Thursday
February 23, 2017

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
Evaluate the integral: the integral of the cube root of x, dx. a. (3/4)x^(4/3)+C b. (3/2)x^(2/3)+C c. 1/(3x^(2/3))+C d. None of these I got (3x^(4/3)/4)+C. I was wondering if it would be D.
Thursday, February 23, 2017 by Louis

Calculus
Evaluate the integral. 1/2 integral e^(t/2) (I'm not sure what the 1/2 on the left of the integral symbol means.)
Thursday, February 23, 2017 by Anonymous

Calculus
An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. In how many seconds does it attain maximum height? i know i need to use the formula: y(t)=-16t^2+Vot + yo Have: vo=160 Yo= is what i am trying to find and i dont know how to solve ...
Thursday, February 23, 2017 by Roger

Math/Calculus
Find the equation of the tangent line to the given equation at the indicated point a) y^2=cos(5x-3y) at ((2pi+3)/5, 1) b) x^2+x^2y+4=0 at (2,-2)
Wednesday, February 22, 2017 by Anonymous

Calculus
Kayla claims that she can find an approximate value for sin 1o without using a machine to do any computations. Explain or show how she can do this (Hint: if you choose to explain the process, please be very specific. If you choose to show how it is done, you can use your ...
Wednesday, February 22, 2017 by Demi

Differential equations,Calculus
So I have the following differential equation. The general solution I have is: t=k(-1/r)+c I now need to find the particular solution when t=0 and the radius (r) = 1cm. So k is a constant which is approx 3.9 (5/4pi) So for the particular solution im really just plugging in the...
Wednesday, February 22, 2017 by Anon

Calculus (RATE OF CHANGE)
Two cars leave a town at the same time and travel at constant speeds along straight roads that meet at an angle of 60° in the town. If one car travels twice as fast as the other and the distance between them increases at the rate of 81 mi/h, how fast is the slower car ...
Tuesday, February 21, 2017 by Jeff Henderson

Calculus (RATE OF CHANGE)
Estimate the instantaneous rate of change at the point indicated. (Round your answer to four decimal places.) y(x) = 1/ x + 2; x = 2
Tuesday, February 21, 2017 by Jeff Henderson

Calculus
What is y=-2/7x-1 in standard form?
Tuesday, February 21, 2017 by Anonymous

Calculus
What is y=-18x+13 in standard form?
Tuesday, February 21, 2017 by Anonymous

calculus
One litre of water at 0 degrees Celsius will have a different volume at higher temperatures. For a temperature 0 ≤ T ≤ 30 (in Celsius) this volume (in litres) is well approximated by the function V = −aT 3 + bT 2 − cT + 1 using the coefficients a = 9.8 × 10−8, b = 3...
Tuesday, February 21, 2017 by Mable

Calculus
Integrate sqrt(16+x^2) dx
Tuesday, February 21, 2017 by Dhrupal Patel

Calculus
Integrate x^2/(sqrt(x^2-25)dx
Tuesday, February 21, 2017 by Dhrupal Patel

Math - Calculus
Directions (or bearings) on Earth are measured in degrees, running from zero to 360 degrees, clockwise, starting with 0 degrees being due North. So due East for example, is 90 degrees, due South 180 degrees, and Northwest is 315 degrees. You are swinging a rock clockwise (...
Tuesday, February 21, 2017 by Jamie

Math
The letters in the words ALGEBRA, GEOMETRY, and CALCULUS are represented by the sets V= {A, L, G, E, B, R}, W= {G, E, O, M, E, T, R, Y}, and X={C, A, L, U, S}, respectively. I don't understand this can someone help?
Tuesday, February 21, 2017 by EmberShy

Differential equation, calculus
Hiya, Dt/dr =k/r^2 Is this directly solvable or do I need to separate variables. I've got t=-k/r+c from the former and something along the lines of r^3=kt+c from the latter. Think I'm doing it all wrong. Thanks
Tuesday, February 21, 2017 by Anon

Pre Calculus 30
1.How many positive three-digit integers can be made from the digits {3,4,5,6,7} if digits may be repeated? 5x4x3=60 2.In how many ways can all of the letters of the word HEXAGON be arranged if the arrangement must start with a consonant and end in a vowel? 4x3x1x2x3x4x5=1440 ...
Monday, February 20, 2017 by John

calculus
A convex lens of a focal length f can be defined by the lens equation 1/f=1/p + 1/q if an object is a distance p from the lens, then the distance q from the lens to the images. For a particular lens, f=2cm and p is increasing find 1. a general formula for the rate of change of...
Monday, February 20, 2017 by donnie

calculus
The position of a particle is given by the equation of motion s(t)= 1/(1+t)where t is in sec and s in meters find the velocity.
Monday, February 20, 2017 by donnie

Pre Calculus 30
I'm having a hard time understanding the fundamental counting principal and I don't even know where to start on some of the questions.Here are a few questions I'm having trouble with. 1.Andrea, Brian, Carol, David, Emmalee, Floyd, and Gloria are to stand in a line for a ...
Monday, February 20, 2017 by John

Calculus
Please help me solve these problems. 1.Find the inverse function (f^-1) of √3x-2 2. Integration ∫ the top is x while the bottom is 1. (sin(t))/t dt
Sunday, February 19, 2017 by Jessica

Calculus II
Find the centroid (x¯,y¯)(x¯,y¯) of the region bounded by: y=5x^2+6x y=0 x=0 x=6 I know the integral (think, at least) is from 0 to 6 and between the first and second equation given, but I missed this lecture and have no idea how to find the center of mass
Sunday, February 19, 2017 by Ethan

Pre-Calculus
How do I solve the equation: 3 = 2.1 sin[(pi/6)t - 5pi/6] + 3.2
Sunday, February 19, 2017 by Brian

calculus
The voltage in a electric current is 100 volts then with Ohm's law how do you find the instantaneous rate of change of I with respect to R ta a resistance of 20 ohms if R is increasing I know how to use the instantaneous formula but what is f(a)
Saturday, February 18, 2017 by kim

Calculus
Given k(p) = |p|+4, find the average value of this function on the interval from -4 to 4. I get 6.
Thursday, February 16, 2017 by Anonymous

Math - Calculus
f(x) = { x^2sin(1/x), if x =/= 0 0, if x=0} a. find lim(x->0)f(x) and show that f(x) is continuous at x=0. b, find f'(0) using the definition of the derivative at x=0: f'(x)=lim(x->0) (f(x)-f(0)/x) c. Show that lim(x->0)f'(x) does not exist. In particular, this means ...
Thursday, February 16, 2017 by Anonymous

Calculus
Find the derivative of the integral from 2 to 5x of (sqrt(1 + u^2))/u. My answer: (sqrt(1 + 25x^2)/5x) * 5
Wednesday, February 15, 2017 by Anonymous

Calculus Question! ASAP!
Hello! I have this problem: x(dx)/sqrt(9-x^2) I was wondering why I can't use trig substitution and substitute sqrt(9-x^2) for sqrt(1-sec^2) and having: integral x = 3sin(theta) dx = 3cos(theta)d(theata) integral 3sin(theta)(3cos(theta))/3cos(theta) having the 3cos(theta) ...
Wednesday, February 15, 2017 by Lucy

IB Calculus
A particle moves along the x-axis so that at any time t≥0, its velocity is given by v(t)=t^2-16t+4 What is the velocity of the particle when its acceleration is zero?
Wednesday, February 15, 2017 by Angela

Calculus
Air is being pumped into a spherical hot air balloon at a rate of 50 cm^3/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 200 cm.
Wednesday, February 15, 2017 by Kevin

Pre calculus
find 2 exponential functions with asymptote of y=80 , with points (0,176) (1,169) (3,156) (5,146) (20,101) (30,90) (60,81).one should have the base of "e"
Tuesday, February 14, 2017 by Kevin

pre-Calculus
The coffee starts out at 176 degrees, and cools off like this… Min Degrees 1 169 2 162 3 156 5 146 10 125 15 111 20 101 30 90 60 81 If he measured the coffee at 2 hours and 3 hours, what temperature would it be?
Tuesday, February 14, 2017 by Tod

Math - Calculus
The horizontal velocity is constant. (Ignore air resistance.) Recall from your study of trigonometry that if you release a rock at a speed v in a direction that makes an angle α with the horizontal, then the initial vertical velocity vv and the horizontal velocity vh are ...
Tuesday, February 14, 2017 by Jamie

Calculus
M = log(E)-11.4/1.5 How do you express E in terms of M?
Tuesday, February 14, 2017 by Tyler

Pre calculus
explain how to do these with please. I was out a couple of days so give clear instructions. 1. sin(π/2-ϴ)secϴ 2. cot(π/2-ϴ)cosϴ
Monday, February 13, 2017 by save me

Pre-Calculus
explain how to do these with please. I was out a couple of days so give clear instructions. sin(π/2-ϴ)secϴ cot(π/2-x)cosϴ
Monday, February 13, 2017 by Anonymous

Calculus
A hang glider is standing at the top of a 3,000 foot cliff. The hang glider jumps off and begins to descend at a constant rate of 50 feet per second, how fast is the area of the triangle formed by the cliff, the hang glider, and the ground changing at the instant when the hang...
Monday, February 13, 2017 by Kevin

calculus
can someone also help me ndertsand this question ; y=x^3 +2x^2+3 represents the rate of an object over the interval [7, 10]. What is the average rate of the object over the time interval?
Monday, February 13, 2017 by Anonymous

calculus
can someone help me with this problem y=x^2 -9 represents the velocity of an object over the interval [1, 5] in meters per second. What is the displacement of the object over the time interval?
Monday, February 13, 2017 by Anonymous

Calculus
Differentiate each 1. Y= 1/x + 3/x^2 + 2/x^3 2. Y= x^5(1+ x)^5 3. Y= 4-x^2 / 2x+3 Can someone help me I'm lost
Monday, February 13, 2017 by Elizabeth

Calculus for Business Administration and social s
Simplify the cubed root of 432x to the 12th power
Monday, February 13, 2017 by Lanetta

Math; Calculus
You toss a rock up vertically at an initial speed of 55 feet per second and release it at an initial height of 6 feet. The rock will remain in the air for_______ seconds. It will reach a maximum height of_______ feet after ________ seconds.
Sunday, February 12, 2017 by Maddie

College calculus
Find the dy/dx A. y = u sqrt u + 1; u = 2x^2 - 2/3 B. x = u/ (1 + u^3); y = u^2 /(1 + u^3) Can someone help me
Sunday, February 12, 2017 by Nicole

Calculus
A point moves along the curve y= x^3 -3x + 5 so that x= 1/2 square root t + 3 where t is the time. At what rate is y changing when t = 4? Need some help!!!
Sunday, February 12, 2017 by Elizabeth

basic calculus
A page is to contain 54 square centimeters of printed material. If the margins are 1 cm at the top and bottom and 0.5 cm at the sides, find the most economical width of the page (in cm).
Saturday, February 11, 2017 by james

Calculus
Show that there are at least two values of x in the interval (−π,π) such that x=1+sin(x)
Saturday, February 11, 2017 by Larin

Calculus 2
I cannot figure this out for the life of me. Maybe I am overthinking it. Money is transferred into an account at the rate of R(t)=5000t(e^-0.6t) If the account pays 2% interest compounded continuously, how much will accumulate in the account over a 9-year period?
Friday, February 10, 2017 by Alexis

Calculus prince@18
let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know how to post integral ...
Thursday, February 9, 2017 by Prince@18

Calculus
Suppose that a car dealer offers to sell you a car for $16500 or for payments of $275 per month for six years. To figure out what monthly interest (x) you’re actually being charged, you’d have to solve the equation:f(x)=60x(1+x)^72-(1+x)^72+1=0
Thursday, February 9, 2017 by Emily

calculus
a toy balloon is in the shape of a sphere. it is being inflated at the rate of 20 in^3 / min. at the moment that the sphere has volume 64 cubic inches. what is the rate of change of the radius ?
Thursday, February 9, 2017 by ivy

Calculus review
let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know how to post integral ...
Thursday, February 9, 2017 by Prince@18

calculus
Find the points on the graph y = -x^3 + 6x^2 at which the tangent line is horizontal. I found -x^2 + 4 = 0 are the points [4,32]
Wednesday, February 8, 2017 by heather

Calculus unit review
I wanted to ask this 1 questions because i didn't even know where to start. For a continuous function f(x), f(1) = 11, and Integral symbol from 1 to 5 f'(x)dx=9. Find f(5).
Wednesday, February 8, 2017 by Prince@18

Continuity Calculus Help
Find the value of constants c and d that make the function below continuous at x = 4. f(x) = x2 − 3x x < 4 c x = 4 d + x x > 4 c = d = 8 I got d=8, but finding c is giving me trouble.
Wednesday, February 8, 2017 by John

Continuity Calculus Help
9.0/1 points | Previous Answers SSTCalc6 2.3.046.My Notes Question Part Points Submissions Used Let f(x) = 4x2 if x > 2 4x + 3 if x ≤ 2. Show that f is continuous from the left at x = 2, but not from the right. lim f(x) = n→2− f(2) = lim f(x) = n→2+
Wednesday, February 8, 2017 by John

Continuity Calculus Help
The given function is defined for all x > 0 except at x = 8. Find the value that should be assigned to f(8), if any, to guarantee that f will be continuous at 8. (If an answer does not exist, enter DNE.) f(x)= Sqrt( x^2-64/x-8)
Wednesday, February 8, 2017 by Carli Minacapel

Calculus-derivatives
At what points on the graph of f(x)=6x^2+4x-9 is the slope of the tangent line -2?
Wednesday, February 8, 2017 by Angel

physics/calculus
A stone is thrown straight up from the edge of a roof, 600 feet above the ground, at a speed of 12 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 6 seconds later? B. At what time does the stone hit the...
Tuesday, February 7, 2017 by kloe

Calculus
My question is with a multi-part homework assignment that we got in class. The information given is : A factory manufactures widgets. The rate of production of widgets after t weeks is widgets/ week. The equation for this is dx/dt=30(1-(20/((t+20)^2))). The actual questions ...
Tuesday, February 7, 2017 by Noah

Calculus :
The rate at which ice in a skating pond is melting is given by dV/ft = -4t - 2 Where V is volume of the ice in cubic inches and t is time in days after March 1st. Skaters can use the pond as long as the volume is greater than 3 cubic ft. If the ice is 5cubic ft in march 1st, ...
Monday, February 6, 2017 by Char

Calculus
Given: A rock is thrown upward from the surface of a planet at 24m/s. It reaches a maximum height of 180 meters. Question: How fast is the rock falling when it lands on the planet? I am honestly dumbfounded by this problem. I feel that I don't have enough information, I don't ...
Monday, February 6, 2017 by Charlene

Pre-Calculus
determine the projection of u = 1.6 vector i + 3.3 vector j in the vector v = -2.1 vector i - 0.5 vector j direction
Sunday, February 5, 2017 by Trish

Pre-Calculus
a jet, in calm air conditions, travel with velocity vector (389, 389). the wind velocity (in mph) at the plane's cruising altitude is given by (0, 50). how fast is the plane's true speed
Sunday, February 5, 2017 by Trish

Calculus
Find the magnitude and direction angle of p=42i+35j
Saturday, February 4, 2017 by Elise

Calculus
Find the magnitude and direction angle of p=42i+35j
Saturday, February 4, 2017 by Rachel

Calculus
For which values of x does the curve Y= (3x^3-3x^2+1) / (2x^2-1) , have a horizontal tangent? Show steps or explain, i dont get it
Friday, February 3, 2017 by Carmen

Calculus
Comute f(x) of a) f(x) = sinxcosx / sinx + cosx b) f(x) = (1-x^2) / (1+x+x^2) c) f(x) = x^7 secx
Friday, February 3, 2017 by Jessi

Calculus
Knowing that F(-2) = -7, F'(-2)= 12, g(-2)= -3 and g'(-2)= -9, Compute: a) h'(-2) if h(x)= f(x)g(x) b) h'(-2) if h(x) = f(x) / g(x) c) h'(-2) if h(x) = g(x) / 1+(f(x))^2 Show all steps
Friday, February 3, 2017 by Mikey

Calculus
Let F(x) = (x+1) / (x^2-16). Use the definition of the derivative to compute f'(x) and give its domain. Show all steps.
Friday, February 3, 2017 by jaime

Calculus
A population of 1200 badgers grow by 6% every 8 years. How long does it take the population of badgers to grow 2000?
Friday, February 3, 2017 by Gary

calculus
Find the volume of a solid whose base is bounded by the parabola x=y^2 and the line x=9, having square cross-sections when sliced perpendicular to the x-axis.
Friday, February 3, 2017 by Ethan

Calculus
Write an expanded polynomial equation based on the following information. A cubic function with a zero x=3 (with multiplicity 2), a zero at x=2, and a constant term of 18.
Thursday, February 2, 2017 by Jay

calculus
limx--->3- 5/x-3 I think it is -inf but I don't know how to prove it
Thursday, February 2, 2017 by heather

calculus
A student throws a ball upward from a height of 48ft, initially at 32ft per second. What is the maximum height of the ball?
Thursday, February 2, 2017 by Haze

calculus
if limit x--->0(4-g(x)/x)=1
Thursday, February 2, 2017 by heather

calculus
limx--->0 3sin 3x/4x would it be 9/4
Wednesday, February 1, 2017 by sarah

Help! Calculus
I am so confused on how to solve this problem. I have it set up with y's on one side and x's on the other but I don't know what to do from there. Question: Solve the differential equation. The initial condition is y(0) = 1. ((x^2+1)^(1/2))(dy/dx) - (x/(2y)) = 0 y > 0 My ...
Wednesday, February 1, 2017 by Lucy

calculus
limx-->3 sin 3x/4x
Wednesday, February 1, 2017 by sarah

calculus
find the average rate of change of the function f(x)=x^3+1 over the interval [-1,1]
Wednesday, February 1, 2017 by Anonymous

calculus
Argus Company makes three​ products: A,​ B, and C. Each unit of A costs​ $4, each unit of B costs​ $2, and each unit of C costs​ $1 to produce. Argus must produce at least 20​ As, 30​ Bs, and 40​ Cs, and cannot produce fewer than 200 total units of​ As, Bs, ...
Wednesday, February 1, 2017 by namasya

calculus
if limx-->0(4-g(x)/x=1find limx--->0g(x)
Wednesday, February 1, 2017 by Anonymous

calculus
find the limit x-->inf (x^2+x)^1/2-(x^2-x)^1/2 so I know I multiply by the conjugate 2x/(x^2+x)^1/2+(x^2-x)^1/2 then I don't know where to finish problem
Wednesday, February 1, 2017 by kim

Calculus
True or False,... Im confused If the continuous function f(x) has a domain (-∞, +∞), then either lim --> ∞ exists, or limit X--> ∞ is +-∞
Tuesday, January 31, 2017 by LJ

basic calculus
x^3+x^2y+2y^2=0
Tuesday, January 31, 2017 by elijeh

basic calculus
x^3+x^2y+2y^2
Tuesday, January 31, 2017 by elijeh

basic calculus
find a appropriate formula for the area of a narrow circular ring....wedding band made of circular wire
Tuesday, January 31, 2017 by elijeh

basic calculus
find a appropriate formula for the area of a narrow circular ring
Tuesday, January 31, 2017 by elijeh

Calculus AB
What's the lim(x-->-infinity) sqrt(x^4-1)/(x^3-1)? I've tried solving for it but I got -1/0, which would make it undefined. Is that correct?
Tuesday, January 31, 2017 by Annie

Calculus AB
So the problem is "For x>0, d(lnx)/dx = 1/x and lne=1. A) find the tangent line approximation for ln 3 B) calculate the %error in approximation in part A. My teacher said the answer for part A is that 1/e, and I'm pretty confused. So far I the given info into point slope ...
Monday, January 30, 2017 by Annie

Pre-Calculus
How to solve sin(x/2) = 1 - cos x? I know you would use the half angle identity sin(x/2) = +-(√1 - cos x/2), just don't know what to do from there.
Monday, January 30, 2017 by Karen

Pre-Calculus
How to solve sin(x/2) = 1 - cos x? I know you would use the half angle identity sin(x/2) = +-(√1 - cos x/2), just don't know what to do from there.
Monday, January 30, 2017 by Karen

Calculus II
Sketch the region R defined by 1 ≤ x ≤ 2 and 0 ≤ y ≤ 1/x3. a) Find (exactly) the number a such that the line x = a divides R into two parts of equal area b) Then find (to 3 places) the number b such that the line y = b divides R into two parts of equal area
Monday, January 30, 2017 by Angel Santos

applied calculus
From a height of 25 meters a ball is thrown vertically upwards at a velocity of 5 meters per second. a.What time in seconds will the ball reach its maximum height? b.What is its maximum height? c.When will the ball strike the ground? d.What will be the ball’s velocity ...
Sunday, January 29, 2017 by Laura

Calculus
I am having trouble with this question and I am unsure how to solve it... True or False (with justification) The function sin(x) if x ≤ 0 f(x) = 1+cos(x) if x>0 has a jump discontinuity at x = 0.
Sunday, January 29, 2017 by Emily

calculus
I have a definition lim theta approaching 0 sin theta/theta = 1 so show if the limit x approaching 0 sin2x/5=2/5
Sunday, January 29, 2017 by sarah

calculus
define f(x)={x+a if x>2 {-1 if x=2 {ax+b if x<2. How to determine the values of a and b for which f(x) is continuous in the set of real numbers.
Sunday, January 29, 2017 by Angel

calculus
Define h(x)={x^2 if x>=-1 {ax+b if x<-1 If f(-2)=-1, how do i determine the values of a and b for which h(x) is continuous in the set of real numbers
Sunday, January 29, 2017 by Qin

calculus
Let g(x)={x^2-x-2 if x is not equal to 1 {0 if x=1
Sunday, January 29, 2017 by Liv

Calculus can you please show me the step by step s
The intensity of light varies inversely as the square of the distance from its source. If two searchlights are 600 meters apart and one light is 8 times as strong as the other, where should a man cross the line between them in order to be illuminated as little as possible
Saturday, January 28, 2017 by John

Calculus
The intensity of light varies inversely as the square of the distance from its source. If two searchlights are 600 meters apart and one light is 8 times as strong as the other, where should a man cross the line between them in order to be illuminated as little as possible
Saturday, January 28, 2017 by John

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Homework Help: Math