The graph C' of the equation y = gives the course taken by an oil tanker after leaving port, which is taken to be located at the origin of a coordinate system. Find the distance traveled by the tanker when it reaches a point on the course that is located 4 miles to the east and 2 miles to the north of the port.

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A: In this question we have to find f(x).

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A: Topic:- differential equation

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A: To solve the given differential equation

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A: We have to find K by determinant.

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A: Equation of line

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A: Here we have to solve the given differential equation

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A: Topic = Geometry

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A: The given equation is  y=x2-4x-1.

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Q: 1. Let f(x) be the cubic function graphed below and g(x) be the quadratic function graphed below.…

A: From the given graph of the region, we have to find its area

Q: 1. Evaluate the given integral Q. Q ГСГ (2x − 2) dz dy dx 3x 0 2. Give the (upper, lower, lateral)…

A: We need to set up integral.

Q: Points: A(2,1,-1), B(-3,0,1), and C(1,4,0) a.) find parametric equations of line that passes…

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Q: 10. Find the indicated limit. x²5x - 14 lim x→7 x - 7 Show any work necessary

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Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)

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Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

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Q: (9x-4y+4)dx-(2x-y+1)dy=0

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Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

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Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 12.1435 B) 13.1435 12.7834…

A: The region bounded by y=ex, y=ln x, x=e, the x-axis and the y-axis.

Q: Let A, B, C be arbitrary finite sets from the same universal set U. - (a) Is it true that A - B C (A…

A: SOLUTION-

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Q: L-1 4s - 10 2 S s² + 25

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Q: Find the order and degree of e^y" - 3(y¹)² + 2xy = xe² and write the differential equation in noxmal…

A: Follow the procedure given below.

Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

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Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

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Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2

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Q: Problem 2: ( 3) Starting with the graph of y = e, find the equation of the graph that results from…

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Q: A fabric wholesaler, The Dynamic has fixed the cost of $3,200 and a production cost of $12 for each…

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Q: 2) Sketch the solid whose volume is given by the integral  and evaluate the integral. ∫0 to pi/2 ∫0…

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Q: If 0 = 0 and R = 7√2, then F₂ = 2

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Q: 3. Find the inverse of the function: ƒ (x) = 4x² − 5

A: The answer is given below:

Q: Exponential and Logarithmic Functions 11. Use the properties of logarithms to fully expand the…

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Q: Find the average value of f(x) = sin³ x cos³x on the interval [0,1].

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Q: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region.

Q: Q5: If y=tant and x = cost then at t= is (not that these functions in N) dx a) -1 b) 0 c) d) 1 e)…

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