15,254 Answered Questions for the topic precalculus
Precalculus
02/14/23
Pre-calculus math
Find the exact value of the expression. Sin(cos^-1(3/4)-tan^-1(1/3))
Precalculus
02/14/23
Answer to question
A town's population has been growing linearly. In 2003, the population was 54000, and the population has been growing by 1700 people each year.Write an equation for the population � years after...
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Precalculus
02/14/23
Two gears are calibrated so that the smaller gear dives the larger gear. For each rotation of the smaller gear, how many degrees will the larger gear rotate?
Two gears are calibrated so that the smaller gear drives the larger gear. For each roation of the smaller gear, how many degrees will the larger gear rotate?radius of the smaller gear= 2cmradius of...
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Precalculus Calculus
02/14/23
q-7 How would i make an equation?
A balloon is rising at a rate of 4 meters per second from a point on the ground 53 meters from an observer. Find the rate of change of the angle of elevation from the observer to the balloon when...
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Precalculus Calculus
02/14/23
How would i find the speed of her shadow?
A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40...
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Precalculus
02/14/23
q-5 How would I solve this?
Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is...
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Precalculus Calculus
02/14/23
How would i set up the equation?
A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the radius is 15 cm. (Note the answer...
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Precalculus
02/14/23
Q-1 How would i solve this with an equation?
The length of a rectangle is increasing at a rate of5 meters per day and the width is increasing at a rateof 3 meters per day.When the length is 9 meters and the width is 21 meters,then how fast is...
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Precalculus
02/14/23
How would i find the answer in ft/sec?
A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the length of her shadow increasing when...
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02/14/23
What is the principle value of
I really don't get this. Please provide explanation/step-by-step.
02/14/23
What is the principle value of
02/13/23
Assume that f(x,y,z) = x^2 +y^2 +z^2 +xz has a critical point at (0,0,0). Is f(0,0,0) a maximum, minimum, saddle point, or do we not have enough information to determine this?
Show all of your work and every step to receive full credit. If there is not enough information to determine if (0,0,0) is a max, min, or saddle, please justify your answer.
Precalculus
02/13/23
determine the values of x such that y=x^2 and y=1/x have the same slope
only allowed to use the first principles definition for a derivative 😕
02/12/23
Consider the function f(x,y) = x^2 − 2xy + (y^3)/3 −3y
(a) Compute all its critical points.(b) Find Hessian matrices and quadratic forms for each critical point.(c) For each quadratic form, compute the eigenvalues λ1, λ2 of the associated 2 × 2 matrix...
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Precalculus
02/12/23
Make sure to round to 2 decimal places
A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the...
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Let B = [201|020|102] (3x3 matrix)
(a) What does the Spectral Theorem guarantee about the matrix B?(b) Find the eigenvalues and eigenvectors of B.(c) Assume that f(x,y,z) = x2 +y2 +z2 +xz has a critical point at (0,0,0). Is f(0,0,0)...
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Precalculus
02/12/23
Round to 2 decimal places
A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the...
more
Precalculus
02/11/23
Answers all the questions
Question 1: Suppose that an ellipse is centered at (0,0) and has a vertex (5,0) and focus (1,0). Find b=______. (round to 2 decimal places)Question 2:Suppose that an ellipse is centered at (0,0)...
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Precalculus
02/11/23
Find the answers
Suppose that a rancher is build pens along a river so no fencing is needed along the river but wants 3 sections as shown. Find the length y that will maximize the area if the rancher has 6,548 feet...
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Precalculus
02/11/23
Cut wire two shapes, circumference of circle when A is a minimum
You have a wire that is 83 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent...
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Precalculus Math
02/11/23
The points ( − 1.9 , 2.7 ) and ( 3.1 , 10.2 ) are on the graph of a linear relationship between two variables, x and y .
The points (−1.9,2.7) and (3.1,10.2) are on the graph of a linear relationship between two variables, x and y.1) What is the constant rate of change of y with respect to x?2)Write a formula that...
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Precalculus
02/11/23
For the following exercises, use the given information about the polynomial graph to write the equation.
Degree 3. Zero at x = -2, x = 1, and x = 3. y intercept at (0,-4).
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