QUESTION 2 Given: f(x) = – 2x²+x-5 Find : f(-6)= Of(-6) = -83 f(-6) = 133 f(-6) = 25 None of the above
6. Find y = f(x), if f '(x) = 4x +3, f(1)=5, f(0= -6
A function f has the domain (-6, 12] with f(6) = 7 and has the features listed below. • f'(x) <0 on (-6.-3) and (6.12] • F"(x) <0 on (0,12] • f'(x) = 0 when r=-3,6 f"(r) = 0 when r = • f'(x) > 0 on (-3,6) . f"(x) > 0 on (-6,0) (a) Make the sign chart. Use the conventions discussed in the class. Use your sign chart from (a) to sketch a possible graph of f on...
a) If you have five capacitors with capacitances 0.6 × 10-6 F, 2.3 × 10-6 F, 3.7 × 10-6 F, and two 8.5 × 10-6 F in series. What is the equivalent capacitance of all five? C = F b) Initially the capacitors are uncharged. Now a 9 V battery is attached to the system. How much charge is on the positive plate of the 3.7 × 10-6 F capacitor? Q = C c)What is the potential difference between the plates of...
Let F(x) = f(f(x)) and G(x) = (F(x))2 You also know that f(6) = 10, f(10) = 3, f'(10) = 4, f'(6) = 10 Find F'(6) and G'(6) =
dg (1 point) Suppose g(x) = ln(ln(ln(f(x)))), f(6) = A, and f'(6) = B. Find the derivative dx g'(6) = x=6
6 that is continuous on the entire Note that F(x) = J-6 V44 +6 dt. So assume f(e) = V 24 + 6 real line. Use the Second Fundamental Theorem of Calculus, which states that, if f is continuous on an open interval I containing a, then for every x in the interval, d f(x). f(t) dt = dx Step 2 In this problem, F(x) = Live* +6 dt. Therefore, F'(x) = f(t) dt = f(x) = V Submit Skip...
For the fair 6-sided die, what is F(3)? F(7)? F(1.5)?
6. If f(x) = 5,*v2 dt, then f'(3) is:
Show that if f (x - 1) = -f 6 - x), S“ f (x - 2) dx = 0. Hint: You may find it useful to make the variable substitution, u = (x - ).