0. dy for y = 4t dt. 4t +1 3x3 Use Leibniz's rule to find хр

Q: 3. Find (6-+- vē)dt Vy 4. Find S- dy (4-yの?

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Q: S when メ=2 Y =x*+b $ Find dy when X=. dt dy

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Q: If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6. (Enter your answers as a comma-separated…

A: Consider the given: x2+y2=100 Differentiate w.r.t. "t",…

Q: dx dy Find at x = 1 if y = – 5x´ – 3 and 5. - dt dt dx dt

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

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Q: dy 4. dz at z = - 4 if y = 3x² – 1 and dt Find dt dz dt

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Q: Find dy at taal dt and ya Vltx? and X = t.

A: Explanation of the solution is given below...

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: dy dz Find at z = 1 if y = 4z +4 and = 2. dt

A: Given: y=4x2+4

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Q: use Separation of Variables to find the general solution. dy/dt= y tan t

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Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

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Q: Let y = tan(5z + 6). Find the differential dy when a = 4 and dæ 0.1 %3D Find the differential dy…

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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: Find the value of dy/ dt at t = 0 if y = 3 sin 2x and x = t2 +π.

A: Given : y=3sin2x, x=t2+π To find : dydt We can write dydt as, dydt=dydx×dxdt                    1…

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

A: y=3x3+4xdxdt=2,

Q: Solve 12 dy dy ty = t®y=1 dt

A: A differential eqaution of the form y'+p(x) y=q(x) yn, n ∈ℝ is called a Bernoulli differential…

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

A: By using derivative of function

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

A: Solve the following derivative

Q: w =sec (xyz) - Yx +y+z

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Q: dy -y ze°Cos(E) dt y le) =0 1+らine

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Q: dy 4 – 5y = e-3t sin(4t) ; y (0) = 3, y (0) = 10 dy %3D - dt?

A: We solve the given IVP  y"-4y'-5y=e-3tsin(4t)........(1) y(0)=3, y'(0)=10.......(2)

Q: dy dt 1 Find if 4y°t + t°y = 2 and dx dx cos t dy dx

A: To find dydx here we need to use both chain rule and product rule of differentiation.

Q: Suppose w = x³yz + xy +z+3 and x = 3 cost, y = 3 sint, z = 2t. Then dw dt t= . [Show solution.] =

A: Given :w=x3yz+xy+z+3x=3costy=3sintz=2t

Q: 1 -dt = xy ndif y + J sint+1 secx dx

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: If x = y3 - y and dy/dt = 5, then what is dx/dt when y = 2?

A: Given,

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: 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: If y = x - 4x and x = V2r + 1, find dy/dt when t = 1= V2.

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Q: Find the differential dy. y = ex/2   dy=

A: Here the given expression is y = ex/2. Apply the chain rule:

Q: dy Find for y = cos (8at + 1). dt dy dt

A: We have to find out dy/dt for given y

Q: dy at z = 5 if y = 5x² + 4 and dt dz Find 3. dt dy dt

A: Given y=5x2+4 -1and dxdt=3

Q: dy 4. y dx ;y(1) = 3 x(х+1)

A: In this question , Firstly we can integrate on both sides and solve the integral. After that we can…

Q: B. Verify that dz/dy dz/dx 1 =. If xy + z = sinz.

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Q: Assume that y=5x and dx/dt = 8 find dy/dt

A: Differentiate by chain rule : →f(g(x))dx = d(f(x))d(g(x))×d(g(x))dx.

Q: dy If y = (t + 5t + 6) (2t² + 4), find dt dy %3D dt Submit Question

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

A: The objective is to find total derivative dw.

Q: Find the solution of the differential equatlor dy 3xeY, y(0) = 0 dx %3D

A: Consider the equation

Q: If y = x2 and dx/dt = 3, then what is dy/dt when x = -1?

A: Differentiate both sides with respect to t.

Q: Can i get help step by step please

A: To find dx/dt when y = 2 and dy/dt = 5

Q: Can you help me step by step?

A: The given function is

Q: dæ Let y = 3.75a + 4.75 and dt 0.2. dy dt Find when x = 3,

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Q: Find the general solution of the equation dy + (tan t) y = cost dt

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Q: 4 cos x Let y = [, (2t + 1) (t + 8t)'/3 dt. Find dy/dx.

A: We will find out the required derivative for given function.

Q: Find dt y = 31(21? – 5) $ dy dt

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Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

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Q: dr Suppose dx dt dy 4, = 3. Find given that r = dt dt x = 8 y = 2 Write your answer in exact form,…

A: Topic = Derivative

Q: Can i get help step by step please

A: Given

Q: Can i get help step by step please

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Q: Find the differential dy. y =  x + 8 7x − 1

A: Assuming that y is given as:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.