# Questions

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Biology

Ecology - EcosystemsPenguins are typically found living in colonies known as rookeries containing up to a mil lion nesting pairs Penguins often nest swim and feed in groups Which of the following best describes the population density and level of the sociality of a typical penguin population A B C D low population density low sociality high population density high sociality high population density low sociality low population density high sociality

Biology

Ecology - EcosystemsAfrican bush elephants have a lifespan of 60 to 70 years They typically only have one off spring every 4 years with pregnancies lasting up to 2 years Females will remain with their herd for life while males may leave to begin a solitary life at about 12 to 14 years of age Based on this information what type of survivorship curve can be expected for African bush elephants A B C type I survivorship curve type II survivorship curve type III survivorship curve

Calculus

Application of derivativesWe have found the following table of values of f h for various values of h close to 0 h 0 5 0 1 f h 46 125000 0 0001 34 481000 0 01 32 240801 h 0 5 0 1 0 01 f h 32 002400 0 0001 21 875000 29 679000 0 001 32 024008 0 001 31 976008 31 760799 31 997600 We note that the values of f h appear to approach the same number for values of h that are close to 0 on the left and the right side of 0 The number that is approached from both sic good estimation for the value of the limit To conclude estimate the value of lim 2 h 4 16 correct to six decimal places h 0 h

Math - Others

Linear AlgebraIdentifying independent events given descriptions of experiments For each experiment determine whether events A and B are independent or dependent Experiment A box contains tiles labeled A through Z A tile is randomly chosen from the box and set aside Then another random selection is made from the remaining tiles A paper clip is randomly selected from a container with black clips and white clips and thrown away Then another random selection is made from the remaining clips A spinner with slices numbered 1 through 10 is spun twice Events Event A The first selection is a tile labeled with a D Event B The second selection is a tile labeled with a P Event A The first selection is a black paper clip Event B The second selection is a white paper clip Event A The first spin lands on 2 Event B The second spin lands on 7 Independent Dependent O O

Calculus

Application of derivativesForm a polynomial f x with real coefficients having the given degree and zeros Degree 4 zeros 4 3i 5 multiplicity 2

Calculus

Application of derivativespoint P 6 1 5 9 a If Q is the point x mpQ ii 5 99 mpQ iii 5 999 mpQ iv 5 9999 mpQ v 6 1 mpQ vi 6 01 MpQ vii 6 001 MpQ les on the viii 6 0001 Man 5 x 2 5 x find the slope of the secant line PQ correct to six decimal places for the following values of x

Biology

Ecology - Organisms & PopulationFour species of warblers live in the same tree habitat Magnolia warblers forage for insects on the lower trunk Black throated green warblers prey on foliage eating insects close to the trunk Blackburnian warblers forage high in the treetops and catch their prey insects on the wing Cape May warblers eat sap or insects gleaned from the bark Which of the following best explains how the competitive exclusion principle relates to the scenario above A B C D All four warblers have some similarities but feed from the same place in the habitat As a result the four species are able to coexist in the same habitat All four warblers have similarities in their beak structure As a result the four species compete directly with one another for food which relates to the competitive exclusion principle All four warblers live in the same habitat and have some similarities but they do not feed from the same place in the habitat As a result the four species can coexist in the same habitat All four warblers have identical beak structures but do not feed from the same places in the habitat As a result the four species do not directly compete for food so they can

Algebra

Permutations and CombinationsThe graph of two functions f and g is illustrated below Use the graph to answer parts a through f Q 10 f x Ay 10 21 2 2 g x 46 46 6 2 6 9 10 a f g 2 Simplify your answer

Math - Others

Basic MathIf Leah wants to earn interest of 3 481 55 on his 11 000 00 savings in 4 years at wh nominal interest rate compounded quarterly do you suggest he invests his money

Calculus

Application of derivativesA graphing calculator is recommended The displacement in centimeters of a particle s moving back and forth along a straight line is given by the equation s 3 sin xt 4 cos xt where t is measured in seconds Round your answers to two decimal places a Find the average velocity during each time period i 1 2 ii 1 1 1 iii 1 1 01 iv 1 1 001 cm s cm s cm s cm s b Estimate the instantaneous velocity of the particle when t 1 cm s

Algebra

Quadratic equations2 Enter the correct answer in the box This graph represents a transformation of the parent cube root function 10 8 6 8 y 6 4 2 10 2 2 4 6 8 16 8 X 10

Calculus

Limits & ContinuityA graphing calculator is recommended X x 0 1 3x 1 a Estimate the value of lim by graphing the function f x X 1 3x 1 Round your answer to one decimal place b Make a table of values of f x for x close to 0 and guess the value of the limit Round your answer to six decimal places c Use the Limit Laws to prove that your guess is correct Find the exact value

Biology

Anatomy of Flowering Plantslarge seedpods after flowering The seed pods are pale green and covered with bumps Eventually the pods turn brown and split open releasing up to 200 flat brown seeds Silky white hairs attached to each seed facilitate wind dispersal An image of milkweed seeds can be seen below A milkweed seed Which of the following correctly identifies the expected pattern of distribution of dandelions based on the in formation above A B C clumped distribution pooled distribution uniform distribution

Algebra

Quadratic equationsWhat is the end behavior of this radical function f x 3 x 4 As x approaches positive infinity f x approaches positive infinity As x approaches negative infinity f x approaches positive infinity As x approaches positive infinity f x approaches negative infinity As x approaches negative infinity f x approaches 0

Biology

Ecology - EcosystemsA research scientist is studying the effect of drought on various species in a woodlands ece system The researcher focuses first on the population of white tailed deer After a year of data collection the researcher determines the current population size is 461 Over the year the population experienced 43 deaths and 92 births Based on this information what is the per capita growth rate for the population A B C D 0 29 white tailed deer per year 0 11 white tailed deer per year 0 09 white tailed deer per year 0 20 white tailed deer per year

Biology

Anatomy of Flowering PlantsWhich of the following statements are correct regarding transpiration and evaporation 1 Transpiration is the evaporation of water from plants II Both terms involve the conversion of liquid water into water vapor III Evaporation occurs when water vapor in the atmosphere changes into liquid water and falls with gravity IV Both processes occur on the surface of plants A B C I only I and IV II and IV