dy Let xy = 5 and = 1. dt dx when x dt Find 4.

Q: Find an interval of definition for the equation x^2 dx/dt = 3x^3 t^2

A: Domain of definition is where X(t) is defined

Q: Give xy+x^2 y=2 such that dx/dt=2 in/sec. FInd dy/dt for x=1

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Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: dy 4. Let ry = 2 and dt dx when x = 1. dt Find

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Q: dy when x = - 1 and dt Given y = 6x +7x, find dx %3D = 5. dt %3D

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Q: 5. f'(x) dx = Choose... 6. cosh t dt = Choose...

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Q: dy Given: y= tan x Find dt dx when x =- m and dt = 2 m/s 3

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Q: sin(xt) d Find dx -dt - t

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Q: 1-dt 3- Ln(t) dt. Q10:- Calculate dx J2x t2

A: Use fundamental  theorem of calculus

Q: Find dx/dt given that 4x^2+9y^2=13x  x=1,  y=-1 and dy/dt = 10

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Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +5 and dt Find dy dt dt when x = 3. (Simplify your…

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Q: dy Find at x = dt dy dt || 4 if y = 3x² + 5 and dx dt = 1.

A: Let's find dy/dt value at x=4.

Q: dx If y = 2x3 + 3x and dt dy 3, find when x = 4. %3D dt dy dt =

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Q: dy Let xy = 1 and = 4. dt dx when x = 2. dt Find

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Q: Assume that y=2x and dx/dt =4. Find dy/dt . dy/dt

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Given Equation: and given that dx/dt = 3 Find  (a) dy/dt when x = 4,…

Q: suppose y = √(3x + 1), where x and y are both functions of t. If dx/dt = 2, find dy/dt when x=5

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Q: Assume that x=x(t) and y=y(t). Let y=x^2+2 and dx/dt=2 when x=5. Find dy/dt when x=5

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Q: dy dt when x = 2. Let xy = 3 and Find dx dt 5.

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Q: dx Assume that x= x(t) and y= y(t). Let y =x +4 and -5 when x= 1. dt dy Find when x= 1. dt

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Q: dw (C): If w = tanx and x = 4t³ + t ; Find dt dy

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Q: dx Assume that x = x(t) and y = y(t). Let y = x² + 3 and dt Find dy dt dy dt when x = 5. (Simplify…

A: We have to find the derivative

Q: If y = x + ex, find dx/dt.

A: Given query is to find the derivative of the expression.

Q: :Use variation of parameters to solve dx Зх — Зу + 4 dt dy 3D 2х — 2у — 1 dt

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Q: Calculate following derivative if y(t) = 6t-3 + 41². (Use symbolic notation and fractions where…

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Q: sinh x d Find dx 1 dt t2 + 1

A: We will apply Leibnitz theorem to solve it

Q: find dy/dt. y = (esin (t/2))3

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Q: Assume that y = 5x and dx/dt = 2. Find dy/dt.

A: Consider y = 5xApplying derivative with respect to t on both sides and plugging the values:

Q: da dy at z = – 5 if y = 3x2 – 3 and - 1. Find at x = %3D - dt dt dx %3D dt ||

A: given y=3x2-3 ........(1)

Q: dy at x = dt dx Find - 4 if y = 4x² +1 and -2. %3D dt dy %3D dt

A: Take the derivative with respect to t and put the given values.

Q: dy If Vx +Vy=5 and dx - 3. find the value of when X=1 dt dt

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Q: Let y = tan(4x + 3). Find the differential dy when x = 3 and da Find the differential dy when x = 3…

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Q: Assume that x and y are both differentiable functions of t and find the required variables below.…

A: x and y are both differentiable functions of t y=x We need to find implicit differentiation dydt a)…

Q: dy If y = 4x3 + 5x and dX dt 2, find Y when x = 3. dt dy dt

A: We have, y = 4x3 +5x dxdt = 2

Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

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Q: dt sin x cos t dx

A: Please the the explanation below..

Q: x2 dy × J sint'dt. Find for y = x dx х2 dy dt + (Type expressions using t and x as the variables.)…

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Q: Find dy/dt using the given values. y = x3 - 5x for x = 3, dx/dt = 4. dy dt

A: Value of dy/dt= 88 See the calculation below

Q: If x ^2+ y^2=100 and dy/dt= 4 , find dx/dt when y =6

A: Solving the problem by method of differentiation.

Q: Assume that x=x(t) and y=y(t). Let y=x2+3 and dx/dt=4 when x=5.Find dy/dt when x=5.

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Q: Integrate: IZ+x dx Cos(l+se)dt

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Q: Find dy/dt. y =

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Q: y=√x Find dy/dt, given x = 4 and dx/dt = 3 Find dx/dt, given x = 49 and dy/dt = 8

A: We have to find dydt given x = 4 and dxdt= 3 Find dxdt, given x = 49 and dydt = 8

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

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Q: If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6.

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Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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Q: Find differential of the function y=(x^2+3)^3 dy=? dx When x=4 and dx=0.05, compute the…

A: We have to find

Q: Find dt y = 31(21? – 5) $ dy dt

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Q: dy Let xy = 4 and = 5. dt dx when x = 2. dt Find ||

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Q: Can i get help step by step please

A: Given

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.