# Calculus (Answer Check)

87,537 results, page 48

### Calculus 2 - springs

Hi could someone please help me answer this question: It requires 0.05 joule of work to stretch a spring from a length of 8 cm to 9 cm and another 0.10 joule to stretch it from 9 cm to 10 cm. Determine the spring constant and find the natural length of the spring. Thank you

### Pre-Calculus

Determine the derivative at the point (2,−43) on the curve given by f(x)=7−7x−9x^2. I know that the answer is -43, but I was wondering if it was just a coincidence that the derivative at the point (2,−43) is -43, or is there a reason why -43 is the same...

### Calculus

I'd really like some help in solving an integral. ʃ 1/ √x (1-3√x) In numerator: 1 In denominator: the square root of x times 1 minus 3 times the square root of x The answer given is -2/3 ln l1-3√xl + C but I don't know how to get there.

### Another problem to check..please check my work...

(-2x^2y)^3*(5xy^3)^2=(-2x^2y)^3 = -8 x^6 y^3 *Is this correct.? (-2x^2y)^3 * (5xy^3)^2 = (-8x^6y^3) * (25x^2y^6) = -200x^8y^9 When you have the same base, you add exponents when multiplying. For example, x^2 * x^3 = x^5. When you have the same base, you multiply exponents when...

### Physics -- check answers please

1. In moving an object of mass 10 kg through a distance of 8.0 m, 40 J of work is done. The average force exerted is? my answer: 320N 2. What is the kinetic energy of a 20 kg object moving at a speed of 10 m/s? my answer: 1000J 3. the gravitational potential energy of a bird ...

### language arts

tell which letter is a correct answer to the questions. a question may have more than one right answer. Which of the following can be inflamed? a. a wound b. a menu c. an interrogation d. a congregation (I know for sure an answer is 'a' but I'm wondering if c and/or d is an ...

### Chem.

Can you also check this one, Please and thank-you! 23. Acetylsalicylic acid, commonly known as ASA, is the most widely used drug in the world. ASA has the chemical formula, C8H7O2COOH, and a Ka of 3.27 X 10 – 4 mol/L. What is the pH of a 10 mol/L ASA solution? The pH of the ...

### microsoft 2013

10. David has a small business and is working on an Excel worksheet to help manage his inventory. David realizes cell E14 has the wrong output. To check the problem, David should first select cell E14 and look at the _______ to check the formula. A. range B. Formula bar C. ...

### Calculus Answer Confirming Not Sure Im Right Help?

Evaluate the lim a. lim x--> 64 (cube root x-4/x-64) (∛x-4)/(x-64) -> 0/0 so then let cube root x = u u-4/u^3-64 u-4/u^3-64 = u-4/u-4(u^2+4u+16) the u-4 cancel each other out leaving lim x->64 = 1/u^2+4u+16 1/64^2+4(64)=16 oddly i find the number to large am i ...

### Pre Calculus

The burial cloth of an Egyptian mummy is estimated to contain 56% of the carbon-14 it contained originally. How long ago was the mummy buried? (the half-life of carbon-14 is 5730). Please round the answer to the nearest tenth. I have figured that: m(t) = Moe(-ln2/5730) is a ...

### Calculus some1 plz!!!!

A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing at a rate of π/4 rad/min. How fast is the plane traveling at that time? (Round your answer to ...

### Calculus

Determine an upper/lower estimate for the area under the curve f(x) = cos x between x = 0 and x = pi/2 . Show how you arrive at this estimate. This is the question that my teacher wanted us to answer and I'm not sure how to even start the process. Should I use Reimann's Sum? ...

### write a check

How to write a check for 4,024.29

### equilibrium III

what's Kp if Cl2CO was found to be 7.46% decomposed at 395'C when initial pressure is 7.60atm. Cl2CO --> <-- CO + Cl2 Initial p = 7.60 atm. 7.46% decomposed. (CO) = 7.60*0.0746 = ?? (Cl2) = same ((Cl2CO) = 7.60*(0.9254) = ?? Kp = pCO*pCl2/pCl2CO Post your work if you get...

### Calculus

My book says to do the following problem via computer and via hand: Calculate the definite Integral of e^-x * cos x dx over (0, +infinity) My TI-89 calculator gets 1 (it gets the same thing when I replace infinity with 999). when I do this by hand, I get: 1/2. The formula e^-x...

### substitution method

-x-4y=-14 2x=y+1 Let's look at your two equations. -x - 4y = -14 2x = y + 1 Let's solve the second equation for y: y = 2x - 1 Now let's substitute (2x - 1) for y in the first equation: -x - 4(2x - 1) = -14 -x - 8x + 4 = -14 -9x + 4 = -14 -9x = -18 x = 2 Substitute 2 for x in ...

### Math

I have 3 questions: 1) If ABC and DEF are three- digit numbers, which of the following could be the number of digits in the product of ABC and DEF? i. 4 ii. 5 iii. 6 I don't have the vaguest idea on how to do this and what type of math it is part of... My answer is 6 only but ...

### Macroeconomics

Can someone check this for me? 1. Where in the US National Income and Product Accounts and the circular flow of expenditure and income do new home sales appear? ANSWER: I said they appear with money going from the households to the goods and services market. 2. How does a fall...

### Calculus

Consider the function f(x)=x−15x^1/3. For the following questions, write inf for ∞, -inf for −∞, U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist. a.) The domain of this function: (-inf,inf) . b.) ...

### Pre Calculus

please help me with this problem? I have the answer but I need to know how to do it. Write the slope intercept form the equations of the lines through the given point parallel to the given line and (B) perpendicular to given line. point slope ((7,-2) m= 1/2

### calculus

4. Given the function f defined by f(x) = cos2x for -π≤ x ≤π a. Find the x-intercepts of the graph of f. b. Find the x and y coordinates of all relative maximum points of f. Justify your answer. c. Find the intervals on which the graph of f is increasing.

### calculus

Identify any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = x^3 + 3x^2 + 3x + 2 x-intercept (x, y) = y-intercept (x, y) = relative maximum (x, y) = relative minimum (x, y) = point of inflection (x, y) = ...

### Math/Algebra

Find each sum or difference (3x^2 + 7x- 2)+ (2x^2 - 3x + 4) Answer: 5x^2 + 4x + 2 (4x + 8y) + (-7y + 3x) Answer: 7x+1y (x^2 + 4x - 1)+ (9x^2 - 8x + 9) Answer: 10x^2 - 4x + 8 (8x + 6) - (2x - 1) Answer: 6x+ 11

### Physics

You are driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/s2 . How much distance is between you and the deer when...

### French

Could you please check these answers to thanks. Directions: Answer the questions 1. La majoritè des élèves prennent le car scolaire pour aller à l' école? Answer: Oui, la majoritè des élèves prennent le car scolaire pour aller à l'école. 2. Les élèves prennent l' ...

### calculus

im not good in math. The Grand Canyon is 1600 meters deep at its deepest point; a rock is dropped from the rim above this point. Express the height of the rock as a function of the time t in seconds. How long will it tale the rock to hit the canyon floor? can someone help me ...

### pre-calculus

solve the following logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression. give the exact answer. then, use the calculator to obtain a decimal appromiation, correct to two decimal places, for the solution. In x=...

### calculus

I really hate to dump a problem like this on the teachers here, but I really need to get an answer to this. Thank you and I'm sorry. A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of...

### Calculus

Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for x>0. A. Find the x-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither for ...

### Meical Office procedures

I don't know if anyone is familiar with this or not, but i just need someones opinion. I have a critical thinking question and if a patient paid the office $125 for a bill; however the office then realized the insurance already paid $112 dollars. When the office realizes the ...

### Calculus

Solve the following initial value problem and determine the interval where the solution exists. dy/dt = 2ty^2 y(0) = y_0 Textbook answer is: When y_0 <> 0, then y = 1/(1/y_0 - t^2). When y_0 = 0, then y = 0 When y_0 > 0, the interval where solution exists is |t| < ...

### History

What problems did the Israelites face when they returned to Canaan? This is a religious, rather than a historic question. Please check your book or the Bible for the answer your teacher expects. As there is no physical historical evidence for Any of the events in the bible, ...

### history

please check president Roosevelt's progressive record included all the following EXCEPT a. conservation of forest land b. break-up of several trusts deemed harmful to the public c. regulation of food and drugs d. establishment of the Federal Reserve System the books says that ...

### History- check my answer, please!

Japan became a peaceful, democratic nation relatively quickly after the end of World War II. Which step was not part of its postwar transformation? disarming most of the military adopting a new constitution giving women the right to vote giving the emperor more political power...

### physics.

please check my answers. when a lamp is plugged into a 120 V socket, each coulomb of charge that flows in the circuit is raised to a potential engergy of 120 joules? which offers more resistance to water flow, a wide pipe or narrow pipe? I got wide as my answer. Similarly ...

### Algebra 2

PLEASE HELP WITH THIS-ITS DUE APRIL 5TH, 2011!!! During a past epidemic, the number of infected people increased exponentially with time, or f (t) = ab^t , where f is the number of infected people at time t, in days. Suppose that at the onset of the epidemic (0 days) there are...

### reading

Allusion- 1 Why did the author refer to "Hansel and Gretel"? 2 Why did this folk tale emphasize the horror of the Holocaust for Misha? 1 Because in Hansel and gretel the kids burned the witch and died but in Milkweed the jewish are burned. 2 Because it kind of resembles the ...

### Math

Not Urgent But Please Check My Answer: A pencil at a stationery store costs $1, and a pen costs $1.50. Stella spent $21 at the store. She bought a total of 18 items. Which system of equations can be used to find the number of pencils (x) and pens (y) she bought? I think it is ...

### BIOL 100 ANSWER CHECK

EXPLAIN HOW POLAR COVALENT BONDS ARE CREATED. atoms within the bond do not have the same pull on the shared electron, and as a result the electron spends more time around one atom relative to the other atom within the bond.

### Precalculus

Please check. I did these problems by drawing a graph ... So it would be great if you do it that way too if you need to correct me. I know this is overwhelming but please take your time... It is easier for me to post all of these at once,since I can find it easier rather than ...

### Calculus

A ladder 8 meters long is leaning against a wall. If the top of the ladder is slipping down at the rate of 8 meters per second, how fast is the bottom moving away from the wall when it is 7 meters from the wall? Please give your answer in , enter it without the units.

### Calculus Reposted

A point is moving along the curve xy=12. When the point is at (4,3), the x-coordinate decreases at the rate of 2cm/sec. How fast is the y-coordinate changing at that point? dy/dx=-y/x is my change rate so far, should i substitute the coordinates (x,y) to the equation or just ...

### math-calculus

i did this question long time ago and i realize today that at back of book answer be different. write the following absolute value functions as piecewise functions. g(x) = |x+1| positive be x+1 negative be -(x+1) but in back of book it says negative one be -x-1 if x is less ...

### Calculus

The maker of an automobile advertises that it takes 11 seconds to accelerate from 15 kilometers per hour to 90 kilometers per hour. Assuming constant acceleration, compute the following. What is the distance the car travels during the 11 seconds (Round your answer to two ...

### Dog Breeds

Please check my answer thanks 20. Suppose the AKC is considering recognizing a new dog breed that's medium in size and quite good at flushing game birds out of hiding and then retrieving them. This new breed would likely be categorized in which group? A. Hound B. Sporting C. ...

### chemistry(check my steps)

The electrochemical cell described by the cell notation has a standard cell potential of -0.35 V. Calculate the Wmax (kJ) the cell has done if 1893.5 g of MnO42-(aq) (Molar Mass - 118.94 g/mol) forms. Round your answer to 3 significant figures. Pt(s) | Hg22+(aq), Hg2+(aq)||...

### science please check my answer

A boy climbs to the roof of his house and drops a 0.40 kg rubber ball from the 7.5-meter peak of the house. How much energy was lost in the process? So I got 48 J is this correct? The bounce takes place over a 170 ms time interval. What is the impulse given to the ball during ...

### Organic Chemistry-pls check

Which is the major product from acid catalyzed hydration (addition of water) of 2-methyl-2-pentene? a) 2-methyl-2-pentanol b) 2-methyl-1-pentanol c) 2-methyl-3-pentanol d) 3-methyl-3-pentanol answer: "c": 2-methyl-3-pentanol ???

### Calculus - Hydrostatic Pressure

Please check my work: Find the hydrostatic pressure on one end of a water trough full of water, the end of which is a trapezoid with given dimensions: top of trapezoid = 20 feet, sides of trapezoid both = 8 feet, bottom of trapezoid = 12 feet. Depth of water = 8 feet Density ...

### Pre calculus

How do I solve this exponent problem? I understand the exponent rules, but I getting 1 but 1 is not the answer! I don't want anyone to solve the problem for me, I want to learn how to solve this type of problem. Thank you! Solve the equation: -8=-3-6 (3sqrtx^2) Thanks again!

### algebra

a bank has 2 checking plans. the anywhere plan charges 15 cents per check. accucheck costs 1.65 a mont, plus 4 cents per check. what # of checks will accucheck plan cost less than anywhere plan?

### algebra homework

please check my answers. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln sqrt x+6 = 9 i got {e^9-6} log (x + 4) = log (5x - 5) i got: 9/4 log (x + 30) - log 2 = log (3x + 2...

### Math Help

Hello! Can someone please check and see if I did this right? Thanks! :) Directions: Find the exact solutions of the equation in the interval [0,2pi] cos2x+sinx=0 My answer: cos2x+sinx=cos^2x-sin^2x+sinx =1-sin^2x-sin^2x+sinx =-2sin^2x+sinx+1=0

### Can you check an answer for me?

There is a jar with 16 marbles. 4 are red, 7 are blue, and 5 are green. You select two marble at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a red marble and then another red marble? a. 3/64 b. 1/4 c. 1/20 d...

### chemistry/check please

1) Oxygen and boron are in the same period . When they form a compound----- is written first.Phosphorus and arsenic are the same group. When they form a compound------is written first. A) oxygen/phosphorus B)oxygen/arsenic C)boron/phosphorus D)boron/arsenic answer is D 2) The ...

### check my precalc

Rewrite each of the following as a product of linear factors 1. x^2+3 My Answer: (x+iroot 3)(x-iroot3) 2. x^2-2x+3 MA: (x-(1+iroot2))(x-(1-iroot2)) 3. x^4+x MA: IM not sure how to do it! can you help? 4. x^5-x^4+5x^3 MA: x^3(x-(1+iroot19/2))(x-(1-iroot19/2)) 5. 3x^2+7 MA: NOT ...

### Grammar Answer Check

1. (Use the gerund trembling as a object of a preposition.) A: My body perspires heavily instead of trembling. 2. (Use the gerund longing as a direct object.) A: My longing makes my heart ache.

### English check

1. In the movie 10 things I hate about you, who is Mandela, Kat's friend, fond of? Is the answer Michael 2. In the movie 10 things I hate about you, how does Michael win Mandellas affection? I need help with this one!

### English grammar.

Please check my answer! What is the capitalized phrase? TO SCORE ACCURATELY, bowlers must learn what the terms spare, strike, and split mean. Infinitive phrase**** Gerund phrase Adverb phrase none of the above I though that the capitalized phrase was an infinitive phrase.

### Math

determine the domain. express in interval notation. y = rt(x^2-7x+10) i know this much- y = rt[(x-5)(x-2)] now what do i do? If you mean by rt the square root of, then the domain is all positive values of (x^2 -7x + 10). So the answer to your question is when is that ...

### Chemistry

Help me set them up and then check my answers? Round your answer to the correct number of significant digits and show work. 1. How many grams of NaI would be used to produce a 2.0 M solution with a volume of 10.00 L? 2. What is the molarity of a 2.50 x 102 cm3 solution ...

### Chemistry;HELP

Help me set them up and then check my answers? Round your answer to the correct number of significant digits and show work. 1. How many grams of NaI would be used to produce a 2.0 M solution with a volume of 10.00 L? 2. What is the molarity of a 2.50 x 102 cm3 solution ...

### Bio

The binding of alanine to tRNAala is mediated by the enzyme...... a. aminoacyle-tRAN SYNTHSE b. amino-tRAN SYNTHSE c. aminoacyle-tRAN synhetase d. amino-tRAN syntase I think the right answer is c, but not sure. Please check

### Calculus

Redo problem 8 in section 6.3 of your textbook (page 288) assuming that the parents need $105000 in 9 years for college expenses, and that the bank account earns 9.25% compounded continuously. Round your answers to the nearest cent. (You may need to compute your answers to 4 ...

### Math please check my answer?

1)6x+11y=30 A) x-intercept= (-24,0);y intercept =(0,19) B)x-intercept=(0,1/5);y intercept=(11/30,0)<<<< C)x-intercept= (5,0);y intercept=(0,30/11) D)x-intercept= (24,0);y intercept=(0,19)

### Sociology

I'm trying to double check my answers. These are the answers I believe to be correct. Please let me know if I am right or wrong. Thank you. . Networking has (Points : 1) a) Increased in importance b) Rely upon electronic communication c) Rely upon personal contacts d) All of ...

### calculus

Lim sin2h sin3h / h^2 h-->0 how would you do this ?? i got 6 as the answer, just want to make sure it's right. and i couldn't get this one (use theorem 2) lim tanx/x x-->0 and also this one (use squeeze theorem to evaluate the limit) lim (x-1)sin Pi/x-1 x-->1

### GK or Dr.Bob222...Chemistry please help...

Please refer to the previous post Chemistry Help Please. Moles of S203^2- = (molarity)(volume): =(0.032400 mol/L)(0.053 litres S203^2-) = 0.03240 moles S203^2- Posted by DrBob222 on Wednesday, October 22, 2008 at 9:37pm in response to GK..please check...Chemistry Help Please I...

### Algebra 2

so i got a question and would like to know if i did this right For problems 1 through 38, transform the given expression to simple radical form. You can check your answer by evaluating it and the original expression by calculator. on the previous page this definition was given...

### Dissociation Equations Answer Check

1. Write the equation for the dissolution of potassium iodide in water. KI(s) + H20 --> K+ (aq) + I- (aq) 2. Write the equation for the dissolution of magnesium bromide in water. MgBr2(s) + H20 --> Mg2+ (aq) + 2Br- (aq)

### algebra

x+1 -x+2 = x+3 ____ _____ ____ 2 3 4 How do I solve this equations? These are fractions mi don't know I'm going to assume your problem is this: (x+1)/2 - (x+2)/3 = (x+3)/4 ...and you are trying to solve for x. If so, here's how you would go about it: First, get rid of the ...

### Math check my answers

1. Evaluate. 8d - 10 for d = 4 A.32 B.22*** C.26 D.46 2. write an algebraic expression for the sum of 3 coins and c coins. A.c + 3*** B.c/3 C.3c D.c-3 3. Find the solution of the equation from the given numbers. x - 2 =16: 14, 18, 21, or 12 A.12 B.14 C.18*** D.21 4.use mental ...

### Geography

Last time I asked this question, I forgot to come back here and check so I'm really sorry that I'm asking again but i need an answer to this!! because this exam was supposed to be due Monday 29. What forms the basis of the Czech economy? a. subsistence farming b. arms ...

### english check?

In “Harrison Bergeron,” Kurt Vonnegut’s purpose is to show readers (Points : 5) the danger of letting extremely strong people have freedom. the value of keeping all people at the same level of potential and achievement. the ugliness of violent revolt in the face of ...

### Check my answers L.A

Which of the following phrases or sentences from the novel best describes the setting as the action of the story begins? A. And so, in a crooked little house at the head of Hancock's wharf on crowded Fish Street... B. On one side of the deserted wharf were warehouses, on the ...

### Health PLEASE CHECK ANSWERS

Help Please Can u check my answers? < = my answer If you do not experience some pain from your workouts, you are probably wasting your time: A.myth < B.fact You should still watch what you eat when you are exercising, in order to maintain a healthy weight: A.myth B.fact...

### Chemistry

You are completing tests using a weather balloon and want to check the temperature at 3000 meters into the air. You check if the balloon will not burst before it gets to that altitude. You will need to perform a few calculations. The manufacturer of the balloon guarantees it ...

### Math Project..Please help me..

1. Samuel is 2/3 as old as his brother. In five years, he will be 3/4 as old as his brother will be. Find their present ages. a. If x = the brother’s age now, write an expression for Samuel’s present age in terms of x. b. Write an expression for the brother’s age in five...

### math

how do you write an equation and state what the variable n represnts. 54 -n- =24 If you're writing an equation where you need to state what the variable is, then you need to end up with an equation where n is the only thing on one side of the equal sign. Take your equation: I ...

### physics

Determine the acceleration and normal force of system below. Assume no friction, the mass equal to 10.0 kg and the angle equal to 60.0 degrees. Assume gravity equals 9.8 m/s/s. The picture looks like a right triangle with a box sliding down it. I am a 9th grader in conceptual ...

### Social Studies

What effect did United States policy have on the Soviet Unions war in Afghanistan and why did Soviet troops finally withdraw from Afghanistan in 1989? A. With U.S. support, the Soviet Union defeated the Afghan rebel forces. B. During peace talks, Ronald Reagan convinced the ...

### french

Can you check these thanks. Part 1 Directions: Répondez selon le modèle. Elle va souvent à Montréal? Oui, elle y va souvent. (As you can see we are now learning the pronoun y) 1. Ils vont souvent à Paris? Answer: Oui, ils y vont souvent. 2. Ils restent longtemps en France...

### calculus help again

if f'(x)=cos x and g'(x)=1 for all x, and if f(0)=g(0)=0, then the limit x--->0 fo function f(x)/g(x)= okay, so f(x)=sinx g(x)=x and the f(0)=g(0)=0 is also satisfied and equals o. so the limit x-->o of sinx/x= is the answer nonexistent according to the conditions of ...

### Calculus

Show that the curve y=6x^3+5x-3 has no tangent line with slope 4. The answer key says that m=y'=18x^2+5, but x^2 is greater than or equal to 0 for all x, so m is greater than or equal to 5 for all x. I don't understand that x^2 is greater than or equal to zero. Where did that ...

### pre algebra answer check

You are standing 400 feet from the base of the Space Needle in Seattle, Washington. Using a laser range finder, you measure the distance to the top of the Space Needle to be 725 feet. Find the height of the Space Needle to the nearest foot. I got 629 ft.

### Algebra - Check My Work

For Question 1-8 Simplify the Radical Expression *** - My Answer 1.√45 3√5*** 2.√180x^2 6x√5*** 3.√150x^3 k^4 5xk^2√6x*** 4.√21y * 5√49y 35y√21*** 5.(The square root sign applies for the whole equation; both numerator and ...

### Calculus - Second Order Differential Equations

Solve the boundary-value problem. y''+5y'-6y=0, y(0)=0, y(2)=1 r^2+5r-6=0, r1=1, r2=-6 y=c1*e^x + c2*e^-6x y(x)=c1*e^x+c2*e^-6x y'(x)=c1*e^x-6*c2*e^-6x y(0)=c1+c2=0, c1=-c2 y(2)=c1*e^2+c2*e^(-12)=1 -c2*e^2-6c2*e^(-12)=1 -c2(e^2-6*e^-12)=1 c2=-1/(e^2-6e^-12) c1=1/(e^2-6e^-12) y...

### calculus

I posted this below, and no one answered. Please help with this very complicated question! Using 3(x-3)(x^2-6x+23)^1/2, as the chain rule differentiation of f(x)=(x^2-6x+23). Please explain how I find the general solution to the differential equation dy/dx= 2/27(x-3)SQUARE ...

### calculus

I posted this below, and no one answered. Please help with this very complicated question! Using 3(x-3)(x^2-6x+23)^1/2, as the chain rule differentiation of f(x)=(x^2-6x+23). Please explain how I find the general solution to the differential equation dy/dx= 2/27(x-3)SQUARE ...

### Calculus

Camille purchased a 10-yr franchise for a computer outlet store that is expected to generate income at the following rate measured in dollars/year. R(t) = 400,000 If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (...

### Calculus applications

A steel factory wishes to make a cylindrical container, of thin metal, to hold 100cm³, using the least possible area of metal. If the outside surface is S cm² and the radius is r cm, show that S = 2πr² + 200r-1 and hence find the required radius and height for the ...

### PLEASE CHECK

1.)Solve for y in the following system of equations. x + 4y = -38 -x - 6y = 58 My answer 1.) -10 2.) 6 3.) 12 4.) 10 2.)Solve for y in the following system of equations. x - 10y = -50 -4x + 6y = -4 1.) -6 2.)3 3.)-3 My answer4.)6

### maths-check my answer

change the subject of the formula make x the Subject of the formula y = 1/2 x + 1 -2 from both sides y-2 = 1/2 x ÷ by 1/2 from both sides y-2/1/2 = x

### Algebra 2 Answer Check

Solve each equation. 1. (|3x -4|)/(-5) = 6 A: no solution 2. (|2x -5|) = x + 3 A: x = 8 or x = 2/3 Solve each inequality. 3. |5x + 15| > 20 A: x > 1 and x < -7 4. [(|x - 2|)/ (4) greater than or equal to 5 A: -18 < x < 22 5. (-3) x (|5x - 8|)- 5 greater than or ...

### Physics -- check answers please

1. Which of the following energy transformations best describes the operation of a solar powered battery charger? (a) electrical energy --> thermal energy --> kinetic energy (b) nuclear energy --> potential energy --> chemical energy (c) thermal energy --> ...

### math check answers

For questions 3 and 4, you will be answering by filling in the blank. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will...

### CALCULUS HELP !

f(x)=(-3x^3-x^2-9x-8)/(6x^2+4x+3. Find the equation of the non-vertical asymptote. y= Does f(x) intersect its non-vertical asymptote ? What is the smallest value of x at which f(c) intersects its non-vertical asymptote ? please show all the work. I did this and got the wrong ...

### behavior problems(dogs)

please check my answer thanks Ideally, when working on a behavior problem, you'll show the owners ways to A. reorganize the environment so the dog has fewer chances to misbehave. B. discipline a dog correctly and not spoil him. C. teach some commands that will be useful if ...

### Calculus

Find normals to the curve xy+2x-y=0 that are parallel to the line 2x+y=0 I have the answer: at(-1,-1), y=-2x-3, and at (3,-3), y=-2x+3 How do we get this? Thanks. xy + 2x - y=0 x dy/dx + y + 2 - dy/dx=0 dy/dx (x-1)= -y-2 dy/dx= - (y+2)/(x-1) The normal to this has a slope of (...