08/02/24

Finding the Area of a given Enclosed Region
How would I find the area of the region enclosed by f(x) = 2x2 and y = 12-2x, and also how would I sketch the graphs?
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08/02/24

Trigonometry quadrilateral
The four sequential sides of a quadrilateral have lengths , , , and (all measured in yards). The angle between the two smallest sides is . What is the area of this figure?
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07/19/24

T value and P value
Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time... more
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07/10/24

About 9% of the population has a particular genetic mutation. 188 people are randomly selected. Round both answers to the nearest 2 decimal places.
Find the mean for the number of people with the genetic mutation in such groups of 188.Find the standard deviation for the number of people with the genetic mutation in such groups of 188.
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06/28/24

Calculus with Parametric curves
At what point(s) on the curve  x = 6t2 + 5, y = t3 − 7 does the tangent line have slope 1? (x, y) = ?
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06/27/24

Differentials question
The measurement of the radius of the end of a log is found to be 3 inches, with a possible error of 1/2 inch. Use differentials to approximate the possible propagated error in computing the area of... more
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06/27/24

Optimization(?) Question
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 18 cubic centimeters. Find the radius of the cylinder that produces the... more
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06/27/24

the Rings of Neptune. Recent observations of Voyager I and II showed that Neptune’s ring system is more complex than had been believed.

For one thing, it is made up of a large number of distinguishable rings rather than one continuous great ring as was previously though. The outermost ring, 1989N1R, has an inner radius of... more
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06/25/24

The oxygen content t days after organic waste was dumped into a pond is given by f (t) = 100 (t2 + 10t + 100/t2 + 20t + 100).

A) use the intermediate value theorem to conclude that the oxygen content of the pond must have been at a level of 85 % at some time. B) At what time(s) is the oxygen content at the 85% level
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06/25/24

(standard form MC)
A graph of a linear relationship is shown.Write an equation in standard form that models the relationship shown.
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06/25/24

Calc 1 Optimization Question
Find the point on the graph of the function that is closest to the given point.f(x) = (x-1)^2Point: (-5,3)
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06/25/24

For a standard normal distribution, find: P(z > c) = 0.6607
For a standard normal distribution, find:P(z > c) = 0.6607
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06/21/24

STATISTICS 1530
A number cube with faces labeled 1 to 6 is rolled once.The number rolled will be recorded as the outcome.Consider the following events.Event A: The number rolled is even.Event B: The number rolled... more
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06/21/24

Which of the following is equivalent to sec β sin ( α + β ) for all values of α and β for which sec β sin ( α + β ) is defined?
Which of the following is equivalent to secβsin(α+β) for all values of α and β for which secβsin(α+β) is defined?
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06/20/24

Calculus Optimization Problem
Find the maximum area of a rectangle in the first quadrant under the function y=3e-x/2.
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06/19/24

Completing the Square

Complete the square so that the expression of the equation y=x2+6x+15 involves a squared binomial.
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06/18/24

Find the spherical coordinates

The rectangular coordinates (x, y, z) of a point are given. Find the spherical coordinates (𝜌, 𝜃, φ) of the point. Express the measure of the angles in degrees rounded to the nearest integer.... more
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06/17/24

Which of the following functions has one root, x=3 and one vertical asymptote, x=2?
A) ln(-x)B) ln(x+1)C) ln(x+2)D) ln(x-2)E) none of these
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06/15/24

Magnitude of the torque
A mechanic uses a 12 in wrench to turn a bolt. The wrench makes a 30° angle with the horizontal. If the mechanic applies a vertical force of 14 lb on the wrench handle, what is the magnitude of the... more
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06/14/24

Correlation cannot be calculated

I am trying to identify correlation between a continuous and a dichotomous variable. Once I collected the data I found that all values for dichotomous variable are same, which makes it a constant.... more
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06/12/24

Help with critical points and extrema problem (calculus)
The surface area of a cell in a honeycomb is given by the following, where h and s are positive constants and 𝜃 is the angle at which the upper faces meet the altitude of the cell (see figure).S =... more
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06/12/24

4.3 (1) logarithmic functions

The function f(x) = log16(x) is the logarithm function with base ____________. So f(16) =  __________, f(1)=_____________, f(1/16)____________, f(25)=_____________, and f(4)___________.
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06/11/24

calculus area question
Estimate the area under the graph of the function f(x)=x+2−−−−−√ from x=−1 to x=3 using a Riemann sum with n=10 subintervals and midpoints. Round your answer to four decimal places. area =
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06/11/24

Derivatives of Trigonometric Functions (Equation of a Tangent Line)
Find the equation of the line tangent to f(x)=2sin(x)cos(x) at x=5π/18. Round your slope and y-intercept to 2 decimal places.(I've got the derivative figured out: f'(x)=-2sin2(x)+2cos2(x), but I... more
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06/11/24

Derivatives of Trigonometric Functions Help
The voltage of a power supply is given by the equation V(t)=100sin(4πt)+40. State the maximum voltage and the times when it occurs.(I'm fairly confident that I have the derivative correct:... more
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