07/20/24

Linear system of equations
Can you individually Calculate the two sisters' ages when Jane's and Nicole's ages add up to 32 while they are 6 years apart?Hint: Both sisters are teenagers and use the fast-track method!
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07/18/24

In exact fractional form

A boat starts off 34 miles directly west from the city of Uniontown. It travels due north at a speed of 41 miles per hour. After travelling 44 miles, how fast (in radians per hour) is the angle... more
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07/05/24

Antiderivative/integrals question
Find a formula for the sum of n terms. Use the formula to find the limit as n → ∞.
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07/05/24

Calculus 1 question (antiderivative/integrals?)
Find the equation of y, given the derivative and the indicated point on the curve.dy/dx = 2x - 1
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07/05/24

Sketch the parametric curve for x=6cost and y=2sint for 0≤t≤2π. Indicate the direction of motion.
Sketch the parametric curve for x=6cost and y=2sint for 0≤t≤2π. Indicate the direction of motion.
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07/02/24

Help on question
A Ferris wheel is boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The function H(t)=−20cos(π38t)+25 gives... more
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06/29/24

Homework question
NASA launches a rocket at 𝑡=0 seconds. Its height, in meters above sea-level, as a function of time is given by ℎ(𝑡)=-4.9𝑡2+79𝑡+115.Assuming that the rocket will splash down into the ocean, at what... more
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06/28/24

Calculus with Parametric curves
Find the exact length of the curve.x = et − t,    y = 4et / 2,    0 ≤ t ≤ 4
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06/28/24

Calculus in polar coordinates

Find the exact length of the polar curve.r = 3 cos(𝜃),    0 ≤ 𝜃 ≤ 𝜋I was only able to get to the below answer:∫from 0 to pi. √1+9sin^2(X) dx
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06/25/24

Pre Calculus Question
2tanx/1-tan^2x = 1/square root of 3; what are the values of x
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06/23/24

Find an antiderivative of in the variable x where x != 0
Find an antiderivative of  3x^2+7x^4/x^5 in the variable x where x ≠ 0Remember to include a "+ C" if appropriate. Antiderivative = 
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06/21/24

Area of a surface of Revolution
The given curve is rotated about the y-axis. Find the area of the resulting surface.x2⁄3 + y2⁄3 = 4,    0 ≤ y ≤ 8
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06/20/24

find an angle theta

find an angle (theta) with 0 degrees < theta < 360 degrees that has the same:Sine as 80 degrees: theta = ? degreesCosine as 80 degrees: theta = ? degrees
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06/20/24

Find the exact value for the expression under the given conditions. (cosα+β), sinα = −8/ 17for α in Quadrant III and cosβ = −8/15 for β in Quadrant II.
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06/12/24

Critical Points question Calc 1
Find the critical numbers of the function. (Enter your answers as a comma-separated list.)f(𝜃) = 10sec 𝜃 + 5tan 𝜃,    0 < 𝜃 < 2𝜋
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06/11/24

Cross Product‎ ‎ ‎

Given u times v = <2,1,4> find (u-2v)times(u+4v)
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06/08/24

Calculus Special Trig Limits
I'm stuck on this problem: Lim x approaching 0 (Sec(x) - 1) / (sin(x)
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06/06/24

Find the volume of the resulting solid,
if the region under the curve y = 5/(x2 + 3x + 2) from x = 0 to x = 1 is rotated about the x-axis and the y-axis. x-axis? y-axis? I tried solving for the rotation about the x-axis and I got ∫(from... more
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06/03/24

3.1 6, a quadratic function is given
A quadratic function f is given.f(x) = −4x2 − 20x + 4(a)Express f in vertex form.(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)vertex:X intercept... more
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06/03/24

The quadratic function f(x) = a(x − h)2 + k is in vertex form.
The quadratic function f(x) = a(x − h)2 + k is in vertex form. The graph of f is a parabola with vertex (x, y) = __________   3.1 (2)
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06/03/24

Show 2nd derivatives with respect to x of both y=(1-x^2)^(1/2) and y=-(1-x^2)^(1/2) are not zero at x=1
for x2+y2=1 show 2nd derivatives with respect to x for both semicircle functions do not exist at x=1 and x=-1.
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06/03/24

A polynomial function is given. U(x) = −x3 + 3x2. Y→_______ as x→ ∞
3.2 Polynomial functions (a)
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06/01/24

Find the intervals on which f(x) = sec(x)csc(x), 0 <= x <= 2pi, is increasing.
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05/31/24

Chromium-51 has a half-life of 28 days. You have a sample of chromium-51 that weighs 100 grams. How long will it take for the sample to decay to a mass of 5 grams?
I looked it up online, and used the equations listed; Initial amount x e^kt=m where k is equal to (ln2)/half life, but got a negative answer. I also feel like there should be a way to write it as a... more
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05/31/24

5^2x-7(5^x)=-12 solve for x
no clue what to do. an online calculator did it by substituting 5^x for u and that makes no sense to me at all. If you turn the 5^x into 'u' and are left with u^2-7u= -12 and solve from there, isnt... more
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