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A: given, to test for the exactness of differential form
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A: Given- Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and…
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Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.
A: Please see the below picture for detailed solution.
Q: Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm Use differentials…
A: Given that the side length of a cube is 5 cm with an accuracy of 0.1 cm Volume of a cube=side…
Q: ach to solve omogeneous ential equatior
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Q: Approximate the length of the curve using n secant lines for n = 2; n = 4.y=ln x, 1>=x>=3
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Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…
A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…
Q: differential equation is given as
A: In this question, the concept of the differential equation is applied. Differential equation A…
Q: in differentials of functions, if x change by a small amount dx then, what will happen to y?
A: Let a function be y=fx then here y is the dependent variable and x is the independent variable. The…
Q: 4. A thin homogeneous bar of thermal diffusivity 9, length 2 cms and its left end maintained at…
A: Given that a thin homogeneous bar of thermal diffusivity 9, length 2cms and its left end maintained…
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Q: Approximate 4 2 1 ln(x) dx using the midpoint rule with four subdivisions to four decimal places.
A: Note the question is nt mentioned correctly .but I understand the problem it is integral of 1/ln(x)…
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A: Tangent to the curve
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Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…
A: This question is about application of derivative
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Q: Find the relative error in the computed area of an equilateral triangle due to an error of 3 percent…
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Q: differential equation
A: Please refer to the image below
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Q: Show that OW
A: x2+y2-xdx-ydy=0x2+y2-xdx+-ydy=0 -Equation1Let M=x2+y2-x and N=-y∂M∂y=2y , ∂N∂x=0As…
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Q: What are the real-life applications of antidifferentiation or integrat
A: What are the real-life applications of anti-differentiation or integration?
Q: (a) Sizl=1 dz.
A: Here we use property of analytic function.
Q: Write a differential equation showing the family of lines with slope and y-intercept equal
A: Equation of lines is y=mx +c ; where 'm' is the slope and 'c' is the y-intercept.
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Q: arabolas with axis parallel to the y-axis
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Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…
A: Let d1, d2 be the diagnols of a parallelogram given, d1+d2=18d1=2+d2 ⇒d1=10, d2=8 Area of the…
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- Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the ends, with a material 0.001 cm thick, determine the estimated volume of the insulation using differentials.eliminate parameters to solve for a differential equation (family of curves)Get differential equation
- How to solve this using differentials to find approximate valuesWhat is the integrating factor of the differential equationAn individual improperly disposes of 8 parakeets in a nearby woodland, where they begin to reproduce at an initial rate of 3 parakeets per month. Write a differential equation for the population P assuming logistic growth, where the woodland can support at most 500 parakeets. (Do not round any coefficients.) dP/dt =