Homework Answers
Doubt or problrm in this then comment below.. i will explain you..
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please thumbs up for this solution..thanks..
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a) relative minima ..
y= h (x) have relative minima on x = -2
because after this point , h' value is positive and function increases..
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inflection point where h'' = 0 .. so , this possible on x = 2 ...
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Use the table below for twice- differentiable (i.e. it can have its derivative taken twice without...
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0,...
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0, and f" (6) = 0. Which statement must be true about the graph of f? (6,7) is a local minimum point (6,7) is a local maximum point (6,7) is a global maximum point There's not enough information to tell. (6,7) is a point of inflection (6,7) is a global minimum point Question 5 14.3 pts Let f be a twice differentiable function. y С...
1. The function f has derivative f' where f' is increasing and twice differentiable. Selected values...
1. The function f has derivative f' where f' is increasing and twice differentiable. Selected values of f' are given in the table above. It is known that f(0) = 3. (a) For f'(x), the conditions of the Mean Value Theorem are met on the closed interval (0,3). The conclusion of the Mean Value Theorem over the interval (0,3) for f'(x) is satisfied at c = 1. Find f"(c). (b) Use a right Riemann sum with the three subintervals indicated...
Suppose that f is a twice differentiable function and that its second partial derivatives are continuous....
Suppose that f is a twice differentiable function and that its second partial derivatives are continuous. Let h(t) = f(x(t), y(t)) where x = 2e and y = 2t. Suppose that f:(2,0) = 4, fy(2,0) = 3, fx=(2,0) = 2, fyy(2,0) = 3, and fxy(2,0) = 2. Find out that when t=0.
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
6. (a) Find the directional derivative of f(, y,z)at Po(1,10 in the direction of u-i-2j+k. 4 marks] (b) Letz201), where f is a differentiable function, show that 08z 4 marks] (c) Use Lagrange Multipl...
6. (a) Find the directional derivative of f(, y,z)at Po(1,10 in the direction of u-i-2j+k. 4 marks] (b) Letz201), where f is a differentiable function, show that 08z 4 marks] (c) Use Lagrange Multiplier to find the absolute maximum and minimum of 10 (x,y)-x +y subject to 2 12 marks
6. (a) Find the directional derivative of f(, y,z)at Po(1,10 in the direction of u-i-2j+k. 4 marks] (b) Letz201), where f is a differentiable function, show that 08z 4 marks]...
Math 151, Spring 2019 Workshop9 0, 1,23,4 Problem 1 derivative of fe)a e)e--3t-0 (a) The derivati...
Math 151, Spring 2019 Workshop9 0, 1,23,4 Problem 1 derivative of fe)a e)e--3t-0 (a) The derivative of f(x) is f,(z) = x5(z-1)(z-2)2(z-3)3 (z-6)6 clitical poins List all critical points of f. Determine the intervals where f is increasing and decreasing and identify each critical point as a local maximum, local minimum, or neither. (b) The second derivative of g(x) is g"(x) (z 1)2/(z -2)3/5(r-3)4/7. Determine the intervals where g is concave up and concave down and list all inflection points...
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of...
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of the function y=sin( 2.1) Problem 6. Find the derivative of the function (x) - sinh(x'). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. (a) lime (b) lim ( sinx Inx) I Problem 8. Sketch the graph of a functionſ that is continuous on [1, 5] and has absolute minimum at 2, absolute maximum at 3, local minimum at 4. Problem 9. Sketch...
Suppose that a continuous function f has a derivative f' whose graph is shown below over...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (1, 10). y=f'(x) 1 2 3 4 5 6 8 9 10 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) Find the interval(s) over which fis decreasing. (Enter your answer using interval notation.) (b) Find the x-value(s) where f has a local maximum. (Enter your answers as a comma-separated list.) x = Find the x-value(s)...
please explain how to do step 5 in matlab commands. med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >...
please explain how
to do step 5 in matlab commands.
med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >> plot (x,y), grid 9*x."2; + A plot over the interval I-3,3] reveals an apparent "flat section"' with no visible relati extrema. To produce a plot that reveals the true structure of the graph, we replot over the interval [-1,2]: >> x=linspace (-1,2); >> y= 4 * x. ^4-12*x.^3...
3 Ltuts.),)wher F.,and v are differentiable. Suppose also that (-2-)1 (-2-3)--101, u (-2-3)-4, x ...
3 Ltuts.),)wher F.,and v are differentiable. Suppose also that (-2-)1 (-2-3)--101, u (-2-3)-4, x (-2-3)--5 F (L-7)-3, F(-2-3)-3, F(I.-7)-2, and F.(-2-3)-0. Find W (-2-3 Circle your answer below o w(-2-3)-2 (e) W(-2-3)-12 ( W(-2-3)-14 (g) W(-2-3)-35 (h) W (-2,-3)-199 W(-2,-3)-202 M x2 + xy + y2 + 3y the local maximum and minimum values of the function f(x,y) 4. Find . Circle your answer below. (a) Relative minimum f(1.-2)--3, and no relative maximum. (b) No relative minimum, and relative maximum...
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0, and f" (6) = 0. Which statement must be true about the graph of f? (6,7) is a local minimum point (6,7) is a local maximum point (6,7) is a global maximum point There's not enough information to tell. (6,7) is a point of inflection (6,7) is a global minimum point Question 5 14.3 pts Let f be a twice differentiable function. y С...
1. The function f has derivative f' where f' is increasing and twice differentiable. Selected values of f' are given in the table above. It is known that f(0) = 3. (a) For f'(x), the conditions of the Mean Value Theorem are met on the closed interval (0,3). The conclusion of the Mean Value Theorem over the interval (0,3) for f'(x) is satisfied at c = 1. Find f"(c). (b) Use a right Riemann sum with the three subintervals indicated...
Suppose that f is a twice differentiable function and that its second partial derivatives are continuous. Let h(t) = f(x(t), y(t)) where x = 2e and y = 2t. Suppose that f:(2,0) = 4, fy(2,0) = 3, fx=(2,0) = 2, fyy(2,0) = 3, and fxy(2,0) = 2. Find out that when t=0.
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
6. (a) Find the directional derivative of f(, y,z)at Po(1,10 in the direction of u-i-2j+k. 4 marks] (b) Letz201), where f is a differentiable function, show that 08z 4 marks] (c) Use Lagrange Multiplier to find the absolute maximum and minimum of 10 (x,y)-x +y subject to 2 12 marks
6. (a) Find the directional derivative of f(, y,z)at Po(1,10 in the direction of u-i-2j+k. 4 marks] (b) Letz201), where f is a differentiable function, show that 08z 4 marks]...
Math 151, Spring 2019 Workshop9 0, 1,23,4 Problem 1 derivative of fe)a e)e--3t-0 (a) The derivative of f(x) is f,(z) = x5(z-1)(z-2)2(z-3)3 (z-6)6 clitical poins List all critical points of f. Determine the intervals where f is increasing and decreasing and identify each critical point as a local maximum, local minimum, or neither. (b) The second derivative of g(x) is g"(x) (z 1)2/(z -2)3/5(r-3)4/7. Determine the intervals where g is concave up and concave down and list all inflection points...
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of the function y=sin( 2.1) Problem 6. Find the derivative of the function (x) - sinh(x'). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. (a) lime (b) lim ( sinx Inx) I Problem 8. Sketch the graph of a functionſ that is continuous on [1, 5] and has absolute minimum at 2, absolute maximum at 3, local minimum at 4. Problem 9. Sketch...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (1, 10). y=f'(x) 1 2 3 4 5 6 8 9 10 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) Find the interval(s) over which fis decreasing. (Enter your answer using interval notation.) (b) Find the x-value(s) where f has a local maximum. (Enter your answers as a comma-separated list.) x = Find the x-value(s)...
please explain how
to do step 5 in matlab commands.
med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >> plot (x,y), grid 9*x."2; + A plot over the interval I-3,3] reveals an apparent "flat section"' with no visible relati extrema. To produce a plot that reveals the true structure of the graph, we replot over the interval [-1,2]: >> x=linspace (-1,2); >> y= 4 * x. ^4-12*x.^3...
3 Ltuts.),)wher F.,and v are differentiable. Suppose also that (-2-)1 (-2-3)--101, u (-2-3)-4, x (-2-3)--5 F (L-7)-3, F(-2-3)-3, F(I.-7)-2, and F.(-2-3)-0. Find W (-2-3 Circle your answer below o w(-2-3)-2 (e) W(-2-3)-12 ( W(-2-3)-14 (g) W(-2-3)-35 (h) W (-2,-3)-199 W(-2,-3)-202 M x2 + xy + y2 + 3y the local maximum and minimum values of the function f(x,y) 4. Find . Circle your answer below. (a) Relative minimum f(1.-2)--3, and no relative maximum. (b) No relative minimum, and relative maximum...
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