Find a function y = y(x) that has a y-intercept at (0, 4), a horizontal tangent...

Find a function y = y(x) that has a y-intercept at (0, 4), a horizontal tangent line at the y-intercept, and satisfies the differential equation y''-10y'+25y=0.

Expert Solution

milcah answered 2 years ago

For the function y = -x2/3-x a) Find the slope of tangent at x=4 b) find...

For the function y = -x2/3-x a) Find the slope of tangent at x=4 b) find y''

Find y as a function of x if y′′′−11y′′+30y′=0 y(0)=7, y′(0)=9, y′′(0)=4.

Find y as a function of x if y^(4)−6y′′′+9y′′=0, y(0)=7, y′(0)=11, y′′(0)=9, y′′′(0)=0.

Find y as a function of x if y''''−4y'''+4y''=−128e^{-2x} y(0)=2, y′(0)=9, y″(0)=−4, y‴(0)=16. y(x)=?

Find y as a function of x if y(4)−12y‴+36y″=−512e-2x y(0)=−1, y′(0)=10, y″(0)=28, y‴(0)=16 y(x)=

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the ...The y-intercept is (0, 1). There is no x-intercept. Degree is 4. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

The y-intercept is (0, 1). There is no x-intercept. Degree is 4. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

Find the green's function then find the solution y"+4y=x y(0)=0, y'(1)=0

4. The joint density function of (X, Y ) is f(x,y)=2(x+y), 0≤y≤x≤1 . Find the correlation...

4. The joint density function of (X, Y ) is f(x,y)=2(x+y), 0≤y≤x≤1 . Find the correlation coefficient ρX,Y . 5. The height of female students in KU follows a normal distribution with mean 165.3 cm and s.d. 7.3cm. The height of male students in KU follows a normal distribution with mean 175.2 cm and s.d. 9.2cm. What is the probability that a random female student is taller than a male student in KU?

Find y as a function of x if y′′′+25y′=0 y(0)=2, y′(0)=20, y′′(0)=−100 y(x)=

For each function, find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal...

For each function, find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal asymptote. 19. p(x)= 2x-3/x+4 21. s(x)=4/(x-2)^2 24. g(x)= 2x^2 +7x - 15/ 3x^2- 14+ 15 26. k(x)= 2x^2- 3x- 20/x-5

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