QUESTION 6 Refer to the graph below. When the price of a product is P2, then the consumer surplus is... Price A P2 C P1 Demand Q2 Q1 Quantity E.

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Q: 8 3. y2 = x and y² = 2 – x (Answer: S. U. ) 3 - -

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A: We have to find the laplace transform of the given function.   f(t)= te⁻³ᵗcos²2t

Q: d²y Given that x3 + y³ = 2, prove that 4х %3D dx2 y5

A: Given problem:-

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Q: dx J (9x2-36)3 a. b. rV2-ezx dx ex V5+ln²x dx C.

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Q: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

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Q: Find V. (F x G), if F(x, y, z) = 3.xi +j+ 6yk and G(x, y, z) = xi + yj – zk. V· (F x G)

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This question can be solved using the concept of tangent and normal in vector form.

Q: 21) Canvert tue rectengu ler equetion to poler forms. C 1ll- yt 1020 a) ra 20 coso り ne b 10 フ 2…

A: The given equation is: 11x-y+10=0   As we know that; The polar coordinates; x=rcosθ, y=rsinθ

Q: The following differential equation is exact. Find the general solution. (7x + 6y) dx + (6x − 8y3)…

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Q: The temperature at point (x, y, z) is given by T(x,y, z) = xy + sin(yz). Find the direction from…

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Q: Find the polar coordinates, 0s0< 2n and rs0, of the following points given in Cartesian coordinates.…

A: A)(3,3)r=9+9r=32θ=tan-1(33)=π4tail end of (3, 3) lies in the third quadrant.The polar coordinates of…

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Q: QUESTION 10 Suppose the demand function D(x) = - 3x+7 and supply function S(x) =2x+2. Find producer…

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. | (4x2 + 9) dx…

A: To find the value of definite integral using  fundamental theorem of calculus.

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Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 7 lim t 612 + 7't 1° = (?, ?)

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Q: Evaluate the double integral over the rectangular region R. 4xy dA; R = {(x, y): – 1 < x < 1, – 6 <…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: (D2+4)y=12

Q: 2 Use only the fact that 3x(2-x)dx= 4 and the properties of integrals to evaluate the integrals in…

A: The solution is given below

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Q: cos x sinx dx- 3 COS

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Q: 20) Find two sets f polar coordinetes, (r, o),0LOL2 IT Por the point (6,6) in recten- gular…

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Q: Use a triple integral to find the volume of the region bounded by 5x + 8y, z = 9, and the planes x =…

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Q: cosxdx 3T +Sinx

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Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given :

Q: esing pyphagoras th, Diff wt to t 2xda +rydy 20 at da dt az3 m

A: Apologies for the inconvenience.   Let, x = the distance from the wall. y = the height of the top of…

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Q: 1+9n² 1. b) Determine whether the sequence a, =. converges or diverges. If it converges, 1+n² find…

A: 1/infinity=0

Q: 1. Find the derivative of the following. f(x)=13x* -7x²+5x²+11x+75 a.

A: Formulas:ddx(a f(x))=a ddxf(x)ddx(xn)=an xn-1ddx(a)=0;  where a is a…

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Q: Find for the parametric curve c(t) (t-1 – 5t, 41) at the point t = -2. dx (Use symbolic notation and…

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Q: Find the arc length Lof the graph of r(t). r(1) = r° i+t j+Võr² k, 3 <155 V61² k, 3 <1< 5

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Q: denominator is a binomial.

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Q: Find curl (8z i + 9x j+ 10y k). curl(8z i + 9x j + 10y k) = ( i )i +(i j + ( %3D i )k

A: solution is given below

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A: Given Vertices (-a,0)=(-11,0) and (-a,0)= (11,0) ⇒a=11 Endpoints of minor axis (0,-b)= (0,-6) and…