Please answer both and explain the steps!
1. On what interval is the function F(x)=(1//2x^2)-ln(3x), x>0, Increasing?
2. A baseball diamond is a square with a side of 90ft. Tucker hits the ball and runs towards first base at 16ft/sec. How fast is the distance between second base and tucker changing when he is 30ft from the first base?
A.8.875 ft/sec
B. 5.060 ft/sec
C.-5.060 ft/sec
D. -8.875 ft/sec
Remember- the function is increasing if it's first derivative is positive.
Please answer both and explain the steps! 1. On what interval is the function F(x)=(1//2x^2)-ln(3...
A Baseball Diamond is a square 90ft on a side. A player runs from first base to second base at a rate of 16 ft/sec.-At what rate is the player's distance from third base changing when the player is 30ft from first base?
please complete questions e. f. g. A baseball diamond is a square with side lengths of 90 ft. A batter hits the ball and runs toward first base at a rate of 26 ft/s. At what rate is the distance between the batter and second base decreasing when the batter is half way to first base? Let z be the distance between the batter and first base, y be the distance between first base and second base, and z be...
A baseball diamond is a square with side lengths of 90 ft. A batter hits the ball and runs toward first base at a rate of 26 ft/s. At what rate is the distance between the batter and second base decreasing when the batter is half way to first base? Let x be the distance between the batter and first base, y be the distance between first base and second base, and z be the distance from second base to the batter. All distances are measured in...
A baseball diamond is a square with side lengths of 90 ft. A batter hits the ball and runs toward first base at a rate of 26 ft/s. At what rate is the distance between the batter and second base decreasing when the batter is half way to first base? Let u be the distance between the batter and first base, y be the distance between first base and second base, and z be the distance from second base to...
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
Matlab: please answer all 3 parts and show steps using Matlab inputs ONLY thank you Problem 3. Consider the function f(x) ei cos(2x). (1) Sketch its graph over the interval [0, r] by the following commands: (2) Using h-001 to compute the difference quotient for x = π/6 in [0, π]. The commands are: And the difference quotient is: (3) Using h = 0.01 to approximate the second derivative by computing the difífquo for x = π/6 in [0, π]....