h=6
b=5
Height y and right side is x. from property of similar triangle,
Pythogoras theorem
Differentiating with respect to x
For critical points
Putting the value in the function
The problem is to put a "roof" of side s on an attic room of height...
Find the length s of the path (2 + 141, 3 +212) over the interval 7 <1 38. (Express numbers in exact form. Use symbolic notation and fractions where needed.) s= Find the length s of the path (r + 5,12 + 8) over the interval 5 <1 37. (Use symbolic notation and fractions where needed.) S =
21. Find the length of the equiangular spiral r = 5e for 0 So (Use symbolic notation and fractions where needed.) S =
solve and show all work please 15.4 Integration in polar cylindrical spherical coordinates: Problem7 Previous Problem Problem List Next Problern (1 point Use sphenical coordinates to calculate the triple integral of f(x. y, ) - y over the region Use symbolic notation and fractions where needed.) +y S 3, x y, zso ydI help (fractions) 15.4 Integration in polar cylindrical spherical coordinates: Problem7 Previous Problem Problem List Next Problern (1 point Use sphenical coordinates to calculate the triple integral of...
Let F be the equation y=e^5x, let G be the equation x= 7, and let H be the equation y=1 . Find the area of the region enclosed by the graph of these equations.(Use symbolic notation and fractions where needed.) area= (b), Let F be the equation y= sin(11 x), and let G be the equation y= cos(11 x). Find the area of the region enclosed by the graphs of these equations if 0 less than equal to x less...
8. (tan (u-1-e", r-6v2) and g(x, y) (eno-n), 8(x-y)). Letf (u, v)s - (Use symbolic notation and fractions where needed.) (Give your answer as comma separated list of a, h, c, d from Do g)(, I) - 8. (tan (u-1-e", r-6v2) and g(x, y) (eno-n), 8(x-y)). Letf (u, v)s - (Use symbolic notation and fractions where needed.) (Give your answer as comma separated list of a, h, c, d from Do g)(, I) -
A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0) - 4 metres. The volume of water is given by V-(t)h(t) Over time, the sides of the base are decreasing at a rate of dt =-0.05 m/s and the water is leaking from a hole in the base of the...
Question 6 of 13 Find the volume of the solid obtained by rotating the region enclosed by the graph of f over the given interval about the line X=4. f(x) = x-(-5, -1] (Use symbolic notation and fractions where needed.) V=
I'm not sure about b,c,d. Is there anyone can help with this question? A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0)4 metres. The volume of water is given by Vt)(t) Over time, the sides of the base are decreasing ata ateof0.05 m/s and the water is leaking from...
. The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Height (in feet) Stories 1,050 57 428 28 362 26 529 40 790 60 401 22 380 38 1,454 110 1,127 100 700 46 a. Using “stories” as the independent variable and “height” as the dependent variable, make a scatter plot of the data. b. Does it appear from inspection that there is a...
THE ANSWER IS NOT 0. NO DECIMALS EXACT ANSWER ONLY Find the line integral ſc (3x + 4y) ds along the curve C, which is given by x = sin (31), y = 5 sin (3t), and 0 sts (Express numbers in exact form. Use symbolic notation and fractions where needed.) | 3x (3x + 4y) ds =