If you know that Q(x) is a quadratic function and that Q(5) = 10, Q(8) = 11 and Q(1) = 9 then: 1 Q(x) (x - 5)²(x − 8) - dx =

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A: The given differential equation is

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A: As we can see from the graph, the function has a very sharp turn at x=0So at x=0, the function is…

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: [120 0230 0 0 2] O [1 20 240 0 0 2] [1 -20 -250 0 0 -2] [200 012 025]

A: The given matrices are

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A: y=1/[3sinx+2cosx]Point (0,1/2)

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Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: 11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot…

A: A farmer wants to fence off a rectangular plot of ground with area 3000 ft2 and divide the plot into…

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A: A.1+6+622!+633!+644!+⋯+6nn!+⋯

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Q: Find the tangent plane and normal line to In X 2y = z²(x-2y) + 3z +3 at (4, 2, -1).

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Q: The first three terms of an arithmetic progression are 2x, 5 and 6 – x.(i) What is the common…

A: The objective of the question is to find the common difference, the 9th term, and the sum of the…

Q: Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

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Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above and…

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Q: f(x) = ln(x)

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

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Q: The Taylor series for f(x) = e² at a = 3 is Σen(x − 3)". n=0 Find the first few coefficients. Co C1…

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Q: An equation of the ellipse is

A: Given that the graph of the ellipsewe have to find equation of the ellipse

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A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

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Q: Use the formula f'(x) = lim Z-X f(x)=x²-x+4 f'(x) = f(z)-f(x) Z-X to find the derivative of the…

A: we need to find f'(x)

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A: Given that the expression we have to find the limit as x approaches 0

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A: Let x feet  distance from the fence in the dead center to third base The given figure

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Q: Find two positive numbers whose product is 100 such that the sum of the first and four times the…

A: Find two positive numbers whose product is 100 such that the sum of the first and four times the…

Q: me limit definition of the derivative to find dx for f(x) = √-4x.

A: Given that the expression

Q: 9. Calculus - Taylor Expansion If f(x) = 1/x, what is the leading coefficient of the 12th Taylor…

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Q: 2. Σ. 1 (-5) 2n n2gn

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Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

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Q: Solve the initial value problem 8y" - 2y' - y = 0, subject to y(0) = -0.2, y'(0) = -0.325.

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Q: y² 7. Use a double integral to find the area between x = 2y and x = 3 Sketch this region.

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Q: f(x) = −x+10 g(x) = x² − x − 11

A: Given that the function

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Q: e Six dx xX (1+lux)

A: We use the method of substitution to evaluate the given integral

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Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

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Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² − 2xy+3y² − 3 x…

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Q: Find the general solution of the homogenous differential equation 9y" - 30y' + 25y = 0.

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Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY…

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