Questions asked
Find the derivative of the given function.\ f(x) = (2x^2 + 23x)(16x + 4x^3)
<HW2 - Attempt 1 Problem 2.72 Part A Two forces $F_1$ and $F_2$ act on the screw eye. The resultant force $F_R$ has a magnitude of 175 lb and the coordinate direction angles shown in (Figure 1). Determine the magnitude of $F_2$. Express your answer to three significant figures and include the appropriate units. $F_2$ = Value Units Submit Request Answer Part B Determine the coordinate direction angle $\alpha_2$ of $F_2$. Express your answer using three significant figures. $\alpha_2$ =
Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically.\ f(x) = 3x, g(x) = 2x^2, h(x) = 8x - 28x^2\ Enter the non-trivial linear combination.\ (16)3x + \boxed{}2x^2 + \boxed{}(8x - 28x^2) = 0
Q 5 (14 points): Let $F(x, y) = (\frac{-y}{x^2 + y^2}, \frac{x}{x^2 + y^2})$. (a) Show that $\frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x}$ (b) Show that $\int_C \vec{F} \cdot d\vec{r}$ is not independent of path [Hint: Compute $\int_{C_1} \vec{F} \cdot d\vec{r}$ and $\int_{C_2} \vec{F} \cdot d\vec{r}$, where $C_1$ and $C_2$ are the upper and the lower halves of the circle $x^2 + y^2 = 1.$] (c) What can you conclude about the conservativity of the vector field F. Justify your answer. (d) Show that $\int_C \vec{F} \cdot d\vec{r} = 0$, for every any circle C of radius $r > 0$ not containing the origin.
It is given that \overline{AB} has length 20 inches and \overline{DB} has length 4 inches. What is the length, in inches, of \overline{BC}? Round your answer to the nearest hundredth. The length of \overline{BC} \approx inches
10. Find the 7th decile of the given scores: 3, 5, 8, 12, 15, 16, 20, 20, 22 A. 15 B. 16 C. 20 D. 22
1 The counter shows the number of registered voters in the United States. Counter 153,870,264 What is the value of the digit 8 in this number? A 800,000 B 80,000 C 800 D Not here
IV. ?I?M – ???NG TH?NG Bà i 1:V? ???ng th?ng $d$, V? các ?i?m th?a mãn yêu c?u: $M \in d$, $N \notin d$, $P \in d$, $Q \in d$
(1 point) Find the angle in radians between the planes $-3x + z = 1$ and $-3y + z = 1$.
Given a curve in space: r(t) = 3t^2 - 3t^8j + t^4k, 0 ≤ t ≤ 2. 1. Find the arc length function s(t). 2. Find the arc length from t = 1 to t = 2. 3. Rewrite r(t) as r(s) using the natural parameter s (or arc length function s(t)). 4. What is its unit tangent vector T? (Hint: use the natural parameter r(s) for the rest of the questions)
