* Find the value of Tx3 + 2 lim [sin (- x3 +1 X00 1 O O O

Q: Vx2+3 lim X-

A: limx→∞x2+3x=limx→∞x2(1+3x2)x=limx→∞x(1+3x2)x                         =limx→∞ (1+3x2)     =1

Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on x.

Q: Identify the zero's

A:

Q: I-Shinx dx Ig-/sin'xdx 2-x2 dx

A: We have to evaluate the above integrals. NOTE - According to our guidelines we have to answer only…

Q: 5x3+8х2 2. Find lim х30 Зx4—16х2

A:

Q: Calculate

A:

Q: x^2(1-2x)^5 Find y`

A:

Q: Differentiate with respect to x. -4(3x-12)^2

A:

Q: Use Use your Exponent Rules to Simplify (4r* y" 2² ) (xy") 4a° y1 3 4.x 213 ,10 46,10 6,10

A:

Q: 22/3

A: Given: The limit is limx→3 3x3- 4x2 - 13x - 6x3 - 4x2 + 3x .

Q: For each ODE with non-constant coefficients, use the given homogenous solution to find a particular…

A:

Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.

Q: state the number of roots for the function f(x)= x^7+65x^4+64x

A: Given: The function is f(x)=x7+65x4+64x. Concept used: The highest power of the polynomial is the…

Q: Use the fact that 6i is a zero of f(x)=x^3-2x^2+36x-72 o find the remaining zeros

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Q: State the domain of  f(x) =  8^ √ 5 − 2x.  Enter your answer using interval notation. The domain is

A: