25,270 Answered Questions for the topic calculus

Calculus

02/06/24

Question asks to find F(-1) and then F'(x) please explain thoroughly how u would solve this, thank you!

f(x) = ∫ 1 to x^2 (as the x value range) sin(t) dt
Calculus

02/06/24

Could someone please help me solve this question? and if you could explain how as well I would really appreciate it

Approximate using three equal subintervals. Draw a picture of the graph of the function showing your rectangles. Indicate the width and height of each rectangle. Show clearly how you got your... more
Calculus

02/06/24

Use integration by parts to evaluate the integral

a. ∫cos-1xdxI did u=cos^-1x and dv=dx, so du=-1/(sqrt(1-x^2))dx and v=x. I'm not sure if this was right, but I proceeded anyway and got ∫cos-1xdx=cos-1x(x)=∫x(-1/(sqrt(1-x^2))dx. But I'm not sure... more
Calculus

02/06/24

Find the limits. Use L'Hospital as needed.

limit as x approaches 0 of (cscx-cotx)I started off by combining the two, since they have the common denomonator of sinx, so (1-cosx)/sinx. Since I got type 0/0 for this equation, I differentiated... more
Calculus

02/06/24

Find the limit. Use L'Hospital's rule as needed.

limit as x approaches 0 of (x2)/(1-cosx)I started off by determining the type and got type 0/0, so I found the derivates of f(x) and g(x), which were 2x and sinx. Is the answer 0?
Calculus

02/06/24

Evaluate the indefinite integral of tanxcosx dx

02/06/24

plzz help, urgent (calculus)

evaluate tan(sin^-1(1/4)). g(x)+ (x-1)/(x+2). a) what is the domain of g(x) b) verify (with sketch and or other argument) that g is a one-to-one function. c)find a formula for the inverse function.... more

02/06/24

plzz help urgent, calculus :)

Solve the following two problems related to trigonometric functions and their inverses:(a) Solve the equation cot x = 2sin(2x) for x E [0,pi}.(b) Evaluate tan(sin^-1(1/4)).

02/06/24

Plzz help (Calculus).. quick help :) Urgent

You put D0 dollars into your savings account in a bank that offers a fixed annual interest rate. If the interest is compounded continuously, one can derive that at a later time, in year t>0, the... more

02/06/24

plz help urgent. Calculus

√(x + 1/x-1) , and g(x)=lnxa) determine the domains and ranges of these functions; b) find formulas for (f◦g)(x) and (g◦f) (x) ; c) find the domain of the composite functions of part(b).
Calculus Math

02/05/24

The derivative of the function g(x) = x^5 - x^4 reaches its minimum value when x =

Answer choices:A) 0B) 3/5C) 4D) There is no minimum.Could someone explain how to solve this? My friend and I are very confused.
Calculus Math

02/05/24

Find the Integral Below:

Please show a graph and a step by step process of how to graph the piece wise function for the integral.
Calculus

02/05/24

calculus 1 question

a hot air balloon full of seniors skipping school rising from the ground of the parking lot at 140 ft/min. The teacher is standing at the door 500 feet from the point of lift off. When the balloon... more
Calculus

02/05/24

Limits and functions with a's?

The limit below represents the derivative of some function f(x) at some number a.lim h->0 2(3+h)^3-54/h State the function and the number:f(x)=a=
Calculus

02/05/24

Functions and Quotient

Let f(x) be the function 1 / x+5. Then the quotient f(5+ℎ)-f(5) / h can be simplified to -1 / aℎ+b for:a=andb= (I've been able to get a, which is 10 but for some reason I keep getting b as 0 and... more
Calculus

02/05/24

Functions and Quotient

Let f(x) be the function 1 / x+5. Then the quotient f(5+ℎ)-f(5) / h can be simplified to -1 / aℎ+b for:a=andb= (I've been able to get a, which is 10 but for some reason I keep getting b as 0 and... more
Calculus

02/05/24

Functions and Quotient

Let f(x) be the function 1 / x+5. Then the quotient f(5+ℎ)-f(5) / h can be simplified to -1 / aℎ+b for:a=andb= (I've been able to get a, which is 10 but for some reason I keep getting b as 0 and... more
Calculus

02/05/24

Evaluate the definite integral from -2 to 3 of the absolute value of x^2-x

Definite Integral
Calculus

02/05/24

Evaluate the definite integral x times the √x -1 from 0 to 4

Definite Integrals
Calculus Math

02/05/24

Use the properties of integrals to evaluate the integral below.

Please show the step by step process.

02/04/24

Are you looking for an algebra1 and 2 tutor?

Calculus

02/04/24

Calculus 4 Question

For the function f(x, y) = sqrt(9 - x^2 - y^2),a. Sketch the level curves f(x, y) = c the values c = 0, 1, 2, 3, justifying your conclusions. You should sketch them all on the same graph in the... more
Calculus Math

02/03/24

Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of x=y^(5/4) and x=0, 0<=y<=1 about the x-axis..

Please help. Very confused, due very very soon.Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of x=y5/4⁢ and⁢ x=0, 0≤y≤1 about the x-axis. ... more

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