I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume. (Shell method.) Now suppose the region is revolved around the line z = 7. ti

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A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

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A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

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A: a→=1,3,2 ,b→=-2,2,1

Q: cuny.edu/webwork2/tren/calculus4-2s/5/ Previous Problem a) b) S Problem List A graph of f(x) is…

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Q: If f (x) = √x² - 6x +10, then what is the derivative of f at x=3 ? Round to the nearest tenth.

A: If fx=x4-6x+10, then to find the derivative of fx at x=3.

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A: y=1x2+c is a one parameter family solution of differential equation:  y'+2xy2=0.Initial condition…

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Q: Draw the graph of the parametric curve defined by x(t) = 6 cos(t) and y(t) = 6 sin(t) below.

A: To draw the graph of the parametric curve defined by  xt=6 cost and yt=6 sint.

Q: Determine which graph corresponds to the area enclosed by the curves y = 4x² and y = x² + 7. O O ú 6…

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Q: Answer the following questions for the given polar equation. equation: 7-2-2 sin 0 1 Fill in the…

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Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

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A: The x-intercept is 4 The y-intercept is (-1) The z-intercept is 5 So they can be written in ordered…

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A: Pt=P0ert⇒P0=initial population⇒r=Growth rate⇒Pt=Population at time t⇒t=time in hours

Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

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Q: Given f(x) = 3x + 7 9x² 5 A) Find lim f(x) ° x→∞ B) Find lim f(x) ° x118

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Q: The integral J W 6 3t 1 + 9t² 1 By substitution we have 3 18 1 + 9t² dt can be rewritten as In(1 +…

A: Given:

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A: Here we use the polar coordinates;

Q: дz əz Use the chain rule to find and Əs at z = (x - y)², x = s²t, y = st² əz as əz at || =

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Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

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Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

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Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

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Q: (b) J 32+3 22²-2-1 dx

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Q: Use implicit differentiation Find dy at the point (1, 1) for 7x² + 4y³ + 6xy = 0. dx 10 9 10 to find…

A: given 7x2+4y3+6xy=0 , point is (1,1)

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Q: Using the definition of the derivat to find the derivative of the following function. f(x) = x² ;…

A: a) f(x)=x2 b) f(x)=1/2 c) f(x)=sqrt(x) Find the derivative by definition.  According to bartleby…

Q: a) lim (-2x¹) = 8118 ) lim (-2x¹) = xx ) lim -√x = 118

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