QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium x=3. %3D O $2 O $ 27 $9 $ 18

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A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

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A: Here is the solution

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A: let  I be the 4×4  identity matrix I=1000010000100001

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Q: 12 Given: F : =â, determine F•â. 2

A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

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A: A detailed solution is given below.

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Q: Consider the polar curves C2 :r = 4 cos 0 and C3 : r = 4 sin 0. %3D (a) Determine the slope of the…

A: C2: r=4cosθ       red colorC3: r=4sinθ        green color

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A: Solve the following

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A: The rate of growth of an ant farm is gt=15e5t and  the rate of decline of the ant farm is dt=15e5t.

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A: It is given that, the equation of a cone is z=x2+y2,1≤z≤4 and the density function is δx,y,z=10-z.…

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Q: dy + 2(t + 1)y? = 0 dt b) Solve ;y(0) 8

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Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim x-4 (Vx+5)-3

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Q: What is the largest value of x for which the series (x - 8)" n 4 is absolutely convergent? Answer:

A: FOLLOW NEXT STEP

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 ecos-1x -xp- V1-x 5. S 6. Se…

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Q: m²-m Find S (m1) dm

A: Given; I=∫m3-m-1mdm   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

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A: The given curve,x=8 sin(t), y=t2+t at (0,0)

Q: Solve for the indicated higher-order partial derivatives, frx, fæy , fyy. f(x, y) = e" sin y + e"…

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Q: Solve the following problems using the concepts of Parametric Equations. Show complete solutions.

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: (a) The given function is: f(x)=x3 The formula for the linear approximation at x=27 is given by:…

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A: To evaluate the given iterated integral.

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for tN 0. Then the integral L{f{t)}…

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Q: The radius of a sphere is increased from 20 cm to 20.2 cm. Estimate the change in volume.

A: Given: The radius of a sphere is increased from 20cm to 20.2cm. To find: Estimate the change in…

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A: This question an be solved using the concept of rate of change of physical quantities.

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Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x-4x2-2x x+4 2. lim…

A: 1)limx→-4 x-2x2-2x x -4.1 -4.01 -4.001 -4.0001 -4 -3.9999 -3.999 -3.99 -3.9 f(x) -0.2439024…

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A: To find the equation of tangent at the given point

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Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: First supposed that an angle as alpha then use trigonometric ratio  and make a relation between x…

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: x cosy dx + cos?x

A: We have to choose the correct option from the given options according to the given information

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Let's find.