Solve the following problems on bond papers (maximum 3 bond papers) with 2 inch margin on all sides. Show your complete solution. Solutions should be handwritten. 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x3 + x)dx.

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

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Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

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Q: Choose the correct equation for the graph: 1 -21 -Зл 37 .2 2 2. -1 -2 2.

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Q: The domain of the graph y = cotx is all real numbers -15xS1 -13xS1 all reals except kT

A: Given query is to find domain of cotx .

Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

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Q: solve ∫ 1/((x+2)^2(2-x)^2) using partial fractions

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Q: Find the real valued general solution of y" + 5y = 0. %3D

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Q: Select all that apply. Select the functions whose value is undefined. sec 90° cot 90° sin 270° cos...

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

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

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Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exact...

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Q: Let f : R → R be the function defined by 1 f(x) 2* a) Is ƒ is one-to-one? If yes, then explain why. ...

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Q: C -- -- 1. 7)=3tan(2x-45")-2 f(x) Реriod: Vertical Shift: Horizontal Shift Start: End.

A: Starting point and ending point is always infinity in tan function

Q: ( tan( tan3x)dx Evaluate: cos²3x A -In |sec(tan3x)| + C 3 |cos(tan3x)|+C B © --n |sin(tan3x)|+c O --...

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Q: determine o evaluate: The value of lim- 2+sin e if exist, otherwise states that limit does not exist...

A: Given query is to eveluate the limit.

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Here, the region is bounded by y=6sin(πx), the x-axis, y-axis, and line x=1. The areas of the region...

Q: 25. What is the y' of y = tan(6x - 5)? a. y' 6csc2 (6x - 5) b. y' = tan(6) с. у' %3 6sec? (6х - 5) d...

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Q: (3 + 7i) 2 – 3i)

A: Follow next step

Q: Let -1 < a < 0 0 < x < 1 1, f(x) = Expand f in a Fourier series. Sketch at least two periods of the ...

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Q: Evaluate: A 4e“+C +C +C E) None

A: Given problem:-

Q: 3 Which of the following properties describe the sequence n3 Jn=4 Bounded, not monotonic Not bounded...

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Q: Evaluate the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphere of r...

A: We have to find the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphe...

Q: Give an example of a vector-valued function 7 (t) such that its unit tangent vector T(t) is defined ...

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Q: The infinity in the V6-ydy can be eliminated by applying lim t+ - True False

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Q: Use a scientific calculator or unit circle to convert the polar form of the complex number to its eq...

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Q: Determine if the following series converge or diverge. Make sure you state which test you use to mak...

A: To find the behaviour of the series we will use the following tests. a) For this series we will use ...

Q: Find the area of the surface obtained by rotating the curve y = about the x – axis from the point 1 ...

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Q: Evaluate the following integral. - cosh x dx 2. sinhx- sinh x

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Q: 43 Explain in detail with at least two sentences how to represent the difference of z1 and z2 geome...

A: Given data ÷ Z1=8 - i and Z2=-9 + 2i

Q: Find the distance between the complex numbers in the complex plane. 5i, 6-4i

A: Distance formula in the complex number : d = (c-a)2+d-b2 where a+ib and c+id be given complex number...

Q: An integral expression for the area of the surface generated by rotating the curve X=VV.1sys8about t...

A: here limit of x is from 1 to 2   A=2π∫12f(x)1+f'(x)2dx so here f(x) = y = x3 f'(x) = 3x2 (f'(x))2 = ...

Q: 22. If y = x+4 then what is 4Y? dx dy a. 4x(x + 4) dy С. dx -4Vx + 8 dx dy b. dx =-4(x + 4)= d. dx 8...

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Q: xSy + 11|(x – y). State the least positive integer in the equivalence class of [14]. b) For a set X ...

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Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

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

Q: Evaluate the following integral. z+6 dz z(z² +4) Can partial fraction decomposition be used to evalu...

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5+ 4...

A: From the given graph we can see that there are three points at which the given function is zero i.e ...

Q: 4 · t2k 4.t 7k k=0

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Q: 6. Let a be a real number. Consider the series Σ an = cos(nT); 2n +1 an, where n=0 Is it possible to...

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Q: A baseball is "popped" straight up by a batter. The height of the ball above the ground is given by ...

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Q: Find the radius of convergence and the interval of convergence. 00 Σ k(k + 1) k=1

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Q: 2. The velocity of an object is v(t) = 40 – t² ,0 <t< 6,where v(t) is measured in meters per second ...

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Q: 30 Choose the best answer: tan x + cot x =

A: Given

Q: Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exactly...

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Q: (a) -2f(x) dx 1 6. (b) f(x) +h(x)] dx (c) [2f(x)- 3h(x)] dx 7 (d) f(x) dx 69 (e) f(x) dx (f) f[h(x)-...

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Q: 3 — 6 сos @ r3

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Q: (Vx² +1)j +8tm(x²; r(x) = sin (secx ?)i +csc Find the derivative of the vector function below ³(Vx² ...

A: Given: - The vector function is, r(x)=sin2(secx2) i+csc3x2+1 j+8tan(x2)k To find: -The derivative of...

Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :  

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

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Q: Find fy if f(x, y) = sin 5x cos 5y O fy = 5sin 5x sin 5y fx = cos 5x cos 5y O fx = 5cos 5y cos 5x fx...

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