25,270 Answered Questions for the topic calculus

Calculus

09/25/23

use the definition of the integral to evaluate
In this question, we will use the definition of the integral to evaluate ∫ −1 1​(1−x^2)dx If we partition the interval [−1, 1] into n subintervals, it is difficult to determine precise expressions... more
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09/25/23

The area of a sector of a circle with a central angle of 120° is 68 m2.  Find the radius of the circle.
The area of a sector of a circle with a central angle of 120° is 68 m2. Find the radius of the circle. (Round your answer to one decimal place.) m
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09/25/23

Find the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m.
Find the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m. (Round your answer to two decimal places.)s =  m
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Calculus

09/25/23

Trigonometric substitution
My daughter is having problems with this question. Any help is appreciated.a. Calculate the integral ((SR9x^2-4)/x^3)dx by using trigonometric substitution.b. Determine the Integrand obtained... more
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Calculus

09/25/23

indefinite integrals
My daughter is stumped on this. She was only able to get part of the problem correct. Any help is appreciated.Consider the indefinite integral (7x^3+7x^2+20x+16)/(x^4+4x^2)dxThen the integrand... more
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Calculus

09/25/23

Indefinite Integrals
My daughter is having a hard time understanding this and it's above my head. Any help to show her/me how to work this is greatly appreciated.Consider the indefinite integral... more
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Calculus

09/25/23

Indefinte integrals
My daughter is having problems with this one and it's way above me. Any help is appreciated.Consider the indefinite integral ((9x^3+8x^2+45x+54)/x^4+9x^2)dx then the integrand has partial... more
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Calculus

09/25/23

Work out an equation of the tangent line

if a function f(x) has f(3)=2 and f'(3)=4, work out an equation of the tangent line to the graph of y=f(x) at the point (3, f(3))
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09/25/23

Helpppp.. Algebraa.. Urgent
Find the exact value of each x∈[0,2π) for which cos^2 (x)= (1/2) sin(2x). If g(x)=5+3x/ x−3 What is the domain of g(x)? Verify (with sketch and/or short argument) that g is a one-to-one... more
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09/25/23

ALGEBRA HELPP!!!.

I am confused about this question because of ln, can someone explain these in steps? G(x) = ln (1−x^2) and f(x) =√(x+3), what is the subset of the domain of g at the composition of f(g(x))? Domain... more
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Calculus

09/24/23

Piecewise Functions

A privately owned parking lot is open 12 hours each day. It charges a $5 fee to park plus $3/hr up to 4 hours and $2/hr after 4 hours and up to 12 hours. The charges are proportional. For example,... more
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09/24/23

This exercise involves the formula for the area of a circular sector.
This exercise involves the formula for the area of a circular sector.The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. Find the radius of the circle. (Round your answer... more
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Calculus

09/24/23

I need help with this problem: Topic: Lines and Planes (Calculus 3)
Find the distance the point P(4, 1, -6), is to the plane through the three pointsQ(2, 2, -4), R(-1, 4, -3), and S(6, 4, -2).
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09/24/23

This exercise involves the formula for the area of a circular sector.
This exercise involves the formula for the area of a circular sector.The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 2 rad. (Round your... more
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09/24/23

This exercise involves the formula for the area of a circular sector.
This exercise involves the formula for the area of a circular sector.Find the area of a sector with central angle 7𝜋/8 rad in a circle of radius 14 m.
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09/24/23

This exercise involves the formula for the area of a circular sector. The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. find the radius of the circle
This exercise involves the formula for the area of a circular sector.The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. Find the radius of the circle. (Round your answer... more
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09/24/23

This exercise involves the formula for the area of a circular sector. The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. find the radius of the circle
This exercise involves the formula for the area of a circular sector.The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. Find the radius of the circle. (Round your answer... more
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09/24/23

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle.

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)The... more
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09/24/23

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.) 70°
The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)70°
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Calculus

09/24/23

For the function g whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
(a)    lim t → 0− g(t)(b)    lim t → 0+ g(t)(c)    lim t → 0 g(t)(d)    lim t → 2− g(t)(e)    lim t → 2+ g(t)
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Calculus

09/24/23

Consider the function f(x)= ln(|x-4|)
Consider the function f(x)= ln(|x-4|). Where are the discontinuities located and identify the type or types of discontinuity?f is discontinuous at x =?
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Calculus

09/24/23

Consider the function f(x)= ln(|x-4|)
Consider the function f(x)= ln(|x-4|). Where are the discontinuities located and identify the type or types of discontinuity?f is discontinuous at x =?
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Calculus

09/24/23

Suppose that f: R --> R is a continuous function, satisfying f(1)= 4
Suppose that f: R --> R is a continuous function, satisfying f(1)= 4What is the value of the limit lim x->1 f(x)?lim x->1 f(x)= ?
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Calculus

09/23/23

How DO I solve this question?
Find the linear equation of the plane through the point (1,2,3) and contain the line represented by the vector equation r(t)= < 3t, 5-4t, 1-8t >
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Calculus

09/23/23

find the equation of the line perpendicular to the line 4x+3y=9 that passes through the point (-1,2)
find the equation of the line perpendicular to the line 4x+3y=9 that passes through the point (-1,2)
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