1 f (x) = x+÷, then the set of values for which f increases is | Select one: |(-x, –1]U[1,) а. [-1.1] b. (-0,0)U(0,0) с.

Q: pu. --s) 4) Show that the function + and on the portion r <-4 of the real axis. is analytic…

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Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: Use the function f(x)=x",x>0 to determine the bigger of the two numbers e' and a

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Q: Let x = (m, 1, 0,-2)", m> 0 and ||x||2 = V30, then т — Select one: а. 4 b. 7 C. 6 d. 5

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Q: & lve by line x=+I and line y I

A: The integration of [(x2+xy)dx + (x2+y2)dy].

Q: V1-x² 2 dx

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Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: +タ x2 – 1

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Q: Draw the function y = x^2 + 2x %3D

A: Since, it is a second degree polynomial in x, it is called a Quadratic polynomial which has two…

Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: F(x, y) := x² + xy + y² – 1 y – x2

A: Solve the given problem.

Q: Find one of the two residues of the function (2z + 3)/(2 - 2) on its poles. а. 0.25 b. 0.75 С. -7/4…

A: We say cauchy residue theorm 2πIota (sum of residues at singularities inside C)

Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: (5) If x > 0 then 1/x > 0.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The domain of f(r) = /3 – ± In(x) is Select one: O a. (0,3] O b. (0, 00) О с. (0, 3] O d. (-00, 3)

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Q: dx. = 9) Evaluate 2x-1

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Q: 2. fote-t² dt

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Q: 12v2r| (v2 - ) a

A: We will use property of absolute function and split the interval in two parts

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: Vxdx 2. For J T-Vx use 4 O u = JA u = x O u = Ja

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Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Q: Ex: If f(3) = 0, show that əz дz x- x² + y = Z. (H.W.) əx Əy

A: We have to prove the given statement.

Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

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Q: The absolute max for the function f(x)=x2 – 2x+1 on the interval [-2, 3] occurs at : Select one: а.…

A: Given function is  f(x)=x^2-2x+1

Q: 12) y- 3x+ 2x

A: We know that ddxxn = n·xn-1

Q: Differentiate the function. u' +71

A: Topic = Derivative

Q: P=S/(S+F) Express S in terms of F and P

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…