3. у %3D — 4(х + 2)2

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola  y...

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Q: 20x + 1125 The average cost for a company to produce x units of a product is given by the function A...

A: Given problem:- The average cost for a company to produce x units of a product is given by the funct...

Q: Use the definition of the Taylor series to find the Taylor series for f(r) = centered at a =1. (List...

A: To find the Taylor series for f(x)=e2-x centered at a=1. Concept used: The Taylor series can be expr...

Q: By u = 1+r substitution, the definite integral z(1+ 2)"dr z is equal to Select one: O(1-u)u" du o S ...

A: Topic = Integration

Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

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Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: find the derivate of y=x^3(5^-x)

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Q: A force of 2 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How m...

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Q: Solve the inequality. x-2 < 0 X+1

A: Given,            x-2x+1&lt;0

Q: 5. Evaluate the folloming integral over the region R 2des places. Gitosetrsine)r dride పా

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Q: By u = 1+ substitution, the definite integral z(1+ z)"dr is equal to Select one: O(1-u)u"du o (u-1)u...

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Q: The Cartesian equation of a line is given by 3x – y + 6 = 0. Determine the acute angle that this lin...

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Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).

Q: True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

A: true find integration use partial fraction  

Q: 2. Find an expression for the amount of work required to lift a thin 10 ft by 10 ft slab whose densi...

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Q: y = cos(x In 3) log3 (sin x) is: cos (x In 3) y': In 3 cot(x) cos(x In 3) - sin(x In 3) In(sin x) - ...

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Q: building that is 225 feet tall casts a shadow of various lengths as the day goes by. An angle of ele...

A: The objective is to solve the above question.

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Area of triangle =( base *height )/2 Area of semicircle = (π(r^2))/2

Q: n? Write an inequlity comparing n5 1 for n > 1. n3 - 4 with + 4 (Express numbers in exact form. Use ...

A: Solved below

Q: c) : Evaluate the integral xp- x2-4x-5

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Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a trapezoid...

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Q: Kyra is building a dollhouse. The carpet for the bedroom is 27 square inches. The length of the bedr...

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Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b) ...

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

Q: Work of 1 Joule done in stretching a spring from its natural length to 16 cm beyond its natural leng...

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Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

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Q: lim[r(t) X u(t)] = lim r(t) X lim u(t)

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Q: Find the open intervals on which the function f(x) = ax² + bx + c, a ± 0, is increasing and decreasi...

A: Given f(x) = ax^2+bx+c, a is nonzero differentiate withe respect to x df/dx = 2ax+b for increasing d...

Q: Compute the derivative: d I/ In(t° + 1) dt dx

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Q: The domain of the function f(x,y)=3x+e 1s: D ={cx;y)eR?/(x +Dn² + y² 23} D ={x;y) eR?/(x –1)² +y² <3...

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Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Find first derivative and get the stationary points then find local minima and local maxima.

Q: Write an equation of the line tangent to this curve at point A r = −8 sin(θ)  polar coordinate (-4...

A: Given query is to find the equation of the tangent line  

Q: The population density r miles from the center of a certain city is p(r) = 5e 0.1r people per square...

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Q: (1.5,2) 1.5 (0,7, 0.2Y f0.7,0.2) O.5 to - O.5 -0.57 ー15 0.5 1.5 (-1,2,-1) - 15 -2 does f have the ab...

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Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

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Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: 9.13 Solve: X1 + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 with (a) naive Gauss eliminati...

A: As per Bartleby guideline I can solve only one part , if you want other pls repost .

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = In(x2 + 3x ...

A: Given that the function is       f(x) = ln(x2+3x+4) , [-2,2] Here we have to find the absolute minim...

Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

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Q: Number 62 please

A: 62.] Concept:- For an alternating series let the sum of partial sum is sn then sn - sn-1 for n&gt;= ...

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line     ...

Q: Sx² + 1, x > 1 Зх — 1, х < 1 f(x) = Calculate the purpose of the following functions

A: topic -  limit and continuity 

Q: 21n|sinh (1/2 »)|+C

A:

Q: Consider the series > and n=1 Vn3 + 3n – 1 n312 n=1 Write an inequality comparing 1 1 to for n > 1. ...

A: Please see the below picture for detailed solution. 

Q: Evaluate L- {; 3s+1 s2+6s+13

A: L-13s+1s2+6s+13

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

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Q: Question 4 Evaluate the integral *dx, 2" -+C In2 A +C In2 B 2 -+C In2 D +C In2

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Q: From 2005 through 2010, an Internet sales company was hiring new employees at a rate of n(x) = 588 +...

A: We need to find function.

Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three decim...

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Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

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