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Precalculus Questions
Verify that the differential equation is exact then solve it dy/dx = (3x^2 - 2xy)/(x^2 -2y)
If z1= square root of 3 + i and Z2= negative square root of 3 +...
Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find...
The Cp statistic is more useful than the Cpk statistic since it can better account for...
1)The price of admission to a theater is $ 6.8 dollars for adults and $ 4.8...
Suppose that a satellite receiver with a parabolic cross-section is 46 inches across and 14 inches...
A cake mix will produce 230 cubic inches of batter. You are using cylinder shaped baking...
Find an equation for the conic section with the given properties. The ellipse with foci F1(3,...
If $2000 is invested at an interest rate of 2.5% per year, compounded daily, find the...
Use synthetic division to find the quotient and remainder if the first polynomial is divided by...
Solve: log((x^2) - 9) < 2
an online electronic store sells 600 sets of headphones per month, at an average profit of...
1) For each of the following: (i) Determine the intervals on which the following functions are...
A hawk soars above the gateway building. The height of the hawk, in feet, at any...
Use the Principle of Mathematical Induction to show that the given statement is true for all...
A man buys a car for $40,000. If the interest rate on the loan is 12%...
Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k...
Modeling with Functions In this course you have learned the characteristics of different types of functions...
The half-life of krypton-91 (91Kr) is 10 s. At time t = 0 a heavy canister...
Solve the following system of equations and determine if there is a unique solution, an infinite...
Given that -9i is a zero, factor the following polynomial function completely. Use the Conjugate Roots...
For f(x)=(x^2)-x+2: a) find f(2+h) b) Find the average rate of change from 2 to 2+h...
1. Approximate the area under the graph of f(x) and above the x-axis with rectangles, using...
A shredder distributes hay across 5/9 of a field in 10 hours working alone. By adding...
A bacteria culture initially contains 2500 bacteria and doubles every half hour. The formula for the...
A 7-inch sunflower is planted in a garden and the height of the sunflower increases exponentially....
Find the domain of f(g(x)) f(x)=1/10x-20 g(x)=sqrt(2x+12) Explain if you can please and show intermediate steps...
Consider the line segment joining P = (3, −4) and Q = (4, 4). a) Find...
Two sides and an angle are given below. Determine whether the given information results in one...
1. Find all solutions to sin(2(x − π)) = 0
How to prove the cross product of {(B-A)x(C-A)| = | AxB + BxC + CxA|.? (...
g(x) = 3x / [ x^2 + 2x - 3 ]. 6a: vertical asymptotes 6b: horizontal...
Find the area under the graph of the function over the interval given. y=x^2-6x+9; [2,4]
At the end of a certain year, the four companies with the largest number of home...
Show your work and write out the whole word: true or false. The logarithm of the...
A company makes digital cameras. The company estimates that their profit in millions of dollars can...
1.An investment was valued at $17,000 in the year 1998. In the year 2008, its value...
Find the absolute extreme values of ?(?) = ?3 − 2?2 − 20? on the interval...
explain how you could use basic trigonometry to define coordinate plane objects having direction and size.
1.The half-life of polonium (210Po) is 143 days. If you have 21 grams now, how much...
Find the time required for an investment of $ 5000 to grow to $ 6000 at...
The four sequential sides of a quadrilateral have lengths a=4.3a=4.3, b=7.6b=7.6, c=8.4c=8.4, and d=11.1d=11.1 (all measured...
Find two vectors v¯1 and v¯2 whose sum is 〈2,3〉, where v¯1 is parallel to 〈−1,3〉...
Determine which of the following functions are one to one and explain your reasoning. 1. f(x)=...
Write the following conic: 2x2 + y2 + 8x − 2y = −5 in standard form....
find all solutions 1) log5(2x+1)+log5(x-1)=2.3512421... logs are base 5 2) (5e^3x^2-4)-1=23 3) 2x^3-5x^2+6x-2=0
solve logarthmic equations 12. log6x + log6x (x-35) =2 13. ln radical( x+1) = 7 14....
let f(x)=7^x a) find the ewuation for f^-1(x) b) what are the domain and range for...
Problem 1. The function h = f(t) = 90 − 5(t − 2)2 , 0 ≤...
A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and retinol....
Students log onto a university’s virtual campus with a user name consisting of eight characters: four...
Find equations of the asymptotes of the hyperbola whose equation is 3y^2-x^2-4x-18y-25=0
According to the U.S. Census Bureau, the 2008 income of U.S. families is given in the...
graph the following sinusoidal curve. include at least two cycles determine the period, phase shift, amplitude,...
It took a crew 3 h 20 min to row 6 km upstream and back again....
Calculate the average rate of change for f(x) = 5x2 + 6x from x to x...
A small radio transmitter broadcasts in a 28 mile radius. If you drive along a straight...
Jacob has 10,000 dollars he would like to invest and he has a choice of three...
Find a degree 3 polynomial having zeros -6, 3 and 5 and the coefficient of x3...
Determine whether the graph is that of a function. If it is, use the graph to...
x^4-34x^2+225<0
Given f(x) = 2x3 − 7x2 – 3x + 8 a) Find all roots of the...
Test the equation for symmetry with respect to the polar axis, to the line ?=, ",...
Suppose we have 50 Kilograms of some radioactive compound that has a half-life of 5000 years....
1)Suppose that a company buys a computer network system that costs $21,000. They realize that the...
Farmer Ed has 7 000 meters of fencing, and wants to enclose a rectangular plot that...
The supply function for a product is 2p − q − 40 = 0, while the...
In triangle ABC, angle A measures 33 degrees. If angle C measures 38 degrees and BC...
Lydia's aunt Rose left her $5,000. Lydia spent $1,000 on her wardrobe and deposited the rest...
Describe the End Behavior of P(x)=x^3+3x^2-4x-12
An investor has $60000 to invest in a CD and a mutual fund. The CD yields...
Find all the complex roots. Leave your answers in polar form with the argument in degrees....
A polynomial function P and its graph are given. P(x) = 2x4 − 8x3 + 4x2...
A rectangular box with a volume of 272 ft. cubed is to be constructed with a...
鱼的脑重量B与体重W的关系已经通过幂函数B = 0.007W2 / 3进行了建模，其中B和W以克为单位。体重作为体长L（以厘米为单位）的函数的模型为W = 0.12L2.53。如果在一千万年中，某些鱼类的平均长度以恒定的速度从14厘米演化到22厘米，那么当平均长度为17厘米时，该鱼类的大脑生长速度有多快？（回答您对四个有效数字的回答。）
A manufacturer finds that the revenue generated by selling x units of a certain commodity is...
5a: f(x) is a 4th degree polynomial with 3 distinct roots: -1, 2, 2^(.5)i ; and...
Problem 3: The surface of a pond is filling with algae at an exponential rate. Initially,...
Find the equation of the line tangent to ?(?) = (5? − 28) ex-5 at ?...
The height of a projectile, h, in meters, compared to time, t, in seconds, from a...
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