Calculus question and answers for February 21, 2024
- Q Consider the function f x 2 8x on the interval 2 8 A Find the average or mean slope of the function on this interval i e 8 f 2...
- Q By applying Rolle s theorem check whether it is possible that the function f x x x 12 has two real roots Final answer input possible or impossible Answer this...
- Q Consider the function f 2 x 42 9 on the interval 0 4 Verify that this function satisfies the three hypotheses of Rolle s Theorem on the inverval f x...
- Q roblem 2 Find an expression for the area under the graph of f x 112 6 on the interval 5 10 D lim 81x A lim 72 00 G lim...
- Q Problem 5 The graph off is given to the right Let g x f 1 di 3 a Find g 1 b Find g 2 c Find gr 1 d...
- Q Problem 4 Evaluate the following integrals by interpreting them in terms of areas a 5 1x 51 dx 7 49 x dx
- Q Let F x 1 f 3 dt Find F 4
- Q Problem 3 The graph off is given to the right 1 Evaluate f x dx y f x 3 2 1 3 2 1 L 2 d 2
- Q Problem 6 Evaluate the following integrals a 3 2 b 6 S 5 72 dx 0 0 x 1 5x dx
- Q A stone is dropped from the upper observation deck of a tower 400 m above the ground Assume g 9 8 m s a Find the distance in meters of...
- Q The graph of a function f is shown Which graph is an antiderivative of f DOO 0 2 y 2 0 1 5 0 0 5 0 5 1 0...
- Q F 0 f 0 sec 0 tan 8 9e Need Help Submit Answer 0 11 Points Read It DETAILS SCALCET9 4 XP 9 012 MY NOTES ASK YOUR TEACHER PRACTICE...
- Q A company estimates that the marginal cost in dollars per item of producing x items is 1 67 0 002x If the cost of produci one item is 552 find...
- Q Find f f t f t 2 cos t sec t n 2 t 2 f 3 3
- Q Find the most general antiderivative of the function Check your answer by differentiation Use C for the constant of the antiderivative F x f x x 5 5x 15
- Q Find a function f such that f x f x 2x3 and the line 2x y 0 is tangent to the graph of f
- Q Since raindrops grow as they fall their surface area increases and therefore the resistance to their falling increases A raindrop has an initial downward velocity of 10 m s and...
- Q Find f f t 3 f 4 11 f 4
- Q A car braked with a constant deceleration of 40 ft s2 producing skid marks measuring 80 ft before coming to a stop How fast ft s was the car traveling...
- Q Find the most general antiderivative of the function Check your answer by differentiation Use C for the constant of the antiderivative F x f x 2x4 5x x X 0
- Q Consider the following problem a box with an open top is to be constructed from a square piece of cardboard 3 feet wide by cutting out a square from each...
- Q A box with a square base and open top must have a volume of 13 500 cm Find the dimensions of the box in cm that minimiz the amount of...
- Q Find the equation of the line through the point 2 5 that cuts off the least area from the first quadrant
- Q A steel pipe is being carried down a hallway that is 9 ft wide At the end of the hall there is a right angled turn into a narrowe hallway...
- Q A manufacturer has been selling 1 000 flat screen TVs a week at 500 each A market survey indicates that for each 10 rebate offered to the buyer the number...
- Q What is the maximum vertical distance between the line y x 2 and the parabola y x for 1 x 2
- Q If you are offered one slice from a round pizza in other words a sector of a circle and the slice must have a perimeter of 36 inches what diameter...
- Q Find the area of the largest rectangle that can be inscribed in the ellipse 1
- Q If 30 000 cm of material is available to make a box with a square base and an open top find the largest possible volume in cm of the box...
- Q The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm If the area of printed material the poster is fixed...
- Q at d its to point pposite A B the other side of the lake in the shortest possible time see the figure She can walk at the rate of 4...
- Q Find the area of the largest rectangle that can be inscribed in the ellipse 1
- Q At time t the position of a body moving along the s axis is s t 9t 24t m a Find the body s acceleration each time the velocity is...
- Q Find the dimensions of a rectangle in m with perimeter 76 m whose area is as large as possible Enter the dimensions as a comma separated list m
- Q Find the value of each variable b b 9 2 and d 45 C a d b c Simplify your answers Type exact answers using radicals as needed 30
- Q Write an equation of the line containing the given point and parallel to the given line Express your answer in the form y mx b 2 6 5x 9y 2...
- Q X Simplify your answer Type an exact answer using radicals as needed
- Q Evaluate Be sure to check by differentiating 1 6 3x dx 6 3x dx x 2 xi 16 3x dx 0 Type an exact answer Ilse paronth
- Q Evaluate Be sure to check by differentiating 1 6 3x dx dx x 2 6 3x dx Tyne an exo opou
- Q Suppose the charge q on a capacitor is given by q 2 95 C e t 0 220 s a Find the value of q when t 0 0380 s...
- Q xin x3 A In In x3 C B In x C in 0 D in inx 3
- Q xin x3 A In In x c C B In x C C in x C D in In x
- Q The figure below is a contour diagram of f x y In each of the following cases list the marked points in the diagram there may be none or more...
- Q Evaluate Be sure to check by differentiating In x 29 X In x 29 dx x 0 dx X Type an exact answer Use parenthopon to
- Q Find the critical point s of f x y f x y x 3y 12x 6y 3 f x y has Choose one critical point s
- Q Calculate all four second order partial derivatives of the function 3x f x y y 0 and confirm that the mixed partials are equal Y fax x y fay x...
- Q Calculate all four second order partial derivatives of the function f x y 9xe and confirm that fry fyr Assume the variables are restricted to a domain on which the...
- Q Condense the left hand side into a single logarithm Then solve the resulting equation for A log x log y 3 log z log 4 A 1 help formulas
- Q Given nonzero vectors u v and w use dot product and cross product notation as appropriate to describe the following a The vector projection of u onto v b A...
- Q Given honzero vectors u v and w use dot product and cross product notation as appropriate to describe the following a The vector projection of u onto v b A...
- Q Find the length and direction when defined of u xv and vxu u 8i 3j 5k v 4i 4j 2k uxv 6 17 Type an exact answer using radicals as...
- Q Given nonzero vectors u v and w use dot product and cross product notation as appropriate to describe the following a The vector projection of u onto v b A...
- Q Find the length and direction when defined of u xv and vxu u 8i 3j 5k v 4i 4j 2k luxv 6 17 Type an exact answer using radicals as...
- Q Find the volume of the parallelepiped box determined by u v and v u 2i j Simplify vo V for 4i j 2k The volume of the parallelepiped is 4...
- Q What is the energy in joules of one photon of microwave radiation with a wavelength 0 122 m O 1 63 x 10 24 J 4 07 x 10 10...
- Q Find the length and direction when defined of u xv and vxu u 8i 3j 5k v 4i 4j 2k luxv Type an exact answer using radicals as needed
- Q a Find the area of the triangle determined by the points P Q and R b Find a unit vector perpendicular to plane PQR P 1 1 0 Q 0...
- Q Sketch the coordinate axes and then include the vectors u v and u xv as vectors starting from the origin u 9i v 8j Which of the following graphs contains...
- Q Given nonzero vectors u v and w use dot product and cross product notation as appropriate to describe the following a The vector projection of u onto v b A...
- Q Graph the logarithmic function f x log x 1 Drag the two blue points on correct line graph to the correct points that f x passes through Then use the...
- Q Graph the logarithmic function f x log x 4 Drag the two blue points on graph to the correct points that f x passes through Then use the remaining red...
- Q Condense the left hand side into a single logarithm log 9 log x log y log IED help formulas
- Q Use the properties of logarithms to expand the following logarithm as much as possible Rewrite as a sum difference or product of logs log r y r y7
- Q Use the properties of logarithms to expand the following logarithm as much as possible Rewrite as a sum difference or product of logs log
- Q Expand log 34 to rewrite as a sum difference or product of logarithms Choose all correct answers There may be more than one way to rewrite the expression A log...
- Q Expand In expression A In 4 In k OB kln 4 OC In 1 k ln 4 OD In 1 In 4 OE In 1 In 4 to rewrite as...
- Q Condense the left hand side into a single logarithm log a log b log c log 4 help formula
- Q Expand In 14xy to rewrite as a sum difference or product of logarithms Choose all correct answers There may be more than one way to rewrite the expression A In...
- Q Use properties of logarithms to evaluate without using a calculator 2 log 4 log4 256 3 log 6561
- Q Use graphing technology to find approximate solutions of log 6x 3 4 4 log 6x 3 help numbers X
- Q 7 pts Using Theorem 8 Maximum Minimum Principle 1 find the absolute maximum and absolute minimum values of the function if they exist over the indicated interval nobisnut gevie f...
- Q The shape of a colony of bacteria on a Petri dish is circular Find the approximate increase in its area if its radius increases from 10 mm to 19 mm...
- Q A cube with sides 9 inches long is covered with a coat of fiberglass 0 6 inch thick Use differentials to estimate volume of the fiberglass shell THE The volume...
- Q pv 11 nv 0 234 a Identify the individual variable random variable X and the random variable in the context of this problem The individual is a randomly selected college...
- Q Filing status single Gross income 75 000 Adjustments 7000 Deductions 11 500 mortgage interest 4100 property taxes 2000 charitable contributions Tax credit none Click the icon to view the 2021...
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