Questions

An inverted conical water tank with a height of 18 ft and a radius of 9 ft is drained through a hole in the vertex at a rate of 2 ft s see figure What is the rate of change of the water depth when the water depth is 3 ft Hint Use similar triangles 9 ft M 18 ft When the water depth is 3 ft the rate of change of the water dept Round to the nearest hundredth as needed

10 Domain Decreasing Increasing End Behavior 0 10 Range Positive Negative Symmetry 10

Complete the following derivation using the following selection of derived rules only none of the basic rules DNE DNI Comm CommV DeM DSL DSR MT Trans HS Def E and Def I 1 A B 2 Q P 3 4 Q PV S T n T S Premise Premise Premise Premise Goal

Complete the following derivation using the basic rules and the following selection of derived rules DNE DNI Comm CommV DeM DSL DSR MT Trans HS Def E and Def I 1 P Q S Premise 2 P Q S Premise 3 P Q PVQ Premise n S Goal

Complete the following derivation using exactly one application each of CommV DSR MT HS Trans and Def I 1 R 2 Q S 3 PV QV R 4 P n S Premise Premise Premise Premise Goal

A red cross helicopter takes off from headquarters and flies 140 km at 10 degrees south of west There it drops off some relief supplies then flies 105 km at 60 degrees west of north to pick up three medics If the helicoper then heads directly back to headquarters find the distance and direction it should fly Give your answers rounded to one decimal place Distance Direction km degrees Select an answer

using exactly one application each of E DeM CommV and Def E 1 P 2 P P A D n D A Premise Premise Goal

Find the demand function q D x given the following elasticity conditions q E X X 190 x Question 8 5 7 xiq 175 when x 15

Find the four second order partial derivatives f x y 2x y 5xy 6y 1xx x y

A dormancy may be induced by abscisic acid or other chemicals and may be broken by stratification

Find the four second order partial derivatives for f x y 5x6y7 6x5y4 fxx

Let f x y 3 4xy find f 0 3 f 3 2 and f 3 2 f 0 3 Simplify your answer

Let f x y x 5xy y Compute f 5 0 and f 5 3 f 5 0 Simplify your answer

Find a the general solution and b the particular solution for the given initial condition 6 y x 3x y 1 9 a The general solution is y

Solve by separating variables dy 9x dx y y 0 Type an exact answer using radicals as needed Use a comma to separate answers as needed

Find the particular solution determined by the initial condition ds 101 5t 8 s 0 76 dt The particular solution that satisfies the given condition is s Question

In C3 plants carbon fixation occurs in the A cells and the enzyme Rubisco is found in the A cells

Graph the unit circle using parametric equations with your calculator set to radian mode Use a scale of 1 12 Trace the circle to find all values of t between 0 and 2r satisfying the following statement Round your answers to the nearest ten thousandth Enter your answers as a comma separated list t Cost

Evaluate 9 8 S when S 4

Action Potential AP arises in presynaptic neuron CH gates open Causing IF Current spreads through Travels to Causes Nonmyelinated axons Leads to Located in IF gpening When next Myelinated axons End of presynaptic neuron Excitatory Postsynaptic Potential begins at Depolarization to 30mV Current spreads by

PRACTICE IT LO 2 6 How do you assess for melanoma O Outline Roughness Pigment Circumference Altitude Symmetry Texture Shade Length Width

Company A uses a new production method to manufacture aircraft altimeters A simple random sample of new altimeters resulted in errors listed below What is the test statistic X rounded to two decimal places 77 20 75 44 15 16 55 7 53 108 100

Find the present value Po of the amount P 100 000 due t 4 years in the future and invested at interest rate k 8 compounded continuously The present value of 100 000 is Round to the nearest cent as needed

Find the future value P of the amount Po 200 000 invested for time period t 2 years at interest rate k 5 compounded continuously If 200 000 is invested what is the amount accumulated after 2 years Points 0 of 1 Round to the nearest cent as needed

PRACTICE IT LO 2 3 Endocrine glands secrete hormones directly into the bloodstream while O Neurotransmitters are secreted directly into the bloodstream Exocrine glands secrete their products into ducts that lead to the surface of an organ or tissue O Exocrine glands secrete their products directly into the bloodstream Endocrine glands secrete their products into ducts that lead to the surface of an organ or tissue Hormones are not secreted by glands at all but by individual cells throughout the body Submit answer

a b Merly bring gravz 8MP Merle Merly Secretion Secretory vesicle Golgi complex Nucleus Pinched off portion of cell is the secreti

A pilot flies in a straight path for 3 hours He then makes a course correction heading 25 to the right of his original course and flies 2 hours in the new direction If he maintains a constant speed of 145 miles per hour how far is he from his starting position Round your final answer to the nearest mile Your Answer

How do Hox genes provide evidence of common ancestry O A The order of Hox genes match the physical placement of body parts in all animals B Hox genes control where structures grow in all plants and animals O c The nucleotide sequences of Hox genes found in fossils are an exact match to modern species D The Hox genes of distantly related animals have identical nucleotide sequences

A study was conducted to determine whether magnets were effective in treating pain The values represent measurements of pain using the visual analog scale Assume that both samples are independent simple random samples from populations having normal distributions Use a 0 05 significance level to test the claim that those given a shamn treatment have pain reductions that vary more than the pain reductions for those treated with magnets What is the conclusion for this hypothesis test Sham Magnet n 20 20 X 0 43 0 49 S 1 57 0 91 OA Reject HO There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets OB Reject HO There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets OC Fall to reject HO There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets OD Fall to reject HO There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets

PRACTICE IT LO 2 3 What is the purpose of glands in the body Glands are specialized structures made up of epithelial tissue that secrete substances for various functions Glands are specialized structures made up of nervous tissue that secrete substances for various functions Glands are structures made up of connective tissue that transport substances for various functions Glands are structures made up of muscle tissue that contract to secrete substances for various functions Glands are specialized structures made up of adipose tissue that store substances for various functions Submit answer

PRACTICE IT LO 2 1 2 2 Where is Connective Tissue located in the human body Connective tissue is only found in the brain O Connective tissue is not found in blood or lymph tissues Connective tissue supports other tissues and binds them together bone blood and lymph tissues Connective tissue is primarily responsible for the contraction of muscles Connective tissue is only found in bone tissue Connective tissue is responsible for transmitting nerve impulses Submit answer

15s 34s 28 5 s 56 3

4 Find the eigenvalues and corresponding eigenevectors of the matrix A 11 Note The eigenvalues are imaginary numbers

1 Factor 6x 11x 10 2 Simplify 2 3 A pipe can fill A hose can fill the same pool in 6 hours How long will it take to fill the pool if both are filling 4 Solve and check 4 X 4 a pod in 1 X 2 x 4 4 hours X 2 5 line PQ is perpendicular to line AB find x P 1 2 Q 3 4 A 6 5 B X 6

Solve the equation 25e2k 50 If 25e2k 50 then k Type an exact answer

Differentiate f x In f x X x 10 X

The demand for a new computer game can be modeled by p x 55 5 8 Inx for 0 x 800 where p x is the price consumers will pay in 90 Recall that total revenue is given by R x x p x Complete parts a through c below a Find R x R x GIB

all that total revenue is given by R x x p x Complete parts a through c below Find R x CIL

Differentiate y In 9x 5x 8 Y 0

Find y 3x 4 y 2x 1 y 0

Solve the equation 252 50 If 25 50 then k Type an exact answer

Differentiate the following function f x x e8x f x

Find the derivative with respect to x if f x 11x 22x 22 ex The derivative with respect to x if f x 11x 22x 22 ex is f x

Differentiate f x x5 9e4x f x

2 1 ok int rences Required information The following information applies to the questions displayed below Calvin reviewed his canceled checks and receipts this year 2023 for charitable contributions which included an antique painting and IBM stock He has owned the IBM stock and the painting since 2005 Donee Hobbs Medical Center State Museum A needy family United Way a Calvin s AGI is 150 000 Item IBM stock Antique painting Food and clothes Cash Charitable contribution deduction Carryover Cost 6 000 5 500 500 18 000 Calculate Calvin s charitable contribution deduction and carryover if any under the following circumstances Note Leave no answer blank Enter zero if applicable FMV 32 000 3 300 300 18 000

Solve e 18 for x The solution is x P Type an integer or decimal rounded to four decimal places as needed

Use a calculator to find the natural logarithm base e In 0 0571 In 0 0571

Given In 3 1 0986 and In 16 2 7726 find the value of the following logarithm without using a calculator 3 16 In 3 In 16 11

An accessories company finds that the cost in dollars of producing x belts is given by C x 740 35x 0 062x Find the rate at which average cost is changing when 178 belts have been produced First find the rate at which the average cost is changing when x belts have been produced FM 1

Find y y V 2x 1 3x 2