Calculus (Answer Check)

85,792 results, page 50

Calculus 1

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x^3 + x + 1 = 0. *I got -1.307692 for my answer but it said that was wrong, so then I tried rounding it to two decimal places and got -1.31 and that ...

calculus

answer the questions about the following function f(x)= 10x^2/x^4+25 a. is the point (-sqrt 5,1) on the graph b. if x=3, what is f(x)? what point is on the graph of f? c. if f(x)=1, what is x? what points are on the graph? d. what is the domain of f? e. list the x-intersepts? ...

senior courses

So far in high school i have taken geometry, algebra 2, and trigonometry. one of my friends is taking calculus and she says its way too difficult. and since i have alot of trouble in algebra and trig myself i don't think calculus would be the right choice for me next year. ...

Accounting

What is the journal entry for a bounced check. For exemplar, on May 10, Mr. Smith pays his $1000 bill the a certain company, cash receipt #1. On May 12 the check is returned marked Not Sufficient Funds. Would the journal entry look like this. debit credit Accounts Receivable $...

Algebra 1

Check answer Glass Vase You are taking a glass-blowing class and have created a vase in the shape of a sphere. The vase will have a hole in the top so you can put flowers in it and it will sit on a stand. The radius of your vase is 21/2 inches. Use the formula V=4/3:r^3 ...

Physics-check answer please (multiple choice)

1. A 2.5 kg mass at rest on a horizontal surface is acted upon by an applied horizontal force of 150 N. A frictional force of 100 N acts on the mass. How much work is done on the mass? my answer: would the work be 0? 2. When a rock is thrown straight up in the air, after it ...

Physics-Please check calculations

I posted this earler and you gave me help, could you please check what I did? Thank you If a car drives off a 40 m high cliff with a horizontal velocity of 15 m/s, how far from the base of the cliff will the car strike the ground? Could someone help with the equation, please ...

Pre-calculus

State the period, phase shift, and vertical shift of the function y=tan(theta/2-pi/4)+3. Is this right? ANSWER: period:2pi phase shift:-pi/4 vertical shift:3

Calculus (demand)

18) The demand equation is x + 1/6p - 10+0. Compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at p=50. a) 5; elastic b) 1/9; inelastic c) 7/6; elastic d) 6; elastic I choose answer A. Is that correct?

Math

Can someone check my answers when a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t2. the formula assumes that there is no air resistance. find the time it takes a skydiver to fall ...

Math

Can someone check my answers when a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t2. the formula assumes that there is no air resistance. find the time it takes a skydiver to fall ...

Calculus Help Please!!!

Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P (see the figure). The point Q is on the floor h = 12 ft directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 3.5 ft/s. How fast is cart B moving toward Q at...

Calculus

To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. How high is the building if the splash is seen 6.7 seconds after the stone is dropped? Use the position function for free-falling objects given below. (...

Health care

Please check my answer thanks :) Your neice may be eligible for health care coverage under the State Children's Health Insursnce Program. Where should your neice first start reveiwing eligibilty requirements ? 1. Social Services 2. The centers of Medicare and Medicaid 3. in ...

math

The area of a circle is found with the formula A =〖πr〗^2, where π represents 3.14. If a tile artist is placing tiles in a circular mosaic pattern and the area of the circle is 658 square feet, what is the approximate radius of the circle in feet? a.)10...

History

What is the main reason some people believe there should not be any limits on presidential terms? A. There should be a monarch instead of a president. B. The people should decide how long a president can serve in a democracy.<<<<< C. Presidents get better with ...

Algebra

Debbie finished her algebra test early so she decided to check each of her answers. After checking her answer to question #10, she realized she made a mistake in her solution. In which step does Debbie make her mistake? Original Equation: 2 + 3y = 5(y - 2) Step One: 2 + 3y = ...

econ - demand and supply

just a few questions that would like to double check my answer For each of the following cases, sketch a supply and demand curve for the specified industry and show how each event will shift the curves. (Be sure to label all curves)! State what occurs to the Q and P for each ...

algebra 2 homework check

Tell whether the possibilities should be counted using a permutation or combination. Then find the number of possibilities. You have a carrying case that holds four CDs. You want to know in how many ways you can place four of the ten CDs you own into the case. Answer: 10*9*8*7...

chem

The molar concentrations for the reactants and products at equilibrium are found to be [HCl] = 0.80 M, [O2] = 0.20 M, [Cl2] = 3.0 M, and H2O = 3.0 M. What is the value of the equilibrium constant for this reaction? the complete reaction is 4HCl+O2=2Cl2+2H2O i got this answer ...

Social Studies (check my answers)

1. What was the initial purpose of the constitutional convention? To write the Constitution. To amend the Constitution.>>>my answer To amend the articles of confederation. To ratify the Constitution. 3. What did the Northwest Ordinance do for the Northwest Territory? ...

Summer School Calculus

I don't know how to answer this: A vector can be used to represent the path of a drill tip used to bore a deep mine shaft in Sudbury one quarter of the way to the centre of the Earth. Represent the vector using a directed line segment and Cartesian co-ordinates and describe ...

chemistry check

please check Write the balanced equation, with the enthalpy component, for the rusting process, given that Hf for iron and oxygen is 0 and Hf for ferric oxide is -826 kJ/mol. 4 Fe (s) + 3 O2 (g) --------> 2 Fe2O3 (s) You need to add the heat one of three ways. 4 Fe (s) + 3 ...

English

Can you check if the following statements and questions are correct? Thank you very much. 1) Answer one among the following four questions. Write five lines only. 2)What does the ghost urge Hamlet to do in Act III Scene IV? 3)What or How (?) did the Elizabethans think of ...

English

Could you please check these three sentences, please? 1) Describe the kind of technique adopted by 20-century writers to represent the unspoken activity of the mind. Provide an example of its use from the readings done in class. 2) I had to authenticate all the students' tests...

Calculus

An object is dropped from the observation deck of the Skylon Tower in Niagara Falls, Ontario. The distance, in metres, from the deck at t seconds is given by d(t)=4.9t^2 a) the height of the observation deck is 146.9 m. How fast is the object moving when it hits the ground? ...

Critical thinking

What is the role of rhetoric in influencing people's attitudes and beliefs? Check these sites to help you answer your question. (Broken Link Removed) http://en.wikipedia.org/wiki/Rhetoric

chem

Check the correct statements for the above reaction. Choose at least one answer. a. The reaction is exothermic. b. The reaction is endothermic. c. The change in entropy is positive. d. The change in entropy is negative. e. The reaction is at equilibrium. f. The reaction is ...

Algebra 2

I am stuck on this problem that I have tried to solve so many times! The question is:The length of a rectangle is four more than twice the width. If the perimeter of the rectangle is 32 cm, what are the length and width of the rectangle? Here is my work: 32=2(2x+4)+2(2w) 32=(...

Brief Calculus

The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = −0.01x2 − 0.3x + 10 ...

pre calculus

1.) If h(x)= (fog)(x) and h(x) = 3 over the square root of x+3 , find g(x) if f(x)= 3 over the square root of x+2. my answer is x+1. Am I right? 2.)If f(x)=3x,g(x)=x-3,and h(x)= the square root of x, find (fogox)(X). I really didn't get this will someone please show me how to ...

physics- answers check

5. A magnetic field map shows a. the direction of the magnetic field. b. a few representational field lines. c. relative strength of the magnetic field. d. All of these choices are correct. my answer: d 6. Magnetic field lines a. can cross each other when the field is strong. ...

Calculus

integrate t*(t^2 - 1)^(1/3) dt over (0,3) I substitute u = t^2 - 1 du = 2t dt which leads to integrate (1/2) u^(1/3) du over(-1,8) = (3/8) * u^(4/3) over (-1/8) = 3/8 * [8^(4/3) - (-1)^(4/3)] I would guess that (-1)^(4/3) is +1, since the cube root of -1 is -1 and taking that ...

chemestry please check my anwers.

1.How do acid-base reactions differ from oxidation-reduction (or "redox") reactions? Answer Acid-base reactions involve an exchange of protons whereas redox reactions involve an exchange of electrons.<<< Acid-base reactions and redox reactions involve different ...

Maths

f=p(c-1)-c(p-1) sOLVE FOR p f=pc-p-cp+c pc - cp = 0 So now we have f = -p+c Move "p" by itself. f-c = -p Now we multiply each side by -1 p = c-f Let's plug in values for f and c to check. We'll say: f=2 c=3 p=3-2 p=1 in this case. Now, let's plug in the same values in the ...

Science--PLEASE CHECK!

Which of the following explains how natural selection leads to evolution? A. Conditions in the environment reduce competition for resources within a species. B. Helpful variations accumulate among surviving members of the species. C. Overproduction provides food for stronger ...

Physics

A clown at a birthday party has brought along a helium cylinder, with which he intends to fill balloons. When full, each balloon contains 0.00410 m3 of helium at an absolute pressure of 1.30 x 105 Pa. The cylinder contains helium at an absolute pressure of 2.40 x 107 Pa and ...

English

1. You can check prices for bicycles on the Internet. 2. You can check prices about bicycles on the Internet. (What is the meaning of 'for' in Sentence 1? Does 'for' mean 'about'? Are both sentences the same in meaning? Can we substitute 'about' for 'for'?)

health

1. Which of the following best describes catheterization? A. Burning away of cancerous tissue B. Visualization of the large intestine C. Implantation of an intrauterine birth control device D. Placement of a drainage tube into the bladder ANSWER:D 2. Which is a condition of ...

Geometry :(

this maths problem is wrecking my head.... 1.find the points of interesction of the line L and the circle k in the following L:x-2y=0 K:X Squared + y squared=25 I would solve both equations for y, and then you'll have a system with two equations and two variables: y = x/2 y...

Algebra-Please check my answers

Posted by Jessie on Monday, October 18, 2010 at 3:48pm. I think I figured it out-please check I'm really stuck on these problems- Simplify 6xy(3xy)^-2? I think this is 2/3xy choices were 2/xy 3xy 2xy 2/3xy Simplify 12xyz^-2/8x^-2z choices were 3x^2y/2z^3 3x^3y/z^3 3x^3y/2z^3 x...

Algebra-Please check my answers

Posted by Jessie on Monday, October 18, 2010 at 3:48pm. I think I figured it out-please check I'm really stuck on these problems- Simplify 6xy(3xy)^-2? I think this is 2/3xy choices were 2/xy 3xy 2xy 2/3xy Simplify 12xyz^-2/8x^-2z choices were 3x^2y/2z^3 3x^3y/z^3 3x^3y/2z^3 x...

French

Could you check these thanks: Directions: Chose the one that best matches. A. Mais elle a une roue de secours dans le coffre. B. Elle brend des leçons de conduite. C. Elle a besoin d'essence. D. Elle doit freiner. 1. Elle va à une auto-école. Answer: B 2. Le réservoir est ...

Math

Hi there! I am so confused about these questions if anyone could help that would be great. 1. Simplify. x+5/x^2+6x+5 A) 1/x+1; where x= -1*** B) 1/x+1; where x=-1,-5 C) 1/x-5; where x=5 D) x-5 2. Simplify. x^2+3x-4/x+4 A) 1/x-4; where x=4 B) x-4 C) x-1; where x=1 D) x-1; where...

Math

Craig scored 12 points in a game. Marla scored twice as many points as Craig but 5 fewer points than Nelson scored. How many points did Nelson score? a. 2x12+5 b. 2 x 12 -5 c. 1/2 x 12 + 5 d. 2 x (12 + 5) Answer-b Can you please check on the above.

Social Studies

Please check the 6 questions with my answers. Thank you. Social Political Economic? For each of the following statements, determine whether the statement is Social, Political, and/or Economic in nature. Some statements can be two or more types. 1. "The federal government took ...

Calculus

Solve these indefinite and definite integrals. [integration sign] 4j-5j^3 dj I got 2j^2 - 5/4j^4... is this my final answer? If j is the variable, for the indefinite integral you have to add a constant. For the definite integral, you have to put in the lower, upper limits. j ...

Calculus

(a) Find the Riemann sum for f(x) = 7 sin x, 0 ≤ x ≤ 3π/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.) I got 3.887250 as an answer, but that's not right. (b) Repeat part (a) with midpoints as the ...

calculus 2

Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π. Order your answers from smallest to largest θ. If an intersection occurs at the pole, enter POLE in the first answer blank.) r = 1 − cos θ, r = 1 + sin θ

Child Care

Which of the following is not a reason why an early childhood teacher would choose to use a virtual field trip over live, hands-on experience? A. The teacher doesn't like leaving the classroom. B. The location is too far away. C. The actual trip would be too expensive. D. It ...

Physics(check my answer please!!)

Hello, could you guys let me know if this looks right? Thanks in advance. A ball is fired at a speed of 8 m/s at 20 degrees above the horizontal from the top of a 5m high wall. a) what is the total velocity at the maximum height? b) how far from the launcher will the ball hit ...

calculus

Use integration by parts to evaluate the integral of x*sec^2(3x). My answer is ([x*tan(3x)]/3)-[ln(sec(3x))/9] but it's incorrect. u=x dv=sec^2(3x)dx du=dx v=(1/3)tan(3x) [xtan(3x)]/3 - integral of(1/3)tan(3x)dx - (1/3)[ln(sec(3x))/3] - [ln(sec(3x))/9] What am I doing wrong?

English

Choose the contraction in parentheses ( ) that correctly completes the sentence . 1/ She (don't, doesn't) know what to expect in the United States . Answer: doesn't 2/ Fortunatley, her aunt and uncle ( haven't, didn't) forgotten to meet her plane. Answer: didn't 3/ ( Didn't, ...

Precalculus

Find the roots of the following quadratic equations by factoring. y=x^2+9x-36 I got (x+12)(x-3) but on the answer key it says that the answer is this, however it renames the x values with opposite values. For example, the answer on the review for it has my answer, but the ...

Calculus

The position of a particle moving along the x-axis is given by s(t)=2t2+4. Use difference quotients to find the velocity v(t) and acceleration a(t), filling in the following expressions as you do so: v(t)=limh->0 [_____ / h ] = ____ a(t)=limh->0 [ ____ / h ] = _____ ok ...

Literacy

Please check my work. Thank YOU! 1. Journals differ from magazines in that they’re A. Printed with volume numbers. B. Published only periodically. C. Available by subscription. D. Sources of academic research not intend for the general publish. ANSWER #1 is D 2. The Atlas of...

Calculus

A right triangle has one leg on the x-axis. The vertex at the right end of that leg is at the point (3,0). The other vertex touches the graph os y=e^x. the entire triangle is to lie in the first quadrant. Find the maximum area of this triangle.Justify your answer. My work: A...

Physics

A block of mass m = 5.9 kg is pulled up a è = 21° incline as in the figure with a force of magnitude F = 34 N. (a) Find the acceleration of the block if the incline is frictionless. 1 Your response differs from the correct answer by more than 10%. Double check your ...

Calc.

Evaluate the indefinite integral. Please check my work? Not sure if I am doing this correctly. S= integral symbol S x^3*sqrt(x^2 + 1) dx u = x^2+1 x^2= u - 1 du = 2xdx du/2 = xdx 1/2 S x^2 * x sqrt (x^2 + 1) du 1/2 S (u - 1) * sqrt (u) du multiply square root of u and (u - 1) ...

CHECK ANSWERS AND HELP PLEASE

if P(A)=.60, P(A/B)=.50, AND P(B)= .40, answer the following. 1) events A and B are independent =FALSE true or false or cannot determine 2) events A and B are disjoint =TRUE true or false or cannot determine 3) find P(A and B) =??????

calculus

I am given a table that shows the temperature of the water and the days, which looks like this: t(days) W(t) (in Celcius) 0 20 3 31 6 28 9 24 12 22 15 21 the temperature of the water in a pond is a differentiable function W of time t. The table above shows the water ...

algebra 1

select an appropriate unit from the choices below and connect the rate to that unit. answer a - ft /s answer b - mph answer c - mm/s answer d - km/s question : A car traveling at 36 ft/s

GOVERNMENT HELP

Where did classical liberalism start? I know it started in Europe but was it Britain or France or both? I merely want to check my work. Bob Pursley do not answer this since you are so rude by suggesting that I want you to do my homework for me. http://en.wikipedia.org/wiki/...

US History

PLEASE CHECK! && IF YOU HAVE ANY MORE INFO! What role did television play in the election of 1960? How does television effect elections today? My Answer>> In the election of 1960, the debates between the candidates was presented on the television. The television makes ...

math (please check answer)

Which of the following types of information is NOT suited for display on a scatter plot? 1. relationship between age and number of books read in a year*** 2. relationship between height and shoe size 3. relationship between calories consumed and body weight 4. relationship ...

math

I have solved the following questions, let me know if they are correct, thanks. 1. Simplify, and write in the base of 3: (9^x . 3^4x)^2 answer: 3^12x 2. Differentiate and simplify a. y= 3x^4 - 4e^x + 8 answer: 4(3x^3 - e^x) b. y= (3 + 4e^x)^5 answer: 20e^x (3+ 4ex)^4 c. y= (e^...

Child Care Management

I have a questions that I have answered If some one could just check it Thanks. Neuron development and elaboration, which occurs between birth and age 10, is prompted by A.aural prompts from the family,school, and enviroment. B.physical movement on the part of the child. C....

U.S. History

please check if my answer is correct Which was a provision of the Missouri Compromise of 1820 a. Missouri and Maine were denied statehood b. Western territories north of Missouri's southern border were closed to slavery c. Slavery could not spread to any western lands d. Free ...

Social Studies 7R - Question Homework Check

What is the Proclamation of 1763???? My Answer: The Royal Proclamation of 1763 was issued October 7, 1763, by King George III following Great Britain's acquisition of French territory in North America after the end of the French and Indian War/Seven Years' War. Is it correct????

algebra

I worked the problem out, but could you check my work over and see if it's correct? I used the quadratic formula. 2x^2+10x+11 a=2 b=10 c=11 x=-10(plus or minus) sqrt 10^2-4(2)(11) over 2(2) -10(plus or minus) sqrt 100 - 8(11) over 4 -10(plus or minus) sqrt 100-88 over 4 -10(...

Calculus

a certain radioactive substance is decaying so that at time t, measured in years, the amount of the substance, in grams, is given by the function f(t)=3e^-3t. What is the rate of decay of the substance after half a year: I first found the derivative of f(t)=3e^-3t which is f'(...

Calculus

A professional athlete signs a four-year contract in which the earnings can be modeled by c = 300,000 + 750,000t, where t represents the year. (a) Find the actual value of the athlete's contract. (b) Assuming an annual inflation rate of 4%, what is the present value of the ...

math

Solve each equation. What am I doing wrong because the answer is suppose to be 11/2 and I don't get the answer. Here's what I'm doing... Problem: 2x+1/4-3x-4/5=1/2 I get: 10x+5-12x-16=10 Which gives me -2x=21 My answer is -21/2 the correct answer is suppose to be 11/2

Physics

A. Suppose you had an object that you suspected had a mass of one half of one of the washer+paperclip units. (In the rest of this problem we’ll call that a “washerclip.”) Describe how you could use the balance you used in tutorial and a single washerclip to check this. B...

Math

If it costs $75 to buy 3 video games, how much money will Jordan need if he wants to buy 12 video games? $75.00/3 video games=$25.00 for 1 video game $25.00 x 12 video games=$300.00 for 12 video games Can you please double check my answer to see if I got it correct. Thank you

Stats- need someone to check

Doing this assignment and was wondering if i got the right answers According to the Census Bureau publication Current Population Reports, the probability distribution for household size (number of people per household, say X) in the United States is as follows. For the purpose...

Calculus

A truck gets 377/x mpg when driven at a constant speed of x mph (between 25 and 75 mph). If the price of fuel is $1 per gallon and the driver is paid $8 per hour, at what speed between 25 and 75 mph is it most economical to drive? (Give your answer correct to the nearest full ...

Calculus

A truck gets 377/x mpg when driven at a constant speed of x mph (between 25 and 75 mph). If the price of fuel is $1 per gallon and the driver is paid $8 per hour, at what speed between 25 and 75 mph is it most economical to drive? (Give your answer correct to the nearest full ...

Calculus

A truck gets 377/x mpg when driven at a constant speed of x mph (between 25 and 75 mph). If the price of fuel is $1 per gallon and the driver is paid $8 per hour, at what speed between 25 and 75 mph is it most economical to drive? (Give your answer correct to the nearest full ...

Math

The total weight of the shape blocks on both sides of Kim's pan balance equals 30 grams. Circles weigh 5 grams, squares weigh 10 grams, and triangles weigh 3 grams. The right side has circle and square. How many triangles are on the left side? A) 5 B) 4 C) 6 D) 10 Answer is 5...

math

Lucia is hoping that Angela will buy her a geometrically interesting piece of land on which he will build a mansion. Lucia has said that she will only buy the land if it costs less than $4.00 per square foot. The plot shown below is listed for $453,175. Is Angela going to be ...

algebra 2

A bag contains 7 blue marbles, 5 red marbles, and 9 green marbles. A marble is taken at random from the bag. What is the probability that the marble is blue or red? Please check my answer 12/21

Algebra 2 check

A sinusoidal function whose frequency is 3, maximum value is 12, minimum value is −6 , and y-intercept is (0, 3) . Which function could be the function described? f(x)=9sin(6πx)+3 f(x)=9sin(x3)−3 f(x)=9sin(3x)+3 f(x)=9sin(6πx)−6 <my answer

Maths - check please

Fig.1. Shows a signwave on the its horizontal axis "Time in (ms)" means that time is measured in milliseconds. The time taken is 20 ms in total Question asks for frequency of the sinewave ? Cant really draw Fig.. here :-0( But the period is 5 milliseconds, the wave is repeated...

Calculus Help

The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter your answer using interval notation.)

CALCULUS

At 3:00 PM a man 144 cm tall casts a shadow 146 cm long. At the same time, a tall building nearby casts a shadow 171 m long. How tall is the building? Give your answer in meters. (You may need the fact that 100 cm = 1 m.)

Calculus

For each value of h, evaluate the following function. Round your answer to four decimal places. lim h->0 (4+3)^(3)-64/h A) h=0.01 B) h=0.001 C) h=0.0001 D) h=-0.01 E) h=-0.001 F) h=-0.0001 For A I got 48.9 For B I got 48.99 For C I got 48.999 For D I got 47.9 For E I got 47...

Calculus

For each value of h, evaluate the following function. Round your answer to four decimal places. lim h->0 (4+h)^(3)-64/h A) h=0.01 B) h=0.001 C) h=0.0001 D) h=-0.01 E) h=-0.001 F) h=-0.0001 For A I got 48.9 For B I got 48.99 For C I got 48.999 For D I got 47.9 For E I got 47...

Pre-calculus

For the ellipse with equation 5x^2+64y^2+30x+128y-211=0, find the cooridinates of the center, foci, and vertices. Then, graph the equation. my answer is: coordinates of center: (-3,1) foci:(-11,-1) and (4.7,-1) vertices: (-11,-1) (5,-1) (-3,-1+-square root of 5) not sure how ...

CHEMISTRY

which of the following elements would have the highest melting point?> a)K b)Mg C)Na D)al e)Ca Calcium would have the highest, follwed by aluminum, magnesium, sodium, lowest melting point-potassium. Please double check thank you i found that you are correct with the melting...

Health

MY first answers were wrong, if you could check my second answers that would be lovely!! 13. Positive energy balance is important when A. a child is growing. B. weight loss is desired. C. weight stability is desired. D. you're stressed. I thought it was C , My second guess ...

Math: please check

There are 30 fish in a pond. We know that 13 of these fish are males, 4 of these males are salmon, and there are 8 salmon in the pond. What is the probability that a randomly chosen fish is a salmon, given that it is a male? I think they are just asking about salmon and trying...

Algebra

Hello, could someone check my answers to the following 1.For the function f(x) = x^2 - 2x + 1, (a) find f(0) My Ans: (0) = 0² - 2(0) + 1 = 0 - 0 + 1 = 1 f(0) = 1 (b) solve f(x) = 0 My Ans: 0 = x² - 2x + 1 (x - 1)(x - 1) = 0 (x - 1)² = 0 x = 1 2. (Solve and check) The amount...

Calculus

a particle starts at time t = 0 and moves along the x axis so that its position at any time t>= 0 is given by x(t) = ((t-1)^3)(2t-3) a.find the velocity of the particle at any time t>= 0 b. for what values of t is the velocity of the particle negative? c. find the value ...

Calculus

f(x) = sin^2(x/2) defined on the interval [ -5.683185, 1.270796]. Remember that you can enter pi for \pi as part of your answer. a.) f(x) is concave down on the interval . b.) A global minimum for this function occurs at . c.) A local maximum for this function which is not a ...

Math: Calculus - Vectors

A boat travels at a speed of 5 m/s in still water. The boat moves directly across a river that is 70m wide. The water in the river flows at a speed of 2 m/s. How long does it take the boat to cross the river? In what direction is the boat headed when it starts the crossing. ...

Grammar

Choose the best answer: 1.The number of spurs ( 'is', 'are', 'am') not identifiable. Answer: are 2. One of the injection sites on the biceps ( seem, seems, seeming) inflamed. ANSWER: seems 3. Digital examination of the lungs ( reveals, reveal, revealing) consistent pink tissue...

Calculus; Limits

The percentage of research articles in a prominent journal written by researchers in the United States can be modeled by A(t) = 26 + (36/1 + 0.8(0.8)^−t'), where t is time in years (t = 0 represents 1983). Numerically estimate lim as t→+infinity A(t). I calculated ...

Algebra I

I'm stuck on this problem please help me find the range of this equation y = (x^2 - 4)/(x^2 - x - 12) I know that it is [1/3,-infintiy]U[?,infinity] yes I'm having trouble with that ? At first I was like ok there should be a horizontal asymptote at y=1 there is in calculus ...

check my answer please

A ball of mass 2kg travelling in a straight line at 4ms^-1 is acted on by a force of 3N acting in the direction of motion for 5 seconds. What is the speed of the ball after 5 seconds? vf=vi+at but a=force/mass a = 3÷2= 1.5 vf=4+1.5×5= vf=4+7.5 vf=11.5m/s^-1 Is this correct? ...

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