1 ) [ x (x ² − ² + + + + ) dx i) - x

Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: Find the domain of u. u (x) = 4 / square root 11- 3x

A: Find the domain of u(x)

Q: Use algebraic manipulation to prove that (X +Y)(X + Y) = X

A: Given: X+YX+Y=X Now, first we shall simplify left hand side of equation.

Q: S (et +3e²x) dx 2x 5+4et-e²x

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Q: Solve the following function for the value (s) of x  2x2-6x+4=0 a)(2,0) (1,0) b)(-2,0) (1,0)…

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Q: b. Маx z %3DX1 + X2 s.t. 2x1 + x2 < 20 X1 +3x2 < 15 X2 < 4 X1, X2 2 0

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Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: 3.) flx) x+2

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Q: [f(a)]² =

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Q: Find the domains of h(x)=1/(x3+1)1/3.

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Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

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Q: -1 t² Vta 6 dt

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Q: 1. [(x²+ ux) Jx3 +1 dx

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Q: Determine the value and location of any inflection point of h. Enter the solution in (x, h(x=…

A: Given function is Now differentiating it twice we get  Noted that there is no x for which  , In…

Q: 8. lim x 0 √x²+4-2 x2

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Q: 7. lim /* √x² + 8 dz h→0

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Q: (c) [ √4x² X -dx

A: The given integration is

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

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Q: 1. Expand (r+ 1)(x – 2)(x + 3)

A: We will explain this using commutative law and associative law of multiplication.

Q: 6. (x – 1

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Q: f (x) = (8 − x)(x + 1)2

A: It is given that     f(x)=(8−x)(x+1)2 We have to find the zeros .

Q: x-4 -dx x² – 5x +6

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Q: Show that: n n > (xi – x)2 > x? – n(x)2 | i=1 i=1

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Q: x²-3x - 7 √(x² + x + 2) (2x - 1) dx

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Q: Z = (1 + i)(2-1)-¹, find |Z|.

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Q: x(t-1) * 6[t+1] equals x(t+a) where a equals. Answer:

A: Given, x(t-1)* del(t+1) = x(t +a)

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: f(x) = x² + 2x-1

A: If you like the solution then please give it a thumbs up.... The Answer is:    Explanation:   (1)…

Q: 5 Evaluate [ (x + 2)(x² - 1) dx

A: Solution:Given   let      I=∫25(x+2)(x2-1)dxFormula:∫xndx=xn+1n+1+C

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

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Q: Let Z3[x]/ (x³ + 2x + 1) be given. What is x7?

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