15. Which of the following is a point at which the tangent to y = (x − 2)²(x + 3) is horizontal? Show your work. 2T a. (-2, 16) b. (-1, 18) c. (1,4) d. (2,0)

Q: 12. 4 2 O -2 -4 y 2 4 6 XA

A: The graph of the function is given.The aim is to find the function for the given graph.

Q: 5. 8. 45°

A: Solve for value x

Q: dx 0 4-x

A: To evaluate the integration.

Q: 4. 1+x+x* dx 1+x2 34.

A:

Q: 12. Stan³0 sec²0d0

A: Integration is done by "u" substitution method

Q: 9. x - 6 ( if x = 6) 10. 7 + x ( if x = 6) 11. 3x - 9 ( if x = 6) 12. 63/x ( if x = 6) 13. 5 + 5x +…

A: 9. x-6  when x=6  So, put x=6 in x-6.  x-6= 6-6=0    10. 7 + x ( if x = 6)  Put x=6 in 7+x we get,…

Q: 5-x-3 > 3 4.

A:

Q: Find .6 7 LT." 3 4 xy dydx.

A: Given that the integral ∫36∫47xy dydx. Find the value of given integral.

Q: 3 125 3) = 5x 6. - 3 4,

A:

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: 2y = 0, Xo = 0

A:

Q: 6. X-4 >2 X+3

A:

Q: k2. 7k + 10 k2. 3k k2 + Sk + 15 k2 - 4k - 12

A: Given; 1. [(K2+7k+10).(k2+3k)]/[(k2+8k+15)(k2-4k-12)] 2. 7/(x-2) - 5/(2-x).

Q: -4 X+

A:

Q: L-1 (s+2)²+3 2.

A:

Q: 4 2- -4 -2 -2 4

A:

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y>-x2-22x-y ≥-3

Q: 4 y = -x-8 8. (14,-16)

A: Given equation is y = (4/7)x - 8

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: 4. Find tricingeo. FincX 3.2 2.7

A:

Q: 7. 45

A:

Q: 11x + 1 W

A:

Q: 5) 3x +5 30

A: Topic = Inequalities

Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: given x=y2 complete the table as follows

Q: . 4x2 – 16 0 (-0, 2], [2, 0) -

A:

Q: 5. E1009 i-2n – 2 E7000 i¬n

A: ∑n=11009i-2n=∑n=11009-1-n          =∑n=11008-1-n+-1-1009          =-1+1-1+1...+1+-1-1009…

Q: 10.1-2 q 6

A: Image is attached with detailed solution.

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: 4(2w - 5) = 5w + 4 %3D

A: Here we have,  4(2w-5)=5w+4 ................................ (1)

Q: 7.) -3- %3D 10 2'

A: .

Q: 2- -4 -2 2 4 6. 8 10 12 -2- -4

A:

Q: 1 (-7)2 dx r(x-7)2 6.

A: Given,  ∫1xx-72dx