Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s
b) 527/24 Ft²/s
c) 2/25 rad/sec
Step-by-step explanation:
a) b=7 ; a^2+b^2 = 25^2
a^2+b^2 = 625
Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0
As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.
b) Area of the triangle = 1/2 * b*h
differentiate wrt to time leads to the following relation:
c) sin (Θ) = b/25
differentiate it again to give
Answer: The equation of motion is
s(t) = (1/2)a·t² +v₀·t +s₀
Step-by-step explanation: Hope this helped!
Answer:
765 miles total
Step-by-step explanation:
The speed is (340 miles) / (4 hours).
Mustiplying this rate by 9 hours will tell us how far they have traveled:
340
---------- * (9 hours) = 765 miles total
4
Find the eqn. of the tangent line to the curve of f(x) = x^2 + 5x -5 at (0,-5).
Differentiate f(x) to obtain an expression for the derivative (slope of the tangent line):
f '(x) = 2x + 5
Subst. 0 for x here: f '(0) = 2(0) + 5 = 5 (at the point (0, -5))
Use the point-slope equation of a str. line to find the eqn of the tan. line:
y-k = m(x-h), where (h,k) is a point on the line and m is the slope:
y - [-5] = 5(x-0), or y+5 = 5x. Then y = 5x - 5 is the eqn. of the TL to the given curve at (0,-5).
Answer:
uh cheese
Step-by-step explanation:
