6. x³-x²-x+10 lim x-2 x² + 3x + 2

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Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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Q: 5. (y4 - 2xy) dx + 3x² dy = 0; when x = 2, y = 1.

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y² = 4 and…

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Q: In this question, consider the vectors 10 8 V1 ~- - ( ) - ~- - ( ) - - - () ---- () v2 = V3 = b and…

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Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

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A: Given: dydx=ylnx

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A: Recall:  A function can be defined as a relation between "each of its inputs" to "exactly one…

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Q: Find the area S of the shaded region in the figure if ƒ (0) = 0² + 30. Note that 0 varies from 0 to…

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Q: 2. The piecewise function g(x) is defined as follows (x+2)³ g(x) = cos(x) (x-1)²/2 if x 1. (a)…

A: Please see the below picture for detailed solution.

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Q: Sketch the region enclosed by y 7x and y = 6x². Find the area of the region.

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Q: Find the tangent plane to the equation z = - 3x² + 2y² + 4y at the point (4, 1, - 42). 2 = Check…

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

Q: I have a question about the problem solved…

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Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: lim x(√16x² + 2 - 4x) X118

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Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

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Q: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

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Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: 10. Explain what it means if a. 6 = 0

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Q: xy - Y lim(x,y)→(1,0) (x − 1)² + y²

A: Please see the below picture for detailed solution.

Q: Evaluate £¹₁7 x8 − 7 x³ + 7 x² dx. Round your answer to two decimal places. £²₁7 r8 − 7 x³ +7 r² dr…

A: Given definite integral is: ∫-11(7x8-7x3+7x2) dx