Show that 0. x+1

Q: FIND F'): a. (ax+)*

A: TO FIND: f'(x)

Q: Let flx)-4x H2 %3D

A: Topic = Function

Q: Show that f(x) = x^3 + 100x^2 + 1 is O(x^3).

A:

Q: Find the derivative

A: Given function is  By using the properties of log  log(m)-log(n)=log(m/n) and log (m^n)=nlog(m), we…

Q: Show that 0 x+1

A:

Q: de 1. x(In 4x-1)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

A:

Q: Prove that (csc"x] = d -1 2 XVr - 1

A:

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: 2.x= 28°

A: Given:Angle at one end of triangle =28°To find:x=??

Q: Show that for all x>0, e* >1+x+÷ 2.

A:

Q: 1 Let h(x) x2

A:

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(0) = 0

A: Given: f(0)=0

Q: . If f(x) = 3x find the image and preimage of 6.

A: Given: fx=3x To determine: Image &amp; Preimage od 6.

Q: st ourable (F)

A: *Answer:

Q: Then X = ..

A: Provided table of frequency distribution is: Classes Frequency 32 – 34 4 34 – 36 7…

Q: Determine the values of h (1) and h(0) if it exists.

A: The given function is as follows.

Q: (c) Show that f(x)>0 for all values of x, x # -2.

A:

Q: Compute x -1 where x =i +1 2.

A: topic- complex numbers

Q: -1, if -n <x<0 1, if 0sxSa h) f(x) = { %, -1<x<0 0<x<1 -x, if %3D if

A: We find Fourier coefficients then find required Fourier series.

Q: x : x is a natural number less than 10​}

A: Write in explicit form

Q: Find f'(1) if Aæ) = (x² –-x²-x+1)(x² + 1). 1 O 2 O -3

A:

Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: -1 if x <0 (x) 3D{0 if x 0

A:

Q: Find the domain: f(x) = In(3 – x).

A: A function is a relation which maps each element in its domain to exactly one element in its range.…

Q: Solve for x in √x + x^√x =18

A: Given, x+xx=18 we have to solve it for the value of x.

Q: Excrcise 8. Evaluate -In 2 xe d.x 1

A:

Q: to す x²Y- X

A:

Q: Find l- elodw no X -1 X -> / /-

A:

Q: Find the term of (x + +)° that does not contain x.

A: Given expression is, x+1x6. The general term is given by, Cknakbn-k. In the given expression,…

Q: calculate M6 for f(x)=7(In(x^2)) over [1,2]

A: Given the function f(x) :

Q: Find the value of a such that 1 0. 3 2 2 a- 2

A: I have solved the determinant

Q: Verify that 1 1 1 1 x2 – 1 x – 1 x +1 and use this equation to evaluate

A: Given: ∫256x2-1dx

Q: Show Thst 合= <xx) xy 11

A: We have to show that  b^=(X'X)-1X'Y  Using the Linear model  as follows:

Q: Suppose that f(x) 16e" – exº. Find f'(3). f'(3) =

A:

Q: Expand in powers of x  f(x)={32/x^4)*e^(-2x^5)

A: Given, fx = 32x4e-2x5  We have to expand it in power of x.

Q: Find the coefficient of x in (1+x'+x°).

A:

Q: Verify that Jp+1(x) + 2/½(x) –- Jp-1(x) = 0

A: Verify that, Jp+1x+2Jp'x-Jp-1x=0 The Bessel's function Jpx is defined as follows, Jpx=∑n=0∞ -1n…

Q: Consider the following. 1 ifx = if x = 1 x²- 1 F(x) =

A:

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(1) = 0

A: We have, f'x=2x Integrating both of the side with respect to x, we get the result as…

Q: Evaluate: J (æ – 4) (x – 1)

A:

Q: 1 Find "(x) if Ax) -. %3D X+1. 1 (x+1) (x+ 1) -2 (x+ 1)3 12

A:

Q: Determine the z-value of x=25 if H 16 and O 3. %3D

A:

Q: find x in f(x) = 45 − 0.42x + 0.006x^2

A: The given equation is,

Q: Q: A- find for the functions: - In =) + In(3x2) = In(3) %3!

A:

Q: Evaluate the followingintegrals.∫x(x+10)9dx

A: Our Aim is to evaluate the integral given below:-∫x(x+10)9 dx -(i)