Questions asked
If g(x)=\sqrt(2-3x) use the definition of derivative to find g^(')(x). None of these g^(')(x)=-(2-3x)^(-(1)/(2)) g^(')(x)=-(3)/(2)(2-3x)^(-(1)/(2)) g^(')(x)=-(3)/(2)(2-3x)^((1)/(2)) g^(')(x)=-(1)/(2)(2-3x)^(-(1)/(2))
The __________ circulation drains all of the organs of the digestive system. peritoneal splanchnic visceral hepatic portal
ECE 320 Homework No3 R. Roosta Problem 1: Express the following functions in their canonical S.O.P and P.O.S form: 1. F (A, B, C, D) = D (A'+B) +B'D 2. F (A, B, C) = (A'+B) (B'+C) 3. F (X, Y, Z) = (XY+Z) (Y+XZ)
6. Assume that we have a tank filled with 10 gal of polluted water containing 10 lb of dissolved pollutant. We start running polluted water at 1 gal/min rate with constant pollutant concentration 1 lb/gal into the tank. At the same time we start to empty the tank with constant outflow rate 2 gal/min. Assume that we keep the contents thoroughly mixed. For the next 10 minutes give the fluid volume $V(t)$ in the tank as a function of time, the pollutant content of the tank $y(t)$, and the pollutant concentration in the tank $c(t)$. (You need to form and solve an initial value problem to determine some of these functions.)
64. A point is reflected in the x-axis. The reflected point is (2, 1). a. What is the original point? b. What is the distance between the points? 65. A point is reflected in the y-axis. The reflected point is (-3, 2.5). a. What is the original point? b. What is the distance between the points? Chapter 7 - Equations and Inequalities Write the word sentence as an equation. 66. 67. 4 is the quotient of 16 and a number $n$. The sum of a number $k$ and 5 is 11. Describe and correct the error in solving the equation. 68. X $13 + m = 56$ $+13$ $+13$ $m = 69$ 69. X $27 = n - 15$ $-15$ $+15$ $12 = n$
The second directional derivative of $f(x, y)$ is $D_u^2f(x, y) = D_u[D_uf(x, y)]$. If $f(x, y) = x^3 + 5x^2y + y^3$ and $u = \begin{pmatrix} 3/5 \\ 4/5 \end{pmatrix}$, calculate $D_u^2f(2, 3)$. $D_u^2f(2, 3) = 80.3$
If $15,000 is invested in an account for 30 years. Calculate the total interest earned at the end of 30 years if the interest is: (a) 7% simple interest: $ 31500 (b) 7% compounded annually: $ 114183.825690 X 99183.83 (c) 7% compounded quarterly: $ (d) 7% compounded monthly: $
Evaluate the following integral.\\ $\int \sin^{2} 28x \, dx$\\ $\int \sin^{2} 28x \, dx = $\\ (Type an exact answer. Use parentheses to clearly denote the argument of each function.)
Question 5: Power generation for a hydropower plant is expressed as P=qQH. Explain what H is and what is taken into account when H is determined. Then show a numerical example how H is calculated and provide a sketch marking all relevant variables and numbers.
Which of the following antifungal agents is known to cause significant nephrotoxicity and ototoxicity? 01. Caspofungin 02. Amphotericin B 03. Fluconazole 04. Nystatin
