Whose ares is given by the double Integral. 1 2 5 6 7 1 2 3 4 5 6 7 8 Change the order of Integration and show that both orders yleld the same area.

Q: y3 Set up an integral that represents the surface area of the surface generated by revolving the gra...

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Q: -3 dx /2 х-1

A: The given integral,        ∫23dxx-1

Q: d²x dx + k?x = 0,k is real number; when t = 0,x = 0, = vo. dt dt2 vo sin(kt) ANSWER: X k

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Q: Obtain the particular solution satisfying the initial conditions indicated.

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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: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

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Q: 1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0...

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

Q: 7hen a drug is intravenously administered to a patient on a continuous basis, the amount A (in milli...

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Q: 6. y = In (e' + e")

A: The given problem 6 is solved below in detail.

Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

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Q: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

A: Here we have to find the vertical asymptote of the function f(x)=7xx2-3x-28

Q: Solve the following linear differential equation

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Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

A: Find your answer below 

Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: Evaluate the integral .8 xV x+1 dx

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Q: Find d of the function given implicitly and evaluate the derivative at the given point. y = sin ( 6x...

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Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: 10. x= cost; y = sin't

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Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=

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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: 6. . Suppose that Y,,Y,..Y, form a random sample from a distribution for which the p.d.f. is as foll...

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Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

A: Both the questions are based on partial fraction.

Q: Sketch the level curve of the function y? f(z, y) = %3D 9. 16 for c = 1.

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Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: Show that the equation x – 18x + c = 0 has at most one root in the interval [-2, 2].

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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: Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given b...

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Q: 4) 98)=(40*– Bu) 5 %3D -

A: Given that      g(u) = (4u7- 8u)-5

Q: Find the open intervals on which the function f(x) = ax? + bx + C, a0, is increasing and decreasing....

A: f(x)=ax2+bx+cf'(x)=2ax+bcritical point:f'(x)=02ax+b=0x=-b2aFor a&gt;0,f is increasing on (-b2a, ∞)be...

Q: 21n|sinh (1/2 »)|+C

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Q: Find the area bounded by the x- axis and the graph of the function f (x) = 4x² + 8x +1,0 <x 3. (4 II...

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Q: Find the sum of the convergent series. (b) (sin 1)" n=1 9 27 (c) 8+6+;+ Σ (2n + 1)(2n + 3)

A: As per bartleby guidelines we only give first question answers. 

Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27 -F2...

Q: 6) yo Do° (7C +2)"

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Q: If cos? 0 – 3 cos 0 + 2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is V3 8...

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Q: Using an operator , solve the following differential equations d2y/dx2- 10dy/dx + 25y= 0

A: This question is based on solution of differential equation using D operator.

Q: For the given function, find all values of c over the interval (,50) stipulated by Rolle's Theorem s...

A: We have to find the following given conditions according to the given information

Q: 1. Given: y = 2x - Find: a.) dy/dx b.) y"

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams we...

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

A: Differentiate with respect to x. 

Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

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Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

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: Consider the indefinite integral dx Then the most appropriate substitution to simplify this integral...

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: Find your answer below 

Q: Evaluate P(n, k – 1)P(n – 1,n – k). - k=1

A: We have to evaluate ∑k=1nPn,k-1Pn-1,n-k