25,270 Answered Questions for the topic calculus

Calculus Math

07/11/23

what is the integral of this function
73x+1*x2-(x+1)/x+4
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Calculus

07/11/23

local max and min
For f(x) = sin^2x - cosx, and 0 ≤ x ≤ pi, find the value(s) of x for each condition listed belowa) number of local maxima and what they areb) number of local minima and what they arec) global... more
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Calculus

07/11/23

local max & min
for f(x) = x - lnx, and 0.1 ≤ x ≤ 2, find the followinga) find the values of x for which f(x) has a local maximum ( in increasing order)x = x =b) find the value of x for which f(x) has a global... more
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Calculus

07/11/23

rectangular beam optimization
A rectangular beam is cut from a cylindrical log of radius r = 33 cm. The strength of a beam of width w and height h is proportional to wh2.find the width and height of the beam of maximum... more
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Calculus

07/11/23

optimization of shaded area with interval
Find the x-value maximizing the shaded area on the interval 0 <= x <= 22. One vertex is on the graph of f(x) = x^2/3 - 50x + 1000.x = ?
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Calculus

07/11/23

Optimization problem
For an open-topped rectangular box, with a square base x by x cm and height h cm, find the dimensions giving the minimum surface area, given that the volume is 18 cm3.x = 3.301 cmwhat would be the... more
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Calculus

07/10/23

Find a, b, c, and d such that the cubic function f(x) = ax^3 + bx^2 + cx + d satisfies the given conditions.
Relative maximum: (3, 9)Relative minimum: (5, 7)Inflection point: (4, 8)a = b = c = d =
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Calculus

07/09/23

The circumference of a sphere was measured to be 70.000 cm with a possible error of 0.50000 cm. Using linear approximation, what is the maximum error of the surface area
Then estimate the relative error in the calculated surface area.
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Calculus

07/09/23

Use the graph of f(x)=x2 below to find a number δ such that ∣∣x2−1∣∣<0.1 whenever 0<|x−1|<δ .

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Calculus

07/09/23

suppose you wanted to use linearization to estimate cuberoot 31, and then determine the error in that approximaition
we need an equation with x and y, what is the equation pick a point on the graph of the equation in part 1 that is close to the point that you are trying to estimate, what is that point write the... more
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Calculus

07/08/23

t ln(t + 5) dt find indefinite integral
indefinite integral
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Calculus

07/08/23

Riemann Sum value

Find the value V of the Riemann sum V=n∑k=1 f(C_k)Δx_k for the function f(x)=x2+2 using the partition P = { 1, 3, 5, 8 }, where ck is the left endpoints of the partition.
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Calculus

07/08/23

the radius of a circle is increasing at a constant rate of 0.4 meters per second. what is the rate of increase in the area of the circle at the instant when the circumference is 60pi?
I got to the point of :dA/dt=(2pi r) dr/dtI am confused whether I can replace the 2pir with 60 pi since 2pir represents the circumference and if I can put 0.4 as dr/dt?
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Calculus

07/07/23

Distance Formula and closest to point on graph.
Find the points on the graph of the function that are closest to the given point; f(x) = x^2 − 5, (0, −2)
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Calculus

07/07/23

How can I get interval in this limit?
f(x) = e^x if x>=0 x-1 if 0<x<1 In(x) if x>=1 Q. Use the graph to determine the values of a for which lim f(x) exists. ... more
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Calculus

07/07/23

Inverse functions

At a particular location, f(p) is the number of gallons of gas sold when the price is p dollars per gallon. (a) What does the statement f(1) = 4090 tell you about gas sales? When the price is $1... more
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Calculus

07/06/23

Tangent Lines (Choose multiple)
a) choose the correct equation(s) of the tangent line(s) to the circle x^2 + y^2 = 25 at the points where x = 4. 1. y = 3 - 4/3(x-4) 2. y = -3 -4/3(x-4) 3. y = 3/4x 4. y = -3/4x 5. y = 3 +... more
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Calculus

07/06/23

Equation of Tangent Line

Find the equation of the tangent line to the following curve at the indicated point.y2 = x2/(xy-4) at (4, 2)
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Calculus

07/06/23

Linear Approximation
a) FInd the tangent line approximation to cosx at x = pi/4I already figured the answer out which was 1/√2 - 1/√2(x-pi/4)b) to one decimal place, estimate the error in the approximation for 0 ≤ x ≤... more
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Calculus

07/06/23

How do I get the value of the limit in this question (Regarding calculus- limits)

Use a table of values to estimate the value of the limit (correct to three decimal places). If you have a graphing device, use it to confirm your result graphically.lim ... more
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Calculus

07/06/23

Different type of Limits questions
Let   f(x) =   x^2 +  x -  6                     ------------------                      x^2 +  5x + 6For each of the following, determine the value of ”c” that makes... more
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Calculus

07/05/23

Calculate correlation coefficients [description]
Find the correlation coefficient, r, of the data... more
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Calculus

07/05/23

y=x^2(arcsinx)^3
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Calculus

07/05/23

y=e^x(inverse secx)
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Calculus

07/04/23

How do I know the slope of the tangent in this problem? (Regarding tangent problem)

Q. The point P(1,0) lies on the curve y=sin(17π/x).If Q is the point (x, sin(17π/x)), find the slope of the secant line PQ (correct to four decimal places) for the following values of x. I got,x=2... more
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