Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces 1. 3 2 -1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (11, 12) = 1/2

Q: Evaluate the sum using the given information. X1 = - 3, X2 = - 1, and x3 = 2 Xj - 5 Σ 2x; + 4 3 j= 1…

A: Solution is given below:

Q: Verify the Divergence Theorem by evaluating F.N dS as a surface integral and as a triple integral.…

A: Here, using the Divergence Theorem, ∯F·Nds=∫∫∫v∇·Fdv Here, F=xy,z,x+y So, ∇·F=∂F∂x,∂F∂y,∂F∂z=y,0,0

Q: 14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x…

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Q: pls help me out thanks integral

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: Here, the area bounded by the curves y=4+x, y=0, x=0, x=16 is given by: A=∫016∫04+xdy dx

Q: 2. Give the domains for the following functions where: 1 f (x) = and g(x) = V4 – x 1 (i) (ƒ og)(x)…

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A: answer is in next step .please give a like.

Q: VI 23) Consider the region in the second quadrant between the ciréies X²+y?=4ard x?7y==25 ?-25, and…

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Q: Find the required limit or indicate that it does not exist. lim o+ (in (t6), 12 in t O 6i O Does not…

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Q: 6. Write an expression equal to log3(4) + log,(5) |using at most one log. 7. Give one example a that…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Show…

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Q: Write the binomial expansion for the following expression. (1*+1) 5 (1* +1)° = (Simplify your…

A: To write the binomial expansion.

Q: Question 16 Find the equation of the tangent plane to the given surface at the indicated point. x2…

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Q: Convergent. or divergent dx ra5-x 3 25-X

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Q: 1. If = (1.0.-3) and i = (6,-3,-4) compute ixw.

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Q: Find the sum of the first n terms of the following arithmetic sequence. a1 = 2, d = - 4; n = 6 O A.…

A: Given problem:- a1 = 2 ,d = -4 ,n=6  To find:-  Sum of n terms of given arithmetic sequence

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Q: Can someone please double check my work for this problem? Thank you SO much!

A: Given problem:- Evaluate ∫c F. dr,where F=<x,y2>and C is the line segment from (-1, 5) to (0,…

Q: Evaluate the definite integral

A: Evaluate the definite integral .

Q: 4x d.x J V3 - 4x – 4x2

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Q: dr J z(x+1)² 14.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the indefinite integral le*+3 dx: a) This can be transformed into a basic integral by…

A: Explanation of the answer is as follows

Q: Find the average value of the function over the indicated interval.   ​(B) Graph the function and…

A: To find the average value of the function,      fA=1b-a∫abf(x)dxWe have, f(x)=500-90x, a=0, b=2

Q: 1 Given Rn 7+i- cos 7+ i- , express the limit as n → ∞ as a definite integral, n i=1

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Q: If f(x) = [ V19+ t² dt , find f'(3)

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Q: 1. A navigator wishes an aircraft to fly W22°N with a groundspeed of 300km/h. There is a 60km/h wind…

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Q: Solve the differential equation for general solution 7y6dy = 8x

A: Given query is to find the solution of the differential equation.

Q: Question 9 Solve the problem. Find the volume of the region enclosed by the sphere x2 + y2+ z2 = 100…

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Q: -dx is an improper integral. A True B) False

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Q: Suppose that f (x) is a function such that lim f(r) and lim f (r) both exist. Does this mean lim…

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Q: ) Syppose f and g are functions with continuous lerivatives, and that they satisty the following. S…

A: Let's find.

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Let, First number = x & 2nd number = y therefore, x+y=25   & x-y= 7

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: We have to find integral

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Q: (a) / 6(6x + 7)°dx

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Q: 2. sin 2wcos 2wcdw

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Q: Find the area of the region enclosed by the curves y=x2−2 and y=2.       Question content area…

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Q: 2) (-2)77"= 5h hzo

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Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: Find the general solution for the differential equation. y' = 2 - x³ + x6

A: Given query is to find the solution of the differential equation.

Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: Find the indefinite integral by using the substitution x = 3 sec(0). (Use C for the constant of…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: H.W (3) 1- find fxy fxx fyx fyy for f (x,y) = x2 +3xy- y*

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