2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

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A: Given query is to find the volume of the solid generated.

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A: Since, the student has clearly mentioned to solve question number (3), so we are solving only questi...

Q: :6. Bet“ dt.

A: (6). Given: I=∫t3et4dt   ...1   We know that; ∫eax+bdx=1aeax+b+C   Note; As per Bartleby guidelines ...

Q: 29. Decide whether Rolle's Theorem can be applied to f(x) = x2 + 2x -1 on the interval [-3, 1]. If R...

A: We will use that 

Q: b. (2,1)

A:

Q: 8. y = In(x + Vx² +1)

A: According to given, only 8 is solved  

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Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

A:

Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

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Q: X sin? - cos 2 2. -dx 2

A: Yes. This problem can be solved using Wallis formula.

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

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Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of ...

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Q: O Find a general salution answ r リーx- C-X

A: The given differential equation is: xy'=12y2+y which can be written as: y'=12xy2+yx⇒y'-yx=12xy2 whic...

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: Question Find the equation of the tangent line to f- at the point P(1, 2) for f(x) = /3 – x. %3D Pro...

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Q: / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0 O x = 3 tan 0 O None of ...

A: The integration of the integral is√(16-x2).

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: sinh(5) (A) 5+ v26 (B) In(5 + v24) (C) In(5 + 26) (D) 2 e-e- (E) 5 ||

A: Find your answer below 

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x) b) Find...

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Q: Use the methods discussed in class to find the surface area obtained by rotating the curve about the...

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Q: Consider the function f(x) = 3x - 81x on the interval [-5. 4]. Find the absolute extrema for the fun...

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Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

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Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) = Vx. The...

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Q: Calen Given revenue and cost functions R(g) = 90g - 0.3g and C(q) = 12g + 600, find the maximum prof...

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

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Q: Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y + ...

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: We have to find the volume generated by rotation the curve about y axis.

Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

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Q: If   C(t)=55te^−0.2t measures the​ concentration, in ngml​, of a drug in a​ person's system t hour...

A: If   C(t)=55te^−0.2t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours ...

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: 3 Determine the intervals for the following functions to be defined. Show that the functions are con...

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Q: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the en...

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Q: Consider the region between the curve y = sin(x) and the x-axis, between r = 0 and x = on is rotated...

A: To find the volume of S using cylindrical shells method. Given information: Let S be the solid obtai...

Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

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Q: By substitution u = x² + 5x, the definite integral (2x + 5) ln (x² + 5x) dx becomes Select one: O No...

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Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a q...

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Q: P where E is voltage and R is resistance. Approximate the maximum percent error in calculating power...

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Q: Find the total differential. z = e-X tan(y)

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Q: n=0 n!

A: This is series problem

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...