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- Differentiate. y = √x / √x+7Find a point on the curve x + y = 25xy other than the origin at which the tangent line is horizontal. %3D (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (* , *).) The point's coordinates are-2ln(cosx) 03. lim, 0 .2
- Find the value lf x that makes DEF XYZFind the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y=2-x if 8 = 16x + 2y + 8. The plate's center of mass is located at (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.)Q2a needed with sketch please
- Let the distance in feet that a car travels in t seconds be given by d(t) = 8t for 0 sts6. a. Find d(t+ h). b. Find the difference quotient of d and simplify. c. Evaluate the difference quotient when t= 2 and h = 0.05. Interpret your result. a. d(t+h) =(Simplify your answer.) b. The difference quotient of d(t) = 8t is (Simplify your answer.) c. Evaluate the difference quotient whent32 and h = 0.05. Interpret your result. Choose the correct answer from below. A. 32.4, the average speed of the car from 2 to 2.5 sec is 32.4 ft/sec B. 36, the average speed of the car from 2 to 2.5 sec is 36 ft/sec C. 36, the average speed of the car from 2 to 2.05 sec is 36 ft/sec D. 32.4, the average speed of the car from 2 to 2.05 sec is 32.4 ft/sec .OOOFind the center of mass of a thin triangular plate bounded by the y-axis and the lines y=x and y=2-x if 8 = 4x +9y+ 2. The plate's center of mass is located at (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.)Evaluate in terms of the constant a. lim (4ah + 1a) h→ -2
- y = -3x + 8 and y = x - 1 T. 1. 10 -2 DELLFind the distance FG between the points F(2,7) and G(4,-1) round your answer to the nearest tenth if necessaryFind the equation of the line through P = (8, 7) such that the triangle bounded by this line and the axes in the first quadrant has the minimal area. (Use symbolic notation and fractions where needed. Use x as a variable.) y = 7 Incorrect