dz/dt = -Bz(1 – vz), z(0) = 1. %3D

Q: 1. Find the rate of y with respect to x at the point (1, 7) if 7y – ry = 4. dy da

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Q: 1 dx = 9 inches per second :- dt y = 1 + x2 (a) x = -3 dy in/sec %3D dt (b) x = 0 dy in/sec %3D dt…

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Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

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Q: dy of the implicit function. dx 4. Find the 1 1 1 2 2 = a

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Q: 1. Find the rate of y with respect to x at the point (5, 8) if 7y-ry 4. dy da

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Q: Determine whether the equilibrium at x = 0 is stable, unstable, or semi-stable. dx = 3x7 dt The…

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Q: Find the total differential dz ZzxeX+y

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Given that x and y are functions of time, find the indicated rate of change. dx when x 6, y = 3, and…

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Q: A particle is traveling upward and to the right along the curve y = ln x. Its x-coordinate is…

A: Given a particle is travelling upward and to the right long the curve y=lnx. It is given that dxdt=x…

Q: Sdz dx dy=1 dz dy dx=24

A: Given  a) ∫01∫12∫23dzdxdyb) ∫01∫x2x∫0xydzdydx

Q: e*dx cln 1 Calculate Jin 0.5 V1-ezx" (b)

A: We will solve this integral via substitution:

Q: 3. Water is being poured into a 10 liter leaky container so that the volume of the water, V,…

A: A differential equation is an equation that contains functions and their derivatives.  A…

Q: 9. Sinte)e x(t² + 1)dt = x ,(t² + 1)dt S' 2* dx < S, xdx 10. dx = dx + dx 11.

A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

Q: e dx 1- e2x (integration by substiution)

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Differentiate. In x y= 11 y3D dx

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Q: COS f(2, Y) af af dy f(x, y) = log, (3x) af %3D fe dy

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Q: # 5) If y = x³ + 2x and dx/dt = 5, find dy/dt when x = 2. # 9) If a snowball melts so that its…

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Q: (b) x²e3 dx (d) arctan 4t dt

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Q: 1. S ( cos(2x-1) dx (Integration by Parts) et

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Q: e dx (1) S. 1-e2x (integration by substiution)

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Q: Use the Euler method with dx = 0.2 to estimate y(1) if y' = y and y(0) = 1. What is the exact value…

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Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

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Q: differentiatin, detamina dy of ; dx y= [at) (Xts) (a-z) (x-+)

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Q: dy 1; find dt dx at x =- dt Related Rates: Given y = cOs x + sin and 4

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Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: finel cly 0- ó cost +1nt) e e (cos Ø + Ssin ø)

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Q: What is the average rate of change of y = cos(2x) on the interval 0,? a. = b. -1 с. О d. 4 e.

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Q: The heat transfer rate of the rocket engine is given by: dT Q = -kA dx

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Q: Jrin m In(cos m) dm

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Here we can use the following formula  If z=fx,y, thendz=fx dx+fy dyδzδy=fx δxδy+fy

Q: 7. Find dy and hence determine the rate of change of y with respect to x for the following…

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Q: The Integrating factor of the equation (x²y³ + xy) dy dx 1 is

A: We have to find the integration factor of the equation x2y3+xydydx=1. We know that integrating…

Q: Aparticle moves on the graph of y^2=x+1 so that dx/dt=4x+4 what is dy/dt whrn x=8?

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Q: y=ln(θ+4) dy/dθ=

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Q: Find the total differential dw. 5. w = x tan¬ y – 2ªyz

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Q: dy/dx=x3cosy

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Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

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Q: Find dy/dx. x = 9/t, , y = Vte-t

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Q: E valuate dt + seck tan x dX

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Q: The integrating factor of the equation (2 + y + x) dx + xydy = 0 is

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Q: dy = 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and

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Q: related rates - find dy/dt where xy=10 and dx/dt = 02 and x = 5.

A: To find the rate of change of y with respect to t, under the given conditions.

Q: Find the integrating factor that makes the equation xy^3+(x^2y^2+1)dy/dx=0 exact.

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Q: related rates - find dx/dt where x2 +xy - y2 = 20. dy/dt = 5 and x = 4

A: x2 +xy - y2 = 20Diferentiate both sides with resepct to t. While differentiating recall the:Chain…

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

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Q: Find dy/dx. x = 6/t, y = Vte-t

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Q: Find the integrating factor of (x² - y²)dx + (x² - 2xy)dy = 0

A: Given  (x2-y2)dx+(x2-2xy)dy=0