1 Verify if y = -+; xy + y = x² is a solution of a differential equation.

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Q: /| J. Let J = xy dA where D is 2 %3D D the region bounded by the x-axis, .3 y = x' and x = 2

A: Intersection points:y=x3, x=2, y=00=x3(0, 0)y=23 =8(2, 8)

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Q: the ground. (a) How many seconds after its release will the bag strike the ground? (Round your…

A: Given  Initial height = 32 feet initial velocity = 16 feet per second  a(t) = -32

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Q: lim e 0 t/ Select one True False

A: limx→0+e1xusing chain rulelet f(x) =1xg(u) =eulimx→0+ f(x) = limx→0+ 1x =∞

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A: Average Cost = C(x)x. Marginal Cost = C'(x)

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000

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A: The solution is given below.

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Q: Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work…

A: Given query is to find indicated derivative

Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

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A: a)β=10ln(10)lnI10-16β=10ln(10)lnI10-16β=10ln(10)ln(I)-ln(10)-16β=10ln(I)ln(10)+16ln(10)ln(10)β=10log…

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Q: Question Determine where the local maxima and minima occur on the graph given. 12 10- 8- -12 -10 -2…

A: From the given graph we can see that there are two local maxima.

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Q: x³ – 36x 20

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Q: 2)tind the third degree Taylor polynomial Is (x) centered at a= I forr the function f (x)= 2

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Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) 12 dt 3t +4

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Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: au = 6x + 7, du = e*dx. %3D

A: answer is in next step

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A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

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Q: Compute the length of the curve r(t) = (-6t,4t + 4, –5t – 3) over the interval 0 < t < 7. (Use…

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Q: Solid created from these conditiong limited to 0eyet fiest actant on ly Positive xy-plane

A: y=xx=y2,0≤y≤10≤x≤y2z=1-yy=1-z0≤y≤1-z,0≤z≤1V=∫01∫01-z∫0y2 dx dy dz

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Q: Use the Integral Test to determine whether the infinite series is convergent. Σ -4 n=1 Fill in the…

A: Let the function f(x)  is a continuous, positive and decreasing function on the interval  [ k,∞)…