04/09/21

Evaluate cos (5 𝜋 /12) + sin (5 𝜋 /12) / (cos 𝜋/ 12)-sin (𝜋 /12)
It is two fractions over two fractions
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04/08/21

calculus question
Car A is driving south away from an intersection. Car B is approaching the sameintersection and is moving west.At what rate is the distance between the cars changing at the instant when car A is... more
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04/08/21

Series convergence

∞Consider the series ∑ 2n/(n+1)!. If the ratio test is applied to this series, which of the following inequalities n=1indicates that... more
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04/07/21

Very confused on Calc question

This is similar to a problem in the textbook.  After a foreign substance is introduced into the blood, the rate at which antibodies are made is modeled byf(t)=14t/9t^2+5where f(t) is in thousands... more
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04/07/21

Use the Pythagorean Theorem Identities. Find sinx if cotx=−√3/2 and cosx<0

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04/06/21

trig derivative

What is the derivative for y=tan⁥(x) is dy/dx=sec^2⁥x. Verify this using the identity tan⁥x=sin⁥x/cos⁥x . show all steps please, or anything that may help me understand better.
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04/05/21

Which of the following is the coefficient of x3 in the Maclaurin series for f(x) = sin(2x)?

Which of the following is the coefficient of x3 in the Maclaurin series for f(x) = sin(2x)?
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04/05/21

What is the Maclaurin series for f(x) = xex?

What is the Maclaurin series for f(x) = xex?
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04/04/21

Calculus Quesiton
Your velocity is given by v(t)=2t^2+2 in m/sec, with t in seconds. Estimate the distance, s, traveled between t=0 and t=8. Use the average of the left and right sums with 4 subdivisions. Answer: s=
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04/03/21

Solve the differential equation dy dx equals the quotient of x squared and y squared for y = f(x) with the initial condition y(0) = 2
Solve the differential equation dy dx equals the quotient of x squared and y squared for y = f(x) with the initial condition y(0) = 2
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04/03/21

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y4."

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y4."
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04/03/21

calculus helppp
You are given the following points: 𝐮=(13,11,−20)A=(13,11,−20),Â đ”=(−16,0,10)B=(−16,0,10),Â đ¶=(−9,16,16)C=(−9,16,16). Which point is closest to the yz-plane?What is the distance from the yz-plane to... more
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04/03/21

Given COS theta = 4/5 and SIN theta < 0 , find Sin(2 theta) , Cos(2 theta) , and Tan(2 theta)

the sin theta <0 part throws me off and I don't understand how to go about the problem with that in it
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04/03/21

n=3; -3 and 4 +2i are zeros; f(1) =52
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04/02/21

How long will it take for an investment of $3,000 to double if the investment earns interest at the rate of 4%/year compounded continuously? (Round your answer to one decimal place.)
How long will it take for an investment of $3,000 to double if the investment earns interest at the rate of 4%/year compounded continuously? (Round your answer to one decimal place.)__________yr
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04/02/21

Find the interest rate needed for an investment of $8,000 to grow to $11,000 in 9 years if interest is compounded continuously. (Round your answer to the nearest hundredth of a percentage point.)

Find the interest rate needed for an investment of $8,000 to grow to $11,000 in 9 years if interest is compounded continuously. (Round your answer to the nearest hundredth of a percentage... more
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04/01/21

What ticket price would maximize revenue? $
A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $12 the average attendence has been 26000. When the price dropped to $10, the average attendence rose to... more
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03/31/21

Multiple choice calculus question
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.If the graph of f is concave upward on (a, c) and... more
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03/31/21

Determine where the function is concave upward and where it is concave downward. (Enter your answers using interval notation.) f(x) = 3x4 − 30x3 + x − 5 concave upward concave downward

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03/31/21

using direct comparison test, determine if the series converges or diverges.
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03/31/21

use the definition of derivative to show that d/dx f(x)=-2x
let f(x)= 3-x2ï»ż
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03/31/21

 Use the ratio test to show that the series  is convergent. Be sure to show your work.
 Use the ratio test to show that the series  is convergent. Be sure to show your work.
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03/31/21

calculus question help please
Show that the series  is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of the series with an error of less than 0.05.
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03/31/21

Find the volume of the solid obtained by revolving the region in the first quadrant bounded by the curves y= sqrt x e^x and y= e^x about the x-axis. Draw the graphs that you can illustrate to use them
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03/31/21

Show that f(x) = sin(xÂČ+3x) is equal to g(x) = -xcos(x) at least once on [-𝛑, -𝛑/6]
There was a hint: Think about the IVT.
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