25,270 Answered Questions for the topic calculus

Calculus

09/23/23

I need help with this question
Find the intersection of the line and plane: What are the points?2z-(3x+4y)=7, r(t)=<-3,2,-3> +t<2,-3,-1>
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Calculus

09/23/23

Switching bounds of an integral doesn't change sign?
I know that when switching the upper and lower bounds of an integral, you also switch signs. But what about this: Integral (-2 to -1) ((16-x^3) / x^3) = Integral (-1 to -2) ((16-x^3) / x^3)-8x^-2 -... more
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Calculus

09/22/23

Domain and range
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Calculus

09/22/23

Finding the formula
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Calculus

09/22/23

One to one function
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Calculus

09/22/23

One to one function
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Calculus

09/22/23

One to one function
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Calculus

09/22/23

Find the global extrema of the function

find the global extrema of the function f (x) = cos(2x) − x for x ∈ [− π/2 , π/2 ].
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Calculus

09/22/23

The velocity v(t) of a vehicle is given as a function of time t by v(t) = 24 + 5t − t^2.
The velocity v(t) of a vehicle is given as a function of time t by v(t) = 24 + 5t − t^2. You are required to find the displacement of the vehicle after 5 seconds by assuming that the velocity of... more
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Calculus

09/22/23

Find the global extrema of the function
find the global extrema of the function f (x) = cos(2x) − x for x ∈ [− π/2 , π/2 ]. Find the critical points of f(x): f′(x)=−2sin(2x)−1 ... more
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Calculus Math

09/22/23

Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.
y = (√3) x + 2 cos(x), 0 ≤ x < 2𝜋Find a derivative y'Set y' = 0 and solve for xx1 = (smaller x-value)x2 = (larger x-value)Find the y values by substituting the values from Step 2 into the... more
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Calculus

09/22/23

second derivative question s(t) = t3 + 2t2 + 4t + 1 Find a(t)
Consider the following where s is in feet and t is in seconds.s(t) = t^3 + 2t^2 + 4t + 1 Find a(t)
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Calculus

09/22/23

Suppose that 𝑎 is a fixed number, and consider the function  𝑔(𝑥)=sin(𝑥−𝑎)+cos(𝑥+𝑎) 
Suppose that 𝑎 is a fixed number, and consider the function  𝑔(𝑥)=sin(𝑥−𝑎)+cos(𝑥+𝑎) Answer the following questions. Show and explain your work.(a) If 𝑎≠𝜋/4 what is the period of the function 𝑔(𝑥)?... more
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Calculus

09/22/23

The surface area of S of a sphere of radius r is given by S(r)=4πr2. Explain why, in the given context S(r) has an inverse function.

The surface area of S of a sphere of radius r is given by S(r)=4πr2. Explain why, in the given context S(r) has an inverse function. Identify the correct explanation. S(r) is linear and must have... more
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Calculus

09/22/23

Calculus 2 question, Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = x^9/5 about the x-axis over the interval [1,5].
Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = x^9/5 about the x-axis over the interval [1,5].
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Calculus

09/22/23

Find the inverse

Find the inverse of f(x)= x-2/1+8x
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Calculus

09/22/23

For each statement below, explain why it must be True, or provide a counterexample to show that it can be False.
For each statement below, explain why it must be True, or provide a counterexample to show that it can be False.(Note: 𝑓 is a function from ℝ to ℝ .)(a) If 𝑓 is even... more
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Calculus

09/21/23

Find domain and range
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Calculus

09/21/23

Find domain and range
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Calculus

09/21/23

Sketch exponential curves
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Calculus

09/21/23

Sketch shifted exponential functions
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Calculus

09/21/23

Monthly Loan Payment
You are purchasing an office space and will have to take out a 20 year loan for $327,000 at an interest rate of 7.3%. What will your monthly payment be?
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Calculus

09/21/23

Calculus Homework
(a) Find the slope m of the tangent to the curve y = 9 + 4x^2 − 2x^3 at the point where x = a.m=8a-6a^2(b) Find equations of the tangent lines at the points (1, 11) and (2, 9). y(x)=_______ (at the... more
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Calculus

09/21/23

Evaluation of a Piecewise Function
Given the piecewise functionf(x)={ 3x-45, 0 ≤ x ≤ 50}, {3x-65, 50 < x ≤ 100}, {3x-85, 100 < x ≤ 150}Find f(10) and f(50)
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Calculus

09/21/23

Calculate the slope of the line that passes through (8, 7) and (1, -7
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