Calculus question and answers for December 19, 2023
- Q Use the graph to answer these questions a Find lim f x and lim f x X 4 X 4 b Find limf x X 4 c Find 1 4...
- Q Use the graph to find the following limits and function value a lim f x X 2 b lim f x X 2 c lim f x X 2 d...
- Q ketch the region bounded by the given line and curve Then express the region s area as an iterat and evaluate the integral 2 The parabola x y and the...
- Q ind f x for the given function f x 1 4 x
- Q Find g t for the function g t m 3
- Q Find H x for the given function H x 3 x 8 H x Type an exact answer using radicals as needed
- Q K By determining f x lim h 0 f x 7x f x h f x h f 1 Simplify your answer find f 1 for the given function
- Q Find f x for the given function f x 7x
- Q Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000 from 2000 to 2006 and from 1994 to 2006 ICCEI...
- Q Determine whether the function shown is continuous over the interval 6 6 Is the given function continuous over the interval 6 6 Yes 6 4 6 4 y f x...
- Q The graph shows the number of trips taken annually on a certain state s mass transportation system Find the average rate of change of the number of trips from 1992...
- Q Determine whether the function is continuous over the interval 6 6 Is the function continuous over the interval 6 6 6 6 z
- Q he total number of words M t that a person can memorize in t minutes is shown in the graph elow Complete parts a and b to the right AM...
- Q K An object dropped from rest from the top of a tall building on Planet X falls a distance d t 19t feet in the first t seconds Find the...
- Q a Find a simplified form of the difference quotient and b complete the following table f x 2x f x h f x h b Fill in the table a...
- Q The initial substitution of x a yields the form x 3x 154 lim x 11 X 121 x 3x 154 x 121 B The limit does not exist Simplify the...
- Q Determine the value for c so that lim f x exists x 3 f x 1 3x c for x 3 C x 6 for x 3 The value of...
- Q 12x in 00 14x sin y dy dx Eetch the region of integration Choose the correct graph below xx X 2x Evaluate the integral 14x sin y dy dx Q...
- Q Find the average value of f x y sin x y over a the rectangle 0 x 3 0 y 5 3 b the rectangle 0 x 2 3 0...
- Q In a particular city taxicabs charge passengers 3 20 for entering a cab and then 0 40 for each one fifth of a mile or fraction thereof traveled If x...
- Q In a particular city taxicabs charge passengers 2 20 for entering a cab and then 0 30 for each one fifth of a mile or fraction thereof traveled If x...
- Q Evaluate the double integral over the given region R R 18y 12x dA R 0 x 4 0sys1
- Q a Write an iterated integral for SS dA over the region bounded by y 7 x y 1 and x 0 using R vertical cross sections b Write an iterated...
- Q Ketch the region bounded by the given lines Then express the region s area as an iterated double integral and evaluate the integral X y x y and y 4...
- Q e integrals below give the area of a region in the xy plane Sketch the region label each bounding curve with its equation and gi e coordinates of the points...
- Q ketch the region of integration and evaluate the integral TX SS14x 14x sin y dy dx 0 0 A Sketch the region of integration Choose the correct graph below Ay...
- Q 4 1 3 0 4 3 Evaluate the iterated integral 20x y dy dx 4 1 4 3 20x y dy dx Simplify your answer 3 0
- Q 3 70 0 4x A ketch the region of integration Choose the correct graph below 3 dy dx 20 Evaluate the integral x OB Ay 20 20 Q dy dx...
- Q Use Fubini s Theorem to evaluate Apply Fubini s Theorem 3xexy Gellan ng3 RECENTLY Honorer CROCHERISING SS3 00 exy dy dx Tyne exact opp 3xexy dx dy
- Q valuate the iterated integral 5 0 0 2 x y 8xy dy dx 50 S S x y 8xy dy dx 0 2 Type an exact answer in sim
- Q Evaluate the double integral over the given region R S Sex YdA R ex YdA R 0 x In 2 0 ys In 5 Choose two integrals that are equivalent...
- Q Show that the equation x3 14x c 0 has at most one solution in the interval 2 2 Let f x x 14x c for x in 2 2 If...
- Q Identify any vertical horizontal or oblique asymptotes in the graph of y f x State the domain of f A There is one vertical asymptote Its equation is Type an...
- Q A plane flying horizontally at an altitude of 1 mile and a speed of 550 mi h passes directly over a radar station Find the rate at which the distance...
- Q The radius of a sphere is increasing at a rate of 5 mm s How fast is the volume increasing in mm s when the diameter is 60 mm Round...
- Q The height in meters of a projectile shot vertically upward from a point 3 m above ground level with an initial velocity of 21 5 m s is h 3...
- Q Use logarithmic differentiation to find the derivative of the function y x6 sin x y x
- Q Use the graph to state the absolute and local maximum and minimum values of the function Assume each point lies on the gridlines Enter your answers as a comma separated...
- Q Finally setting f c 4c 4 equal to 0 and solving for c gives the following result Enter your answers as a comma separated list 4c 4 0 C
- Q Since we have verified that all three hypotheses of Rolle s theorem are satisfied we know that there is a number c in 1 3 such that f c 0...
- Q y g x W 1 C 0 g is shown 1 i a Which of the following verifies that g satisfies the hypotheses of the Mean Value Theorem on the...
- Q The third hypothesis is satisfied if f a f b To verify that the given function satisfies this hypothesis on the interval 1 3 we must evaluate f 1 and...
- Q Tutorial Exercise Verify that the function satisfies the three hypotheses of Rolle s theorem on the given interval Then find all numbers c that satisfy the conclusion of Rolle s...
- Q Consider the following function g v v 48v 8 Find the derivative of the function g v Find the values of v such that g v 0 Enter your answers...
- Q Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values of f Enter your answers as a comma separated list If...
- Q Explain the difference between an absolute minimum and a local minimum O A function f has an absolute minimum at x c if f c is the smallest function value...
- Q For each of the numbers a b c d r and s state whether the function whose graph is shown has an absolute maximum or minimum a local maximum or...
- Q y x y x6x X Enhanced Feedback y Third multiply y Please try again First take the logarithm on both sides to get an expression for In y Second differentiate...
- Q If f x 4 sin x In 3x find f x f x Graph fand f in the same viewing window y 8 6 4 2 O 2 4 W...
- Q A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m min How fast is the height of the water increasing in m...
- Q Suppose f and g are differentiable functions and let h x f x 9 x then h x is given by the following form h x g x f x...
- Q The radius of a sphere is increasing at a rate of 4 mm s How fast is the volume increasing in mm s when the diameter is 60 mm Round...
- Q Let V represent the volume of a sphere with radius r mm Write an equation for V in mm in terms of r V r mm Find the radius of...
- Q a If A is the area of a circle with radius r and the circle expands as time passes find dA dt dA dt dr dt in terms of dr...
- Q Each side of a square is increasing at a rate of 7 cm s At what rate in cm s is the area of the square increasing when the area...
- Q Differentiate the function y y In 3 8x 3 8x
- Q Find the derivative of the function f x sin 8x f x X
- Q Find the derivative of the function y tan x 5 y
- Q Differentiate the function f x f x sin 7 In x
- Q The number of users on a website has grown exponentially since its launch After 1 month there were 120 users After 4 months there were 960 users Find the exponential...
- Q Question A sample of bacteria is being eradicated by an experimental procedure The population is following a pattern of exponential decay and approaching a population of O If the sample...
- Q A radioactive substance has a continuous decay rate of 0 044 per hour How many grams of a 100 gram sample will remain radioactive after 2 hours Round the answer...
- Q The total amount paid on a 35 year loan was 98 000 If the interest rate was 4 1 and compounded monthly what w the principal Round your answer to...
- Q 1 Evaluate the following 2 a tan cos b sin cos Crat sin
- Q 2 Simplify the following 2sin2x sinx 1 sin2x sinx
- Q 4 Find all solutions to the trigonometric equation tan 0 sec 0 1
- Q Solve log 5 x 4 log 9 4x Round your answer to the nearest tenth Do not include x in your answer If necessary include a leading 0 before the...
- Q Use the one to one property of logarithms to solve for x Do not include x in your answer log 2x 1 log 3x 5
- Q Solve the following equation for x In 3x 5 6 Round your final answer to 4 decimal places and do not include x in your answer
- Q Solve the following equation for x Provide your answer below log 6x 84 log 3 2
- Q 3 Use Simpson s Rule in Maple with n 32 to approximate the integral Vsin x dx Take a picture of your Maple output and upload it to Moodle as...
- Q 1 point Give a vector parametric equation for the line through the point 1 2 that is perpendicular to the line 3 5t 1 t L t
- Q Q2 Find a scalar potential field for F i j k x y z Explain why this potential field cannot be used to evaluate the line integral of F along...
- Q Find the indicated limit Note that l H pital s rule does not apply to every problem and some problems will require more than one application of l H pital...
- Q zilldiffeqmodap11 7 4 009 EP consider the following initial value problem y y tsin t y 0 0
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