03/29/24

Find the differential of each function.
y = √5 + ln(z)dy=
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03/28/24

please help math
A hot coffee just brewed(180F) from the coffee machine is placed in a room where the temperature is 65F.After 20 minutes, the hot coffee has cooled to 140F. Find the temperature after one hour 06... more
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03/25/24

Teacher didn't explain this well in class, please help.
f(x)={0, if x< -3{3, if -3 ≤ x < 0{-5, if 0 ≤ x < 5 {0, if x ≥ 5 xg(x) = ∫ f(t)dt -3Determine the value of each of the following:A.) g(−6)=B.) g(−2)=C.) g(1)=D.) g(6)=E.)... more
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03/18/24

if a1=7 and an=3an-1+3, What is the value of a5
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03/18/24

Trig Substitution with circle
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03/18/24

The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary). 12,18,27. Find the 8th term
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03/17/24

Integrate the function below. Show All Steps
Integrate the function below. Show All Steps. If possible attach a video going through the problem
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03/12/24

Arc Length Integral Questions
Let R be the region in the first quadrant bounded by y=x2 and y=√x. Write down a single integral that represents the perimeter of R.
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03/10/24

find inflection point
a curve is defined by the parametric equation x = 3sin(t) + 4 and y=3cos(t)-1 for 0 <= 1 <= pi, find any point of inflection in the curve
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03/10/24

A recent college graduate's gift from her grandparents is $29,000.
How much will this provide at the end of each month (in $) for the next 12 months while the graduate travels? Assume that money is worth 7.8% compounded monthly. (Round your answer to the nearest... more
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03/08/24

Trigonometric substitution

Evaluate the integral:Integral of (-3x^3) / (sqrt((x^2) + 9) dx, x = 3tan(theta)
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03/08/24

Use implicit derivative to find y'
𝑈𝑠𝑒 𝑖𝑚𝑝𝑙𝑖𝑐𝑖𝑡 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡𝑖𝑎𝑡𝑖𝑜𝑛 𝑡𝑜 𝑓𝑖𝑛𝑑 𝑦 ′ 𝑖𝑛 𝑡ℎ𝑒 𝑓𝑜𝑙𝑙𝑜𝑤𝑖𝑛𝑔: 3𝑥𝑦 2 + 𝐶𝑜𝑠(𝑦 2 + 𝑆𝑒𝑐 𝑥) = ln (𝑥 2 + 𝑦)
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03/07/24

A rectangle has a base that is double its height. Its perimeter is 45. Find its area.
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03/07/24

A rectangle has a base that is double its height. Its perimeter is 45. Find its area.
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03/07/24

Find the point on the line y = 3x + 2 that is closest to the origin.
(x, y) =
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03/07/24

A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used.
side of base = ___cmheight = ____cm
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03/07/24

Consider the curve given by x^2 + 2x + 3y^2 = 8:
(a) Find dy/dx .(b) Find the points (x and y coordinates) where the graph of the equation has a horizontaltangent line.(c) Find the points (x and y coordinates) where the graph of the equation has... more
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03/04/24

Compute the following limits. Clearly indicate the usage of L'Hospital's rule.
limit as x approaches ∞ [2ln(x)-ln(3x2+1)]
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03/04/24

Evaluate the following integral
∫1/(4+t2)dt
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03/02/24

At noon, ship A is 110 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?
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02/26/24

Triangles Question
The lengths of two sides of a triangle are 15 cm and 8 cm. Two inequalities about the length of the third side, x, of the triangle are shown.Inequality I: x<15+8Inequality II: x>15−8Which... more
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02/26/24

Urgent Geometry Question
If two triangles are congruent, which statement is true?Responses Although the perimeters and areas of the triangles are equal, respectively, not all corresponding sides and corresponding angles... more
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02/23/24

Two numbers have a difference of 16. Find the numbers if the result of adding their sum and their product is a minimum.

really long explanation please 🙏🏻
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02/23/24

If the radius of the tank is 20 feet and the water level fell at the rate of 4 feet per hour at 7 A.M., at what rate was water being used exactly at that time?
Webster City monitors the height of the water in its cylindrical water tank with an automatic recording device. Water is constantly pumped into the tank at the rate of 2300 cubic feet per hour. If... more
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02/23/24

how fast is the water level rising when the water is 4 feet deep
Water is pouring into a conical tank at the rate of 8 cubic feet per minute. If the height of the tank is 11 feet and the radius of its circular opening is 6 feet, how fast is the water level... more
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