25,270 Answered Questions for the topic calculus

Calculus Math

06/14/23

Newton's method to approximate a root

use newtons law to approximate the root of 2x^7+3x^4+4=0 let x1=3 find second and third apporximation ofcarry atleast 4 decimal places in your calculations
Calculus Math

06/13/23

Volume of a solid found by rotating the region around the y-axis

Let R be the region in the first quadrant enclosed by the graphs of y=4x^2, x=1 and y=0. FInd the volume of the solid obtained by rotating the region R about the y-axis. Please express your final... more

06/13/23

Double Integral Problem - Appreciate your help

∫∫D (2x2 y) dA, where the region D is bounded by y=3x2 and y=16-x2I want to know how to represent it/ set it up in terms of both dx dy, AND dy dx.
Calculus Math Probability

06/13/23

Joint Density/Distribution

Let X and Y be jointly continuous random variables with a joint density given byfXY (x, y) = c where 20 < x < y < 40,where c is a constant. Find c and the joint distribution function for X... more
Calculus

06/13/23

Find the volume bounded by f(x) = x^(2), g(x)= (1)/(x), and the line y = 3 by shells and disk method. The answers should be the same.

I figured out that the bounds are either 1 to sqrt of 3 or 1 to 3. I am not sure. Any help would be appreicated. Thank you!
Calculus Physics

06/13/23

physics question

From the top of a building, a physics student tosses a ball, which is given an initial velocity of 8.50 m/s at an angle of 15.0 below the horizontal. It strikes the ground 5.00 s later.(a) How far... more
Calculus

06/12/23

f(x) = x^3 + 3sin x + 2cos x | Find (ƒ^(-1))'(2)

ƒ(x) = x3 + 3sin x + 2cos xFind (ƒ-1)'(2)
Calculus Precalculus

06/12/23

Find the scalar equation of the plane that contains P and is parallel to the yz-plane

The parametric equations for a line and a plane that intersects at a point P are given below e={x=4+4t pi={x=1+4s y=3 y=2+3s+t z=1 ... more

06/12/23

Unsure how to write equation

Use your graphing calculator to help you complete each part. A function multiplies the input by -3 then subtracts 2 to obtain the output. 1) Write an equation that matches the function description.... more
Calculus Math

06/12/23

How to solve this..please help me

If F(x,y,z)=(-xy)i-(xz)j+(2yz)k and C is the closed triangular curve oriented counterclockwise around the plane x+z=3 from y=0 to y=4 in the first octant viewed from above, use Stoke's theorem to... more

06/12/23

unsure how to find domain and range

Write the domain and range of this verbally described function in interval notation. An exponential function where the inputs are all real numbers greater than -10 and at most 6 and the outputs are... more

06/12/23

Struggling to write equation that matches function

Use your graphing calculator to help you complete each part. A function multiplies the input by -3 then subtracts 2 to obtain the output. 1) Write an equation that matches the function description.... more
Calculus

06/12/23

the area of the region bounded by the graphs of the equations.

Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your result. (Round your answer to three decimal places.) y = (x2 + 5)/x , x = 1, x = 6, y =... more
Calculus Precalculus

06/12/23

Use logarithmic differentiation to determine the derivative.

Let f(x)=x7x. Use logarithmic differentiation to determine the derivative.F(x)= ?F(1)=?
Calculus Algebra 1 Algebra 2

06/11/23

Unsure how to sketch graph

Use your graphing calculator to help you complete each part. A function squares the input then adds 3 to obtain the output. Sketch the graph of the function. 

06/11/23

Unsure how to make a table of values algebra help needed

Use your graphing calculator to help you complete each part. A function squares the input then adds 3 to obtain the output. 2) Complete the table of values describing the function.

06/11/23

Unsure how to write equation that matches function

Use your graphing calculator to help you complete each part. A function squares the input then adds 3 to obtain the output. 1) Write an equation that matches the function description. Use x for the... more

06/11/23

Rewrite this logarithm in a form with no logarithm of a product, quotient or power

log {sqrt [(x^2 +16) / (x^2 +20)(x^3 -2)^2)] }
Calculus

06/11/23

fundamental theorem of calc 2

the population of a town is increasing at a rate given by  P′(t)=33e0.012t​,where P is the population t years after the beginning of 1990. If the population at the beginning of 1990 was 5200​, then... more
Calculus

06/11/23

definite integrals

 If a​ = 14​, then find the value of   ∫−a3af(x) dx.   ROUND YOUR FINAL ANSWER TO 4 DECIMAL PLACES.∫−a3af(x) dx ≈ ___ 
Calculus

06/11/23

basic integrals 16

A stone is thrown from the top of a tall cliff. Its acceleration is a constant​ -32 ftsec2  ​(So A(t)​ = -32). Its velocity after 3 seconds is −2 ftsec​, and its height after 3 seconds is 280... more

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