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1) Sketch the function (x) based on the following criteria: 20-points f(x) Domain: -00,0(0,) Poin...
Math 1730 Test 3: Curve Sketching Name 1) Sketch the function () based on the following criteria:...
please answer ASAP thank you sketch the function
Math 1730 Test 3: Curve Sketching Name 1) Sketch the function () based on the following criteria: 20-points f(x) Domain: (-,0)(0,) limf(x)-0, lim/(x) = 0 Points: (-1,0), (-12,-0.33) (x)-12 , 3x2 (x + 4)s 4(x2 +24x+ 72) 9x(x +4) f" (x) = We were unable to transcribe this image
Math 1730 Test 3: Curve Sketching Name 1) Sketch the function () based on the following criteria: 20-points f(x) Domain: (-,0)(0,) limf(x)-0, lim/(x)...
Question 1 What is the domain of the function f(x) = 2ln(12x)? (0) (2) 12 (0,1)...
Question 1 What is the domain of the function f(x) = 2ln(12x)? (0) (2) 12 (0,1) (1.) (e. c) Question 2 Write the following expression as a logarithm of a single quantity 9inx - 5ln(x2 +11) In(9x - 5(x² +11) In (x2 +11) In(x"(x2+11)) In 2°- (x2+11)')
QUESTION 5 a) Find and sketch the domain of the function f(x,y) = \n(x2 - y...
QUESTION 5 a) Find and sketch the domain of the function f(x,y) = \n(x2 - y +1) + VÝ +1. (5 marks) b) Evaluate eży sin(3x +2y) lim (x,y) (-2,3) 3x +2y (6 marks)
2 + (a) Determine and sketch the domain of the function f(x, y) = (x2 +...
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.
Question 2 (20 points): Consider the functions f(x, y)-xe y sin y and g(x, y)-ys 1. Show f is differentiable in its domain 2. Compute the partial derivatives of g at (0,0) 3. Show that g is not d...
Question 2 (20 points): Consider the functions f(x, y)-xe y sin y and g(x, y)-ys 1. Show f is differentiable in its domain 2. Compute the partial derivatives of g at (0,0) 3. Show that g is not differentiable at (0,0) 4. You are told that there is a function F : R2 → R with partial derivatives F(x,y) = x2 +4y and Fy(x, y 3x - y. Should you believe it? Explain why. (Hint: use Clairaut's theorem)
Question 2...
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [...
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of a function f(x) which has the following characteristics: (2) 1, f(5) 5, lim f(), i f)1, m끊f(x)-1, and limo f(x) = 4.
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of...
1. State the domain of each function below (2.5 points each) Function f(x) = x2 f(x)...
1. State the domain of each function below (2.5 points each) Function f(x) = x2 f(x) = Domain f(x) = 1 f(ax)1 where b>0. State two facts that are true for ALL such functions regardless of the value of b. (10 points) 2. Consider the exponential function of the form f(x) Fact 1: Fact 2
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5) U (-5,00) lim S(x) = -, and lim f(x) = 0 lim f(x) = 3 S'(x) >0 on (-00,-5) U (-5,0) f'(x) <0 on (0,0) "(x) > 0 on (- , - 5) f"(x) <0 on (-5,00) f(x) > 3 on (-0,-5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0)
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)= (-0,-5) U (-5,0) lim f(x)=–00, and lim f(x)=0 lim f(x) = 3 5 x-00 /'(x) >0 on (-00,-5) U (-5,0) / '(x) < 0on (0,0) /"(x) > 0 on (- 0,-5) /"(x) <0 on (-5,0) f(x) > 3 on (-0, -5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0) 8
10. 10 points. - Find the domain and range f with the following ordered pairs {(-2,...
10. 10 points. - Find the domain and range f with the following ordered pairs {(-2, -3),(-4,0), (5,3), (6,2), (2, 2)}. Then find / -'() 11. 10 points. - Find the inverse function of f(x) = -3x + 6
please answer ASAP thank you sketch the function
Math 1730 Test 3: Curve Sketching Name 1) Sketch the function () based on the following criteria: 20-points f(x) Domain: (-,0)(0,) limf(x)-0, lim/(x) = 0 Points: (-1,0), (-12,-0.33) (x)-12 , 3x2 (x + 4)s 4(x2 +24x+ 72) 9x(x +4) f" (x) = We were unable to transcribe this image
Math 1730 Test 3: Curve Sketching Name 1) Sketch the function () based on the following criteria: 20-points f(x) Domain: (-,0)(0,) limf(x)-0, lim/(x)...
Question 1 What is the domain of the function f(x) = 2ln(12x)? (0) (2) 12 (0,1) (1.) (e. c) Question 2 Write the following expression as a logarithm of a single quantity 9inx - 5ln(x2 +11) In(9x - 5(x² +11) In (x2 +11) In(x"(x2+11)) In 2°- (x2+11)')
QUESTION 5 a) Find and sketch the domain of the function f(x,y) = \n(x2 - y +1) + VÝ +1. (5 marks) b) Evaluate eży sin(3x +2y) lim (x,y) (-2,3) 3x +2y (6 marks)
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.
Question 2 (20 points): Consider the functions f(x, y)-xe y sin y and g(x, y)-ys 1. Show f is differentiable in its domain 2. Compute the partial derivatives of g at (0,0) 3. Show that g is not differentiable at (0,0) 4. You are told that there is a function F : R2 → R with partial derivatives F(x,y) = x2 +4y and Fy(x, y 3x - y. Should you believe it? Explain why. (Hint: use Clairaut's theorem)
Question 2...
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of a function f(x) which has the following characteristics: (2) 1, f(5) 5, lim f(), i f)1, m끊f(x)-1, and limo f(x) = 4.
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of...
1. State the domain of each function below (2.5 points each) Function f(x) = x2 f(x) = Domain f(x) = 1 f(ax)1 where b>0. State two facts that are true for ALL such functions regardless of the value of b. (10 points) 2. Consider the exponential function of the form f(x) Fact 1: Fact 2
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5) U (-5,00) lim S(x) = -, and lim f(x) = 0 lim f(x) = 3 S'(x) >0 on (-00,-5) U (-5,0) f'(x) <0 on (0,0) "(x) > 0 on (- , - 5) f"(x) <0 on (-5,00) f(x) > 3 on (-0,-5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0)
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)= (-0,-5) U (-5,0) lim f(x)=–00, and lim f(x)=0 lim f(x) = 3 5 x-00 /'(x) >0 on (-00,-5) U (-5,0) / '(x) < 0on (0,0) /"(x) > 0 on (- 0,-5) /"(x) <0 on (-5,0) f(x) > 3 on (-0, -5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0) 8
10. 10 points. - Find the domain and range f with the following ordered pairs {(-2, -3),(-4,0), (5,3), (6,2), (2, 2)}. Then find / -'() 11. 10 points. - Find the inverse function of f(x) = -3x + 6
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