09/14/22
Rates of Change
If a ball is thrown straight up into the air with an initial velocity of 80 ft/s, its height in feet after seconds is given by y = 80t - 16t2. Find the average velocity (i.e. the change in distance...
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09/12/22
A rectangular room is 3 meters longer than it is wide, and its perimeter is 30. Find the dimensions of the room
A rectangular room is 3 meters longer than it is wide, and its perimeter is 30. Find the dimensions of the room
08/13/22
Is this simple calculus 1 proof true?
What's up math experts, yesterday I saw a question related to calculus 1 in which they asked for a proof for the following: Let A and B be two bounded subsets of R. A ⊂ B ⇒ sup(A) ≤ sup(B). The...
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06/21/22
how do i do this word problem?
The function d(t)=8t^2 +16, models the distance in km that a motorcycle travels in t hours.Determine the motorcycle’s average speed from a time of 2 hours to a time of 4 hours andcompare that to...
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05/29/22
Sketch the region enclosed by the given curves and find the area.
Sketch the region enclosed by the given curves and find the area.Given: x=2y², x= 4+y
05/25/22
A particle moves along the x-axis with velocity v(t) = sin (πt) meters/sec.
A particle moves along the x-axis with velocity v(t)=sin(πt) meters/sec.(Positive velocity corresponds to movement to the right, and negative velocity- movement to the left.)Find the...
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05/08/22
What is the answer to this integral problem?
If ∫02 f(x) dx = 15, ∫23 f(x) dx = 12, and ∫03 g(x)+5 dx = 10, then what is ∫03 2f(x) - 3g(x) dx?
05/05/22
How do I find smallest theta value, largest theta value, and a value in between
Evaluate the cube root of z when z = 125 cis(255°). (Let 0 ≤ 𝜃 < 360°.) Find (Smallest 𝜃-value)(In between value)(Largest 𝜃-value)
05/04/22
volume of a solid
Find the volume of the solid obtained by revolving the graph of the line y=x on the interval [0,h] around the x axis
antiderivative velocity question
A particle moves on a straight line and has acceleration a(t)=18t+14.Its position at time t=0 is s(0)=6 and its velocity at time t=0 is v(0)=14.What is its position at time t=7?
04/29/22
Use this graph of f consisting of a quarter circle and two line segments.
Use this graph of f consisting of a quarter circle and two line segments.Based on the graph, 20 + π.20 + 4π.40 + π.40 + 4π.
Derivatives - calc
Compute the following derivatives. Assume a and b are constants, f and g are functions, and x is the input variable. Your answers may include any or all of the symbols x, a, b, f and g, as well as...
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04/22/22
Analyze the given function using calculus f(x)=(1/x)+ln(x)
a) Using the first derivative only, identify the intervals where the function increases or decreases.b) Using the second derivative only, identify the intervals where the function concaves upward...
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04/22/22
Please help me answer this calculus questions.
Determine the maximum and minimum values of the curve y = xex + 3
04/22/22
Confused on a calculus question please help
Find the area of the region outside the circle r1 and inside the limacon r2. Round to two decimal places.r1 = 3r2 = 2+2 cos θ
04/20/22
Mathematics calculus
Find the area (in square units) of the region under the graph of the function f on the interval [3, 7].f(x) = 4ex − x
04/19/22
Mathematics calclus
Find the area (in square units) of the region under the graph of the function f on the interval [−1, 2].f(x)=-x^2+9
04/19/22
calculus integral question
Consider the integral:21∫ x^3 dx3-Use all three methods to approximate this integral with n = 3-Find the exact value of this integral
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