Find an equation of the curve that passes through the point and has the given slope. (Enter your solution as an equation.)(0, 6), у' 318y

Concept - used the formula of integration of x^n

Answered: Find an equation of the curve that…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.4: Writing And Graphing Equations Of Lines

Problem 79E

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Suppose you are climbing a hill whose shape is given by the equation below, where x, y, and z are measured in meters, and you are standing at a point with coordinates (180, 120, 1194). The positive x-axis points east and the positive y-axis points north. 2 = 1500 -0.005.x² -0.01y² (a) If you walk due south, will you start to ascend or descend? ascend O descend At what rate? (b) If you walk northwest, will you start to ascend or descend? ascend descend At what rate? (Round the answer to two decimal places.) (c) In which direction is the slope largest? O(-1.8, -2.4)
Suppose you are climbing a hill whose shape is given by the equation z = 1300- 0.005x² - 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1266). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? Ⓒascend O descend At what rate? 1.6 X descend (b) If you walk northwest, will you start to ascend or descend? O ascend vertical meters per horizontal meter At what rate? (Round your answer to two decimal places.) .57 vertical meters per horizontal meter X (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 60.81
The cost(c) of transmitting electric power partly varies as the cube of the distance(d)and partly varies inversely as the temperature(t) in which the power is illuminated. When the distance is 5miles at temperature 15`c the cost is GHc1,010 and when distance is 10miles at temperature 25`c the cost is GHc8,006.Find an equation connecting c,d,t. Find the cost of transmission when distance is 40miles and temperature of 30`c
13x+ (류,-1) and (-3,) 4. Find the equation that contains 7'3 .
Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x² -0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1966). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend Odescend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction. the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 0
Find the equation of the line through the points (-1,-1) and (5,2) using point-slope form. Then rewrite the equation in slope-intercept form. y = 5-(-1)
Find the slope intercept equation for (2,-2) and (5,1)
Find the equation of the line in the form y=mx+b between the points (1,2) and (5,-3). Leave all answers in exact (fraction) form.
The equation of the line that goes through (4,−4) and (6,11) can be written in the form y=mx+b, where m=?,b=? The equation of the line that goes through the point (6,2) and has slope −10−2 can be written in the form y=mx+b, where: m=?, b=? The equation of the line that goes through the point (9,1) and is parallel to the line 3x+4y=3 can be written in the form y=mx+b, where: m=?,b=? The equation of the line that goes through the point (7,2) and is perpendicular to the line 4x+4y=5 can be written in the form y=mx+b, where: m=?,b=?
solve
Find the equation of the line through the point (0, - 2) which is perpendicular to the line – x + 2y = 8. Please explain the steps you used and clearly state your final answer. Edit - Formats BIUX x' Insert- 4. 国

Find an equation of the line that passes through the point (3, -1) and is parallel to the line 2x - y = 5.

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Find an equation of the curve that passes through the point and has the given slope. (Enter your solution as an equation.) (0, 6), у'%3D 18y