Find all of the points of the form (x, −x) which are 5 units from the origin.

Find all of the points of the form (x, −x) which are 5 units from the...
find all points (x,y) with x=y that are 12 units from (1,-5)
Find all points on the x-axis 5 units away from the point (2, −4).
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
Find the average distance from the origin of all the points of the solid cylinder {(x,y,z) | x2+y2+z2 =<4 and 0=<z=<4}. Use either a triple integral or the formula for the volume of a cylinder, and use either cylindrical or spherical coordinates.
5. (20 points) Find the basis for the set of all vectors of the form (a-26 + 5c ) 2a + 5b-8c - a -46 +7c 10,5,CER 13a+b+c What is the dimension of the vector space this basis spans? Warning: check the linear indepen- dence relation among the vectors!
5 -11 points v LARCAAPCALC2 9.2.004. Find the number of units x that produces a maximum revenue R in the given equation. R = 27x2/3 – 2x x = units Need Help? Watch It Talk to a Tutor Additional Materials eBook Submit Answer Practice Another Version
Need Help? 15. (-/1 Points] DETAILS LARCOLALG10 4.3.035. Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Vertices: (+3, 0); foci: (+2,0) Need Help? Read 16. (-/1 Points) DETAILS LARCOLALG10 4.3.037. Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Foci: (+5, 0); major axis of length 16 Need Help? Read Type here to search о неа
Problem 4: (a) (5 points) Find the equation for the line that passes through the points (-4,-2) and (8, 1). Write your equation in se form, slope-intercept form, or point- slope form. (Extra Credit: Write the equation for the line in all three forms) (b) (5 points) Graph the line. Problem 5: (10 points) Find the equation for the line passing through the point (3.2) and perpendicular to the line y = ',x + 7. The the line Problem 6:...
4 points Find the volume of the solid of revolution form by rotating the area under the curvey = = around the x-axis from x = 1 to . (Give 32 your answer to the nearest thousandths and don't include units.)
3. Find m for which the following lines do not form a triangle. x+2y 5D, 2x-3y-4 .2, mx+y 0 [Sol] Since line 3 passes through the origin, lines D, 2 and 3will not form a triangle in the following three cases: wor When D and 3 are (i) parallel. doa When 2 and 3 are (ii) parallel. When D, and 3 all intersect at one point. (ii Therefore, from ( i ), (ii) and (iii), m 4. Find a for...