Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

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Q: 800 N, P: 500 N.

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Q: 3. Which of the following is always true for any real nur O For real ɛ > 0, if x-yl s &, then x = y…

A: 3. For 1st option: let  x = y + ∈ then |x-y| ≤ ∈ but  x ≠ y So option 1 is incorrect. For 2nd…

Q: ments is defined as N(a+bV2) = |a^2 ^2].Prove that for every a, bER (b 6= 0)it is sible to find q,…

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Q: 15. Verify Stokes' Theorem for the vector field F = 2xyi + xj + (y + z)k and the surface z = 4 – x²…

A: please comment if you need any clarification. If you find my answer useful put thumbs up. Thank you.

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Q: erential equations, use phase flow, ial conditions, indicate x and y Iclines and equilibria. (if…

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Q: pute the Fourier sine series expansion of f(x) = 3x – x² on [0, 3]. nat value does this series…

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Q: Let T: R2 R2 be a linear trasformation such that T (x1, 22) T (x) = (3, 1). (x1 +x2, 2x1 + 3x2).…

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A: We will use standard parametric form of these curve to match   For circle x = a cos(t) y = a sin(t)…

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A: To find the number of term such that the error is less than 0.001 .

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Q: Find the angle a between the vectors [] 5 and -1 a = 48.37 2.

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Q: Which of the following is always true for any real numbers x, y? For real ɛ > 0, if |x-y| 0. m >n…

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Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ MAL KË

A: Given the vector field is Fx,y=yi

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A: This is a problem of linear transformation.

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A: According to guidelines we solve one question.thanku

Q: 2. Consider the logarithm function ln : (0,00) → R. Decide whether this function is injective and…

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Q: Find aw/ar and əw/əs when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs. %3D

A: We have to apply the partial derivatives.

Q: Let C be the parametric curve defined by Sx(t) = t2 – t – 2, |v(t) = t* – º +t. Determine if C is…

A: Substitute x=-2 in the given equation xt=t2-t-2 and simplify to calculate the value of t.…

Q: :Q3 Classify PDEs below и ди y2 и + и = ue 5x — - ду

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Q: You want to start to save for a major purchase. You can invest P320 every three months for 3 years…

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Q: -6an-1 for n > 2 with the initial condition a = -9. an an

A: Given an = -6an-1

Q: 1. Solve by D operator method d?y 2y +y = x²e3x dy dx2 dx Solve by method of variation of parameter…

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Q: b)+++ -1- for all n 1. ... 4 2"

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Q: sin° (ec) cos" (eF) dc COS

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Q: Answer  1)  4-1 2) 2 Intersection 4  3) (2 U 3) - 1

A: The following graphs are determined as shown below.

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A: Given, According to demographic studies, each year about 7% of city`s population moves to the…

Q: 15. Determine the numerical value of the factor (P/F, 8% ,6). A 1.5869 B 0.6274 0.6302 D 1.5938

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Q: 5. Fill in the blank: For x, y E R. Equality in the Triangle inequality is satisfied, i.e. [x+y = x…

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Q: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

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Q: ions Ž(1-) sin(nx) n=1 verges pointwise on the closed interval [v,n-v], and if so, whether the…

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Q: 6. Milk with 3.8% fat and 8.1% fat-free solids (FFS) is used for the production of canned…

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Q: Let where A and B are some constants. given that ü = , V = ü + 10v = find the value of the product…

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Q: Find Taylor series of the function: f(x) = V9 – x2 1.

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Q: Show that f(2) = (2-1) cos) singue has an essential z + 2 at 2=-2

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Q: Use an appropriate test to determine whether the series given below converges or diverges. (In n) Σ…

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Q: Example 6.10. Assuming that the following values of y belong to a polynomial of degree 4, compute…

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A: This is a question from Application of calculus.

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A: Introduction: An argument can either be valid or invalid based upon its truth value. The validation…

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