The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the points (3,1).

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A: Here we have to use sigma notation to write the Taylor series about x=x0 for the function f(x)=ex; x...

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Q: -8 Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval....

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Q: 7. Determine f(x) so that Scon cos(In°x)f(x) dx = sin(ln²x) + C 2 Inx (a) 2 In x (b) In x (c) (d) 2

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Q: Find the solution of the following equations: 1. у' —х-4ху 2. (2xy + x² + x+) dx – (1 + x²) dy = 0 3...

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Q: C) Replace the following polar equation by equivalent Cartesian equation. rsine Inr + In cose %3D

A: We can replace the given polar equation by equivalent Cartesian equation as below.

Q: he given values of the ndicated derivative.

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Q: dx reduces to du The integral 3. ex + 1 where u = f(x) and for some и constant k . Compute f(1). (a)...

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A: Given that fx=cosπ3sinxgx=π3sinxsinx is continuous in x∈-∞,∞gx is also continuous .Range of sinx is ...

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Q: Evaluate the integral cot 2x Xp- Vcot2 2x - 15 -금ArCsec Csc 2x +C A 4 -nlcot 2x + Vcor 2x - 15|+C co...

A: This question is based on indefinite integral.

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Q: 45-48. Average values Find the following average values 45. The average distance between points of t...

A: Here, the given disk is: R:{(r,θ):0≤r≤a} which is a circle x2+y2=a2 Therefore, the average distance ...

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Q: Evaluate the integral dx 2xx - 3x?

A: To find: The integral ∫dx 2xx3-3x23 Concept used: ∫1-v2+1dv=lnv+12-lnv-12

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Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x + 3 1 -1* 7*+1 (x – ...

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Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1 Pa(x) =

A: this is the polinomial expansion question in this we use maclaurian transform formula and answer is ...

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Q: 9. 2x + cos x = 0

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Q: 1. F- x/x is a weekday) Roster Method 2. G- (1, 2, 3, 4, 5, 6, 7, 8, 9, 10) Verbal description metho...

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Q: ts Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box...

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Q: Find the average rate of change for the following function. f(x) = 2x - 5x +3 between x = - 1 and x ...

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