Real part of f(z) = z³ + i – 1 is: | إختر أحد الخيارات x³ + 3xy? .a None of these b 3 – 3xy? – 1 .c x3 – 3x²y d x³ – 3xy? .e -

Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: Find the antiderivative of  x4(5x5 + 1)5

A: To find out the antiderivative we use u- substitution method

Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: 2. (Зх + 2у — 2)?

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Q: Find f. r0 - VD + Sx), 1) -9 X) =

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Q: Let g(x) = - 5x and h(x) = x +3. Find (g o h)(0).

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Q: dy Q1: - Find of the following functions dx x2 +3 b. y = (x-1)3+(x+1)3

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Q: Let f(x, y) = 2x - 4y + 7. Find the following. (a) f(3,-1) (b) f(-5, 1) (c) f(-5, -4) (d) f(0, 7)

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

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Q: 2х + 1 бх2 + 23х — 9 dx х3 + 2х2 — 3х Ja- 2)(x – 3)² dx

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Q: find 1- 2x f(x). 3 12). f(-2), f). fla), f(-а). f(la — 1)

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Q: Find all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

A: The given function f(x)=x4-2x3-12-5x2

Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: Evaluate ſ x³ {/ (1 + x³)² dk

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Q: True or False: XE Z, x? > 0

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Q: Let f(x,y) = 3x + 3xy, find f(0, - 3), f( − 3,2), and f(3,2). f(0, -3)= (Simplify your answer.)

A: f(0,−3)=1

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: Find the domain of the square root function: w(x) = Vx + 25 x > 25 (-0, –25] [-25, о0) (-0, –5) U…

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Q: Evaluate using the substitution method. √ dz 2x4 (6 +x5) 4 2 1 [(26²du) - 15 (6+23)² + = = + C +x5)³…

A: Given ∫2x46+x54dx

Q: Find the number of zeros of g(2) = z+z++2:²+1 in the first quadrant,where z €

A: Given function is gz=z13+z4+2z2+1. We have to find the number of zeroes of gz in the first quadrant…

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

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Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: S 1 (x + ²)² + ( √ 39 ) ² 2 dx

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Q: If f(x,y) = 2x2-5xy+y?, find the value of f(1,2). A -2 -3 -4 D -5 B.

A: f(x,y)=2x2-5xy+y2

Q: f (3x² − 2) dx using the definition of the definite

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Q: The function f(x) =is 1-z2 Is 9+z2

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Q: ab Q4: Show that if f(x) : then fa - fb = f() b-a

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Q: Let f(x) = V9 + x. Find f(3V5) ·f(-3V5)

A: Given: fx=9+x

Q: Let f(x, y) = x²-2 y.(y+4)

A: We can compute the determinant.

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: x2 (C) S²_₁₁√x+2 -1 dx

A: To find ∫-17x2x+2dx

Q: Find the inflection point(s) for f(x) = x* - x° +6. O A. (0,6) and (2, – 4) O B. (0,6) and (2,2) OC.…

A: Given,  fx = 14x4-x3+6  We have to find the inflection point of fx

Q: The functions f(x)= 4x+a and g(x)= 36 – 4x are such that fog(x)=g•f(x). Find a in terms of b. a=--b

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Q: Evaluate: a) J 5x8+4x7+x6+7x²+3x-15 dx (x²-4)(5-6x)(x2+2x)

A: We use method of partial fraction to solve this integral. If degree in the numerator is more than…