Solve the initial value problem dy = (x - 7)(y – 9), y(0) = 6. -7x dx y = Зе 2 +9

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A: Step 1:​To approximate 37​ using linear approximation:Let f(x)=3x​,a=8f(8)=38​=2f(x)=3x​Using the…

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A: Step 1: Step 2: Step 3: Step 4:

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A: To find the work done when a non-constant force of  N is used to move an object from 2 m to 6 m.

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A: Second Derivative Test Formula:If f′′(c)&gt;0, then f(x) has a local minimum at x=c.If  f′′(c)&lt;0,…

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Q: 1. Write the polar equation foreach conic. Explain your choices. Ellipse Hyperbola Parabola

A: If you have any questions let me know in comment box thankyou.

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A: The given function equation is

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A: To find the unit tangent vector  and the prinipal unit normal vector .

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Q: Q1 C7

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Q: Show that the stationary paths of this parametric functional are given by the solutions of the…

A: Final answer of the given question is attached in the explanation section.Explanation:

Q: 10 17 sin(3x) + -π < x <π. " #3: Suppose that f(x) is the sum of the Fourier series f(x) = sin(nx) =…

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Q: Use the quotient rule to find the derivative of the function. y' = (Simplify your answer.) 2 y= 7x-6

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Q: 1. Circumference of a circle: Consider the polar equation r = 2Rsine. Sketch the graph, identify the…

A: 1. Circumference of a circle.

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A: To choose the graph of a function  with the property that .

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A: Given points: (10, 19000) and (9, 23000)Calculate slope m: (23000−19000)​/9-10=−4000Use slope m and…

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A: Given: To Find: To find the area of the region bounded by the graph of , the x-axis, and the line .

Q: #3: Suppose that f(x) is the sum of the Fourier series 4+6n = f(x) + Σ sin(nx) n=1 1+n² +5 sin.x +…

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Q: 20 Σ 24 1822 i=1 8 + 323 4 - 3r² + 15 5 12

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A: Step 1: for part (a) exact value is calculated in part (b)   Step 2:(P'(7) can be approximated as…

Q: == 6. Set up the integral that finds the area enclosed by the curves r = 0.5y2-3 and x = y + 1, then…

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Q: Given the definite integral

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