Pre- Calculus

21,352 results, page 91

calculus

What is the largest possible product of two negative number whose sum is 1?

calculus

Find the domain of the variable x for which the following equation determine y as a real function of x. y - xy = 5

maths calculus also

what is the area enclosed by the curved y=4x-x^2,and y=x^2-2x along the x-axis thanks so much help

basic calculus

find a appropriate formula for the area of a narrow circular ring

Calculus

Write an expression for y = f(x) by solving the differential equation dy/dx = x√y with the initial condition f(3) = 25. I got y = (x^2/4 + 11/4)^2.

Calculus

What are the dimensions of a rectangular field of area A that requires the least amount of fencing?

Math (Calculus) Integrals

Evaluate the integral using the following values. 8 ∫ x^3 dx = 1020 2 8 ∫ x dx = 30 2 8 ∫ dx = 6 2 2 ∫ x^3 dx = ? 2

calculus

x = sin(θ/2), y= cos(θ/2), −π ≤ θ ≤ π. Eliminate the parameter to find a Cartesian equation of the curve.

Calculus

Given that the limit as h approaches 0 of (f(6 + h) - f(6))/h = -2, which of these statements must be true? 1. f'(6) exists 2. f(x) is continuous at x=6 3. f(6) < 0

Calculus

Find the area of the region between the curves y=8−x^2 y=x^2 x=−3 and x=3 I made a slight correction

Calculus II

Express the integrated as a sum of partial fractions and evaluate the integral 3x2+x+9/(x2+5)(x-6)

Calculus

(1,1)(2,1)(2,3) mirror around y-axis & revolve solve with Shell and washer please and thank you

Calculus

Find the limit x->pi/2^+ tan(x) I know the answer is -∞, but I don't understand why. When I simplify to sin(x)/cos(x), I get 1/0^+.

Calculus

If the instantaneous rate of change of f(x) at (2,-4) is 5, write the equation of the line tangent to the graph of f(x) at x=2.

Calculus

Rectilinear Motion Discuss the Velocity, Acceleration, and Speed: 1. s(t)=2t^2 +8t-7 2. s(t)=3t^4 -16t^3 +24t^2

Math Calculus

Sketch the graph of a function having the following features: f'(x)>0 on (-5,-2) and on (3,oo) f'(x)<0 on (-oo,-5) and on (-2,3) f''(x)>0 on (-oo,-3) and on (1,oo) f''(x)<0 on (-3,1) Please help!

Pre cal

find all zeros of x^4-5x^3+10^2-20x+24 (leave all irrational answers in radical form) i simply don't understand this question, i can find the rational value but never can i calculate how to find the irrational values nor the imaginary number values. what mistake am I making ?

AP Physics 1

This isnt exactly a hw question... but for anyone who knows: Im considering to take AP Physics next year as a challenge. I'm going to be taking pre-calc next year ( i already took my algebras) and im not too great in math but im good at memorizing and retaining info... will AP...

pre algebra

f(x)=9x+7 The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. help why is the answer negative infinity, infinity? thank you so much...please explain in plain terms...

pre algebra Is it A,B,C or D?

Rodney flips a fair coin and chooses a letter tile A, E, I, O AND U. He performs this experiment 50 times to determine the experimental probability that heads is tossed and the letter A is chosen. Which of the following is most likely to be the experimental probability that ...

Science Earth

Label the year and name of each geologic area on your geologic time scale. Using the 1 cm = 10 million years scale, figure out and measure each distance below from the PRESENT line. Pre-Cambrian Era = 4.6 Billion years ago = _______________________ cm from PRESENT What would ...

Pre calc

Thanks in advance for any help. I need help with this whole problem. The distance s(t) between an object and its starting point is given by the antiderivative of the velocity function v(t). Find the distance between the object and its starting point after 15 seconds if v(t)=0....

Pre-Calc

Fill in the blank; •In the process of polynomial division (Divisor)(Quotient)+_______=_______ •When a polynomial function f is divided by x-c, the remainder is _______. •If a function f, whose domain is all real numbers, is even and if 4 is a zero of f, then _______ is ...

pre algebra

A college bookstore ordered 6 boxes of red pens. The store sold 32 red pens last week and 35 red pens this week. Five pens were left on the shelf. How many pens were in the box? How would you solve it and check answer into the original problem?

Pre-calc

A bicyclist is riding at 27 km/hour. She is pedaling at 95 rpm. Her rear wheel has radius 0.34 m and her rear sprocket has radius 0.03 m. A. What is the radius of her front sprocket? B. Through what angle (in degrees) does her rear wheel rotate in 0.004 second?

more pre cal logs

sorry I am so lost I missed the class that talked about logs since my sister was in the hospital giving birth to a still born baby.... now I am all lost... Expand the log Ln 3sqrootx^2y/x+3 (the 3 is part of the sqroot not infront like the 3rd power) I hope that makes since

Pre.Calc

You want to make an investment in a continuously compounding account over a period of ten years. What interest rate is required for your investment to double in that time period? Round the logarithm value to the nearest hundredth and the answer to the nearest tenth. -I don't ...

Pre- Algebra

Theo made the table below to show the number of middle school students who attended the last football game. If the data were displayed in a circle graph, how many degrees would be in the sector representing the eighth graders? Grades:6,7,8 Number of Students in attendance in ...

pre cal

(1/3)LN27 + 2LNx = LN(2-x) i think i just need help getting started. I assume that your LN notation is log to base e. I will call it ln. (1/3)ln 27 = ln (27)^(1/3) = ln 3, (since 27^(1/3) is the cube root of 27). Therefore ln 3 + 2 ln x = ln (3 x^2) = ln (2-x) 3x^2 = 2-x solve...

Pre-Calc/Trig...

Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots

Math (Pre-Cal) (Exponential Functions)

A car was valued at \$38,000 in the year 2003. The value depreciated to \$11,000 by the year 2009. Assume that the car value continues to drop by the same percentage. -What will the value be in the year 2013?

pre-algebra

t takes 1 cup of liquid fertilizer to make 7 1/2 gallons of spray. how much liquid fertilizer is needed to make 80 gallons of spray? Plzzzzzzzz help me its really hard for me

Pre-Cal

A plane has a velocity of 400 mph to the SW. A wind from the west is blowing at 50 mph. Find the resultant speed and direction. How do i find resultant speed without a direction.

Pre-Algebra

I have no clue how to solve these, could someone help me? For questions 6-8, multiple the following polynomials. 7. 4a(a^2+7a+4) A. 4a+28a^2+16a B. 4a^3+28a^2+16a C. 4a^3+44a D. 44a^4 8. (2y-3)(3y-2) A. 6y^2-13y+6 B. 6y^2-13y-6 C. 6y^2+13y-6 D. 6y^2+13y+6

Pre algebra

The Everton college store paid 1532 dollars for an order of42 calculators.The store paid 18 dollars for each scientific calculator,and tthe other all graphing calculators, cost the store 54 dollars each, How many of each calsulator was ordered?

pre-calc

The probability, P, in percent, that a person will respond to a certain ad can be modelled by the equation P(n)=1-2^(-0.05n), where n is the number of days since the ad began on tv. After how many days is the probability greater than 20%? my work: 0.20=1-2^(-0.05n) then i ...

pre calc

in many parts of the coutry the average temp of a particular area may be modeled by a sin usoidal function. According to NCDC the average temp of k city is 92.2 in july and 32.2 in january assume that the period is 12 what is the best model for when july is month 0 and when ...

pre algebra

Ellen buys 6 more paperbacks than hard covers. Paperbacks cost \$8 each and hard covers cost \$15 each. If Ellen spends a total of \$117 on the books, how many of each type does she buy? Give a complete algebraic solution, using the distributive property.

Pre-Algebra

Solving it would give u x = -4...but I am not sure how you would graph that. You see, a linear inequality is an inequality that has one of the following four forms: Ax + By < C Ax + By > C Ax + By < C Ax + By > C PLZ!Somebody tell me the answer! PLZZZ! umm,, It ...

pre-cal: graphs of functions- fill in the blank

To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points on the graph of a nonlinear function f. The ...

pre calc

it takes my father 3 hours to plow our cornfield with his new tractor using the old tractor it takes me 5 hours. if we both plow for 1 hour before i go to school, how long will it take dad to finish the plowing. I got 2.5 hours but i think that is totally wrong?????

Juanita has 35 pre-addressed post cards she plans to hand out to her friends so they will write to her while she is away visiting her grandmother. She has 7 friends she'd like to give them to. Write a number sentence to show how Juanita can share her cards equally among her ...

pre calc

The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005, what will be the population in 2008? Please help I got 670,422 and the computer marked it wrong i then tried rounding it to 671000 but it was still ...

pre cal

can someone please show me how to verify this identity? (sec x/csc x minus cot x) minus (sec x/csc x + cot x)= 2 csc x

Pre-Algebra

HOW DO I DO THIS 5x+(-20)=-60 2-2x=8 I can only assume this is two different questions. On the first, add 20 to both sides. Then, divide both sides by 5 On the second, subtract two from each side, then, divide both sides by -2

PRE-ALGEBRA

Paint costs \$21 per gallon is to be mixed with 6 gallons of paint thinner costing \$5 per gallon to make a paint that can be \$15 per gallon. Compute how much paint mixture will be produced.

Pre-Algebra

If 4 liters of motor oil cost \$3.88, what is the price for 1 liter? I'm supposed yo set up proportions. This is how I set it up: \$3.88/4 liters • 1 liter/p p= the price for 1 liter Please tell me if I set it up right and how to solve.

Pre Cal

a radio actice substance decays so that half of the substance decays every 2 minutes. if 100 g of the substance are present initially, how many grams will be present after 4 minutes and 8 minutes respectively?

Math- Pre calc

A 60 foot antenna stands on top of a building. From a point on the ground, the angle of elevation to the top of the antenna measures 48 degrees and 39 degrees to the top of the building. How tall is the building?

pre algebra

A ladder is leaning against a house. The distance between the base of the ladder to the house is 3 feet. The length of the ladder is 10 feet. In feet, how far above the ground does the ladder touch the house? 4.2 9.5 10.4 14.1

pre calc

the volume of a gas varies inversely as its pressure and directly as its temperature. A certian gas occupies a volume of 2.3L at a temp of 380 K and a pressure of 20 N/cm^2 find the volume when the temp is 342 K and the pressure is 10 N/cm^2

pre calc

Carson wants to invest \$100,000 in two ways. He wants to purchase a certificate of deposit that pays 11% per year and invest the rest in coorporate bonds that pay 15% per year. He is looking for a total return of 12%. How much money should Carson place into each investment ...

Math/Pre Algebra HELP ME!

1. What are the coefficients in the polynomial 5x^2 + 2x - 4? A. 5,2 B. -5,2 C. 5,2,-4 ** D. 5,-2,-4 For questions 2 and 3 add or subtract. 2. (m^2 - m - 4) + (m - 5) A. m^2 - 2m + 9 B. m^2 + 2m - 9 C. m^2 - 2m - 9 ** D. m^2 - 9 3. (5x^2 + x - 3) - (-2x^3 + 4) A. -2x^3 + 5x^2...

pre calc

The number N of bacteria in a culture at time t (in hours) grows exponentially according to the function N(t) = 1000e^0.01t When will the number of bacteria reach 1700? I though you would do 1700=1,000^e0.01t and solve for t but i keep getting the wrong answer can someone ...

pre-algebra

You split \$1500 between two savings accounts. Account A pays annual 5% interest and Account B pays 4% annual interest. After one year,you have earned a total of \$69.50 in interest. How much money did you invest in each account?

Calculus

The ideas we are practicing in these exercises can be put to practical use. A calculus teacher's son likes to shoot arrows. He was wondering at what speed the arrow leaves the bow when it is released. So they went to a large deserted beach at the Great Salt Lake and shot the ...

Pre-Algebra

Scatter plots are used to look for a pattern of association, or trend, between one set of values two sets of values three sets of values four sets of values My answer: two sets of values

Pre- Algebra

1. What is (-7)^5 in expanded form? 2. Simplify the expression. (-3)^4 a. 81 b. -81 c. -12 d. 12 3. Which expression is equivalent to 4x4x4x4x4x4x4x4? a. 4 x 8 b. 8^4 c. 8x8 d. 4^8 4. 2/3 x 1/2? Simplify to lowest terms 5. Solve 1/6 / 2/6 6. Which of these numbers is ...

Pre algebra Am I right??

A six sided number cube is rolled and a coin is flipped. What is the probability that the number on the cube is less than 4 and the coin lands on heads. I worked it out and I think I am right but I would like for someone to double check it for me. 1/2 * 1/2 is .25 which is 1/4...

Pre-algebra

Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two integers. Help him ...

pre- cal

An antenna is on a hill that makes a 5 degree angle with the horizon. The antenna is placed so that it is perpendicular to the horizon. A guy wire extends from the top of the antenna to a point 50 ft downhill from the base of the antenna. If the antenna is 25 ft tall, what is ...

calculus

Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the x-axis. If the tangent point is close to the y-axis, the line segment is long. If the tangent point is far from the y-axis, the line ...

Pre Cal

a function f is defined as f(x)= square root of (x+4). a) identify the domain of the function b) identify the range of the function c)Compute the intercept d) compute the x intercept E) sketch a graph of the function

pre cal

The domain of y=g(x) is −1≤x≤11 and the range is −13≤y≤16. Give both the domain and range of the following two functions as inequalities. (a) y=g(12x) (b) y= 3g(x)

Pre algebra

A tree casts a shadow 30 feet long. at the same time of day, 5.5- foot-tall Person casts 5 feet long.how tall is the tree?

Pre Algebra

A number is divided by -4, then multiplied by -5. The result is 40. What is the number? I had problem finding a formula for it. And this one was also like it. A number is multiplied by -8, then divided by -4. The result is 4. What is the number?

pre-algebra

Solve the equation- w(-2)=14 m-7= -3 -3h= -42 Here are some basic rules you need to follow. Get all your numerical terms on one side of the equation by doing the same process on both sides of the equation. w(-2) /-2 = 14/(-2) The -2 terms on the left cancel each other out to ...

Pre Algebra

I am doing an ice cream cone project for math on cones and had to figure out the surface area for them, but there is a question that is "how to the surface and lateral area of each relate?" my teacher said you will see a pattern but i dont. i.e. sa= 13,293.5 and la= 10,831.7 ...

Pre calc 12 urgent help pls!

Radioisotopes are used to diagnoa various illnesses. Iodine-131 is adminsitred to diagnoaw thyriod gland activity. Original dosage contains 280 MBq of Iodine-131. If. One is lost from body then after 6h, there r 274 MBq. What is half life of I-131 to the nearest day.

Stat 1

In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b...

pre calc 12

During intermission, at a hockey game, small foam hockey pucks are launched from a height. How long is a puck in the air if a student in the stands catches it on its way down 12m above ice lvl? The model for the vertical motion of the puck can be approximated by the relation h...

pre- algebra

The perimeter of a triangle is 24 cm. One side is 2 cm longer than the shortest side. The longest side is 2 cm less than twice the length of the shortest side. Find the length of each side of the triangle.- write equation and solve.

pre-cal

The sq root of -4 (3-sq root of -9) a)6 +6i b)-6+6i c)6-6i d)-6-6i Again the i's are in italics. I would think that c and d could be eliminated because the answer is suppose to be in the form a + bi but they could be trting to trick you. I'm not quite sure what your problem is...

Pre-Algebra

Can U Just Check My Answer Please! Thank You Guys :D Complete the sentence below. Scatter plots are used to look for a pattern of association, or trend, between ____________ A) one set of values. B) two sets of values. C) three sets of values. D) four sets of values. My Answer: B

Pre-Algebra

Can U Just Check My Answer Please! Thank You Guys :D Complete the sentence below. Scatter plots are used to look for a pattern of association, or trend, between ____________ A) one set of values. B) two sets of values. C) three sets of values. D) four sets of values. My Answer: B

pre algebra

Two bank robbers flee at 60 mph. 26 minutes later, a police helicopter follows at 120mph. How long til they catch them? I figured 39 minutes. I takes the police 13 minutes to get to the 26 mile mark. Then the robbers move 13 miles forward. then the police take 6.5 minutes to ...

Pre calc

A small plane takes off from island A and flies in a straight line for 12 kilometers. At the same time, a sailor sitting in a sailboat who is 5 miles from the island measures the angled by from island A to the sailboat and the plane is 37 degrees. How far is the plane from ...

Pre-Algebra

If negative 20 equals 168, negative 15 equals 153, negative 10 equals 138, negative 5 equals 123, 0 equals 108, 5 equals 93, 10 equals 78, 15 equals 63, 20 equals 48, then what is the rule??? Also, what is the pattern in the informatio above???

Pre-Calc

The intensity I of light received from a source varies inversely as the square of the distance d from the source. If the light intensity is 5 foot-candles at 17 feet, find the light intensity at 16 feet.

Math (Pre-Calc)

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠A1 is smaller than ∠A2.) b = 74, c = 84, ∠B = 58...

calculus 2

The region bounded by y=e^(-x^2),y=0 ,x=0 ,x=1 and is revolved about the y-axis. Find the volume of the resulting solid.

Evaluate each indefinite integral. Use the substitution method. X square root (x+3) dx

calculus

Please help, I have no idea where to start. Use the quotient rule to find the derivative. f(x)= ((x+4)/(x-2)) f '(x) = Thank u!

Calculus 2

I'm confused on how to solve or set up a substitute for the problem. Evaluate the Integral from 1/4 to 1. 1/ sqrt(16t^2 -1) dt

Calculus

1. 10=6e 0.5t 2. 100=25(1.5)t We will be happy to try to critique your work or thinking. I have no idea what your question is.

calculus

find the equations of the circles which pass through the points (0,2) and (0,8), and which also touches the x-axis.

calculus

what is the equation of the circle whose centre lies on the line x-2y+2=0 and which touches the positive axes.

Calculus

Find the point at which the line <1,-1,4>+t<3,4,-1> intersects the plane 4x-y-z=73. What process do i take to solve this problem?

calculus

Find the area of the region in the first quadrant enclosed by the coordinate axes and graph of x^3+y^3=1.

Calculus

Solve the triangle a is a side A is an angle I have: a=5 A= b=11 B= c= C= 110 degrees Can this be figured out??If so how?

CALCULUS

Find the critical numbers of each given function. (a) f(x)=3rt(x^(2)-x (b) g(x)=2sinx+2cos^(2)x, 0 <=x<=2pie

CALCULUS

Find and classify all locsl extreme values of each given function.(no decimals) (a) g(x)=e^(2x)+e^(-x) (b) g(x)=x^(2/3)*(x^(2)-4)

Calculus

Use the binomial Theroum to expand the expression and express the results in simplified form (3X + 2)^3

Calculus

Find the value or values of c that satisfy (f(b)-f(a))/(b-a) =f'(c)for the function f(x)=x^2+3x+3 on the interval [-2,1]. I can't seem to get -1/2, the answer given. [((1)^2+3(1)+3)-((-2)^2+3(-2)+3)]/[1+2] =2

Calculus

the points a, b, c, d, e, f, g are equally spaced along a line. Name a vestor which is equal to 3BD

calculus

The volume of a right circular cone is given by V=(1/3)[pie]r^2h, where r is the raius and h is the height Find (dV/dt) if r=4,h-5,(dr/dt)=6, and (dh/dt)=-3

calculus

The volume of a right circular cone is given by V=(1/3)[pie]r^2h, where r is the raius and h is the height Find (dV/dt) if r=4,h-5,(dr/dt)=6, and (dh/dt)=-3

Calculus

For solving initial value problems is there any way to do it without a calculator? For example: f"(x)=12x^2-6x+8, f(-1)=5 f'(-1)=-21

calculus

f(x)=(9x^2–8)^6(4x^2–5)^11 Find f'(x) I got (9x^2-8)^6 *11(4x^2-3)^10*8x+((4x^2-3)^11)6(9x^2-8)^5(18x) but im doing something wrong can someone check my work please