Unbelievable shapes can be created by using the implicit plotting capabilities of a computer algebra systems. Use a graphing calculator or graphing system to graph the curve: y(v -1)(v–2)=x(x-1)(x-2). Include an image or sketch of the resulting graph. 1. At how may points does this curve have horizontal tangent lines? Estimate the x-coordinates of these points. 2. Find the equations of the tangent lines at the points (0,1) and (0,2) 3. Find the exact x-coordinates of the point where the curve has horizontal tangent lines. 4. Create even more fanciful and unbelievable curves by modifying the equation. Include the modified equation and a sketch or image of the graph.

Q: Modified True or False: Write True if the solution of the problem is correct. Otherwise, rewrite the…

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Q: Note: if the math equations and the text below are overlapping, click twice on the piece of math…

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Q: from straight shoreline. There is a floating and 4 Km Jack is land from shoreline from on an 3Km…

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Q: Perform the following operations: а. (-1 + i)8 1+i b. 3-1

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Q: An Olympic size pool has a length of 50 meters (m) to accommodate long-course races. Its width is 25…

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Q: 4. Three chickens were weighed in pairs. The first pair weighed 10.6 kg, the second pair weighed 8.5…

A: Given:Three chickens were weighed in pairs. The first pair weighed 10.6 kg, the second pair weighed…

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A: The given statement How many possible solutions are there in an xy equation?

Q: 9. A grocery store sells star fruit for $4.25 per pound and Asian pears for $2.25 per pound. Write…

A: 9] Given: Let F: sell star fruits for $4.25 per pound.      P: sell Asian peers for $2.25 per pound.…

Q: Solve the problem. 4) A consultant traveled 340 miles to attend a meeting, traveling 50 mph hours…

A: Total distance=340 miles speed at first part=50mph speed at second part=60 mph time taken=6hours

Q: 7. Solve the equation for x. 2x-5--3 a. x= 1 C. X- 4 b. x 2 d. No Solution

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Q: For AY 1 1. Find b. 4 b 2 1370

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Q: 2 7. Solve for c: c = 4 -11 8. Solve for z: z - 0.3 = 0.7 %3D

A: Simplification

Q: |r + y = -3 *- y = 11

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Q: Solve the following equation: x - x -2 = 0 O a.x = 1, x = 2 O b. x = 1, x = -2 O Cx = -1, x = -2 O…

A: x² - x - 2 = 0 So, x² - 2x + x - 2 = 0 So, x(x - 2) + (x - 2) = 0 So, (x + 1)(x - 2) = 0

Q: 6. Solve for k: k – (-3) = 20

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Q: explain to him how he could do this correctly what should the dimensions of the new poster be.

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Q: 2. Answer ALL parts of this question. Differentiate the following (a) Q = 3L-4 2 (b) Q = -6L3 (c) Q…

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Q: B: if Z-4x²-8xy +7y5-3 then find Z, Zy, Zxx, Zyy

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Q: Jill, Kim, and Erin start at the same time, walking around a circular track, walking in the same…

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Q: Two lighthouses (A and B) are 25 miles apart on a shoreline that runs West to east (Lighthouse A is…

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Q: 6. Solve for x. 135 L. (15x- 23)" 91 M

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Q: 12) Solve by Elimination a. 5x - 7y =-17 x+7y= 5

A: Since you have posted more than one question  we have solved the first question for you.  For…

Q: 5 Your assistant made a few mistakes while trying to solve some clues. Spot them. (Use v or X) Step…

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Q: 7. What is the equation for the horizontal asymptote of the graph of the function shown? a. x= 2 b.…

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Q: A car and a train leave station A at the same time for station B, 120 miles away. If the speed of…

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Q: 4.8a + 6.5v – 12.65 = -13.9 %3D 5.2a – 3.6v + 4.7S = 6.8 -3.3a + 6.4v – 8.7S = 13.5 %3D Find the…

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Q: -lving ³4xdx gives 4x b. 4x² c. 2x 1²³ C. 31 d. 2x² 1³

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.