07/14/21

please write the sum using sigma notation
Write the sum using sigma notation:1/(1⋅2) + 1/(2⋅3) + 1/(3⋅4) + ⋯ + 1/(101⋅102)
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07/14/21

test the series for convergence
Test the series below for convergence using the Ratio Test. ∞∑n=1 (n^3)/(0.9^n)The limit of the ratio test simplifies to limn→∞|f(n)| wheref(n)= IncorrThe limit is: Please find f(n) and the... more
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07/14/21

need to know the knots in this question
At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 16 knots. How fast (in knots) is the distance between the ships changing... more
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07/12/21

A capricious Differential equation...
Solve the differential equation.y( x2 + y2 - 1 ) dx + x( x2 + y2 + 1 ) dy = 0
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07/12/21

Given the vertical asymptote, horizontal asymptote, x-intercept, y-intercept and 2 points. Solve the rational function.

The equation of a rational function has the form f(x)=(ax+b)/(cx+d). The function has a vertical asymptote at x=-2, horizontal asymptote at y=1, x intercept of 0, y-intercept of 0, and f(x) is... more
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07/11/21

What are the dimensions that minimizes the cost of the box.?
Rectangular boxes with a volume of 8 ft³ are to be made of three materials. The material for the bottom of the box costs $12 per ft², the top of the box costs $4 per ft² and the material for the... more
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07/11/21

Find all solutions to cos ( 7 θ ) − cos ( θ ) = sin ( 4 θ ) on 0 ≤ θ < 2 π 3

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07/11/21

Find the numbers b such that the average value of f(x) = 3 + 10x − 6x2 on the interval [0, b] is equal to 4.
b =  ________(smaller value)b = ________ (larger value)
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07/11/21

A ferris wheel is 40 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform.

A ferris wheel is 40 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel... more
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07/11/21

Use calculus to find the area A of the triangle with the given vertices.
(0, 0),    (3, 4),    (1, 8)A = 
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07/10/21

How would i find what a and b are?
Set up an integral that computes the volume of a cone of height 12 whose base is an ellipse with semi-major axis 6 and semi-minor axis 4. The area formula for an ellipse is pi(a)(b), where a is the... more
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07/10/21

The line 8x-y-8=0 is tangent to the graph of f(x)=(x+k)(x^2-1) at the point (1, 0). Find the value of k.
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07/10/21

Find all the values of x, in between the range [0,2π] for the following equation. 2sin(3x)+3cos(3x)=0
Please solve this math in step by step.I got totally stuck.Can't find the answer..My xm is on 15 th.
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07/09/21

how many meters will it travel
A particle that moves along a straight line has velocity v(t) = t^(2)e^(−3t) meters per second after t seconds. How many meters will it travel during the first t seconds (from time=0 to time=t)? 
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07/08/21

Calculus 3 particles
A particle moves at a constant speed along a line through P=(4,5,1) to point Q=(9,3,−1). Find the parametric equations and interval for its potions at time t if the particle passes through P at... more
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07/08/21

Calculus 3 Particles
A particle moves at a constant speed along a line through P=(−8,−4,−9) to point Q=(−3,6,−5). Find the parametric equations for x,y,z its potions at time t if the particle passes through P at... more
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07/07/21

Calculus 3 Planes
Find the acute angle (in degrees) between the planes 3x−2y+5z=−8 and 5x−y+3z=9.
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07/07/21

Calculus 3 Planes
Find the distance between the planes −4x+5y+2z=10 and −4x+5y+2z=71.
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07/06/21

Can anyone help me out?? Don't know how to start
Show that a pyramid of height h whose base is an equilateral triangle of side s has volume √3/12 hs2
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07/05/21

Calculus 3 Tangent
Find the tangent plane to the equation z=−x2−4y2+2y at the point (3,-4,-81)
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07/05/21

Solve using variation of parameters

Use variation of parameters to solve the general solution of the following: (D² + 1)y= sec x cscx
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07/04/21

For the function f(x)=2+3lnx/4-lnx a)find f^-1(x) b)check that f^-1(f(x))=x
For the function f(x)=2+3lnx/4-lnx a)find f^-1(x) b)check that f^-1(f(x))=x
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07/04/21

Line Integrals Of Vector Fields
How I can Evaluate (Line Integrals Of Vector Fields) ∫c (𝟑𝒙^𝟐−𝟑𝒚𝒛+𝟐𝒙𝒛) 𝒅𝒙 + (𝟑𝒚^𝟐−𝟑𝒙𝒛+𝒛^𝟐) 𝒅𝒚 + (𝟑𝒛^𝟐−𝟑𝒙𝒚+𝒙^𝟐+𝟐𝒚𝒛) 𝒅𝒛 along the line segment from (-1,2,3) to (3,2,-1)?
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07/01/21

Find the power series equation

Find the power series solution to x^2 y"-y=0 at x0 =1
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06/30/21

Find the area of the region

Find the area of the region that lies inside the curve r = 1 + cos(2theta) but outside the curve r = 1 + sin(theta)
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