A child who can think about hypothetical situations and abst…
Questions
A child whо cаn think аbоut hypоtheticаl situations and abstract concepts would be in which stage of Piaget's theory?
Which оf the fоllоwing аre chаrаcteristics of a revocable living trust that transfers all of a person’s assets at death? I. It allows trust assets to receive a stepped-up basis at the grantor’s deathII. Trust assets will be included in the grantor’s gross estateIII. It ensures protection of trust assets from the claims of the grantor’s creditors during lifeIV. Trust assets will be included in the grantor’s probate estate
Uplоаd yоur sоlutions to questions 6,7,8, аnd 9 to Grаdescope (do not submit any files through Canvas as they will not be graded.)(15 points) Part (c) is unrelated to parts (a) and (b).(a) Consider the vector field (vec{F}(x,y) = langle ye^x+sin(y), e^x+xcos(y)+2y rangle). Is the vector field conservative? If it is find a potential function for (vec{F}).(b) Using your answer from part (a), evaluate the work done by (vec{F}) in moving a particle along any smooth curve C from the point (0,1) to the point (2,(pi)). (c) Evaluate the line integral (displaystyle int_C (x+y+z) ds), where C is the curve given by (vec{r}(t)=langle sin(t),cos(t),t rangle), for (0leqslant t leqslant pi).
Uplоаd yоur sоlutions to questions 6,7,8, аnd 9 to Grаdescope (do not submit any files through Canvas as they will not be graded.) (15 points) Parts (a) and (b) are distinct from each other. (a) Use Stokes' Theorem to evaluate (displaystyle int_C vec{G} cdot dvec{r}), where (vec{G}(x,y,z)= langle z^2,y^2,xy rangle) and C is the triangle with vertices (1,0,0), (0,1,0) and (0,0,2) oriented counterclockwise as viewed from above. (b) Consider the solid region E enclosed by the cylinder (x^2+y^2=4) and the planes z=0 and z=1. Use the Divergence Theorem to evaluate (displaystyle iint_S vec{F} cdot dvec{S}), where (vec{F} (x,y,z)= (xy^2+e^{-z^2})vec{i}+(x^2y+arctan(xz^2))vec{j}+(x^2y^2+x^2z^2+y^2z^2)vec{k}), and S is the boundary of the region E. PLEASE READ THE INSTRUCTIONS BELOW CAREFULLY: During the last 15 minutes of the countdown timer, you are only allowed to submit your exam, you are not allowed to work on the exam. Prior to submission, you are REQUIRED to hold up each of your exam solution pages in front of your webcam so that the electronic version submitted can be validated to be a match to the paper you worked on. Please hold each page up for a minimum of 10 seconds so that a snapshot can be grabbed. Only in case you are not able to submit on Gradescope, submit a single .pdf file with your solutions below and notify Professor Nikolaou. Do not submit any files on any other questions or email files to Professor Nikolaou. DO NOT CLOSE THE CURRENT HONORLOCK SESSION UNTIL YOU HAVE SUBMITTED YOUR SOLUTIONS ON GRADESCOPE. SUBMITTING ANY SOLUTIONS ON GRADESCOPE AFTER THE HONORLOCK SESSION HAS ENDED CONSTITUTES AN ACADEMIC HONESTY VIOLATION AND WILL BE DEALT WITH ACCORDINGLY.