25,270 Answered Questions for the topic calculus

Calculus

03/25/24

Find the arclength of the curve r(t) = <9sqrt(2t), e^(9t), e^(-9t)>, 0<_t<_1
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Calculus

03/25/24

which are impossible which are possible
A function f has f(5)=23,f′(5)=1.9 and f′′(x)<0, for x≥5. Which of the following are possible values for f(5.5) and which are... more
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Calculus

03/25/24

List the critical point(s) of f
Let f(x)=x^3+9x^2−21x+4Part 1: Critical PointsList the critical point(s) of f
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Calculus

03/25/24

Find the function blanks

Letf′(x)=4−3x2�′(�)=4−3�2be the derivative of a continuous function f�. Fill in the blanks below. 1.   f� is increasing for x∈�∈ functions 2.   f� is decreasing... more
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Calculus

03/25/24

What is the smallest length of fencing that will be required to do this?
A rancher wants to fence in a rectangular area of 16000 square feet in a field and then divide the region in half with a fence down the middle parallel to one side. What is the smallest length of... more
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Calculus

03/25/24

Let f be a function that is even and continuous on the closed interval [−5,5] .
The figure above shows the graph of  , the derivative of a twice-differentiable function  , on the interval [–3, 4]. The graph of  has horizontal tangents at x = –1, x = 1, and x = 3. The areas of... more
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Calculus

03/24/24

The graph of the second derivative of a function is shown below. State the x-coordinate(s) of the inflection points of f
The graph of the second derivative  of a function  is shown below. State the x-coordinate(s) of the inflection points of f. If more than one value, separate your answers using commas.GIVE ME THE... more
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Calculus

03/24/24

A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle.
A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle.If the total perimeter of the window is 20 feet, what... more
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Calculus

03/24/24

Suppose that you are at point A and want to get to point C on the other side of the river.
Suppose that you are at point A and want to get to point C on the other side of the river.You can either row your boat from point A to point C. Or, you can row from point A to some point P between... more
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03/23/24

Linear Algebra Question
Find the shortest distance from the point P=(-3,-2,-3) to a point on the line given by 1: (x,y,z) = (-7t, 1t, 1t). Please help ASAP. Another person answered this before but got it wrong. I also... more
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Calculus

03/23/24

A million years ago, an alien species built a vertical tower on a horizontal plane.

When they returned they discovered that the ground had tilted so that measurements of 3 points on the ground gave coordinates of (0,0,0) , (1,2,0) and (0,3,1) . By what angle does the tower now... more
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03/23/24

Calculus Help!!!
Evaluate (an integral f) sec^2 (x)(1+tan^3(x))dx
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03/23/24

Calculus Help!!
Determine the area of the region bounded by x=3+y^2, x=2-y^2, y=1, y= -2
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03/23/24

Calculus Help!!
a) Evaluate the Rieman sum for f(x) = 5x^2-2x, taking the sample points to be right endpoint and a=0,b=4, and n=2b) Evaluate (an integral of f 0 at the bottom and 4 at the top) 5x^2-2xdx, Using... more
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03/23/24

Calculus Help!!!
if f(2)=16, f' is continous, and (the integral of f2(at the bottom) and 6 as an exponent) f'(x)dx=19. what is the value of f(6)?
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03/23/24

calculus Help!!
if (an integral (f0^9)) f(x)dx=37 and (another integral f0^9) g(x)dx=16, Find (an integral f0^9) [2f(x)+3g(x)]dx
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03/23/24

Calculus Help!!
let f'' = x^6-4x^4+x+1 find f(x)
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Calculus

03/23/24

Consider the line which passes through the point P(-4,-2,-2), and which is parallel to the linex=1+7t,y=2+6t,z=3+5t Find the point of intersection of this new line with each of the coordinate planes:
Find the point of intersection of this new line with each of the coordinate planes: xy-plane ( __, __, __) xz-plane (__, __, __) yz-plane (__,__,__)
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Calculus

03/23/24

urgent please help!
Randomly select a point on the triangular region whose vertices are (0, 0), (0, 40) and (100, 0). Let the continuous random variable X denote the x-coordinate of the point. Find the cumulative... more
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03/22/24

Linear Algebra question
Find the shortest distance from the point P=(-3,-2,-3) to a point on the line given by 1: (x,y,z) = (-7t, 1t, 1t). Please help ASAP! Thanks!
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Calculus

03/22/24

Find the solution for which y = 6 when x = 0.
Solve the differential equation using the technique of separation of variablesdy/dx = (x + 5x2)/y4Find the solution for which y = 6 when x = 0.y = ________
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Calculus

03/22/24

Use separation of variables to find the solution to the differential equation
Use separation of variables to find the solution to the differential equation3(du/dt) = u2subject to the initial condition a(0) = 4.u(t) = _____
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Calculus

03/22/24

find its velocity and height 5 seconds later.
Falling-Body Problem Near the surface of the earth, the acceleration of a falling body due to gravity is 32 feet per second per second, provided that air resistance is neglected. If an object is... more
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Calculus

03/22/24

If the velocity at t = 0 is 4 meters per second, find the velocity 2 seconds later.
The acceleration of an object moving along a coordinate line is given by a(t) = (5t + 3)-5 in meters per second per second. If the velocity at t = 0 is 4 meters per second, find the velocity 2... more
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Calculus

03/22/24

How many feet does the car travel before coming to a complete stop?
A car traveling at 40 ft/sec decelerates at a constant 5 feet per second squared. How many feet does the car travel before coming to a complete stop?
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