IN CERtAin CHEMICAL REAetions, MOLEULES of Two oittERENT SUBS TANCES REACT AND PROVI0E MoLseulE of THE 3rd SuBs TÀN CE, ( Bio malewle). PIR SomE REACTiO's THE RAtE dy At WHICH THE REACtion occURS is GWN BYTHE fo llowING D.E. FIND 4, THE AMOUNt of THE 3rd SUBSTANCE AS t> 0, KNOWINC THAt WHEN T=0, y=0.

Q: 2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands…

A:

Q: Evaluate 1cos ax dx and 1sin ax dx, where a is a constant.

A: We know that, ∫cosθdθ=sinθ+C           ⋯⋯1∫sinθdθ=-cosθ+C     ⋯⋯2 (a) We have, I=∫cosaxdx Let us…

Q: dy Q3) Find dx for 3(x? + y?) ² = 100xy

A: Here, the derivative dydx is obtained by implicit differentiation. Thus to find the derivative first…

Q: 3. The radius of a circle is changing at the rate o-2/ m/s. At what rate is the circle's arca…

A:

Q: Let 2 sinx+7cos y = 6. dr

A:

Q: Find dy y = e fin (52) for り =

A:

Q: Evaluate COs dx

A:

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

Q: 1. A 10 ft ladder is leaning a gainst a wall. If the top of the ladder slides down the wall at a…

A:

Q: 1. of the balloon is increasing when the diameter of the balloon is 20 cm. Air is being pumped into…

A:

Q: * Find. 10 dx dy e25 10 e25 – 10

A: To find the value of integral: ∫010∫y25ex2dx dy Here, integration with the given order is difficult.…

Q: sig's = Iny show thouk dy 24 dx

A:

Q: 19. The tires on your car are 20 inches in diameter. The tires are turning at the rate of 8…

A: Let the given diameter of the tires be d=20 inches.Then the circumference of a tire= π×d=20π…

Q: Find dy. y= 2 In (3+x*) dy =|

A:

Q: Find dy/dx in terms of æ and y if V = 10,/ỹ. dy dr

A: The given function is:x5=10y