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Question 26 (1 point) Find the focus of the parabola y2 – 4y – 2x –...
1. Find the vertex, the focus and the directrix of the parabola y2 + 4y -...
1. Find the vertex, the focus and the directrix of the parabola y2 + 4y - 8r. Make a sketch of the parabola, the directrix and the focus.
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2...
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2 9 y Oy2-36x x2 36 y Oy2 = -9x 5. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. (2 points) 1 x2 28 1 X = y2 28 -28y x2 Oy2 14x =
9. (2 points) 4. Find the...
Question Below are the graphs of f(x)= x²-3x²+1 and x² + y² = 2x²y2 a) Find...
Question Below are the graphs of f(x)= x²-3x²+1 and x² + y² = 2x²y2 a) Find the equation of the tangent line to the function (on left) at point (-1, f(-1)). 6) Calculate the slope of the tangent line to the function (on right) at point (1,1). 1- . 0,5 1 1.5 1 ST -1,8-1,694 -12 -1 -6.8-06-11-02 BIG 1 112 1,6 10
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of...
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =
U Question 22 1 pts Find the absolute minimum of f(x, y) = x2 + 4y?...
U Question 22 1 pts Find the absolute minimum of f(x, y) = x2 + 4y? - 2x²y + 4 on the square given by -1 << < 1 and -1<y<1. 11 4 8 None of the above or below O-2 07
Question 6: (1 point) Find the shortest distance from the point (1,4) to a point on...
Question 6: (1 point) Find the shortest distance from the point (1,4) to a point on the parabola y2 = 2 x O 2 1 73 O √5 Question 2: (1 point) A farmer has 20 feet of fencing, and he wishes to make from it a rectangular pen for his po Wilbur using a barn as one of the sides in square foot, what is the mamum area possible for this pen? O 25 50 40 50
QUESTION 2 - 1 POINT Find the intersection points of the parabola y = -0? -...
QUESTION 2 - 1 POINT Find the intersection points of the parabola y = -0? - 2 and the line-x+y= 4. Give your answer as two ordered pairs separated by a comma. For example, if you found that the solutions were (1,2) and (3, 4) you would enter (1,2), (3,4).
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write...
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s)....
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
1. Find the vertex, the focus and the directrix of the parabola y2 + 4y - 8r. Make a sketch of the parabola, the directrix and the focus.
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2 9 y Oy2-36x x2 36 y Oy2 = -9x 5. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. (2 points) 1 x2 28 1 X = y2 28 -28y x2 Oy2 14x =
9. (2 points) 4. Find the...
Question Below are the graphs of f(x)= x²-3x²+1 and x² + y² = 2x²y2 a) Find the equation of the tangent line to the function (on left) at point (-1, f(-1)). 6) Calculate the slope of the tangent line to the function (on right) at point (1,1). 1- . 0,5 1 1.5 1 ST -1,8-1,694 -12 -1 -6.8-06-11-02 BIG 1 112 1,6 10
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =
U Question 22 1 pts Find the absolute minimum of f(x, y) = x2 + 4y? - 2x²y + 4 on the square given by -1 << < 1 and -1<y<1. 11 4 8 None of the above or below O-2 07
Question 6: (1 point) Find the shortest distance from the point (1,4) to a point on the parabola y2 = 2 x O 2 1 73 O √5 Question 2: (1 point) A farmer has 20 feet of fencing, and he wishes to make from it a rectangular pen for his po Wilbur using a barn as one of the sides in square foot, what is the mamum area possible for this pen? O 25 50 40 50
QUESTION 2 - 1 POINT Find the intersection points of the parabola y = -0? - 2 and the line-x+y= 4. Give your answer as two ordered pairs separated by a comma. For example, if you found that the solutions were (1,2) and (3, 4) you would enter (1,2), (3,4).
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
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