If z = e* sin y, where x = s?t2 and y = s²t, by using Chain Rule find ôz/ðs and az/dt.

Q: find dy/dxy=cosx/1+sinx

A: To find the derivative of the given function y  = cos(x)/(1 + sin(x)).Use the quotient rule for…

Q: Consider the following system of equations that model the strange dynamics between the two…

A: Given xt denotes the population of mathvillagers and yt denotes the population of the biocitizens,…

Q: Find y'. cot (1) y = 4 cot O A. O B. -8 csc (*) 4 9 CSC 9

A: Given:; Now,           y'=4cotx9'     =4cotx9'     =-csc2x9x9'      =4-csc2x919     =-49csc2x9

Q: Find dy/dx if 3 (cos y) (sin x) = y

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Q: Let y = cot (csc2x/x3+5). Find

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Q: find y' y=cos(3x)+cot(5x)

A: We have to find derivative of f(x),where f(x) is given by:

Q: 7. Let y = tan (3x - 2), find y'.

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Q: Suppose y = 2/x³ +3/e*². Find Dxy. Dxy = Hint: Apply the chain rule and watch for the right sign.

A: Finding derivative with respective 'x'.

Q: y = () Зx2-2 х+3

A: I am using the chain rule to find the first order derivative of the given equation

Q: Find dy/dx if y = (*+*) А. 1 В. 2х + 2 D. 1/x C. 2x + 4 csc(2b) sec(2b) Find da/db if a A. 2sec (2b)…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Find dy /dx fors catx y-(tanx) +Ccata) (cotA) tanx

A: We use Logarithmic properties and differentiation

Q: = Z

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Q: 6. cos-1 Vx dx

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Q: Find y". y = 5 cot X

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Q: Suppose you have a tank with water and at t = 0 (t is measured in minutes) the volume of the water…

A: The water flows into the tank at a rate of

Q: 1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8.…

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Q: 1. y = 5u°; u=7x – 4x' + 2x –9 2х-9 u +1. u=Vx? +1 y = u? -1' 3. x=7y -3y +y +8 2.

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Q: 5 一=A+hxsl-x dy=?

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Q: Use Gamma Function to evaluate dx

A: The definition of gamma function states that, Γn=∫0∞tn-1e-tdt where Γn=n-1! and Γ12=π. The given…

Q: dy - (1+x)у -ху? .2 1.) х- dx

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Q: y = 2cotxArcsec(nx) + cos² ||

A: To find dydx the following rules have to be used: a) Chain rule which states…

Q: 37 Y= Sin (t?)dt o dy=?

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Q: of Find and ax Əf f(x,y) = e | 11 Əf dy 3xy for the following function. In (9y)

A: The answer is given in step 2 and 3