Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth. Start by defining an appropriate f(x) and then use y yo+dy where the differential dy gives the change along the tangent line at a convenient nearby point. (a) sin(3) (b) V4.1

Q: findthe differential dy of the given function. y= arctan(x − 2)

A: we have to find the differential dy of the given function. y= arctan(x − 2)

Q: Let y=tan(4x+6)  Find the differential dy when x=1 and dx=0.1  Find the differential dy when x=1…

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Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: Find your answer below

Q: Solve for the differential of y when y = sinæx, x=-, and dx=- 3 2 4 4 -iN

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Q: Match the appropriate slope field with the differential equation y'=+2. 事 B.

A: given differential equation y'=xy2+2 claim- to find the slope field of the given equation definition…

Q: Find the differential d5y of the function y=sin2x.

A: To Determine: Find the 5th differential of the given function y = sin(2x)

Q: Calculate the differential of the function y=x5−7x3+5x at the point x=2 when dx=0,2.

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Q: Solve the following differential eyuation x 2+ 2y = x* e** y.

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: 5.32. z = sin(x² + y?)

A: To find the differentials of third order.

Q: Find the differential of the function. y = x4 sin(12x) dy = ?

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Q: Find the differential dy of the given function. y = 3x − sin2x

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Q: Let y tan(2x + 2). || Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

A: We have to find the differential dy

Q: Consider the following. Differential Equation Point y' = 4x2 - x (0, 3) (a) Sketch the slope field…

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Q: Find the differential equaiton corresponding th y= a cos(log x) +b sin(log x) where a and b are…

A: Differential equation formation

Q: Find the differential equation of the family of circles with fixed radius, r=a+b,and tangent to the…

A: I am attaching image so that you understand each and every step.

Q: Let y tan(4x + 6). Find the differential dy when x = 5 and dx = 0.2 Find the differential dy when x…

A: Given : y = tan(4x + 6)   To find the differential dy when x = 5 and dx = 0.2 Also to find the…

Q: 2. Use the method of equation Uariation of parameters to solve the differential dy - k- dx² dx xez…

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Q: Calculate the differential of the function y=2x x2−3 at the point x=3 when dx=−315.

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Q: of the differential equati

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Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

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Q: Find the differential d3y of the function y=xsinhx.

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = - cos( 7x - 1 dy =

A: We have to find dy for the given function y=17cos7πx-12.

Q: Find the differential of the function. y = 0 sin(60) dy =

A: To find the differentiable of the below function. y=θ3sin6θ

Q: An important and very useful exact differential to (2y² +2x² +y]dx - xdy = 0

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Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: Given the differential equation is                        y'=y-cosπ2x

Q: Find the differential of the function y=xxe2x at the point x=1.

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Q: Find the differential of the function y=2x2+3x+1 at the point x=1 when dx=0,1.

A: To find the differential of the given function at point x = 1 when (d x) = 0, 1.

Q: Find the differential equation corresponding to y=a cos(logx) +b sin (logx) where a and b are…

A: For a given solution having N constants , we have to differentiate the given solution for N times to…

Q: Let y = tan(4x + 7). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: Find the differential equation of the the following family of curves All straight lines at a unit…

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Q: Let y = tan (3x + 3). Find the differential dy when x = 3 and dx = 0.4 Find the differential dy when…

A: Given is the function y=tan(3x+3) We need to find the differential dy when x=3 and dx=0.4. and…

Q: Find the differential of the function. y=x^4 (sin(8x))

A: topic:-  derivatives

Q: Find the differential dy of the given function Y=arctan(x-5) Dy=?

A: Use the standard derivative of inverse trigonometric function and chain rule.

Q: Let y = tan(5x + 6). Find the differential dy when x = 5 and dx = 0.2 Find the differential dy when…

A:

Q: Let y tan(4x + 8). Find the differential dy when x 5 and dx = 0.2 Find the differential dy when x =…

A: Topic = Derivative As per guidelines , At a time only one question can be answered.   use formulalet…

Q: dy + ytanx = y° sec° x dx

A: We have to solve given problem:

Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: Find the differential of y=xsinπx2 at the point x=12 when dx=0,01.

A: We will use product rule and chain rule to find dy/dx

Q: Use a linear approximation (or differentials) to estimate the given number. e−0.01

A: Let f(x) = ex, where x = –0.01. Then f(0) = 1.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x + (sin(x))² dy = Need…

A: The solution is :

Q: Let y = tan(5x + 3). Find the differential dy when a = 3 and dæ = 0.4 Round to 4 decimal places if…

A: For calculating dy, first we have to differentiate y w.r.t x, then find dy from that expression. The…

Q: Let y = tan(3x + 4). Find the differential dy when x = 4 and dx = 0.4 Find the differential dy when…

A: We know that, ddxtanx=sec2x We have,  y=tan3x+4 On calculating derivative with respect to x, we get…

Q: Let y=tan(3x+3). Find the differential dy when x=5 and dx=0.3  Find the differential dy when x=5 and…

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Q: If y = In(6 + x8), find the differential dy. Your answer will be in terms of x and dx. Enter dx as…

A: topic - differentials

Q: find the general solution of the differentialequation and check the result by differentiation.dy/ dt…

A: The given differential equation: dydt=x32 Integrate both sides of the differential equation with…

Q: Find the differential of the function. y = 6 sin(60) dy

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Q: Calculate the increment and differential of the function y=x2−x+1 at the point x=2 when dx=1.

A: Given, the function is y = x2 -x +1 at the point x = 2 and dx = 1, We have to calculate the…

Q: Find the differential of the function   y = θ3 sin(6θ)

A: Solution :-