Let f(x, y) = x³ + y³ + 9x² – 3y² – 1. List the saddle points A local minimum occurs at The value of the local minimum is A local maximum occurs at The value of the local maximum is

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Q: 14) Solve the equation. Check for extraneous solutions:

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A: We will use basic knowledge of geometry and arithmetic to answer this question.

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A: We will use basic knowledge of combinatorics to answer this question.

Q: Determine the Fourier Series of the given function. 1. f (г) — х; —1 <х <1

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Q: 1. Determine the Fourier series of the following 17 (1|5) fle) = lo d>5) a. 15 (-7sts7) o otherwise ...

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Q: Find the 5™ roots of the complex number [(2+x) – 5i] , where x = last digit of your ID Number.

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Q: m. ; D2=58.2

A: Given as. VE=4096.25 m3,C1 =5m,C2 =7m,D1 =44.5 m,D2 =58.25 m,L=20 m.

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A: As per rule, allowed to answer first question and post the remaining in the next submisison.

Q: Draw a Cayley graph for Z/7Z with generating set {2¯,5¯}.

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Q: 1. There are eight different ice-cream flavors in the ice-cream shop. (a) In how many ways can we ch...

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Q: Given the ordinary differential equation d'y dx² + dy -6y =0 with yco) =0 and dy (6) =1 , the value ...

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A: Here we use the technique of Auxillary equation .

Q: -54 ) Express the vector i and y -5 as a linear combination of a = 4 y.

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Q: Using Lagrange's formula interpolation the value of y when x=6 X: 2 4 8. Y: 7 21 73

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Q: ite a definite integra presents the exact of the cylinder and it.

A: Introduction: The formula for the are of the circle for the radius x is given by, A=πx2  

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Q: How many roots of the given polynomial? 2 -6 -4 -2 -2 3 -2 1 2.

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Q: H.W (1) Find Laplace transform for the following function; 1-f (t)=t sin at 2-f (t) =t coshat 4-f (t...

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Q: QUESTION 6 Prove that a cyclic group G= is Abelian.

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Q: 3) Simplify the expression. State what value(s) of the variable must be excluded from the answer.

A: The function in the form a0xn+a1n-1+···+an is called an algebraic function. The expression in the fo...

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A: Simpson rule for integral  ∫ab​f(x)dx =∆x3  (f(x0 )+4f(x1)+2f(x2 )+4f(x3)+2f(x4 )+.......+2f(xn-2 )+...

Q: Solution of dy/dx + 2xy = y is (A) y = ce* B y = ce -? © y=ce*²_ - x (D y=ce*-x2

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Q: The school that Huong goes to is selling tickets to a spring musical. On the first day of ticket sal...

A: To solve the system of the two equation a1x+b1y=c1a2x+b2y=c2 Use elimination method  Consider the e...