problem 6 (1 point) Finding Equations of Exponential Functions For each of the following, find the...
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
Find the exponential function f(x) = 6* that passes through the point ( – 2, 4) and has a y-intercept of 1. Oy= - (2) Oy = (2) Oy Oy= TIP Select the best answer
Find the exponential function y = cekt that passes through the two given points. y + 3 2 f(0,1/2) 14,1) 4 6 8 10 12 ya
5.1 Exponential Functions || Find the equation of an exponential function in a word problem convext Question A population of bacteria is initially 2,000. After three hours the population is 1,000. Assuming this rate of decay continues, find the exponential function that represents the size of the bacteria population after thours. Write your answer in the form f(t) = a(b) Report numbers as fractions when necessary Provide your answer below: f(t)- FEEDBACK MORE INSTRUCTION SUBMIT Convent attribution
7. (-/1 Points) DETAILS LARCALC11 11.R.037. Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (7, 0,5), (10, 11, 9) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. *57 - 11 3+5 0 - 7x + 3 = 11y = -5z +...
Problem #6: Find the Laplace transform of the following functions 4 0<t 3 9 tz3 (a) f(t) (b) f(t) 9>10 7 0 t2 6 0 t</9 cos[10(/9) tz n/9 f(f = symbolic Enter your answer as a function of s, as in these examples Problem #6(a): symbolic Enter your answer as a function of s, as in these examples Problem #6(b): Enter your answer as a symbolic function of s, as in these examples Problem #6(c): Problem #6: Find the...
Problem 5. Find the local marimum and minimum values and saddle point(s) of the functions: i) f(x,y) = x2 + xy + y2 + y. a) f(x, y) = (x - y)(1 - x). ui) (Optional) f(0,y) = xy +e-zy. Note that the critical points are (2,0) and (0,y) and that f(x,0) = f(0, y) = 1. However, from Math 110, we can show that the function gw) = w+e-w has an absolute mim at w = 0i.e., g(w) >...
Problem 2: For each of the following functions find f'(x) Problem 2 (20 points): For each of the following functions, find f'(x) and simplify if possible. (Show necessary details.) (a) s tant dt (b) Socos * V1 – tdt (0) Bent Int dt
(1 point) Find a possible formula for an exponential function g(x): 2 3 4 5 g(x)11.56 19.652 33.4084 56.7943| f(x) (1 point) Find a possible formula for an exponential function g(x): 2 3 4 5 g(x)11.56 19.652 33.4084 56.7943| f(x)
5. Find a formula for an exponential function whose graph passes through the points (1,3) and (5,40). 6. Consider the function h(x) = 5/12 - 3x (a) For what values of x is the quadratic function f(x) = 12 - 3x2 zero or positive? (b) What can part (a) tell you about h(x)?