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College Calculus
Indefinite Integration15 Make a Substitution to express the integrand as a rational function and than evaluate the integral COSX Act sin 8 Absin J N sin x 15inx dx A floss and 1 cosx COST 2x 8 8
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form z 4 7z 6z 7
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form 2c C 2 C 2 c
College Statistics
StatisticsThe Little Hungry Caterpillar ate 1 apple on Monday 2 apples on Tuesday 1 on Wednesday 4 on Thursday 2 on Friday 5 on Saturday and 6 on Sunday 1 10 points Provide as many descriptive statistics for this dataset as you can 2 2 points Draw a chart that you think best illustrates what happened 3 8 points I had a theory that drinking snake oil would improve students academic performance To test my theory I selected 3 healthy male volunteers from my class of 29 and gave each of them a glass of snake oil daily for 100 days The point score for the semester of one of those volunteers was 1 higher than the class average the other two died of stomach ulcers before the final exam and were excluded from data analysis and from the paper I wrote about my tudy Since I had a large sample size 300 and the positive effect was obvious I patented my method and made billions selling snake oil List at least 8 flaws in my study
College Geometry
Coordinate systemSimplify Express your answer as a single fraction in simplest fe 3u 9 10u 4 5 2u 10
College Calculus
Vector Calculus18 The form of the partial fraction expansion of the rational function A none B Ax B b x 2 A x 1 x244 B Ax B Cx D X 1 2 is C A B l X274 x 1 x 1 x 2 X72 DAB x 4 X 1 X 2 BICID D A B Cx b x 1 X 1 2 x2 4 EA Bxt C Cx b x 1 X 1 2 x2 44
College Calculus
Indefinite Integration14 Select the appropriate substitution that would Simplify the evalution of the integral I since 0 1 COS 0 do A non B u COSCO C U COS 0 E u 1 cos 0 b u sincol
High School Math - Others
TrigonometryDrag the tiles to the correct boxes to complete the pairs Not all tiles will be used C B 90 5 3 Match the trigonometric ratios with their values based on the triangle shown in the diagram sin D cos Cx tan D sin C sin D x cos D tan Cx tan D 22 310 199
College Calculus
Indefinite IntegrationS 7 Find the integral x dx using substitution The resulting integral is 1 x2 Anone B S4 du C f1 zdu b f4 zdu E Sth ou Sz 2u 20 2 4 42 1 2 4 421782 Ou ax du
College Calculus
Definite Integrals2 The appropriate substitution for the integral S cos 6 x Sin x dx is and the resulting integral is A U COSCX1 C none B Ul sin x D u cos MECOSX A U COSA S4 1 105t du 48 46 A U cos x Ju u du coscx Su urdu B u sin x Su u du C none 4 COSX e Sinx dx 48 46 E U sin x su uo du 46 48 du S46 1 cos x du
College Calculus
Indefinite Integration5 Find the integral 8x 1 dx x 3 x 2 A 8 n X 31 n 1x 2 C B 51n x 31 3 n x 21 C c In 1x 31 3 n 1x 21 C b none 15 Jx x 3 x 2x 1230x 63 6 E 3 n 1x 31 5 n x 21 C 51n1X 31 31n1x 2 C
College Calculus
Application of derivatives12 Evaluate the indefinite integral S 8 04 18 972 9 C 15 2
College Math - Others
Basic Mathbers use the assumed values and only 1 section Otherwise the math will not work 75 lb L K H A B C D E F 4 ft 4 ft 4 ft 4 ft 4 ft 4 ft 3 15 lb 55 lb 25 lb 35 lb 6 ft
College Calculus
Indefinite Integration43 Use integration by parts to evaluate the integral S x e 4 x d x e4ex C 4 Sxe 4xdn xe 4x feux dx xe 4x 4 4n
College Calculus
Indefinite IntegrationM For each of the indefinite integrals below choose which of the following substitution would be most helpful in evaluating the integral enter the appropriate A x 7tan o 16 7 sino C x 7seco C B 1 SX 1 5 x 2 dx 2 5 x2 440x 49642 A 3 S 1491213 4 x 49 512x 51x2 dr A
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form P 2p 12p 24 4p 8
College Statistics
ProbabilityThe number of hits on a certain website follows a Poisson distribution with a mean rate of 3 per minute Part A Define a function for calculating the probability of poisson distribution def poisson manual x lmbd Define poisson distribution based on x and lambda You can assume that x is a non negative intege You may want to use following functions math e math factorial Inputs x x lambda Lmbd Output prob I
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form b 5b b 2
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form a 9 a 10
College Statistics
ProbabilityConsider the data set represented by the dot plot 500 1000 Which word best describes the red data point Outlier Absolute Deviation Unbalanced Third quartile 1500
College Algebra
Complex numbers1 Find the area of the cross section of the rectangular prism shown below Round all calculations to the nearest tenth 11 cm 8 cm 15 am Note The figure is not drawn to scale a 187 cm b 139 7 cm c165 cm d 255 cm
Biology
Cell Cycle and Cell Divisiona Homologous Chromosomes Before Replication b Homologous Chromosomes After Replication c Diploid Somatic Cell 2n 4 after DNA Replication PART 2 MEIOSIS PREPARATION a A cell 2n 4 at Metaphase 1 of Meiosis b How do you indicate homologous pairs of chromosomes Where did this organism get each member of a homologous pair of chromosomes ART 3 MEIOSIS 2n 10 complete on separate pieces of paper and attach to lab results
High School Geometry
Vectors3 M 3 0 N 5 2 O 3 4 P 1 2 MN slope MN OP slope OP MP slope MP NO slope NO
College Algebra
Quadratic equationsFind the zeros of the function f x x 7x 7 Round values to the nearest hundredth if necessary Answer Attempt 1 out of 2
College Algebra
Matrices & DeterminantsFind M14 and M33 for matrix A 96 00 1 2 00 A 8 66 9 5 3 M14 12 M33 40
Biology
Ecology - General21 4 Describe two groups of microbes at the vents along with their metabolic activities that facilitate symbiosis and or genera metabolism in these communities How do these organisms interact with the biogeochemistry at the vents and in the deep ocean Ch 21 How does the structure of the host and microbe impact functionality of the symbiosis
College Algebra
Quadratic equationsQuestion Find the zeros of the function f 2x 16 8x 31 Round values to the nearest hundredth if necessary Answer Attempts out of 2
College Algebra
Complex numbersQuestion Watch Vide Show Exam Using the rational root theorem list out all possible candidate rational roots of f x 5x 222 3r 23 Express your answer as integers or as fractions in simplest form Use co to separate
College Calculus
Differentiation4 A ballon being filled at rate of rct liters per sec Starting with a volume of o liters at time t 0 What is an expression that represents the volume of the ballon after 2 min in liters 2 A S r of 120 of B So randt C fire rus of E none
College Math - Others
Basic MathConsider the following recursive function fun x y What is the value of fun 4 3 int fun int x int y if x O return y return fun x 1 x y O 10 O 11 O 12
Biology
Ecology - Environmental IssuesWhich do you think is most deadly A Ground shaking B Liquefaction C Fire D Tsunami E Landslides
College Calculus
Differential equationsDetermine whether the series 1 1 2 1 k2 k 1 is absolutely convergent conditionally con vergent or divergent 1 conditionally conver 2 absolutely converger 3 divergent
College Math - Others
Basic MathCollins Company is preparing its master budget for April Use the given estimates to determine the amounts necessary for each of the following requirements Estimates may be related to more than one requirement a What should total sales revenue be if territories A and B estimate sales of 10 000 and 16 000 units respectively and the unit selling price is 48 b If the beginning finished goods inventory is an estimated 2 000 units and the desired ending inventory is 3 000 units how many units should be produced 27 000 c What dollar amount of material should be purchased at 4 per pound if each unit of product requires 3 pounds and beginning and ending materials inventories should be 5 000 and 4 000 pounds respectively x d How much direct labor cost should be incurred if each unit produced requires 1 5 hours at an hourly rate of 17 e How much manufacturing overhead should be incurred if fixed manufacturing overhead is 55 000 and variable manufacturing overhead is 2 50 per direct labor hour
College Math - Others
Mathematical InductionEstimate cos x2 da using a the Trapezoidal Rule and b the Midpoint Rule each with n 4 Give each answer correct to five decimal places a T 0 84549 b M 0 5373 c By looking at a sketch of the graph of the integrand determine for each estimate whether it overestimates underestimates or is the exact area 1 T Underestimate Overestimate 2 M4 d What can you conclude about the true value of the integral A TA cos x dx M4 B T4 C TA cos x2 dx and M4 cos x dx cos x dx and M4 f cos x dx D No conclusions can be drawn E MA cos x2 dx T
College Calculus
Vector CalculusProve each of the following identities 31 sin x cos x 1 sin 2x 32 cos xsin x cos x sin x cos 2x 1 cos 20 33 cos 2 sin 20 35 cot 1 cos 20 37 cosxsin x cos 2x 39 sin 303 sin 0 4 sin 0 41 2 csc 2x tan x cotx 34 sin 36 cos 20 1 cos 20 2 1 tan 0 1 tan 0 38 sin x cos x cos 2x 40 cos 304 cos 0 3 cos 42 2 cot 2x cot x tan x
College Math - Others
Basic MathFor each independent situation below determine the missing amounts A B C D Beginnning inventory 6 000 x 2 000 X Produced 40 000 22 000 x 60 000 Available x x 26 000 69 000 Sold 45 000 33 000 X x Ending inventory x 10 000 11 000 3 000