The x-values satisfying that 2x² + 5x – 12 > 0 is:

Q: Find if y dy et 2а?+3я — 2 -

A:

Q: d) f(x) (-5,8) = = x² - 1 3x - 40 Domain:

A:

Q: Which of the following is equivalent to (1-x)(1+x) - 3x (2-x)? A. 3x² - 6x +1 B. -3²-7x + 1 C.-4x² -…

A: Recall: (a+b)(a-b)=a2-b2

Q: FIND THE DOMAIN OF 1. ffx)= X²+5x+6 X² 5x+6

A:

Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: (2x+3)(x-1)

A:

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: 2a +4aX+2b-ax=bx-C=D2x-8X-4 a:? vb=?, C:?

A:

Q: a) 2x + 5 > 4x – 3

A:

Q: Note the word curve is used to indicate a graph and can be for example a straight line, parabola…

A: We have to find the area enclosed by the curves.

Q: (x2y2)2

A:

Q: Find numbers a, b and c (if possible) so that 2x 3 −9x 2 +8x −2 = (2x −1)(ax2 +bx +c).

A: Obtain the value of a, b and c as follows.

Q: x3 - 3x²y = c =

A: Given: x3-3x2y=c We need to eliminate the arbitrary constant c.

Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

A:

Q: Prove that if 8x-5=-2x-15 then -x=1

A:

Q: 2. Simplify √√x² +9-5 x+4

A: Topic - Simplification

Q: Show that (x? + y²)² = (x² – y²)² + (2xy)? for all real numbers x and y.

A: We have to prove algebraically that x2+y22=x2-y22+2xy2 Simplifying both the sides , we get Here ,…

Q: Showthat fo= x| is Continuous evalyuhore- 1x1+1

A:

Q: 6(x+4)=42

A: The given equation is 6x+4=42. Solve the equation 6x+4=42 for x as shown below.

Q: hy W can't be zero?

A: We have To prove w can not be zero on S.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.