25,270 Answered Questions for the topic calculus

Calculus

12/03/23

solve for dy/dx when x = (x/y) - 4y

I solved the equation by getting y on one side and then solve for the derivative using the quotient rule. I got:dy/dx = [4y - 4x(dy/dx)] / [(x+4y)^2]Is it ok if I leave dy/dx in my solution? How... more
Calculus

12/03/23

Calculus Question

Given that the graph of f(x) passes through the point (4,7) and that the slope of its tangent line at (x,f(x)) is 6x+3, what is f(4) ? .
Calculus

12/03/23

Calculus Question

A particle is moving with acceleration a(t)=24t+14. its position at time t=0 is s(0)=13 and its velocity at time t=0 is v(0)=17. What is its position at time t=5? 
Calculus

12/03/23

Calculus Question

A stone is thrown straight down from the edge of a roof, 1125 ft above the ground, at a speed of 5 ft/sec.A. Given that the acceleration due to gravity is -32 ft/sec2, how high is the... more
Calculus

12/03/23

Calculus Question

A stone is dropped from the edge of a roof, and hits the ground with a velocity of −100 feet per second. Assume the acceleration due to gravity is -32 feet per second squared. How high (in feet) is... more
Calculus

12/03/23

Find the point on the line −2x+3y−2=0 which is closest to the point (1,−5) .

Please help
Calculus

12/03/23

Definite integrals

Confused on the part where you insert numbers after the s (ex 1/2S u^3du)=u^4/8 how do I get the information after the s? Any video recommendations? Thank you!!!
Calculus

12/03/23

Really confused and need help

Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.) ∫6 to 3 x/2+x^5dxI can't solve it no matter what I... more
Calculus

12/03/23

Puzzled with how to answer

If ∫5to1 f(x)dx=8 and ∫5to3f(x)dx=5.2, find ∫3to1 f(x)dx
Calculus

12/02/23

I'm so confused

Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.) ∫6 to 3 x/2+x^5dx
Calculus

12/02/23

Don't know how to answer

Given that ∫1 to 0 9x√x^2+9 dx=30√10−81, what is ∫0 to 1 9u√u^2+9 du?
Calculus Precalculus

12/02/23

What was the initial population at time t=0?  Find the size of the bacterial population after 3 hours. 

The doubling period of a bacterial population is  10 minutes. At time t=90 minutes, the bacterial population was 60000.What was the initial population at time t=0?    Find the size of the bacterial... more

12/02/23

Physics lab: how do i find the uncertanity of c (specific heat of water)

Physics lab: how do i find the uncertanity of c (specific heat of water) , when this is the data i have: I have the mass of water= 0.2304 kg, I have the temp for every 15 second time interval, i... more

12/02/23

Physics lab: how do i find the uncertanity of c (specific heat of water)

Physics lab: how do i find the uncertanity of c (specific heat of water) , when this is the data i have: I have the mass of water= 0.2304 kg, I have the temp for every 15 second time interval, i... more
Calculus Math

12/02/23

Horizontal Tangents of Implicitly Defined Curve (No Calculator)

Find the equation of the horizontal tangent lines to the curve defined by 2x2+3y2=12.Answer options:A. x = +/- √6B. y = +/- 2C. x = 0D. y = +/- √6

12/02/23

how do i find the uncertanity of c (specific heat of water)

Physics lab: how do i find the uncertanity of c (specific heat of water) , when this is the data i have: I have the mass of water= 0.2304 kg, I have the temp for every 15 second time interval, i... more

12/02/23

how do i find the uncertanity of c (specific heat of water)

Physics lab report question: how do i find the uncertanity of c (specific heat of water) , when this is the data i have: I have the mass of water= 0.2304 kg, I have the temp for every 15 second... more
Calculus

12/01/23

Sketch the graph of a function that satisfies all of the given conditions.

Sketch the graph of a function that satisfies all of the given conditions.f(x) is odd (symmetric through the origin).f'(2)=0, f'(x)>0 if -22, lim x->infinity f(x)=2, f''(x)<0 if 0 < x... more
Calculus

12/01/23

solving intergrals

Let g(x) be a continuous function, and G(X) is an antiderivative of g(x).You are given that G(-2)= -2, G(2)= 1, ∫g(x)dx= 3 b=2 and a=5, and ∫g'(x)dx=21 b=7, a=3.Find the value of each of the... more
Calculus Math

12/01/23

2nd order differential equations

Find the general solution to the non-homogeneous differential equation.y'' − 5y' + 4y = 3exthe homogenous part would be y(x) = C1e^x+C2e^4xfor yp would i guess Ae^x or Axe^x
Calculus

12/01/23

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

y=x3, y=1, x=2; about y=-3
Calculus

12/01/23

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

x=2-y2, x=y4; about the y-axis
Calculus Math

12/01/23

if A={*,/,+,-,}, find A

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