If u and v are positive constants, find all critical points of f(t)=uet+ve−t. enclose arguments of functions, numerators, and denominators in parentheses. for example, sin(2x) or (a−b)/(1+n). t= equation editor common ω matrix ab ab ab acb π a‾√ a‾√n |a| ∪ [infinity] sin(a) cos(a) tan(a) sec(a) csc(a) cot(a) sin−1(a) cos−1(a) tan−1(a) ddx ∫fdx ∫abfdx

Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. surfaces: xsquared2plus+2yplus+2zequals=1212 yequals=33 point: left parenthesis 1 comma 3 comma five halves right parenthesis

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

The vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation