Calculus question and answers for November 12, 2023
- Q 2 f x y z 3x 3y z x Type an exact answer using radicals as needed
- Q dy Find by implicit differentiation dx 19xe 20 dy
- Q for the equation xy 5 using implicit differentiation dx Find
- Q The curves r t 4t t t and r t sin t sin 2t 5t intersect at the origin Find their angle of intersection 8 correct to the nearest degree...
- Q of af For the function f x y sin 8x 4y find and ax dy of
- Q Verify that wxy Wyx for w In 5x 8y
- Q Find by implicit differentiation dy dx x5 y5 27 dy 11
- Q 14 Find the length and width of a rectangle that has perimeter 48 meters and a maximum area
- Q 2 A conical tank with vertex down is 18 feet across the top and 22 feet deep If water is flowing into the tank at a rate of 18 cubic...
- Q dy Find by implicit differentiation dx 7 x 8 y 21 dy
- Q Find by implicit differentiation dy dx 10xey 7 dy dx
- Q dy Find at the given point dx 5x y 8 x 8y at 0 1 dy The value of at 0 1 is dx
- Q Find dy dx X at the given point 3 5 at 1 1 The value of dy dx at 1 1 is
- Q Find by implicit differentiation dx 11x 13 ey Hy
- Q dy Find for the equation 7x 4y 1 using implicit differentiation dx dy dx
- Q Find the limit Let g and h represent arbitrary real numbers If the limit is infinite enter or lim x gx x hx
- Q Find dy dx by differentiating implicitly When applicable express the result in terms of x and y 6x 5y 7 dy dx II
- Q farmer has 1800 m of fencing and wants to enclose a rectangular field bordering a river with no fencing needed along the river Let x represent the width of the...
- Q The graph of g is given below Use the graph of g to determine the derivative of g at x 10 9 8 7 6 5 4 3 2 11...
- Q If 0 is in the third quadrant and sin 8 5 what is cos 0 3 Determine your answer without using a calculator Rationalize the denominator if necessary cos 1...
- Q For the following exercises find in polar form 29 21 21 cis 135 3 cis 65 30 2 cis 90 2 cis 60 15 cis 120 3 cis 40 6...
- Q 7X3 Step 1 dy 9 21x 0 7X ay ax 7x32 Step 2 0 189 X 7x332 Step 3 27 7x4 189x 7832
- Q Test if the following series is conditionally convergent absolutely convergent or divergent 6 Test if the following series is conditionally convergent absolutely convergent or divergent o a n 1 o...
- Q Use implicit differentiation to find dy dx www y cos xy 2y x cos xy Question Help T dy dx Massage instructor given the equation sin xy y X
- Q The graphs of f solid and g dashed are given below Let h x f g x and k x g f x 6 5 43 2 1 16 4...
- Q Draw the following graph on the interval 345 x 0 y cos x 170 200 100
- Q 5 We define the Laplace Transform of a function f t as follows f t est f t Use the above definition to prove that at f t dt c...
- Q Find the value of the derivative if it exists at the indicated extremum If an answer does not exist enter DNE 2 10 3 9 f x 5x x 1...
- Q 0 89 Points DETAILS Consider the following graph Domain 6 Range 4 2 y 6 4 2 41 2 4 State the domain and range of the graph in interval...
- Q Sketch the graph of a function f that is continuous on 1 8 and has the given properties Absolute maximum at 3 absolute minimum at 8 7 is a critical...
- Q Question 6 If f u f u 4 u Cos v v2 dv then
- Q 2 Is the piecewise function CONTINUOUS Is the function DIFFERENTIABLE everywhere over its domain Why or why not Explain in words and include algebraic justification Hint Consider all areas in...
- Q Use separation of variables with 16 to find a product solution to the following partial differential equation du 0 that also satisfies the conditions 0 0 9 and 0 0...
- Q 5 Using the 2nd Derivative Test given below find the local extremas or saddle point of f x y x 4xy y THEOREM 11 Second Derivative Test for Local Extreme...
- Q 1 Let F t cost tsint i a Use the formula K sint t co 1 dr dt to find the curvature dll 15p ADEL
- Q 3 Let f x y xy 1 xy a Find linearization L x y zo f P x x f P y y at the point P 1 2 2...
- Q 2 a Let f x y arctan x y and Duf P Vf P Find the direction cos 0 7 sine for which Duf 0 1 2 15p
- Q Cost revenue and profit rates Suppose that for a com pany manufacturing calculators the cost revenue and profit equations are given by C 90 000 30x R 300x 30 P...
- Q Problem 48 Use the price demand equation to determine whether demand is elastic inelastic or has unit elasticity at the indicated values of p x f p 1 875 p
- Q The radius of a spherical balloon is increasing at the rate of 3 centimeters per minute How fast is the volume changing when the radius is 10 centimeters Refer to...
- Q Match the equation with its graph x 6z 1 x ix y
- Q Find the derivative r t of the vector function r t tan 8t sec 7t tan 8t 1 2 r t
- Q For the following quadratic complete the square to turn it into its vertex form f x 2x 12x 6
- Q Find the marginal revenue function R x 2x 0 06x
- Q Consider the equation f x x 4 7 Identify the parent function and describe ALL the transformations shifts stretches etc 3
- Q Differentiate y sec 0 tan 0 y sec 0 sec 0 tan e
- Q Differentiate the following function 2x 5 x 4x y
- Q 6 Use Logarithmic Differentiation to differentiate to find dy dx given 3 x x 1 x 2 x 1 2x 3 y
- Q Let f v v 5v Determine the critical values of f If multiple such values exist enter the solutions using a comma separated list Ov No critical values exist Submit...
- Q the following is the graph of f x the function f x has a local A 2 and 1 3 1 and 1 Q0 and 1 Dj 2 only E...
- Q Which of the following graphs is the slope field for Plea 111 2111 2 3 4 5 dx cos x O O 11 1 A 543 11 MAX 2 3...
- Q f x x Add vertical stretch Then the veritcal Shift up by 3 by 2
- Q Solve the equation by completing the square x 2x 23 0 X X 1 2 6 1 2 6 smaller value larger value
- Q Find the local maxima local minima and saddle points if any for the function z Use symbolic notation and fractions where needed Give your answer as point coordinates in the...
- Q What is the 2023rd derivative for the function f x cosx Show work and ensure your problem solving strategy is clear
- Q Use the product rule to find the derivative of the given function y 3x 2 3x 2
- Q Find the value s of t so that the tangent line to the given curve contains the given poi r t 5ti 2t j 2t k 0 8 8 t...
- Q Find the acceleration function a t if s t 7 7t 4t 3 O A a t 42t 14 OB OC O D a t 21t 4t 14 a t...
- Q For the function f x FULGA 10 x find f x Then find f 0 and f 7
- Q Find all critical numbers of the function f x x 72x Then use the second derivative test on each critical number to determine whether it leads to a local maximum...
- Q For the function f x 3ex find f x f 0 f 7 and f 6 f x Type an exact answer in simplified form
- Q 4 25 pt Identify the symmetries of the curves r 12 cos 0 and r 4 4 cos 0 Make a table for r values corresponding to 0 values Draw...
- Q 3 25 pt Test the function below for local maxima loc al minima and saddle points Find the value of the function at these points f x y x y...
- Q For the function shown in the graph list the intervals on which the function is increasing the intervals on which it is decreasing and the location of all local extrema...
- Q 8 Find dy by implicit differentiation dx sin xy x y
- Q Explain why Rolle s Theorem does not apply to the function even though there exist a and b such that f a f b Select all that apply X f...
- Q Find the angle between the planes 6x 3y 10 and 9x 6y 10z 20 The radian measure of the acute angle is 0 Round to the nearest thousandth
- Q Prove the identity sin x sin x x Note that each Statement must be based on a Rule chosen from the Rule menu To see a detailed description of a...
- Q The formula for the power output P of a battery is P VI RI2 where V is the electromotive force in volts R is the resistance in ohms and I...
- Q Solve the following equation for x x 121 list your answers separated by a comma not using a sign and do not include x in your answer
- Q Find the area of the region between the graphs of f x x 3 and g x 2x A 3 B 8 C 6 YA f x x 3 g...
- Q Find the derivative of the function f x sqrt x 10 oot 3 x
- Q In Problems 18 19 find the second derivative f x of each of the given functions f x rsin z 18 f x 1 1 dt Answer f x sin...
- Q dy We now solve the resulting equation for dx 2x 20y 2y 20x dy dx 2y 20x dy dx dy dx 0 11
- Q We have determined that d dx x 2x dy 2x 20 x dx y dx 2x 20x dy 20y dx dy xy x Y dx Applying these derivatives and simplifying...
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