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... more

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

08/29/22

Evaluate the following

evaluate the limit

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... more

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... more

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

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... more

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)

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

05/02/22

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.

04/29/22

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... more

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... more

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

HELP WITH PRECALC QUESTION simplify Cos2x sec2 x – cos2 x

simplify Cos2x sec2 x – cos2 x

04/20/22

The area enclosed by

The area enclosed by y = x2 – x and y = 1 – x2 is....

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

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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