Find an equation of the plane through(-4, 4, – 4) that is perpendicular to the planes 9x – y + z = 9 and x + y – 10z = 4.

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A: a≡b(mod n) means a-b is divisible by n

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A: Please see the answer below.

Q: 10. Maximize f(x, y) = 25 – ² - y² subject to 2x + y = 10

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Q: Evaluate the indefinite integral. dx 1 + x10

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Q: 2. Evaluate the following limits. x+ 1, if x 1 c. lim f(x) a. lim f(x) b. lim f(x) x→1+ x→1- X→1

A: Explained below

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Q: Find P,(1,200, 1,800) and P,(1,200, 1,800), and interpret the results.

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Q: Question Suppose that the length I, width w, and area A = lw of a rectangle are differentiable…

A: l=7 , w= 9A = lw differentiate w.r.t tdAdt=l dwdt+ wdl dt

Q: The point (x, y, z) = (-1, –1, –1) under rectangular coordinates in R³ can be described through…

A: Let's find.

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A: The given function,  f(x)=1x,if x≤1x2-1,if x>1

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A: A detailed solution is given below

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A: To solve the following problem

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A: The path r(t)=sin(3t),cos(6t),cos(3t) at t=π2

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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Q: Find an equation of the plane through (– 1, 3, –4) that is perpendicular to the planes 8x – y + z =…

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Q: v = 8i – 5j – 4k - w = -5i + 9j – 4k Compute the dot product v w.

A: The formula for dot product of two vector a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ is given by the…

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Q: Let g be a function that is defined for all x, x# 2, such that g(3)% = 4 and the derivative of g is…

A: Solved below

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Q: af when r = 2, t =- 1 of the function ar 4. Use the Chain Rule to find- f(x, y, z) = e3xy² cos 2xyz…

A: This is a problem related to chain rule for differentiation. Based on the formula we will find out…

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Q: 11. Eliminate the arbitrary constants of cx? + x + y² = 0.

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Q: 2. Let g(x) = ev cos +, Approximate the value of g(0.2) using the second degree Maclaurin polynomial…

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Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".…

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Q: 1. State the domain and range of {(x, y)|y = + 3}.

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Q: dy A9. If xy- cos x = 1, then dx シーsinx ソ+cosx -y+cos x y+sin x (b) (d)

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Q: Solve the inequality 36x –x<0 and write the solution set in interval notation.

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Q: (a) Find the y intercept(s). (Enter your answers as a comma-separated list.) y = 675 (b) Find the x…

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Q: Solve the differential equation. dy = 5 ex-y dx Choose the correct answer below. O A. y= 5 e* +C O…

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Q: Listen Use the Ratio Test to determine if the series converges or diverges. ne-Sn n=1 Converges…

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