(a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC = area ADEC + area CEFB - area ADFB C, ya) B(x, y2) Use this and the fact that the area of a trapezoid equals 1 -the altitude times the sum of the parallel sides to show that X1 yı 1 D E F area ABC = X2 y2 1 2 |x3 y3 1 Note In the derivation of this formula, the vertices are labeled such that the triangle is traced counterclockwise proceeding from (x1, Ya) to (x2, y2) to (x3.Y3) . For a clockwise orientation, the determinant above yields the negative of the area. (You should not solve (a) (b) Use the result in (a) to find the area of the triangle with vertices (-5,-2),(4,0), (3,3). Area = i

Q: Dis cuss ond gra ph fcx) = =3x+2 2X-4

A:

Q: Each equation below was translated twice from the parent function f(r) = VT. Using the table below,…

A:

Q: MZTRI = 3x - 5, MZIRB = x + 27, and mZTRB Does Ri bisect ZTRB? 86.

A:

Q: A closed box with a square base is to have a volume of 16, 000 cm?. The material for the top and…

A: a) Given that, the volume of the box is 16000. Let x be the length of square base box and h be the…

Q: If y varies inversely as x2, and y = 3 when x = 10. The equation of variation is? a) Y=3/x2  b) Y=…

A:

Q: nl(-2x)- 3ln (1422) x + 0 ×ニO (-001)->R if the function ) is value contrnuous what of a al o b) 1/4…

A:

Q: rewrite this equation to isolate the Y  3/Y = 6 X select all that are correct    A)Y=6X/3 B)Y=3/6X…

A:

Q: Qoi Find y if 4+4 Cot zo

A: Given  r = √( 4 + 4cot2θ) To find y

Q: for

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: e of the. B) 9 6 x 8 C) 2 3 x 15-x

A:

Q: flx)= X tah? (X) C 2. f"G) こ

A: We have to use the quotient rule , so we assume u and v and find u' and v'

Q: the Pasition at if when X=2, O= 25

A:

Q: 3. c ² +7z+10 dz, C: |F|=1

A:

Q: Use the figure 10. Fird MZAE I Find m ZAC 12. Fnd mZAo 3. Find m2 CA

A: Given :- m∠ABD=127°

Q: Solve for x

A:

Q: expression fory 2 cx+

A: Given           y=Ax3+Bx2+Cx+D then                    y'''=

Q: 2) y=x' – 9x² + 24x – 18; [2, 4] -

A: let y=f(x) f(x)= x3-9x2+24x-18, [2,4] using rational roots tests: x could be :±1,±2,±3,±6,±9,±18 If…

Q: D)

A:

Q: SUppOrE THAt y VEIES DIRECTLY WITH X ANO y =9' WHEN X = 18 X HUIM WRITE A DIRECT RAATES. VAQMOW…

A:

Q: 4x2 + 4x 7 If y = find: 6 5x dy %D da

A: Consider  y=4x2+4x-76-5x

Q: Se 2x2+ 2х +1 dx. х+1 Evaluate:

A: We will solve the integration.

Q: 2x + 1 3 – 4x Consider the function y = f(x) a) find Ax + h) simplify fully Ax + h) – Ax) h b) find

A:

Q: Find the x-value at which the given function has a point of inflection. v = =x- 5x²+24x +2 a) x= b)…

A: Point of inflection is a point on a curve at which the curvature changes sign. Second derivative of…

Q: Jar Caxtb ) = aiaro

A: