Determine the general equation of the plane 2 passing through the point P(1, -4, –5) and parallel to the plane 2x + 4y – z = 0. Also, sketch the graph of N. %3D

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A: To evaluate the limit of the given function, substitute x=3 and y=2  in the given function.

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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: ƏM ƏN 5. In the differential equation (y² – x² -4x-1)dy+ 2y(x+ y+2)dx=0, what is |

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A: Total load=40 tons 1 ton in US=2,000lbs 40 tons=80,000lbs

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Q: 3. Let x² – y? x2 + y2 - f(x, y) Determine the limit of f(x, y) as (x, y) approaches (0,0) along the…

A: To find the limit of a function in two variables

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Q: Write the equation of a sine or cosine function to describe the graph. y 4- 3+ 2- 2n 10n -1 3 -2 -3

A: The equation of a sinusoidal wave is given by:y=p(sin(q(x+r))+dwhere p=amplitude, q=2πperiod,…

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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Q: Find the if yvx- 8 = xy + 2 Vx - 8 = xy + 2 – 8 dx

A: We can find the derivative as below.

Q: 0.5 -5 -4 2 -0.5- -1.5 Find the following limits, if they exist. 3. lim f(x) X-3 4. lim f(x) X-2

A: We have to find the limit of the function by observing the given graph.

Q: Consider a triangle ABC like the one below. Suppose that B=114°, C=40°, and c=47. (The figure is not…

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Q: what is an arithmetic sequence, the history , definition and uses?

A: We are asked to write about an arithmetic sequence

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Q: Write the equation of a sine or cosine function to describe the graph. `y 4+ 3+ 2- 87 10n | -1 3 3 3

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Q: 7. Test for relative maxı.na and minima and classify the critical points of the function f(x, y) =…

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Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 5 +t and L2: x = 1+4t, y = 3 – 8t, z = 5 – 4t are…

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Q: 4. f(x) = Vx , g(x) = Vx + 1 %3D %3D V4-x2 5. f(x) g(x) = |x| %3D V4-x

A: 4. Given : f(x) = ³√x = (x)1/3 and g(x) = √(x + 1) = (x + 1)1/2 fog = f[g(x)] fog = f[(x + 1)1/2]…

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A: Here is the solution.

Q: A water trough has an isosceles triangular cross section that is 55 m across the top and 12 m deep.…

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