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Hi I need help on what is the answer to this problems? Below is the question and other concerns will be in the comment section

Hi I need help on what is the answer to this problems? Below is the question and other concerns will be in the comment section. I hope you can help me and surely I will give you full positive feedback

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1. Find the area of the triangle whose vertices are the points (1, 1), (4, 5) and (6, 3). CLON a. 2 G. 5 b. 4 d. 7 2. Find the area of the region bounded by the curves y = s' - 2x' and yes - 2r. C. d. 13. Find the exact are length of the curve over the stated interval y = al from a = I to 80V10 - 13V18 50V - 13v10 C. 27 b. 80y 10 + 13v/13 d 50 13 + 13v10 27 For numbers 4-7: Let A be the region bounded by yos'- 1, s = 2 andy= 0. 4. Find the area of R. square units C. square units square units square units 5. Find the volume of the solid generated when R is revolved about a-axis using the Washer Method. euble units cubic units b. cubic units cubic units 6. Find the volume of the solid generated when R is revolved about s = 2 using the Disk Method. cable units cubic units b. cubic units cubic units7. Set up the definite integrals required to find the perimeter of R. Vi+rid+4 c. Vi+ Aride +4 b . 1 + Bride + 4 Vitra+4 For numbers 8 - 15: Let M be the region bounded by the parabola y = s' and the line y = s + 2. 8. Set up the integral to find the area of A, using vertical rectangular strips. 212 -(+2)] de c. , [(z +2) -27 ] dx b. [ (x3 - (x + 2)] de d. [ [(s +2) - 27] ds 9. Set up the integral to find the area of M, using horizontal rectangular strips. b. 2vidy + [ 1VG -(v-20] dy c. 2vide+ [ [(w -2) - Vidy d . [ [( - 2) - voldy + [ 2vidy 10. Find the area of M. q. units b. Isq. units c. 4 sq. units sq. units11. Which of the following represents the integral to find the volume of the solid generated by revolving A about the r-axis by using washer method? a. e. 2x [(x + 2)3 - (x3)3] dx d. * [, [(z + 2)3 - (23) ] dr 12. What is the volume obtained in number 11? 63m IL. cul. units 5 C. Cul. units 3 72m cu. units d. cui. units 13. Which of the following represents the integral to find the volume of the solid generated by revolving A about the line r = -2 by using washer method? b. x ydy+ * / (-y] + 5y -4)dy C. x 8 /Vdy +* (y+ 4v/5 + 4 - y] )dy d. * Aydy + * / (y' - 5y + 4)dy 14. Which of the following represents the integral to find the volume of the solid generated by revolving A about the line r = -2 by using cylindrical shell? a. 2x / (2 - x) [(x + 2) - x] dx c. 2x (2 + x) [(x +2) - x] dr b. 2x / (x - 2) [(x + 2) - x3] dr d. 2x x [ ( x + 2) - x]] dx 15. What is the volume obtained in number 13? 45x 45x CIL units 2 Cli. units C. CIL. units d. cu. units

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