To which intervals could we restrict the domain of f to make it an invertible function? Choose all answers that apply: D None of the above 6 f(x) of 12 。。 D) None of the above y = f(2) 1 2 3 4...
for the function f(x) = 3x-x^3, find: 1) Domain 2) Intercepts (if possible) 3) Intervals of increasing/decreasing and Relative max/min 4) Intervals of concavity and point of inflection 5) End behavior 6) Any vertical and horizontal asymptote 7) Use all the above to make a detailed graph of the function on a grid please write everything clearly and i'l rate you depending on the work, thanks.
Need some explanation on these please and thank you so much! Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find (l) (5). b) -3 d) 3 e) 9-7 4 g none of the above The graph of f"(a) (the second derivative of f) is shown below. Where is fCx) concave up? -4-3-223 4 6 a) (-0o,-6) u (5,7) -3, 6) D(-6,5) U (7,00) g)none of these. Suppose f(x) is an invertible differentiable...
Function f is graphed. y 9 8 7 6+ y = f(x) CT 4+ 3+ 2+ 1+ H4+ 29-8-7 -6 -5 -4 3-2 1 2 3 4 5 6 7 8 9 -2 -3 4 -50 1 A 2+ M من 4 -58 -6 -8 -9 What appears to be the value of lim f(x)? 20+ 07 0-5 Unbounded Function g is graphed. → see y= g(2) 9 8 7+ 6+ 5+ 4+ es 2+ 1+ A+++ -9 -8 -7...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
a. e. b. f. 7. Given the function f(x) = 4(2)* - 3 , the equation of the horizontal asymptote is a. X=-3 e. y=-3 b. X=4 f. y = -2 c. X= 3 g y = 2 d. y = 0 h. none of these 8. If we apply the mapping (x,y) → (x-3,- 2y + 1) to f(x) = (3)* , the equation of the image is y = 2(3) *-3 + 1 y=-(3)*+2 + 1 =-2(3)*+3+1 y=-2(3)*+3...
2 + (a) Determine and sketch the domain of the function f(x, y) = (x2 + y2 – 4) 9 – (x2 + y2). [7] x6 – yo (b) Evaluate lim (x,y)+(1,1) - Y [5] (c) What does it mean to say that a function f(x, y) has a relative minimum at (a,b)? [4] (d) Find all second order partial derivatives of the function f(x,y) = 22y.
help! Question 12 The function f(x)=x2-7 is one-to-one on the domain xs-7. Find $-+6). O None of the above 05-1(x) = VX2-7 of-'(x)= x2 +7 of-'(x)= - Vx2+7 of-'(x)=x2 +7 Of="«)= -VX2-7 Question 13 1 pts A diet requires at least 29 units of vitamin C and at least 30 units of vitamin B complex. Two food supplements are available that provide these nutrients, in the amounts and costs shown in the table below. How much of each should be...
The phase plot for an ODE dy dx =f(y) dydx=f(y) is shown below. 4 3 2 1 2 1 1 1 1 2 3 (a) Which of these could be a plot of solutions y vs x corresponding to this ODE? 9 2 B. A. 2 2 3 C. D. You can click the graphs above to enlarge them. OA. A ов, в OC. C OD. D E which is choose (b) The smallest equilibrium of this ODE is y-...
Question For this problem, consider the function y=f(x)= |x| + x 3 on the domain of all real numbers. (a) The value of limx→ ∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (b) The value of limx→ −∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (c) There are two x-intercepts; list these in increasing order: s= , t= . (d) The intercepts in part (c) divide...
2 6 3 -2 5 -1 8 3 13 9 f(x) The function f is continuous on the closed interval [2, 13) and has values as shown in the table above. Using the intervals [2, 3]. [3, 5]. [5, 8), and [8, 13), what is the approximation of " f(x) dx obtained from a left Riemann sum? (A) 6 (B) 14 (C) 28 (D) 32 (E) 50