Question 1 Explain that (AB)" = BT AT 21 A = 0 1 3 402 1 and B = 2 0 -1 1 1 -2 1 3

Q: Find the linearization L(x.y) of the function f(x.y) at Po. Then find an upper bound for the…

A: Differentiate the function fx,y=5lnx+3lny with respect to x and y, to find fx, fy, fxx, fyy and fxy.…

Q: A and B play a game in which their chances of winning are in the ratio of 3:2. Find A's chance of…

A: Given that  A and B play a game in which their chances of winning are in the ratio of 3:2 P(A…

Q: 1. The function shown in the graph satisfies lim f(x)=9, determine the appropriate values of X-6…

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Q: 2. Use summation propertics and formulas to rewrite and evaluate the following sum s. (a) 20(k –…

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Q: Evaluate the triple integral. 4x dV, where E is bounded by the paraboloid x = 5y2 + 5z2 and the…

A: We have a paraboloid, and each cross section is a circle, parallel to the plane x = 5. We use…

Q: 3 3 = 0, then x = ? Зх — 8 13. If 3 Зх - 8 3 3 3 3x – 8|

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloids y…

A: Consider y=x2+z2 and y=72-x2-z2      ..... (1) Find the point of intersection…

Q: luate the integral. /2 7 cos?(0) de

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Q: 6. A particle moves according to a law of motion s(t) = t³-12t² +36t, t≥0, where t is in seconds and…

A: The position of a particle st=t3-12t2+36t, t≥0, where t is in seconds and s is in meters. We have to…

Q: A transformation rule on coordinates can represent a composition, or a single transformation…

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Q: The Glucose Problem (Part II). Glucose is a simple sugar that serves as an energy source in…

A: Please examine the given expression carefully. We will be using this equation and its derivative to…

Q: Construct all random samples consisting two observations from the given data. You are asked to guess…

A: total watermelon=6 out of 2 can be selected without replacement. Hence all possible samples =6C2=15…

Q: Find the center of mass of a solid of constant density bounded below by the paraboloid z = r² + y?…

A: Given, z=x2+y2z=4 Now, r2=x2+y2 Converting the equations for z into cylindrical coordinates,…

Q: In eight throws of a die 5 or 6 is considered a success. Find the standard deviation. A. C. 3. D.A…

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Q: 1. The differential equation is said to be linear if and only if the degree of dependent variable is…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: Find the average value of the function f(p, p, 0) = p over the solid ball p< 1. Think of f(e, ø, 0)…

A: Given, f(ρ,θ,ϕ)=ρ over the solid ball ρ≤1. To find the average value of the function over the solid…

Q: Determine the probability of getting 9 exactly twice in 3 throws with a pair of fair dice. 8. А. 43…

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Q: d. If a rational function has a finite limit as x , then it must have a finite limit as x 43.…

A: We need to check whether the given statements are true or false by providing an example.

Q: curve/s. 1. From the records of XYZ University, there were 1564 freshmen students who took the IQ…

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Q: Solution 1 y = (x +3)(2x − 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x – 15 y = 2(2x)2-1 +1-0 y' = 4x+1…

A: We will interpret what the three solutions represent in the following step.

Q: hboard Infinite Carmpus Edpuzzle E Google the coordinates of a point in the solution set. y <-2x-2 y…

A: We will draw the corresponding lines and find the solution region.

Q: 5. (y-2)dx-(x-y-1)dy 0

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Q: E Method: X – 2x3 + 3xz = 9 -x, + 3xz – x, = -6 2x, – 5x, + 5x3 = 17 x1 = 1 x2 = 1 x2 = 1

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Q: Find the derivative of the function at P, in the direction of A. f(x.y) = - 4xy - 5y, Po(-7,2). A= -…

A: Given, fx, y=-4xy-5y2P0=-7, 2A=-10i-8j

Q: 2. Find the volume of the wedge cut from the 1-st octant in R³ by the surface z = 4-1 - y.

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