Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) f(x) = x²e-9x relative minimum (x, y) = relative maximum (x, y) =

Q: What is / 3d x? S 3dx = 3x + C / 3dx = 3x / 3d x = – 3x+ C S 3dx = – 3x² + C

A: here we need to find the anti derivative of given function. the solution is following.

Q: 2.) Relative Frequency, Cumulative frequency, Cumulative percentage Complete the table find the…

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Q: Find all singular points for the differential equation (x³+25 x)y"+sin(x) y'-x² Y3D0 { 0,4 i, - 4 i}…

A: Consider the given differential equation, x3+25xy''+sinxy'-x2y=0 the general second-order ordinary…

Q: The diameter of deoxyribonucleic acid (DNA) molecule is about is about 20 angstroms. Express this…

A: Diameter of molecule= 20 angstroms.

Q: A marketing expert for a pasta-making com- pany believes that 40% of pasta lovers prefer lasagna. If…

A: Given: n= 20 ,x= 9.0 p= 0.4 ,significance level(∝)= 0.05 p̂= 9.0 / 20

Q: 是 Suppose the differential equation = 2x²-1 where y(0) = 0. dx 8) Create a slope field the…

A: To plot the slope field for the differential equation of the form y'(x)=f(x) recall the following…

Q: xp£ (х — 4)3

A: Given: I=∫xx-43dx For evaluating given integral, we substitute x-4=t…

Q: 2 3) Find the general solution to y' = sec x. 4) Find the particular solution to y' = sec x tan x…

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Q: A financial institution is willing to lend you $400. However, $450 is repaid at the end of one week.…

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Q: (-6+2i)) Simplify: (Co2) (1-8i)

A:

Q: 16. If the distance increases by 100 kilometers, the expected increase of shipping cost is closest…

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Q: Q2) (First order linear equations) Let p(t) be the population of a species at time t. The population…

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Q: Question 3 f (z) = (x- 1) (x - 8)2 Find f (-1)

A: Solve f(-1)

Q: 6 1) Find the general antiderivative for f(x) = 1+ x?

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Q: For the slope field shown, which could be a family of anti-derivatives? y -6.28 6.28 O y = – cos x +…

A: Given slop field is Now we check all options one by one.   option 1: Given y=-cos(x)+C…

Q: Team Salary Year Stadium Attendance League |($ mil) mil Home Rur BA Wins ERA Opened mondbacks…

A: The given data set is:

Q: 7. Solve: 3 = 2 x-1 + 5 x+1

A:

Q: What is / (7)* dx? S{(7)* dx = 7*-2 + C 2(In 7) S {(7)* dx = 7* + C (In 7) S{(7)* dx = + C 2(In 7)…

A: Explanation of the answer is as follows

Q: Use separation of variables to find the product solutions for the given partial differential…

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Q: Consider the boundary value problem y" + y' = b. — 2x^2, У(0) %3D1, У (0.75) — 2.5 i. Derive a…

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Q: Q5) (Higher order linear equations, Undetermined coefficients) i) Find the general solution of the…

A: The characteristic equation is:  r5-2r4+10r3=0r3r2-2r+10=0r=0, 1±3i

Q: 1. Solve the given differential equation. (a) x²y" - 2y = 0 (b) x²y"+y' = 0 (c) x²y" + xy' + 4y = 0

A: x2y''-2y=0 Note: There is multiple question multiple subparts, according to the guidelines we are…

Q: Find the Fourier transform of f (t) = t 1<t<∞

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Q: What is / 2sec²y dy? S 2sec?y dy = 2 sin (y) + C S 2sec²y dy = -2 tan (y) + C S 2sec²y dy = – tan…

A: Please see the answer below.

Q: 11. Solve 6 3x = 10

A: need to solve the given equation.

Q: Simplity expressiou. and' show ansewes ! postrve exponents neuts 81x-1) (雲) 3-1 (7) (2g")° 2(0)

A: Here in this question there are multiple question and we solve it general mathematics. We know that…

Q: dy = x? - 2x at the indicated points. dx 7) Sketch a slope field for the differential equation dy 8)…

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Q: Show that (a X b) b = 0 for all vectors a and b in V3.

A: Show that :     (a×b). b =0 for all vector a and b in v3