07/16/23

Card Probability
Consider the standard 52-card deck (4 suits, each consists 13 ranks)Jack randomly draws 3 cards from the deck. Question: 1) what's the probability that he gets all three Aces? 2) what's the... more
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07/14/23

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval.

(Round your answer to four decimal places. Enter your answers as a comma-separated list.) f(x) = x2 9 , [0, 3] (its supposed to be a fraction)
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07/10/23

How do you solve this vector word problem?
An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and... more
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07/09/23

Use the graph of f(x)=x2 below to find a number δ such that ∣∣x2−1∣∣<0.1 whenever 0<|x−1|<δ .

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06/24/23

compute lim t->0 cos(pi/sqrt19-3sec2t). is the function continuous at t=0?
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06/21/23

Expand the function f(x) = 1/x + 3 into a Taylor series around a = -2 and determine the interval of convergence."
Hi, I dont really understand this questioon can you give me the answer step by step so I can understand how to solve this problem
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06/20/23

Which of the following is the correct answer for (4+2i)^4 evaluated and left in Cartesian form?
Pick the correct answer for the evaluation of (4+2i)4, leaving the answer in Cartesian form. Show each step taken in finding the solution. The possible answers are: (A) -112+384i, (B) -120+394i,... more
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06/18/23

What's the square root of -1?
How do negative numbers get broken down? We are told in school that you can't take the square root of negative numbers, but in reality it is possible.
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06/17/23

On average, a team roper misses 1.2 times per practice. Use the appropriate formula to find the probability that on a given practice this roper will miss exactly 3 times this practice.
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06/17/23

calculus question
Helium is being pumped into a spherical balloon at a rate of 3 cubic centimeters per second. How fast is the radius of the balloon increasing when the radius is 10 centimeters? Round your answer to... more
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06/17/23

Find the first 4 nonzero terms in the Series
The function f(x)=ln⁡x has a Taylor series at a=8. Find the first 4 nonzero terms in the series, that is write down the Taylor polynomial with 4 nonzero terms.
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06/16/23

Write a partial sum for the Power Series
Consider the function ln⁡(1+8x).Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were ∑n=0∞3^n x^(2n), you... more
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06/16/23

What is Partial Sum of Power Series
Consider the function1/(1−x^3)Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were ∑n=0∞3n x^2n, you... more
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06/15/23

Compute the derivative of: ƒ(x) = (x^3 + 2x)e^x

e is Euler's number.Compute the derivative of:ƒ(x) = (x3 + 2x)ex Compute the integral:∫ ex(4 + ex)5 dx Compute the limit:lim x→+∞ ((e4x - e-4x)/(e4x + e-4x))
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06/15/23

Use implicit differentiation to find dy/dx y= x+8/y-8
Dy/dx=?
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06/12/23

Ch 5, 6, 7, Questions 4
A normal distribution has a mean of 98 and a standard deviation of 5. Find the z-score for a data value of 100. Round to two decimal places
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06/11/23

Rewrite this logarithm in a form with no logarithm of a product, quotient or power
log {sqrt [(x^2 +16) / (x^2 +20)(x^3 -2)^2)] }
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06/10/23

Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.) y = |x^2 − 81|
^ 2 exponent 2
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06/10/23

Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x) = (x + 3)^2/3
The ^ is an exponent the exponent i 2/3
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06/07/23

Using Chebyshev's Rule, in what interval about the mean would you expect to find at least 89% of the prices?
The list prices of homes in a Central Ohio neighborhood have a mean of 168000 dollars and a standard deviation of 6000 dollars. The distribution is unknown. Using Chebyshev's Rule, in what interval... more
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06/03/23

If the area of the trapezoid is 196 cm squared, a = 5x - 2cm, b = x+ 3 cm, and h = 8cm, calculate the length of the longer base.
a is the bottom base, b is the top base, and h is the height.
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06/03/23

Calculate the area of a regular nonagon with side lengths 8 feet and an apothem of 9 √ 3
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06/02/23

Find the Volume of the Solid
**Please show workFind the volume of the solid obtained by rotating the region bounded by y=4sin⁡(7x2),y=0,0≤x≤sqrt(pi/7), about the y axis. Volume : ?
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06/01/23

Identify each polar curve and state whether it is a ........
Identify each polar curve and state whether it is a rose, a line, a circle, a lima¸con with a loop, a cardioid, a lima¸con with a dent, a convex lima¸con, a lemniscate, or none of these.(a) r =... more
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05/27/23

Evaluate The Integral...
Evaluate The Integral
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