sam s
2022-07-12

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asked 2022-06-10

1)Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

*f*(*x*, *y*) = *y^2* − 10*y* cos *x*, −1 ≤ *x* ≤ 7

2)Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

*f*(*x*, *y*) = 7(*x^2* + *y^2*)*e^(y*2 − *x*2)

asked 2022-05-13

Evaluate the left hand and right hand sums for f(x)= 6-x^2 on the closed interval[-2,2] with n=4

asked 2022-06-15

asked 2022-03-31

Proving the double differential of $z=-z$ implies $z=\mathrm{sin}x$

$\frac{{d}^{2}z}{{dx}^{2}}=-z$

implies z is of the form $a\mathrm{sin}x+b\mathrm{cos}x$. Is there a proof for the same. I was trying to arrive at the desired function but couldn't understand how to get these trigonometric functions in the equations by integration. Does it require the use of taylor polynomial expansion of $\mathrm{sin}x\text{or}\mathrm{cos}x$?

asked 2022-04-03

asked 2022-08-23

asked 2022-06-20

Define a relation T on R as follows: for all x and y in R, x T y if and only if x2=y2.

Then T is an equivalence relation on R.

(a) Prove that T is an equivalence relation on R.

(b) Find the distinct equivalence classes of T.