h(x) = x – sin x for 0

Q: Let COS X if x 0 %3D | (a) sketch the graph of f (x) (b) Is f (x) continous at x = 0? Give reason/s…

A: f(x)=cos x         if x<00                 if x=01-x2         if x>0

Q: True or false: For any constant C, d [tan(x) + C] = [sec(z)]²

A:

Q: Differentiate g(x) = (In(x² + 1) – tan-ª(6x))10

A:

Q: Let f(2) = - 8 cos x + 9 tan e f (2) = (-) = C 4

A:

Q: of f(x)=tan π/3( x−2)+3 in interval notation.

A:

Q: F(b) = 6-6² 1+6² 2 b = tan x

A: Given problem:- Fb=b-b21+b2 Find F(b) at b=tanx

Q: 1 lim (1 + sin²x)x

A: We have to solve the given limit: limx→01+sin2 x1x This is 1∞ indeterminate form of limit we know…

Q: lim x→0 7x sin 4x

A:

Q: Eketch a graph of the function f(x) = 5 sin ( 7x ) 3 6+ 5- 4- 3 -8 -7T -6T -5T -4T -3A -2T ST -2 -3…

A: Given, fx = 5sin13x  We have to sketch the graph of the function

Q: 2x x-0 sin 1x f. lim

A:

Q: What is the domain for f(x)=square root 1-sin x? And explain why x cannot be equal pi/2 and 5 pi/2?

A: We draw graph of function f(x)=square root 1-sin x

Q: Find x + sin lim r00 x + cos x

A:

Q: 4x+sin x lim x→02x - sin 3x

A: We have to solve given problem:

Q: (sin x)(1+ sin²2) 0 Let h(x) = how that h is continuous. if x #0 if x = 0

A: The given function is

Q: If lim x→0 f(x) + x + 1 x sin (3x) = -5, then lim x→0 f(x) + x + 1 x² is equal to

A:

Q: [(2tan(x)/1+sec(x))+(2+2sec(x)/tan(x))]=4csc(x)

A: Consider the left hand side,

Q: lim = e7x- e6x/ex-1 x>0

A:

Q: Example 2: Plot the function f(x)=cos3x below 0< <2

A:

Q: The Function f(x) = sin( 2")- sin( 2 *) is %3D Select one: O An even Function O An odd Function O…

A:

Q: (d) lim 1 - cos(x²) x0 x² sin² x

A: Plug in the value of x = 0

Q: Let f(x) the function defined below, where -1 < x < 1. TX f(x) = 2 + x2 + tan 2 (a) Find f-1(2). (b)…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: