Calculus question and answers for November 28, 2023
- Q Put each fractional expression into standard form by rationalizing the denominator a 5 3 b 2 c 31 0
- Q Evaluate each expression a 323 S b 64 1 2 81 3 4 16
- Q Let f be a differentiable function of z If y f x define the differential of y dy at r
- Q 20 Sketch a graph of each equation Label all key point a 4x 9y 36 b 3y 4x 12
- Q Let f be a function of a single variable r Write the formal definition of the derivative at a Fill in each blank with the correct derivative
- Q means Let f be a function of z Write the formal definition for what it means for f to be continuous at a c Let f be a function of...
- Q Guess the value of the limit if it exists by evaluating the function at the given numbers It is suggested that you report answers accurate to at least six decimal...
- Q Evaluate the following limits If needed enter oo for 00 and oo for 00 371 11 6x a lim I H b lim I H 37T 11 6x
- Q Evaluate the limit 1 8z lim I 10 11z
- Q If 6 and y 1 25 find y 1 by implicit differentiation
- Q Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0 01 cm thick to a hemispherical dome with a diameter...
- Q sin na Hint Consider the Fouries series of the function which is equal to 1 for r a and 0 for other re
- Q e table shows the time a patient spends at the entist and the amount of the bill Bill Amount for Time Spent at the Dentist Time spent at the Bill...
- Q Consider the surface F x y z x6z8 sin y z 10 0 Find the following partial derivatives dx
- Q For the function f x 5x 4x evaluate and fully simplify each of the following f x h f x h f x h 11
- Q 1 point If z sin V dz du dz am 11 and x In u and y find the following partial derivatives using the chain rule Enter your answers as...
- Q Express the function h x Your answer is f x 1 in the form fog If g x x 3 find the function f x x 3
- Q A certain group of test subjects had pulse rates with a mean of 82 1 beats per minute and a standard deviation of 125 beats per minute Would it be...
- Q Find the exact value of sin I in simplest form I 9 V58 K 23 J
- Q Question 12 Listen The profits for a company can be modeled by the logarithmic function P t log 2t 1 With P in thousands of dollars and t in years...
- Q 1 point Find the limits if they exist or type DNE for any which do not exist 1 Along the x axis 2 Along the y axis 3 Along the...
- Q E 8 points Given r t t cos 2t sin 2t find the unit tangent and unit normal vectors T and N Then show that I and N are orthogonal
- Q Show that 2t e H t e H t e t e t H t
- Q 1 point For the curve given by r t 5 sin t 2t 5 cos t Find the unit tangent T t Find the unit normal N t Find the...
- Q The position function of a particle is given by r t 5t 5t t 4t At what time is the speed minimum
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