1. Double Integral Applications 1a. Finding the Area of a Region Given the equations of two curves y = x² and y = 2x, perform the following tasks: i. Draw the region bounded by the given curves. ii. Use a double integral to find the area of the region.

AND AGAIN...LETS GO AGAIN... I CAN NOT READ IMAGES.. STOP RESPONDING WITH IMAGES/GRAPHICS. IS THAT MORE COMPLICATED THAN THIS MATH? PLEASE RESPOND IN TEXT...THE LITERAL CHARACTERS YOU ARE READING RIGHT NOW.   UNIVERSITY OF PHYSICS 24.55     In (Figure 1), C1C1C_1 = 3.50 μFμF and VabVabV_ab = 160 VV. The charge on capacitor C1C1 is 150 μCμC and the charge on C3C3 is 450 μCμC. Figure 1 of 1 Part A What is the value of the capacitance of C2C2? Express your answer with the appropriate units.       Part B What is the value of the capacitance of C3C3? Express your answer with the appropriate units.         THE FIGURE DESCRIPTION GIVEN:   A circuit consists of 3 capacitors.The circuit  has endpoints A and B, and is divided into 2 parts by point D. C_1 and C_2  are connected in parellel between points A and D. Capacitors c_3 is located between points B and D.   THAT IS IT. you literly don't get ANY MORE INFORMATION THAN THAT. So don't  reject me again for that lie and please don't…

Please do all given a to d

Determine the differential equation for the following mechanical system

You have developed an idea for using a poly Si surface‐ micromachined cantilever. Initially, you designed a process flow for creating this simple structure, and the process flow is detailed in the figure below. ( cross section view and top view)There are several critical errors with this process (things that won’t work or won’t produce the result). Please find the critical errors in this process flow and, where possible, suggest alternate approaches. Do not worry about the accumulation of errors, but rather treat each step assuming that the structure up to that step could be created.This structure is actually quite simple to make. Develop a simpler process flow and associated masks to create the final structure. Be sure to show cross‐sectional and planar views of all key steps in the process.

Goal:The intent of this problem is to understand how electrostatic models can be used outside of electrical engineering. This basic model is used to understand chemical reactions, bonding, and other forms of atomic processes. It also shows you the strength of electrostatic forces in an atom. The Thomson model of a hydrogen atom is a sphere of positive charge with radius Ro with an electron (a point charge) at its center. The total positive charge equals the electronic charge q. What is the force of attraction between an electron at a distance R from the center of the sphere of positive charge? OOOO qR 4π€, Ro O q²R 3πEO q²R 4π€, Ro

*10. A moving particle encounters an external electric field that de- creases its kinetic energy from 9520 eV to 7060 eV as the particle moves from position A to position B. The electric potential at A is -55.0 V, and the electric potential at B is +27.0 V. Determine the charge of the parti- cle. Include the algebraic sign (+ or -) with your answer.

1. A thin rod of length W has uniform charge per length A. Find the electric potential (voltage) at the position P as shown. Assume V = 0 at r = o for problems on this worksheet. Use the integration variable u as defined in the diagram to write the voltage at point P. Include the limits of integration but you do not need to evaluate the integral. P Hint: break up the rod into small pieces of length du and use the point charge formula for the voltage due to the small piece dV = Kdq/r with dą and r written in terms of the givens à, L, z and integration variable u and du. W 3 du 0.

electromagnetic field)I want a detailed solution because my teacher changes the numbers. I want a detailed solution. Understand the solution

A cylindrical solenoid 49 cm long with a radius of 7 mm has 325 tightly-wound turns of wire uniformly distributed along its length (see the figure). Around the middle of the solenoid is a two-turn rectangular loop 3 cm by 2 cm made of resistive wire having a resistance of 135 ohms. One microsecond after connecting the loose wire to the battery to form a series circuit with the battery and a 20  resistor, what is the magnitude of the current in the rectangular loop and its direction (clockwise or counter-clockwise in the diagram)? (The battery has an emf of 9 V.)