Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and circles and by subtracting the areas below the x-axis.

Q: Problem 2. Find all pairs (s, t) of Gaussian integers s, t e Z[i] that satisfy (7+4i)s+(11+2i)t = 3+...

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Q: find, if they exist, the absolute minimum and maximum of the given function on the interval [0,7]. R...

A: find, if they exist, the absolute minimum and maximum of the given function on the interval [0,7]. R...

Q: Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all o...

A: Given problem:- Determine the values of a, b, and c such that the cubic function f(x)=ax3 + bx2 + cx...

Q: Using integrating factor solve the equation x dy/dx + 2y = 4x2

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Q: Given that fCx) = x"hc) h'(1)=6 Calculate f'(-1) =

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Q: where A and C are eritical nummb ers /- intervals (-0,A) (AB), (B.C) and (C) where A and c are eriti...

A: This question is based on application of derivative.

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x + 60...

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Q: 3. A piece of sheet metal, 100cm by 50cm, is to be used to make a rectangular box with an open top b...

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Q: Consider the function f(r) %3D f(1) has two inflection points at x = C and x D with C <D where C is ...

A: Given problem:-

Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n3 + n² + 1 n=1 converges or div...

A: Use the comparison test to determine the series.

Q: Find lak| for the series. 00 k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation an...

A: The series ∑k=0∞kk+12k

Q: Find the average rate of change of y with respect to x on the interval [1,4] where y=x^2+x+1

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Q: (c) e Op 25 00sp55 Op > 0 O There is no p which makes the integral improper. Op55

A: Given that        ∫05e-px dx 

Q: Use implicit differentiation to find y' and then evaluate y' at (3, - 4). 5xy + y+ 64 = 0 y' =D y'l(...

A:

Q: +00 S" x?dx

A: To write that the given integral is improper or not.

Q: Use a graphing calculator to estimate the absolute maximum and absolute minimum values of the functi...

A: Explained below 

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. g(t) = |5t...

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Q: dx Vx

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Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range 

Q: 2+ x², ={ 1 2* +2, 4 -2 <x<0 f(x)dx; f(x) 0<x<4

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Q: 2sm x-1 2. y= COST+2

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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: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A: The given function,   f(x)=ln x, 0&lt;x≤3

Q: s, if any, of the given functions. De ion is increasing or decreasing. y = = x' - x

A: We will find the maximum and minimum value. 

Q: suppose for a particular commodity, e=.25 and that currently 90,000 units are selling for $6 each. H...

A:

Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

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Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

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Q: *'(x) *'(1) %3D

A: Given query is to find indicated derivative.

Q: Use implicit differentiation to find y', and then evaluate y' for xy-4x° + 16 = 0 at the point (2,4)...

A: The objective is to find y' and y' at (2, 4).

Q: Being z = ax'y1+ bx*y3, with a and b constants. P is a point given by (-1, -1) and it is known that:...

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Q: 3 7 htx) 7 22 h'(x) 5 10 90. Selected values of the increasing function h and its derivative h' are ...

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Q: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

A: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a) Expr...

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:...

Q: 5. Water is pumped out of a horizontal cylinder through an opening at the top. Find the work (in jou...

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

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Q: 10x + 1800 The average cost for a company to produce x units of a product is given by the function A...

A: Given: Average cost for a company to produce x units of a product is given by a function A(x) =( 10x...

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: Determining Convergence or Divergence In Exerci 27-34, test for convergence or divergence, using eac...

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Q: Consider the function f(x) 4x +4x 8. f(x) has a critical point at 2 = A. Find the valtue of A: A = A...

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Q: 1.5 (0,7, 0.2y f0.7,0.2) O5 ー15 - O.5 0.5 1.5 -0.57 (-1,2,-1) -15 -2

A: The f' is undefined where the graph of f has shard edges that is at x=-0.7,0,0.7,1 f(x) has sharp ed...

Q: (a) Using Gaussian elimination, find a vector v such that

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one. ...

Q: dx

A: Given problem:-

Q: Evaluate the integral: 1 2x + 4 dx x² +1/

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Q: Anote card company has found that the marginal cost per card of producing x note cards is given by t...

A: Given query is to find the cost of prducing x cards.

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

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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: Evaluate the integral: el/z dx -1

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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: e the graph to state the absolute and local maximum and minimum values of the function. (Enter your ...

A: Given query is to find absolute maximum and minimum value of the function.

Q: Using integration by parts and taking a > 0, the integral x In(ax)dx is equal to: In a 2 In(2a) - 3 ...

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