28. (2A + B²)4

Q: Understand Properties of the Cross Product Find the Vector Orthogonal to Two Given Vectors Need a…

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Q: (a) f(x) = 2x³ - 3x²-12x+1 on [-2,3]

A: As per our guidelines we are allowed to solve only one complete question. Kindly repost others.…

Q: Differential Equations d³y(t) ·x(t) dy(t) + y(t) = 0 dt³ dt Linear or Non-Linear Constant or…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A hamster "runs in place" on a circular treadmill, causing the treadmill to rotate at constant…

A: Number of revolutions in 4 seconds = 1 Diameter = 4 inches

Q: Estimate using the linearization L(x) of f(x)=√√ at a = at a = 49. (Use decimal notation. Give your…

A: Given that , fx=1x Estimate 152 using the linearization Lx of fx at a=49.

Q: Solve the differential equation = y²ex dy dx

A: Given, dydx=y2ex

Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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Q: A $360,000 building depreciates over time. The value y of the building after x months of use is…

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Q: 3. Use the variation of parameters method to find the general solution of the following Des 2ex ex +…

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Q: (b) Illustrate part (a) by graphing the curve and the tangent line on a common screen. (Graph the…

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Q: A population of bacteria grows to twice its original amount in 3 hours. How long will it take to…

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Q: Differentiate y = ex+2 +9.

A: Given function is y=ex+2+9 We need to find the first derivative of the given function.

Q: Find the derivative of the function. Simplify if possible. y = arccos (e³x) y' =

A: Solution : Given that

Q: Find the curvature K of the curve, where s is the arc length parameter. r(0) = (1 - V✓⁄² s)i - (1 –…

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Q: The lapse rate is the rate at which the temperature decreases in the atmosphere with respect to…

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Q: 4. y" -10y +34y = -cos3x

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

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Q: 11-14 Find the differential of each function. 11. (a) y = xe-4x (b) y=√1-14

A: Solve the given

Q: The position of a free-falling object is given by s(t) = -4.9t² + vot + so where s(t) is measured in…

A: Note : As per our Guidelines , we can solve first three subparts .Please repost remaining subparts .

Q: -10 Describe the x-values at which the graph of the function f(x) = given below is differentiable.…

A: see below the answer and explanation

Q: ind the linearization at x = a. 14x² x - 3' Jse symbolic notation and fractions where needed.) g(x)…

A: We have to find the linearisation

Q: Find an equation of the level curve of the function z(x, y) = ey (x² + y2) that passes through the…

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Q: Evaluate a multi-variable function Let f(x, y) = √√150 - 2x² – 4y², and evaluate f(1, 0). Please…

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Q: The

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Q: Find the PS for (x²y" + 2xy' - 12y = 0 y(1) = 1 y'(1) = −1

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: 'there exists ad > 0¹ from the epsilon-delta definition of the limit? O there is a positive distance…

A: we will find the required.

Q: Solve (y + 2xy³) dx + (1 + 3x²y² + x)dy = 0. Select one: O a. xy³ + x³y² + y = c O b. xy + x³y² + y…

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Q: Find the tangent plane to the equation z = - 2x² + y² + 4y at the point (4, 4, 0). 2=

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Q: X = 8 At the end of your work, sketch the graph of 5 x²¹ 2. y 8x8 and 1. y = 3. The tangent line at…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves X = = -3y²…

A: Given that the region x = -3y2 + 12y - 9 and x = 0

Q: Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 9 assuming that a(9) =…

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Q: Evaluate the following integrals using substitution(s): Might want to use your own paper 1. S - x²…

A: According to guidelines we can solve only first question .solution:-(1)∫x31-x2 dxlet 1-x2=t,…

Q: For y = ln(x7 + 3x - 9), to find y' would require the chain rule. If y = f(g(x)), find an f(x) and…

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Q: y-values 9 8+ 7+ 6- 4 3- 2 1 2 3 x-values 4 5 y-values 4- 3 2- 14 h(x) 1 2 3 x-values 5

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Q: Find the linearization at x = a. 9x² x-3,9=11 (Use symbolic notation and fractions where needed.)…

A: We can find the Linearization function in the below steps using the given datas.

Q: (a) Find the differential dy. 2 y = √√√3+x² dy: = (b) Evaluate dy for the given values of x and dx.…

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Q: Find a vector orthogonal to both (2,3,0) and to (0,3,4) of the form. 41,0, 07 for olmas

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Q: Find the integrating factor (3x²y-x²) dx + dy=0 Select one: 0 а. ex O b. O C. e-x² Od era O e.

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Q: Find the directional derivative of f(x, y) = √xy at P(7, 7) in the direction from P to Q(3, 4). Duf…

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

A: The given data is: A population of particular yeast develops with a constant growth rate of 0.4321…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: 27-30 Compare the values of Ay and dy if x changes from 1 to 1.05. What if x changes from 1 to 1.01?…

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Q: り wh

A: Given s(t) = 2t3 - 92t2 - 40t + 3 let velocity function = v(t)

Q: -1 y 3 2 (1, e) y = ex (1, 1) y = x¹ 1 2 3 X

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Q: Find the volume of the given solid. Diag 47 12 under the plane x - 2y + z = 5 and above the region…

A: The solid is under the plane is x - 2y + z = 5 and above the region bounded by x + y = 1 and x2 + y…

Q: 7. f(x) = 0.2 sin²x - cos 2x, 0≤x≤ T

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Q: b. If the surface area of the rectangular box is 24 square feet, find dy when x = dx 2 feet and y =…

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Q: 6x g(x) = -5x8 + (a) | 19 (1) a (b) 1 g(a) (c) g(√a)

A: Given query is to perform indicated function operations.

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface x =…

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Q: Find Vectors and Perform Vector Operations in R³ Vector 7=(2, 0, − 1) has initial point (-9, 7, 3).…

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