. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z = 2 and x + y - 8z = 4. %3D

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A: We know, ∫xndx=xn+1n+1+C , C is a constant and n is any real number.

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Q: on

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A: Here we have to determine whether f(t) is continuous, piecewise continuous or neither on [0,10].

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A: Explained below

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A: Follow the procedure given below.

Q: 2x e3a² dx

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Q: 83 90 72 Find the 14th percentile, P14, from the following data 1 2 3 6 10 11 12 13 15 18 20 21| 22…

A: Here, we have n=37 data values.

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A: Here given that: ln(1+x)=∑n=0∞(-1)nn+1xn+1  ...(1)if |x|&lt;1

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A: Here is the solution

Q: 30. For a certain continuous function f, the right Riemann sum approximation of f(x) dx with n…

A: The right Riemann sum approximations of ∫02f(x)dx with n subintervals of equal length is…

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A: Fill in the blanks.

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A: This question is based on application of definite integral and shell method.

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Q: Find dy/dx for  a.) y=xx+3

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Q: Ho do this. Apply the Direct Comparison Test to the series (a) determine the contrived series, (b)…

A: contrived seies∑n=1∞n-3n5n=-25-150+0+....

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Q: Solve the differential equation dy y(0) = -1. dx 3+1 There is no need to isolate y.

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Q: Consider the following. y = x2 y = 20 − x   (a) Find the area of the region by integrating with…

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A: Given, x/((x-2)(x-3)) Performing partial fraction decomposition we have,

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A: we say at x=a limit exist if the both right and left side limit exits and equal at x=a

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A: Basic linear programming problem

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A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

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Q: Question 3 Find the domain of the folowing function 4xy fix.y)= O (kyly*x?} O {kylly2x) O (kylly>x)

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Volume

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Q: fIND THE DERIVATIVE: 1. f(x)= [(sin x)(cos x)]

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Q: 2. Let f(x) be a function of period 27 such that f(æ): over the interval 0 < x < 2x. a) Sketch a…

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A: We have to choose correct option.

Q: that has i +j and i – 18j as adjacent sides. NOTE: Enter the exact answers. ||d||= 19 ||d||=|17.12

A: Vector

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: 1. y=ln2x4x2-12. y=logtan x33. y=ln3+cosx3-cosx

Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method.FULL SOLUTION x^3sec^2ydy –…

A: A detailed solution is given below

Q: what is of the waximal domain gla) = Inf2x)

A: Maximal domain is the largest set of real numbers for which the function is defined. The given…