Questions & Answers
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- Solve the Quadratic Equation 4x²-5x-12=0
- Find dy/dx and d²y/dx². For x = et, y = te−t [Solved]
- Evaluate the Surface Integral. S = $\int$ x2z + y2z ds. S is the hemisphere and x2 + y2 + z2 = 9, z ≥ 0
- Evaluate the line integral where c is the given curve.
- A hurricane wind blows across a $6.00 \,m\times 15.0\, m$ flat roof at a speed of $130\, km/h$. Is the air pressure above the roof higher or lower than the pressure inside the house? Explain.
JUMP TO TOPICExpert AnswerNumerical ResultExampleSolution The roots for the given quadratic equation are x1 ≈ 2.46625 and x2 ≈
![Feature Image Find dydx and d²ydx². For x = et, y = te−t [Solved]](https://www.storyofmathematics.com/wp-content/uploads/2023/11/Feature-Image-Find-dydx-and-d²ydx².-For-x-et-y-te−t-Solved.png)
JUMP TO TOPICExpert AnswerNumerical ResultExampleSolution The first derivative dy/dx gives us the rate of change of y with respect to x
Calculate the surface integral over a hemisphere defined by $x^2 + y^2 + z^2 = 9$ and z ≥ 0, with the integrand $x^2z + y^2z$. Using spherical
The aim of this question is to learn how to solve line integrals over some closed surfaces. To solve this question, we
What is the pressure difference? How much force is exerted on the roof? If the roof cannot withstand this much force, will it “blow in”