1. L

    Cartesian slope rationality

    If a line coincides with at least two vertices on an infinite Cartesian grid, its slope is rational. If a line coincides with only one vertex on an infinite Cartesian grid, its slope is irrational. If a line coincides with no vertices on an infinite Cartesian grid, its slope is either...
  2. E

    Slope of the Unit Circle at Any Point

    How do you calculate the slope of the unit circle at any point? Unlike curves that can be written in the form y = ax^2 + bx + c, which are easy to take the derivative of, writing the unit circle in y = form would have a positive or negative in front of a square root.
  3. A

    slope of a graph

    Hi there, I need help! Let's say you have an equation "y=(pq)/(rs)", then you calculate various values of "y" by changing the "p" You will plot the ln p versus ln r graph. How can we calculate the slope of the graph by differentiation method? Thank you.
  4. L

    Slope of a curve

    Hi guys, my little brother has a homework to do and I want to help him but I can't solve the following problem :furious: Find the slope m of the curve −x + y^3(x) = 7 at the point (1, 2) . If anyone can solve it for me with steps, it would me much appreciated. :)
  5. R

    Help with a KA problem (Slope,speed, rate)

    -------- If the speed is constant why cant I divide the time by the distance of any of the entries instead of using the slope?
  6. G

    Why is undefined slope a vertical line?

    Let's say I have two points: (2,-4) and (2,3). The slope would be 7/0 which is undefined. Why is this a vertical line and where on the graph would it fall?
  7. W

    Intuitive understanding of how slope is the inverse of area under the curve

    Hello, I'm trying to gain an intuitive understanding regarding how the area under a function is the opposite/inverse of the slope of that function. I am familiar with the ideas that differentiating a function determines the slope and integrating a function determines the area under the...
  8. H

    slope and inclination

    Hello All This is on behalf of my 14 year old son. He came to me with this issue and I come here :o Is it possible, someone can assist me , assisting my son here ? Thank you Regards *PS: the word 'hoogte' in the picture means 'height' (in dutch)
  9. L

    Slope ratio related to f'(x) and f"(x)

    Is the proportion between the slope of a line connecting a local maximum and minimum, and the nonzero slope of an adjacent inflection point always rational?
  10. S

    A Steamroller on a Slope (Moment of Inertia)

    There is a steamroller with total mass 12000 kg on a 4° slope. It has 2 wheels (full homogeneous cylinders) with mass 3000 kg (each one 3000 kg) and diameter 1,2 m (radius 0,6 m). How big would the acceleration of the steamroller be if brakes got broken. Result: 0.56 m/s^2 Relevant...
  11. A

    Find points of maximum slope on surface

    I got this surface: f(x,y) = 3/(1 + x^2 + y^2) I want to find the points that have maximum slope. I think I'm suppose to create the function (aka. the speed at given point): g = sqrt((f'x)^2 + (f'y)^2) And find where g'x = 0 g'y = 0 Issue is, the expression is gets so complex I have...
  12. B

    Slope of a Line

    I am working through the solution to this problem, and the part I don't understand is why k - 2 = the slope (3/4). Problem: Find the value of k for which the line passing through the points (1,2) and (2, k) is parallel to the line 3x - 4y = 6 Solution: We can write 3x - 4y = 6 as 4y = 3x -...
  13. B

    h of a square frustum given v, side slope angle, and surface area

    This may not be the right forum, but I'm guessing it will require some sort of integration. I am trying to puzzle out a way to calculate the height (and therefore, also the top area) of a square frustum, given that I know the base area, volume, and side slope angle or ratio. Specifically, I am...
  14. 3

    Given Slope of Line and Equation to Ellipse

    Given the slope of a line and the equation for the ellipse, I am trying to find the points of intersection (should only be two) that are tangent to the ellipse. I have found many tutorials to determine the slope/gradient of a line when given a point on the ellipse but none as I need it...
  15. R

    differentiation question

    hi im given x=t^3andY=t^2-4t then im asked to find dy/dx in terms of t, find the slope of this curve at (-1,6) and then determine a point at which the tangent to this curve is parallel to the x-axis. i worked out (dy/dx) = (2t^2-4)/(3t^2) second part i used the point (-1,6) to a slope of...
  16. G

    graph the line with the given slope m and y-intercept b.

    Is there away to find "fractions" or if not called fractions not sure what the correct word is I believe I have found out that if it's 3/2 it's found still between 1 and 2 ? just like if it was 5/2 it would still be the same I think as the bottom number is still 2 If that's wrong sorry...
  17. G

    Finding slope.

    Not sure why this is four.
  18. G

    Find y if the line through (1, 4) and (5, y) has a slope of 6.

    Find y if the line through (1, 4) and (5, y) has a slope of 6. Do I just add 6 to 4?
  19. R

    Slope intercept to get z scores?

    My professor said we have to use slope-intercept form to get z scores. I don't really understand why or how to do this. p(HIT) = p(Y|S+N) = 57/(57+21) = 57/78 = 0.7308 p(FA) = p(Y|N) = 30/(39+30) = 30/69 = 0.4347 "Because the table does not have every value, you will need to use a slope...
  20. K

    Linear slope

    If I give an equation of $3=2 \cdot 3 +4$, how do I determine the other point used to find slope, without using the grid and without using the X or Y intercepts? $m = \frac{y2-y1}{x2-x1}$ or $m = \frac{y1-y2}{x1-x2}$ We know y=3 and x=3 and the slope is 2. I'm going to take a wild guess and...