Numerade

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Sam Stansfield

Numerade educator

BASIC CALCULUS Sample Practice Problems : (NOT RECORDED) LIMITS OF TRIGONOMETRIC FUNCTIONS AND SPECIAL CASES Evaluate the trigonometric limits: (1) ( lim _{x ightarrow frac{pi}{2}} frac{1-sin x}{x-frac{pi}{2}} ) (3) ( lim _{x ightarrow 0} frac{ an (7 x)}{sin (3 x)} ) (2) ( lim _{x ightarrow 0} frac{sin (5 x)}{sin (9 x)} ) (4) ( lim _{x ightarrow 0} frac{sin ^{3}(2 x)}{x^{3}} )

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Benjamin Densmore

Numerade educator

Given the different career and life choices, what would help you to decide where to go after senior high school? Why is it helpful for you to know the different professions and other life choices? What is the importance of considering the different factors in choosing your profession/vocation? 4. What is your insight about this statement from Confucius? “Choose a job you love and you will never have to work a day in your life.

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Oluwapelumi Kolawole

Numerade educator

Activity: Perform the needed calculation in the following problems 1. 80.0 grams of glucose (C6H12O6 ) is dissolved in 1.00 kg of solvent. What is its molality? Molar mass of (C6H12O6 ) is equal to 180g/mol. 2. Suppose you added 4.0 moles of sugar to 10.0 L of solution. Calculate the molar concentration of the solution. 3.What is the Molality of a solution containing 7.78g of Urea [(NH2)2CO2] in 203g of water? use GAS format

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Anna D.

Numerade educator

How many mL of HNO3 concentrate are needed to prepare 250 mL of solution 4%? What is the total mass of solute in 1000g of a solution having a concentration of 5ppm?

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Qudsiya Anis

Numerade educator

Solve each of the following and show these graphically through a normal curve. An entrance examination is to be conducted to 120 incoming Grade 11 STEM students at City of Bogo Senior High School which is known to be normally distributed and has a mean of 85 and a standard deviation of 10. 10.) What proportion of the students would be expected to score above 95? 11.) What percent of students would be expected to score below 80 ? 12.) What percentage of students would be expected to score below 100 ? 13.) How many students would be expected to score below 90 ? 14.) How many students would be expected to score between 80 and 110 ? 15.) What percentage of students would be expected to score between 85 and 105 ?

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Kirsty Gledhill

Numerade educator

STATISTICS AND PROBABILITY NORMAL "CURVE" DISTRIBUTION Test I. Determine each of the following areas and show these graphically. Use percentage in your final answer. 1.) from z = 0 to z = 2.18 2.) above z = 1.58 3.) below z = -0.47 4.) to the right of z = -2.03 5.) to the left of z = 2.49 6.) between z = 0.76 and z = 2.35 7.) from z = -0.63 to z = 3.04 8.) at most z = -1.5 9.) at least z = 1.5 Test II. Solve each of the following and show these graphically through a normal curve. An entrance examination is to be conducted to 120 incoming Grade 11 STEM students at City of Bogo Senior High School which is known to be normally distributed and has a mean of 85 and a standard deviation of 10. 10.) What proportion of the students would be expected to score above 95? 11.) What percent of students would be expected to score below 80? 12.) What percentage of students would be expected to score below 100? 13.) How many students would be expected to score below 90? 14.) How many students would be expected to score between 80 and 110? 15.) What percentage of students would be expected to score between 85 and 105?

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Kathleen Carty

Numerade educator

Assignment #4 (notebooks) Evaluate each of the following limits, if it exists: 1. lim x->pi/3 (tan^2 x * sin 3x) / (sec (x/2) - cot 2x) 2. lim x->pi/4 (cos 2x) / (sin x - cos x)

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