Express /4(x) in terms of Jo(x) and J;(x). [#Hint: use identity D]

Q: 6. Evaluate when; x = -1 x3-5x²+x² II

A:

Q: 51+* + 1 y = 5*

A: Given: y=51+x+15x     ⇒   y=51+x5x + 15x                =5+ 15x       y-5=15x           5x=1y-5   x…

Q: Find div(V), where V= (x²+y² + z²)¯²(-3x, -3y, –3z].

A:

Q: If f(x) = x2, what is the ordered pair for x = 7 ? %3D O (7,21) O (7,49) O (7,9) O (7,14)

A:

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

A:

Q: Assume that y represents a positive real number. What is the conjugate of Vy - 24?

A: y-24

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

A:

Q: Let f = {(-3,-4),(9,4),(4,5)}. Find f(4).

A:

Q: find all real such that 12x-11>x

A: The inequality can be calculated using absolute values. The absolute value function takes a positive…

Q: Express x XOR y with only AND, OR and NOT.

A: We can write-                    x OR y = NOT (  NOT x   AND   NOT y )

Q: lim x – Vx2 + 7x のーズ

A: To evaluate the given limit.

Q: S(*-2:) (12x² -8) đx. (b) Integrate the expression of

A:

Q: Evaluate xe dp- X6 (x +1)*

A:

Q: Perform the indicated operations: (1 -1/x)(1 - 1/(x +1)(1 - 1/(x+2)(1 - 1/(x+3) ?

A: Given expression, 1-1x1-1x+11-1x+21-1x+3

Q: vei The ldentit CX Tanxt SEEX-CSCX Tanx-

A: Prove the identity.

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: Simplify the expression using appropriate identities (2x-y)(2x+y)(4x^2+y^2)

A: Given expression, 2x-y2x+y4x2+y2

Q: DO NOT include spaces in between characters. * Compute g'(2) if g(x) =10**-2* 16 Your answer

A:

Q: {(-5, 7), (-6, -8), (1, -2), (10, 3) }

A:

Q: Integrate the following x2(x-4)ex(x-2)

A: find out the integral of x2(x-4)exx-2

Q: Evaluate f 8tVt² – 1 dt

A: We have to find

Q: 3+x g(x) = хе xe* gʻ(x) =

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: