Viewed Questions
A car is moving with speed 20 $\mathrm{m} / \mathrm{s}$ and acceleration 2$\mathrm{m} / \mathrm{s}^{2}$ at a given instant. Using a second-degree Taylor polynomial, estimate how far the car moves in the next second. Would it be reasonable to use this polynomial to estimate the distance traveled during the next minute?
SERIES
Applications of Taylor Polynomials
Use the Alternating Series Estimation Theorem or Taylor's Formula to estimate the range of values of for which the given approximation is accurate to within the stated error. Check your answer graphically. $$\cos x \approx 1-\frac{x^{2}}{2}+\frac{x^{4}}{24} \quad( | \text { error } |<0.005)$$
Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of $ x $ for which the given approximation is accurate to within the stated error. Check your answer graphically. $ \cos x \approx 1 - \frac {x^2}{2} + \frac {x^4}{24} $ $ (\mid error \mid < 0.005) $
Infinite Sequences and Series
Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) $ a = \langle 4, 3 \rangle , b = \langle 2, -1 \rangle $
Vectors and the Geometry of Space
The Dot Product
Questions asked
Joseph David
Numerade educator
Find an equation of the set of all points equidistant from the points A(−2, 6, 4) and B(4, 2, −2).
Manisha Sarker
Write the equation of the sphere in standard form. x2 + y2 + z2 + 12x − 4y + 4z + 40 = 0 Find its center and radius. center (x, y, z) = radius
David Gaebler
Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the given approximation is accurate to within the stated error. Check your answer graphically. (Round your answers to three decimal places.) cos(x) ≈ 1 − x2/2 + x4/24 |error| < 0.0005