State the Domain of f, i.e., the largest set on which the function f(x, y) = continuous. Insert the correct condition in the set-builder notation below. Be sure to use the clearest possible form for the condition. Dƒ : {(x, y) :} Now enter the Range of f using interval notation. (Note: You can enter ∞ as inf and -∞ as inf.) Rf: 17 √4x² - y² is

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Q: 6. If P (t) = 2 sin t, then find P(19) 2πt 3

A: given P(t)=2sintwe know  d dt(sint)=costd dt(cost)=-sint

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A: fx=∫1xt3+2 dt  To find: Average rate of change of f over the interval 0,3

Q: Perform the addition or subtraction and simplify. 10x - 3 x + 4 2

A: (10x-3) /(x+4) -2

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A: C=9101D=2653

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A: ∫01∫0z∫0π2r2cos2θ+z2rdθdrdz

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A: We are given with the integrals

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A: We have to find the inverse function of g(x) = e2x + 15

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A: Triple integration

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A: Domain: [-1, 2] for the graph of the given function.

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Q: 36. Carbon-14 Dating Measurement Sensitivity To see the effect of a relatively small error in the…

A: We need to find the year when animal died.

Q: 10. Find the critical points of th 1 f(x) = X - Inx

A: f(x)=1x-lnxformula used is (i) d dx(xn)=nxn-1(ii)  d dx(lnx)=1x

Q: (e) Determine the intervals over which the function F(x) = fedt is concave up and oncave down.

A: formula used  sum of squares of 'n' natural numbers∑i2i=1n =  nn+1(2n+1)6

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Q: b) lim 12 6x¹² - 71r 100 3x¹5 - 14r³ +2

A: Consider

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