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The length of a rectangle is 9 cm less than twice its width. If the area of the rectangle is 26 cm. find the dimensions of the rectangle. The width of the rectangle is (Simplify your answer. Type an integer or a fraction) The length of the rectangle is (Simplify your answer.) Atoy rocket is launched from a platform 42 meters above the ground in such a way that its height, h (in meters) after t seconds is given by...
10. A rectangle has a length that is 3 cm longer than its width. If x represents the width of the rectangle, which expression represents the perimeter of the rectangle? a. 4x + 3 b. 4x + 6 c. 2x + 3 d. 2x + 6
9. The base of a right prism is a rectangle whose length is 3 cm more than its width. If the altitude of the prism is 12 cm and the lateral area is 360 cm, find the total area of the prism.
The members of a marching band form a rectangle with initial length L0=40 feet and initial width W0=20 feet. As their song begins, they begin marching so that the length of the rectangle increases at a rate of 3 feet per second, and the width of the rectangle increases at a rate of 2 feet/second. (a) Write an equation for area A of the rectangle of the marching band in terms of length L and width W. (b) Use implicit...
A solenoid of radusr-1.25 om and length-32.0 cm has 330 turms and canies 120 A (a, Calculate the max throu h the hrface ot a dsk-shaped area of radius π·soo om that "ationed perperdcular to and (estered on the ans of the tolinoa as in the ngure (a) abo b) rp-e (b.bov·shows an enlerged end view of the sarm solenod. Caiculate the "o throvah the tan area, which is an annulus with .n inner radu, oa-0.4 0 cm " d...
part B please
The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the radius is 1 cm? b. How fast is the radius changing when the circumference is 2 cm?
Show all work. 1. Find two nonnegative real numbers x and y such that x + y = 24 and x2 + y2 is maximized and show why it is a maximum using calculus. 3. The length of a rectangle is decreasing at a rate of 2 cm/sec, while the width wis increasing at the rate of 3 cm/sec. At the moment when the length / is 12 cm and the width wis 5 cm, find the rate at which...
Question 6 10 pts The volume of a cube is increasing at at rate of 20 cm. How fast is the surface area increasing when the length of an edge is 50 cm? Upload Choose a File
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
9. (10 points) The base of a rectangle is decreasing at a rate of 2 ft/min and the height of the triangle is increasing at the rate of 1.5 ft/min. How fast is the area of the rectangle; changing when the base of the rectangle is 5 ft long and height is 3 f? state units. 10 /10: D.d.bahnlist wisdom