 00 (x – 6)6 + 4. 3! (x – 6)8 + 8.4! (x – 6)4 Σ а, 3 (х — 6)2 + + 2· 2! n=no Find...

A: N0=1 to infinity in summation  

Q: Write a chain rule formula for the following derivative. aw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: Find the sum of the convergent series. 1 8- 1+ 8. 64 Submit Answer

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Q: Compute the curl and divergence of the vector field F(x, y, z) = (T 2², 2yz) . Is F conservative? If...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x 3 x-intercepts at...

A: We have to find rational function for the given condation.

Q: What integration technique can be used to integrate: sec2 xdx Integration Formulas O Trigonometric S...

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Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

A:

Q: 3. Design a rectangular R.C.C. beam using the following data: Beam span is 30' ft; f, = 60 ksi, f'̟ ...

A: Find your answer below 

Q: 3. Find a fundamental matrix for the following system. Then find a solution satisfying the giving in...

A: solve the matrix

Q: Σ n K. n=1 e

A: According to question,Given series,∑n =1∞ nen2

Q: cot x+1 V tan x +1 2 COS X cot x sin x tan x

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Q: V3 If sin x = - and -90° S x S 0°, evaluate sin 2x 2 1 2 V3 2 1 2 V3 2

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Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: 1 -1 -2 -2 -1 0 1 2 3 2 3 4 4 -2 -1 4. FIGURE 6.1.12. Spiral point (-2, 1) and saddle point (2,-1). ...

A:   Given the systemdxdt=2x-2y-4 anddydt=x+4y+3 To find critical point we take dxdt=0 anddydt=0  

Q: 1. Decide the limit: lim 2x + 3 X-3 2. Explanation 3. Can the function f(x) = 2x + 3 attain the limi...

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