calculus explained with examplesDescripción completa
differential calculus
calculusDescripción completa
differential calculus
differential calculusFull description
Clyde E. Love and RainvilleFull description
:)
Radius of Curvature
Differential Calculus by Shanti Narayan for B.A. & B.Sc. Students কলকাতা বিশ্ববিদ্যালয় সিলেবাস নির্দেশিত পুস্তক 10th Revised Edition 1962 AD 424 pages 16.10 MB PDF
Dif Forms
Descrição completa
Differential Calculus - PART 3 - Maxima-minima-timeratesFull description
Calculus Of Variations
Differential CalculusFull description
Descripción: Calculus Of Variations
its all about mathematicsDescripción completa
Descripción: calculus
makalah differentialDeskripsi lengkap
CalculusFull description
Math HL IB limits past paper
Using mathematical methods to understand and model crime is a recent idea that has drawn considerable attention from researchers during those years. From the plethora of models that have been proposed, perhaps the most successful one has been a diffu
TECHNOLOGICAL INSTITUTE OF THE PHILIPPINES MANILA DIFFRENTIAL CALCULUS COMPETENCY EXAM STUDENT NAME_____________________ NAME_________________________________ ______________ __ DATE_____________________________ DIRECTIONS: PROVIDE THE COMPLETE STEP BY STEP SOL SOLUTI UTIONS ONS TO SEL SELECT ECT THE BES BEST T ANSWER. 1. A right triangle has a fixed hypotenuse hypotenuse of 30 cm. And And the other two sides are allowed to vary. Determine the largest possible area of the triangle. a. 225 s.cm b. 23! s.cm c. 2!3 s.cm d. 21" s.cm
2. #ind #ind the area of the largest largest rectang rectangle le that that can be inscribed in a semicircle of radius r. a. 2r 2 b. r 2 c. $ r 2 d. % r 2 3. An open box is made from a suare piece of cardboard &of side 1' by cutting cutting out four eual eual &small &small suares' suares' at the corners and then folding. (ow big should the small suares be in order that the volume of the box be as large as possible) a. 1*+ b. 1*10 c. 1*" d. ,-/ !. A boy 5 feet tall wals at a rate of 3 feet*sec toward a streetlamp that is 12 feet above the ground. a' hat is the rate of change of the tip of his shadow) a. 15* fps b. 3"* fps c. 12*5 fps d. *15 fps 5. A conical tan 20 feet in diameter and 30 feet tall &with vertex down' leas water at a rate of 5 cubic feet per hour. At what rate is the water level dropping when the water is 15 feet deep) a. 1*4 b. 1*54 c. 3*4 d. !* ". he dimension of a box are a a 6 1 a 7 ! inches #ind how fast the total surface area 8 increases as a increases. a. 15&a 7 1' b. 12&a 7 1' c. 15&a 6 1' d. 12&a 6 1' . #ind the the minimum of the function function f&x' 9 2x 3 7 3x 2 : 12x 7 1. a. &1 10' b &;1 5' c. &;2 10' d.&;2 3' +. A farmer farmer is to mae mae a rect rectan angu gula larr padd paddoc oc. . he he farmer has 100 metres of fencing and wants to mae the rectan rectangle gle that that will will enclos enclosee the the greate greatest st area. area. hat hat dimensions should the rectangle be) a. 25 x 25 b. 10 x 30 c. 15 x 35 d. 1" x 3! . hat hat is the the radi radius us of an momen omentt when hen the rate rate of numerically twice as large as radius) a. 1 * π b. 2 * π
expa expand ndin ing g circ circle le at the the chan change ge of its are area is the rate of change of its c.
3 * π
d.
! * π
10.
a. !
b.
c. "
d. 5
11. A rectangular yard is to be built which encloses !00 s. ft. wo opposite sides are to be made from fencing which costs 10 peso per foot while the opposite sides are made from fencing which cost 20 peso per foot. #ind the least possible cost) a. 1031.3 peso b. 1131.3 peso peso c. 1231.3 peso d. 1331.3 peso 12. he volume of a cube is increasing at the rate of " cm3*min. (ow fast is the surface area is increasing when the length of the edge of the cube is 12 cm) a. 3 cm2*min b. 2 cm2*min c. 2.5 cm2*min d. 3.5 cm2*min 13. 13. A balloo balloon n leav leavin ing g the the grou ground nd 1+ m from from the the observer rises vertically vertically at a steady rate of 3 m*s. (ow fast fast is the the angl anglee of elev elevat atio ion n of the the line line of sigh sightt increasing after + s. a. 0.12 rad*s b. 0.0+ rad*s c. 0.03 rad*s d. 0.0" rad*s 1!. #ind the point on parabola y912x 2 that is closest to the point &;!1'. a. &2;2' b. &;2 2' c.&1 ;1' d. &;11' 15. ero. a. v 9 1*3 1*3 b.v 9 $ c. v 9 1*5 d.v 9 1*" 1". A spherical spherical balloon is being filled with air at the rate of 1 cfs. =ompute the time rate of change of the surface area of the balloon at the instant when its volume is 113.1 cubic feet. a. 0." ft2*sec b. 1.3 ft2*sec c. 3.0 ft2*sec d. 3. ft2*sec 1. #ind the local maxima of the the function f&x' 9 2x 3 6 x2 7 12x 6 5. a. x 92 b. x 9 1 c. x 9 ;1 d. ,-/ 1+. At what points does the curve y 9 !x 6 x 2 have a slope of !. a. &00' b. &12' c. &32' d. &;12' 1. A particle particle moves so in a straight line according to the euation 89t 37at27bt.