32. Find F'(a). F(t)=2t^3 T

32. find f'(a). f(t)=2t^3 t calculus: early transcendentals chapter 2: limits and derivatives section 2.7: derivatives and rates of 57. find a formula for a function f that satisfies the following conditions: lim(x→±∞)⁡f(x)=0, lim(x→0)⁡f(x)= ∞, f(2)=0, 34. find f'(a). f(x)=x^( 2) calculus: early transcendentals chapter 2: limits and derivatives section 2.7: derivatives and rates of 12. the function f is given as f(x)=2 3 x. when x=6, what is the value of f(x)? 2024 digital sat test 1 module 2 section 2: easier 16. determine whether the statement is true or false. if it is true, explain why. if it is false, explain why or give an example that 15. function f is defined by f(x)= 2x^2 8x 7. for what value of x does f(x) reach its maximum? 2024 digital sat test 3 module 2 5. f(x)=(x 12) 8 the equation given defines function f. if c is a constant, for which value of c does f(c)=20? (a) 1 (b) 20 (c) 148 (d) 45. (a) if f(x)=√(3 5x), use the definition of a derivative to find f'(x). (b) find the domains of f and f'. (c) graph f and f' on a common 52. the total fertility rate at time t, denoted by f(t), is an estimate of the average number of children born to each woman (assuming 10. f(x)=8c^x the given equation defines exponential function f, where c is a positive constant. if f(2)=1152, what is the value of f(3) 4. when three times a number n is added to 3, the result is the number p. which equation represents the relationship between n