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Precalculus Questions
Assume that the rate that a snowball melts is proportional to its surface area. If one...
In 1701, Issac Newton proved his Law of Cooling: T(t) =Aekt +Ta, which is an exponential...
An investment of $9000 grows to $10,299.02 in 4 years. Find the annual rate of return...
Find all angles θ between 0° and 180° satisfying the given equation. Round your answer to...
Find the a, b, c so that y = ax2 + bx + c goes through...
solve the inequality. x+15 -------- <. 3 x+9
The population, P, of a small town is modelled by the function P(t)=-2t3+55t2+15t+22000 , where t=0...
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) g(t) = 5t2...
determine symmetry with respect to the x -axis and y -axis for the graph: |y| =...
A contractor is to build a warehouse whose rectangular floor will have an area of 20002000...
Find the graph of this function below f(x)=x+1(x−3)(x−1)
a rock is thrown upward from a bridge into a river below. the function f(t)=-16t2+32t+94 determines...
The marginal cost of a product can be thought of as the cost of producing one...
Let the angles of a triangle be α, β, and γ, with opposite sides of length...
A Broadway theater has 500 seats, dividing into orchestra, main, and balcony seating. Orchestra seats sell...
Find the cube roots of 27(cos 279° + i sin 279°).
The demand function for a product is given by p = 3000e−q/4. (a) At what price...
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the...
find the amplitude of y= -4 sin (3x + pie). find the period of y= 3csc...
Give an example of a rational function f whose graph has the following properties. vertical asymptote:...
Solve the following system of equations using matrices(row operations). If the system has no solution, say...
If the graph of the line y=-4x+5 is reflected about the x-axis, the resulting line has...
Assume α is opposite side a, β is opposite side b, and γ is opposite side&n
Using words, state what two types of matrix multiplications are always commutative.
Let f(x) = x 2 + ax + 2. Find the values of a such that...
World Poultry production was 94.7 million tons in the year 2010. In each of the following...
find the focus of the conic 2y^2 + 8y + 2x + 7 = 0
Im stuck on this problem thank you! Suppose F is an exponential function where f(-1) =...
Find the standard form of the equation of the hyperbola with the given characteristics. Vertices: (−1,...
4. Find the inverse function of f. State the domain and range (in interval notation) of...
What is the domain of the following functions? (A) F(x)= x/sqrt (2x-4) (B) F(x)= x-3/ sqrt(x^2-6x+9)
Use the Binomial Theorem to expand: ( 2x - 3 )^6. Show all your work. please...
Determine if the ordered pair is a solution to the system of equations. y=-1/2x-1 3x-2y=13 a)...
A store is selling an item, and if they sell (x) of that item per month,...
Sheila decides to begin a chocolate bar business. She estimates that if she sold the bars...
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. {3a -...
An arch shaped monument is often mistaken to be parabolic in shape. In fact, it is...
The initial size of the bacteria is 1000. After 3 hours the bacterium count is 5000....
Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative extrema occur....
How long would it take for $1000 to grow to in an account paying 3.6% interest...
Q 1) Consider the following functions. f(x) = 2/x, g(x) = 3x + 12 Find (f ∘...
Find the formula for the cubic function (third degree polynomial) whose graph has the given properties:...
1/2 tan^2(x)=1-sec(x) on the interval [0,2pi)
Jacob bought a new car for $20,000. Three years later he sells it for $12,000 to...
What is the hourly decay rate for a substance that decays by 30% every 24 hours?
The angle of depression from the top of Elliott Tower to the foot of Hui Tower...
Explain how a drone that is flown high above a city could be used calculate the...
Find the future value of an ordinary annuity of $3,000 paid quarterly for 9 years, if...
Curve Sketching Practice Use the information to the side to sketch the graph of f. Label...
The polynomial f(x)= 2(x-4)2(x+5)3. Give the y intercept, roots with multiplicities, and describe end behavior
Dylan leaves school to walk home. His friend, April, notices 0.4 hours later that Dylan forgot...
Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a...
Donald's body metabolizes caffeine at a rate of 13.7% per hour (so the amount of caffeine...
Find the exact value of the expression, given that cosine alpha equals negative three fifths commacosα=−35,...
A rock is thrown upward from a bridge that is 71 feet above a road. The...
A diet is to contain at least 400 units of vitamins, 500 units of minerals, and...
True or False 1) show a diagram to explain sin(5) > sin(2) in term of radians...
A Ferris wheel is 40 meters in diameter and boarded from a platform that is 4...
Two straight roads diverge at an angle of 75°. Two cars leave the intersection at 2:00...
if cos theta=- 4/5 and in quadraunt 3,find the exact value of sin2theta
The cost, in millions of dollars, of building a three-story high school in New York State...
Solve the following a) 2 cos^2(4x) + 5 cos(4x) + 2 = 0. b) arctan(3x +...
An empty 32 gallon tank begins filling with water. Which of the following statements defines a...
find all real zeros if the function P(x)=2x^4-x^3-4x^2+10x-4 i know all possible zeros are + or...
Suppose an angle measuring "1 Gip" subtends an arc that is 1/15th of the circumference of...
In a standard television set, the screen height is 0.75 times the screen width. If a...
6. Letf(x)=2x–7, g(x)=x2-5, andj(x)= 1 2?−1 Find (f ° ?)(x), simplify your answer completely Find (j°g)(-3)
Using calculus, it can be shown that if a ball is thrown upward with an initial...
solve the equations a). 4x-(-3x-3) =2x +1-1/2x+1 b) 8x-x^2=2 solvee by completing square c) x-2x^2=5 solve...
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An inheritance of $200,000 is invested at 6% compounded quarterly. If $450 is withdrawn at the...
If θ = cos^-1 (-1/√2), then determine the quadrant in which or the the axis on...
A bacteria colony doubles in 8 hr. How long does it take the colony to triple?...
How do you use long division when dividing bottom heavy polynomials? I am having trouble with...
Write the system of equations as an augmented matrix. Then solve the system by putting the...
Find the remaining trigonometric function values for the angle θ, if cosθ = -3/5 and θ...
Mario bought a pound of bacon, a dozen eggs, and a loaf of bread to make...
1) Find the values of the trigonometric functions of θ from the information given. cot(θ) =...
1) The twelfth term of an arithmetic sequence is 118, and the eighth term is 146....
1) Find the equation of the line that psses through the vertex if the parabola f(x)=2x^2-12x+19...
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