Wednesday
April 23, 2014

Posts by Heather


Total # Posts: 953

Calculus 3
Let u=j+k and v=i+jsqrt2. a) Calculate the length of the projection of v in the u direction. b) Calculate the cosine of the angle between u and v. Your help is very much appreciated!

math
solve the following exponential equation e^x-4=-e^-x when I work i get x-In(u) is this correct

calculus
use the properties of logarithms to condense the logarithmic expression. write the expression as a single logarithms whose coeffient is 1. Inx+In5=? Can you show work

calculus
I am sorry. This is the equation. Solve the follow exponential equation e^x+e^-x=6

calculus
solve the inequality e^x+e^x-x=6 can you show work

calculus
should I go farther or is that it. I don't know it that it the final answer--I think that is what is bothering me?

calculus
solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the orginal logarithmic expression. In square root x+7=1 I get this far and then get stuck, can you help me? In square root x+7=1 e=square root x+7 e^2=x+7 x+7=e^2 x=e^2-7

math
chane the logarithmic expression to an equivalent expression involving an exponent log416=x **the 4 is supposed to be dropedd down lower by the g.**

math
find the inverse of the following function. find the domain, range and asymptotes of each. f(x)=In(x+1)+1 please show work.

math
Yes, Reiny you caught the typo It should read f(x)=x^2+2x-8, thank you for catching that. So, now my answers will change that Riana gave. Right?

math
answer the following for the given quadratic function. f(x)=x^2+x^2-8 a. what is the vertex (h,k) of f? (h,k)=? simplify your answer and type the answer in an ordered pair b. what is the axis of symmetry?

math
x+6=> if -5 less or equal to x < 1 9=> if x=1 -x+5=> if x>1 Sorry, still learing exactly how to post questions with the right signs the right way.

math
the function f is defined as the follows f(x)={x+6 if -5 less than or equal to x < 1 {9 if x = 1 {-x+5 if x > 1 a. find the domain of the function f is? b. locate any intercepts; if any please show work

calculus
solve the following inequality 15x-16 less than or equal to 15/x is the point x=0 included in the solution set of the inquality? are the other finite pointsa of the interval included in the solution set? what is the solution set? please show work

calculus
find the function that is finally graphed after the following transformations are applied to y=square root x in the order listed. a. reflected about the x-axis b. shift up 7 units c. shift right 5 units y=? would the answer be: y=sqrt(-x-5)-7

calculus
for the function f(x)=5/x+4, find the average rate of change of f from 1 to x. please show work

calculus
graph the following function using transformations. Be sure to graph all the stages on one graph. state the domain and range. y= -3/x/+1 NOT QUITE SURE HOW TO MAKE THE STRAIGHT UP AND DOWN LINE, INSTEAD OF THIS--/.

calculus--please help!!
given the following piecewise function F(x)={x+11 for -9¡Üx<-3 2 for -3¡Üx¡Ü2 2x-6 for 2<x¡Ü5 {--this symbol is to be around all three of the lines. Find: a. the domain b. the range c. the intercepts d. if f continious on its d...

calculus
find an equation for the line with the given properties. express the equation in slope-intercept form containing the points. P=(-5,4) and Q=(-4,2) plz show work

calculus
find the distanced(p_1&P_2) between points P_1 and P_2. P_1=(4,-5) and P_2=(3,4) plz show work

trigonometry
A 100-foot vertical antenna is on the roof of a building. From a point on the ground, the angle of elevation to the top and the bottom of the antenna are 51 degrees and 37 degrees, respectively. Find the height of the building to the nearest foot. How would you solve for these?

calculus-can someone please help me with this ques
I can get part of the answer then I get stumped. find the center and radius of the circle, Write the standard form of the equation. (4,3)(1,3) to get center: (1+4/2, 3+3/2)=5/2,3 answer:5/2,3 for center radius: then i am stuck

college algebra, Please help!!
a circle has the equation x^2+y^2+6x-6y-46=0 find the center and the radius of the euation. If there are any intercepts list them.

college algebra--need help please!!
write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k) r=10; (h,k)=(8,-6)

calculus
If (a,-12) is a point on the graph of y=x^2+7x, what is a? please show work

calculus
Plot the points and determine the slope of the line containing them. (-7,-4)(8,-4)

trigonometry
An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway, both on one side of the plane. If the angle of depression to one car is 34° and to the other is 51°, how far apart are the cars? (Round y...

trigonometry
An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 35° and to the other is 55°. How far apart are the cars? (Round ...

physics
A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 1.00 m and a mass of 600 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4,000 rev/min. (a) Find the kinetic ener...

Statics
For each of the following, state (using symbols) the null and alternative hypotheses. a. Is the mean IQ of a sample of 60 children significantly below the national average of 100? b. Is the proportion of men in the class more than that expected by chance? c. Does the mean spee...

Statics
In a chocolate chip cookie investigation, you decide to compare two cookie sources. Source 1: Mom mails to you a package containing a dozen of her homemade chocolate chip cookies. Source 2: You purchase a dozen of a store brand of chocolate chip cookies at the convenience stor...

Statics
You wish to test whether or not a coin is fair, so you toss it 400 times and obtain 220 heads. Test the null hypothesis that the coin is fair and balanced against the alternative that it is not fair and balanced. Use the 1% significance level. Be sure to identify the null and ...

Statics
You suspect that, on the average, professional baseball players are older than professional football players. A random sample of 30 professional baseball players has a mean age of 28.8 years (assume ó = 4). A random sample of 40 professional football players has a mean ...

Statics
An apple grower is trying to produce larger fruit by using a new fertilizer. The usual fertilizer produces fruit with a mean diameter of 8.7 cm. Two new fertilizer brands are under consideration, with the following experimental results: BRAND A: n = 10, mean = 9.5 cm, s = 4 cm...

Statics
Assume that the population is normal. A sample of size 100 is taken. The resultant sample data has a mean of 48 and a standard deviation of 15. Construct the 99% confidence interval for the population mean.

Statics
An automotive engineer wants to use 64 test runs to estimate the true mean tire stopping distance. The standard deviation is assumed to be 32 feet. What is the probability that the error of the estimate will be more than 4 feet?

Statics
17. The Student Health Service assumes, based on historical data, that the height of female students is normally distributed with a standard deviation of 3 inches. The school nurse wants to estimate the average height of this year’s entering female students by examining t...

physics
Two astronauts, each having a mass of 78.5 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.50 m/s. Treating the astronauts as particles, calculate each of the following. ...

physics
A potter's wheel having a radius 0.45 m and a moment of inertia of 14.9 kg · m2 is rotating freely at 49 rev/min. The potter can stop the wheel in 8.0 s by pressing a wet rag against the rim and exerting a radially inward force of 72 N. Find the effective coefficien...

calculus
use the given zeros to find the remaining zeros of the function h(x)=x^4-9x^3+12x^2+138x-1360 zero:3-5i enter the remaining zeros of f please show work

Statics
In designing an experiment, a psychologist is willing to assume that the underlying distribution for the time to learn a list of words is approximately normal with a standard deviation of 40 seconds. He wants to be 95% sure that the maximum error of his estimate of the mean i...

Statics
A power company takes a random sample of its delinquent account files. For 400 accounts, the average delinquent amount was $239.30 with a standard deviation of $14.52. With 99% probability, determine the maximum error of the estimate for the mean of all the delinquent accounts.

Statics
A random sample of 100 cans of peaches has an observed mean weight of 48.5 ounces and a standard deviation of 2.4 ounces. Determine the lower limit of the 95% interval for the true mean weight. The can label says that the can weights 48 ounces. Comment on this claim.

Statics
=2.325(3.25/ square root of 100) =75.5625

Statics
A candy machine distributor collects the coins from 100 machines. The standard deviation is $3.25. With probability 98%, what is the maximum error about the true mean that will result?

physics
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 1.053 rad/s2. (a) What is the moment of in...

Calculus 2
Thank you soooooooo much!!!!

Calculus 2
The following function has a series of the form the sum from n=0 to infinity of c(subn)x^n. Calculate the coefficients c(subn) and express the power series in summation notation. f(x)=(pi*x)/(pi*x+1) Thank you so much for your help!!!!

Calculus 2
The function ln(x-1) can be expressed as a Taylor Series of the form sum of c(subn)(x-2)^n. Calculate the formlua for c(subn).

Calculus 2
Calculate c(sub0), c(sub1), c(sub2), c(sub3), and c(sub4) for the power series the sum from n=0 to infinity of c(subn)x^n that represents f(x)=tanx. Use the first two nonzero terms of the series to approximate the tangent of 1/4 radian. Compare your approximation with the actu...

college algebra, Please help!!
change the exponential expression to an equivalent expression involving a logarithm. 1.9=a^6 a=1.1129 is this the correct logarithmic expression???

college algebra, Please help!!
find the f and g, so that fOg= H H(x)=sqrt x^2+17 please show work

college algebra--need help please!!
find the domain of the composite function fog. f(x)= 2/x-3; g(x)= 7/x please show all work.

college algebra--need help please!!
solve the following exponential equation. use exact answers only. not sure how to put it into the equation but it is 2 then 1-9x where the 1-9x is above the 2=e2x where the 2x is above the 2. Can someone tell me or explain to me how to put this equation the right way here.

math
in the number 288, explain how the value represented by the digit in the tens place is related to the value represented by the digit in the ones place.

algebra
form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:-3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?)

college algebra--please help
solve the following inequality 70x-51<70/x I get this--but I do not know how to write the final answer in a solution set 70x-51<70/x 70x^2/x - 51x /x - 70/x < 0 70x^2 - 51x - 70/x <0 (10x + 7) (7x - 10)/x <0 x=0 (10x + 7)= 0 (7x - 10)=0 Can you please help me to...

college algebra
Solve the inequality algebraically 11x-3¡Ý-4x^2

college algebra--please help
Form a polynomial f(x) with real coefficients having the given degree and zeros. degrees 5; zeros 1; -i; 7+i please show all work. I am having a hard time understanding this.

college algebra
find the complete zeros of the polynomial function. write f in factored form. f(x)=x^3-7x^2+25x-39 please show all work. I do not understand this.

physics
A satellite has a mass of 106 kg and is located at 1.96 106 m above the surface of Earth. (a) What is the potential energy associated with the satellite at this location? J (b) What is the magnitude of the gravitational force on the satellite? N

physics
A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 34.0 m/s. With what maximum speed can it go around a curve having a radius of 60.0 m?

Calculus 2
thank you so much!

Calculus 2
thank you! we are supossed to use Lopital's rule though. Is there a different way to do it using Lopital's?

Calculus 2
Find the limit as x approaches infinity of (1-(1/(2x)))^(2x).

Calculus 2
integral from 1 to infinity 4/(x^2)(x^2+1)dx

Calculus 2
integral from 0 to infinity of 1/(pi^2+x^2)^(3/2)dx

Chemistry
Describe what is happening in regards to the heat energy, temperature, molecular potential energy, and molecular kinetic energy when water is boiling.

Statistics
male heights are normaly distributed with a mean of 70 and a standard deviation of 2.8 inches. for two randomly selected guys, what's the probability that both of them are 67 inches or shorter? show calculations. Can someone please help me quickly with this question?

Calculus 2
Please help! I just don't know what to put inside the integral!

Calculus 2
The pressure P of a gas is related to its volume V by the formula P=k/V where k is a constant. A quantity of gas with an initial volume of 1 cubic meter and a pressure of 2.5 newtons per square meter expands to a volume of 16 cubic meters. Find the work done by the gas.

math
plug 2x into y. 6x-2x+8 4x+8

Finance
6. You are considering an investment in a one-year government debt security with a yield of 5 percent or a highly liquid corporate debt security with a yield of 6.5 percent. The expected inflation rate for the next year is expected to be 2.5 percent. a. What would be your real...

Calculus 2
the integral from 0 to 1/4 of arcsin(x^(1/2))dx.

Chemistry
If you have 1.80 moles of H2, how many gram of NH3 can be produced?

Calculus 2
Solve the differential equation: dy/dx = y^2 + y

Calulus 2
Solve the differential equation: dy/dx = y^2 + y

Algebra
Suppose you invest $5000 at an annual rate of 4% compounded continuously how much will be in the account after 5 years?

Chemistry Lab
You want to determine the heat generated in a gas-producing reaction. Is this possible? If so, describe the design of such a calorimeter. If not, describe why this cannot be done. Your help is much appreciated!

physics
A neutron in a reactor makes an elastic head-on collision with a nitrogen atom that is initially at rest. (The mass of the nitrogen nucleus is about 14 times that of the neutron.) (a) What fraction of the neutron's kinetic energy is transferred to the nitrogen nucleus? (b)...

physics
A billiard ball moving at 5.60 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.99 m/s, at an angle of 27.0 with respect to the original line of motion. (Enter the direction with respect to the original line of motion. Include the ...

physics
A railroad car of mass 2.7 104 kg moving at 3.50 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision? m/s (b) How much...

U.S. History
Explain the domestic problems confronted by the United States during World War I.

Chemistry
Assuming that the gases are ideal, calculate the amount of work done (in joules) in the following reaction. Is work done on or by the system? A reaction in the Mond process for purfying nickel(0) tetracarbonyl at 50-100 degrees Celsius. Assume one mole of nickel is used and a ...

Chemistry Lab
Does the pressure exerted by a gas depend on its molar mass?

physics
Identical twins, each with mass 59.6 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 3.00 m/s to Twin B. Neglecting any gravity effects, what are the subsequent...

Physics
How much greater is the energy of a photon of ultraviolet radiation (λ = 3.00 × 10-7 m) than the energy of an average photon of sunlight (λ = 5.60 × 10-7 m)?

Chemistry Lab
thank you so much for your help!

Chemistry Lab
Hydrogen gas was collected over water in a eudiometer at 26 degrees celcius when the atmospheric pressure was 756 mm Hg. What was the pressure of the H2 gas?

physics
A 2.1 103-kg car starts from rest at the top of a 5.9-m-long driveway that is inclined at 19° with the horizontal. If an average friction force of 4.0 103 N impedes the motion, find the speed of the car at the bottom of the driveway.

Calculus 2
we are supossed to do it both ways. i got it using the u-substitution method. we are supossed to show that the answers are equivalent.

Calculus 2
find the integral of x/(x^2+4)dx using trigonometric substitution.

Calculus 2
Evalute the integral of x/(x^2+4)dx using u-substitution and then trigonometric substitution. I did this and got (1/2)ln(x^2+4)+C using u-substitution and x^2+4+C using trigonometric substitution. What did I do wrong??? thank you for helping!

Chemistry
I got the answer 5,110 kJ/mol. But the answer is supossed to be negative. Why should it be negative?

Chemistry
The combustion of 0.0222g of isooctane vapor, C8H18(g), at constant pressure raises the temperature of a calorimeter 0.400 degrees C. The heat capacity of the calorimeter and water combined is 2.48kJ/degrees C. Find the molar heat of combustion of gaseous isooctane. The balanc...

Chemistry
E(V) for half reaction 3N(-1/3) -> 3 N(0) + e-

Chemistry
Write the balanced chemical equation for the decomposition of sodium azide. If this is a redox reaction, show half reactions and determine if spontaneous. The chemical equation is 2NaN3(s) -> 2Na(s)+3N2(g) right? I am confused on the oxidation states for NaN3... please expl...

Calculus 2
integral of sinh(p*ln(x/xsub0))dx

Calculus 2
Find the derivative of ln(x+(x^2-1)^(1/2)).

Calculus 2
Find the integral of sinh^2(x)dx.

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