Evaluate the integral. L 10 x² + x + 1 (x + 1)²(x + 2)

Q: Find the gradient of the function at the given point. Function g(x, y) = ye-x Vg(0, 9) = Point (0,9)…

A: Given function: g(x,y)=ye-x

Q: akes the following function continuous on (-∞, ∞).

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Q: Use the functions below to find the given value. f(x) = x - 2 g(x) = x² | = (1)(₁_ 6+ z_ d)

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Q: Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that…

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Q: (b) Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Given the function f(x, y) = e5-2x+3y, approximate f(4.1, 0.9) using point (4,1) for (xo, yo). What…

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Q: Kindly answer this as soon as possible -Divide 20 into two parts, such that the sum of four times…

A: Use result - Function attain it's minima where derivative of the function is zero

Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x>0x2-1if x≤0

Q: z²i+xzj+ye² of the sphere x² + y² + z² Given F = 2 [[ S 50 that lies inside the cone z = √x² + y²…

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Q: Evaluate the iterated integral. π/4 cos(8) 1¹ Jo 3/² 3r² sin(8) dr de

A: Given: ∫0π4∫0cosθ3r2sinθdrdθ

Q: 9) 1 What value(s) of x makes + ed 0.91/14 4|33|4 b. 0, X x+4 = 2 true? C. d. 2√√3 3 3

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Q: 3X y 2y = 4y + 8y = 2³x + 8x² 2X <-2X Ans: y = ₁2x + ₂xe + cze -25 X -3X 2 —=== ² + x + x + 1²/2

A: This is a problem related to ODE. Based on the general formula and concept we will answer.

Q: A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of…

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: We will solve.

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: Find the general solution of the given higher-order differential equation. + 3y" + 3y' + y = 0

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We have to find a linear differential operator that annihilates the given function.

Q: Integrate f Osin-15x+C ○ -sin-¹5x + C 1 dx 1-25x2 - 5 H|K sin ¹5x + C cos ¹5x + C

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Q: 1 For the parametric curve * = find an equation for the tangent line to the curve at the point…

A: To find equation of tangent line:

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: The arc length of a given function is determined by √1+f'(2) dz Find the length of f(x)= (2/3)…

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Q: Find the area between the curves. 6/5 y=x, y = 4x 1/5 ... The area between the curves is (Do not…

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Q: Average Cost The total daily cost (in dollars) of producing a mountain bikes is given by C(x) =…

A: Given, C(x)=7000+4x+0.7x2

Q: 5) What is the horizontal asymptote of f(x)= a. y = 5 7 b. y = 2 2x-7 5x+3 c. y=-37 d. y = 5

A: The objective of the question is determine the horizontal asymptote of the given function and choose…

Q: Find the determinant. x² -Ed 2x 5x4 W(x5, x²) = = (x²)(5x4) - (2x)(x5) The Wronskian ---Select---…

A: We need to fill in the blanks.

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: se e differential equation x²y" - 6xy + 10y = 0; x², x³, (0, 00). the given functions form a…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Find the centroid (x, y) of the triangle with vertices at (0, 0), (10, 0), and (0, 2). 18 15 X=

A: Consider a triangle with vertices at (0,0),(10,0) and (0,2)

Q: 10. 2ste tds +(s²e-t - t)dt = 0

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A: Topic = Application of Derivative

Q: integral

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Q: State the range of f(x)= {v=Ry>} b. ve Rly - } 3 a. 1 3x+4 C. {v=Ry>0} d. {ve Rly 0}

A: We can find the range as below.

Q: 2. (x + y) dx + (3x + 3y − 4) dy = 0

A: The given differential equation is;  (x+y)dx+(3x+3y-4)dy=0.

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: The following table shows worldwide sales of a certain type of cell phone and their average selling…

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Q: The height of a golf ball is given by f(t) = 16t² + 86t + 1.4 where f(t) represents the height of…

A: As per the guidelines of bartleby the first three subparts of a question is answered at a time,…

Q: f₁(x) = 9, f₂(x) = cos²(x), f3(x) = sin²(x) linearly dependent linearly independent

A: Here given  functions are.  9. ,Cos2x  , sin2x

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: ∞ Determine whether the series (-1)-In -1/3 is absolutely convergent, conditionally conver- n=1

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: Evaluate the integral. X √ ² ₁x + (x + 16y) dy

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Q: Find the general solution of the given higher-order differential equation. ²y - 32y = 0 dx² X(X) 11…

A: Find the general solution of the given higher-order differential equation.

Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

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