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Math
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Questions & Answers
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Math Questions and Answers
Prove that sec^2 x + cosec^2 x = (sec^2 x)*(cosec*2 x)
How do I integrate dy/dx = x - y please ?
How many soldiers are there in a group of 27 sailors and soldiers if there are four fifths many sailors as soldiers?
What is the Plane-Sphere Intersection in the Cartesian Coordinate System in the following case? The plane y= 3 is tangential to a sphere given by (x- 1)^2 + y^2 + (z-3)^2 <= 9. How is the point of contact given by (1,3,3)?
How many pounds in tons
What is the greatest common factor of 42, 126, and 210
how to find a horizontal asymptote of a function?
How many yards are in 4 miles?
How are limits (Calculus limits) used or applied to daily life? Or applied to the real world problems? I need a couple of examples! Thanks!
If 1 year is equal to 365 days, how many seconds are there in a year.
`cot(arcsin(-1/2))` Evaluate each expression without using a calculator
Prove that `cos (x/2)=sqrt ((1/2)(1 + cosx))`
What do the letters R, Q, N, and Z mean in math?
Given the positive integers p, q, r, s, t, u, v, if the sum of the values of each group of three consecutive letters is 35, and q+u=15, then what is p+q+r+s+t+u+v?
`f(x) = sin(x) + cos(x)` Consider the function on the interval (0, 2pi). Find the open intervals on which the function is increasing or decreasing, apply first derivative test to identify all relative extrema.
Four points are random on a circle. (Each point on the circle has the same chance of being chosen.) Find the probability that the four points are on the same semicircle.
How to graph x squared?
Solve: Charlize is thinking about selling her house. The house cost $231,450 when she bought it 3 years ago. If the house has depreciated annually at a rate of 1%, how much is the house worth currently?
How To Graph On A Number Line?
`int_1^2((v^3 + 3v^6)/(v^4))dv` Evaluate the integral.
4x + 4 = 2x - 6
What is the limit lim x = 3, (x^3 - 27)/(x^2 - 9)
StatisticsAssume you have a balance of $3200 on your credit card that you want to pay off. Calculate your monthly payment and total payment under the given conditions. Assume you make no additional charges to the card.The credit card APR is 19% and you want to pay off the balance in 2 years. Answer $138.14; $3020.94 $242.74; $5825.73 $193.82; $4234.50 $161.31; $3871.38
How can I describe quadratic problems associate with each level of Bloom's Taxonomy?
A mysterious rocket-propelled object of mass.. A mysterious rocket-propelled object of mass 45.0 kg is initially at rest in the middle of the horizontal, frictionless surface of an ice-covered lake. Then a force directed east and with magnitude ` F(t) = (16.8N/s)t` is applied. How far does the object travel in the first 5.00 s after the force is applied?
what is the difference between trapezoidal rule and simpson rule?
Find the least common multiple of these two expressions. 10x6 w4 u7 and 8x8 w5 (the numbers are exponents by the way) Thank-you for the assistance ^^ it is greatly appreciated
Find the extreme points for f(x) = x^3 -2x -2cosx.
What is the use of arithmetic in daily life?
9^2x = 27^(3x-2) find x.
When 2 dice are thrown the sum of the numbers that turns up is 10. What is the probability that one of the dice has a 4. Please explain.
if a pizza was cut into 6, 8, or 10 pieces, what would the angles be?
A rectangle has a perimeter of 20m. Express the area of the rectangle as a function of the length of ones of its sides.
If two resistors with resistances R1 and R2 are connected in parallel, then the total resistance R measured in ohms is given by 1/R= 1/R1 + 1/R2 If R1 is increasing at a rate of 0.3 ohms/second and R2 is increasing at a rate of 0.2 ohms/second, how fast is R changing when R1=80 ohms and R2=100 ohms?
A random number generator on a computer selects three integers from 1 to 20. What is the probability that all three numbers are less than or equal to 5?
the one-to-one functions g and h are defined as follows. g={(-4, -5), (1, 2), (7,1), (8, 5)} find the following: g^-1(1)= ----- h^-1(x)= (h * h^-1) (5)=
Find an equation for the family of linear functions with slope 4. Find an equation for the family of linear functions such that f(4) = 1. For these two problems, can you help me solve using standard coordinates x and y, and then figure out what equation belongs to both families?
Find the centre of the circle that passes through points A(-7,4) B(-4,5) and C (O,3)
Calculus of a Single Variable, Chapter 3, 3.3, Section 3.3, Problem 22
Consider the function f(x)=(x^2-1)/|(x^2-1)|. Find all points where f(x) is not continuous. Does f(x) have one-sided limits at those points, and if so what are they?
How to prove the identity `sin^2x + cos^2x = 1` ?
Empirical Vs Theoretical
Jack is riding in a train that has 14 passenger cars numbered 1 , 2, 3,..., 14 with 276 other passengers. Every three consecutive cars have exactly 59 passengers. The second and third cars have exactly the same number of passengers. If Jack is riding in a car whose car number added to the number of passengers in that car is a prime number, what car(s0 may he ride in if any)
Why Is Math Important
Ian asked Josh to find all the values of y that satisfy (log3^(y-4))^3 + (log27^(y^3-8))^3 = (log3^(y^2 -12))^3.
Find the area of the region bounded by the graphs of y=x^2 and y=x^2+4x
Open-top boxes are constructed by cutting equal squares from the corners of cardboard sheets that measure 32cm by 28cm. Determine possible... dimensions of the boxes if each has a volume of 1920cm^3.
A man finds that he has a mass of 100.6 kg. He goes on a diet for several months and later he finds that he has a mass of 96.4 kg. Express each number in scientific notation, and calculate the number of kilograms the man has lost by dieting.
What is primitive of function (cosx)^3/sin x?
The sum of two consecutive integers is 8. Find the two integers.