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![Evaluate the limit.
2a5–16a?
lim→2 2a²+a°
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4a09a4d-d9b5-48a5-8103-0e576609768e%2F5706fc97-7bbf-41ae-b409-ae9dfca92a42%2F75wqia_processed.jpeg&w=3840&q=75)
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- Vx+h-Vh 6. lim HW mplesUse one of the formulas in the equation A xdy f-ydx fxdy-ydx to calculate the area of the triangle with %3D vertices (0,0), (15,0), (15, 15). (Use symbolic notation and fractions where needed.) A == 17. A triangle is to be inscribed in the ellipse x² + y² with one vertex of the triangle at (-2, 0) and the opposite side perpendicular to the x axis. Find the largest possible area of the triangle.
- (X1.Y1) (x2.Y1) Use the diagram to determine the length of LK. O (X2 - X1)? + (Y2 - yı)? o V(z2 - 11)2 + (y2 - yl)2 O x? + y? O vr2 + y2Consider the following drawing. Let a(x) = x² – x + 2, b(x) = 6x + 6, c(x) = x2 – 10x + 5, and d(x) 5х + 1. | Laundry |Closet Lin. ||Bath Closet Kitchen Living Area Bedroom Dining Area a(x) ft - b(x) ft Length (a) What is the difference in the length and width of the one-bedroom apartment shown above? (Simplify your answer completely.) ft (b) Find the perimeter of the apartment. (Simplify your answer completely.) ft c(x) ft - y (x)p -|- Widthb 11. Find the vertex of f(x) = x² – 8x + 16. Use x = 2а A. (4,0) (- 4,0) С. (0,4) D. (0, -4) B.