Sunday
July 24, 2016

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
If the function f is defined by f(x)=0 if x is rational f(x)=1 if x is irrational prove that lim x-->0 f(x) does not exist. Can someone help me answer this question step by step so I would know how to prove a question like this next time? Thank you.
Saturday, September 19, 2015 by Anonymous

Calculus
I don't know limits fairly well. The problem is prove the limit using definition 6, lim x -> -3, 1 / (x+3)^4 = infinity. The books definition for definition 6 is, let f be a function defined on some open interval that contains a, except possibly at a itself, then lim x...
Saturday, September 19, 2015 by Anonymous

Differentitate:calculus
Differentitate:X^2.sinx/(x+1)(x^2-1)....​..???
Friday, September 18, 2015 by Edward

Calculus
Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt root s , where s is time in seconds. The area of the spill when seconds is s=5 seconds.
Friday, September 18, 2015 by Caitlin

Calculus
lim as x approaches pi/4 of (1-cotx)/(cosx-sinx)
Thursday, September 17, 2015 by Carin

Pre-Calculus
Parabolas; find Vertex, focus, directrix? 1) (y+1)^2 = -4(x-2)
Wednesday, September 16, 2015 by anonymous

calculus
lim h → 0 (−2 + h)2 − 4 h
Tuesday, September 15, 2015 by Anonymous

Calculus
I have done one part of this question. I am, however, unsure as to how to set up the graph. Can someone help me? 1. Use a graph to find a number N such that |(6x^2+5x-3)| | |------------- -3 | < 0.2 whenever x>N |(2x^2-1)| | y=2.8 and y=3.2 My issue is how to find the x...
Tuesday, September 15, 2015 by Anonymous

Calculus
May someone answer this question for me? Thank you! I appreciate it. a.) Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval. f(x)=(2x+3)/(x-2), (2, ∞)
Tuesday, September 15, 2015 by Anonymous

Calculus
I know the derivative of x is 1, but I'm having a hard time proving it with the limit definition of the derivative. I have... Lim delta x ->0 (x+ delta x)-(x)/delta x = 0 But I know the answer is 1. I don't understand what I am doing wrong
Monday, September 14, 2015 by K

Calculus
Find the limit as x approaches infinity. sqrt(81x^2 + x)− 9x. I've worked this two different ways and have gotten 0 and 1/9, neither of which is the right answer according to the homework system??
Monday, September 14, 2015 by kelly

Calculus
If a rock is thrown upward on the planet Mars with a velocity of 19 m/s, its height (in meters) after t seconds is given by H = 19t − 1.86t^2. When will the rock hit the surface?
Monday, September 14, 2015 by kelly

Calculus 1
Find the derivative of f'(x) of f(x)=4sqrt(x) using limits
Monday, September 14, 2015 by TayB

Calculus 1
Find the slope of the tangent line and the equation of the tangent line to f(x)=x^2-x at x=3
Monday, September 14, 2015 by TayB

Calculus 1
Find the horizontal and vertical asymptotes of (3x^2-48)/(x^2-3x+10)
Monday, September 14, 2015 by TayB

Calculus
A funnel is constructed by removing a sector form a circular metal sheet with 7 inch radius. Determine the maximum volume of the funnel constructed in this way if the small amount of volume lost at the tip of the funnel is neglected.
Monday, September 14, 2015 by Kingsly

pre calculus
A ship’s sonar detects a submarine 880 feet below a point on the ocean’s surface 1450 ft dead ahead of the ship. To the nearest degree, find the angle x.
Monday, September 14, 2015 by devante

Calculus
How can I show that the function F (x)= the integral from 2x to 5x of 1/ t dt is constant on the interval (0, +∞).
Sunday, September 13, 2015 by Anonymous

calculus
A rock is thrown upward with a speed of 48 feet per second from the edge of a cliff 400 feet above the ground. What is the speed of the rock when it hits the ground? Use acceleration due to gravity as –32 feet per second squared and approximate your answer to 3 decimal ...
Sunday, September 13, 2015 by Anonymous

Pre-calculus- URGENT
Convert the rectangular coordinate (-8,i (square root of 3) into polar coordinates. How do I do this?? I tried every way I knew of to convert the y coordinate (i (square root of three)) to polar form, but it didn't work. I think that the polar form of the x coordinate is ...
Sunday, September 13, 2015 by Ellie

Calculus
Let f(x) be the function f(x)={x2−c for x<4, {3x+4c for x≥4. Find the value of c that makes the function continuous.
Saturday, September 12, 2015 by Lou

Pre-calculus
write the complex number -5 in polar form. I don't get how to do this because arctan of b/a would be 5/0 which is a fraction with no solution. Also, is a zero? Sorry if I'm being confusing! Thank you!
Saturday, September 12, 2015 by Ellie

Calculus 1
A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 5. (Round your answers to two decimal places.) f(t) = t^−1 − t *We havent learned derivative yet but we ...
Saturday, September 12, 2015 by TayB

ap calculus
((1/-2-h)-1)/h
Friday, September 11, 2015 by alex

CALCULUS
How do I determine whether the function is even, odd, or neither. How do I describe the symmetry? ex 1) f(t)= t&2 +2t -3
Friday, September 11, 2015 by SARA

CALCULUS
20.) How do I find the zeros of the function algebraically? ex1) f(x)= x^3 -4x^2 -9x +36 ex3) f(x)= 3 +(5/x) ex7) f(x) = (2x^2-9)/ (3-x)
Friday, September 11, 2015 by SARA

Calculus
solve for x: 6x=ex+1
Friday, September 11, 2015 by Anonymous

calculus ab
Use a graphing utility to graph the function and visually estimate the linits h(x)= -x^2 + 4x
Friday, September 11, 2015 by chris

calculus
hey guys, quick question (-8 +- sqrt -20)/-6 what does this equal
Friday, September 11, 2015 by Karlie

Calculus
If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is given by y = 34t − 16t^2. Find the velocity when t = 1.
Thursday, September 10, 2015 by kelly

Pre-Calculus
A rectangular window is topped with a semicircle. The height of the rectangular part is 1 more than 3 times its width, w meters. Which function represents the total area, A, of the window in terms of the width?
Thursday, September 10, 2015 by Caitlin

Calculus
Verify the following identities, cos 3x = 4 cos^(3) x - 3 cos x
Thursday, September 10, 2015 by Ribie

Calculus 1
Find the requested derivative using limits a. 𝑓′(-4)if f(x)=sqrt(1-2x) b. 𝑓′(a)if f(x)=(2x+1)/(x+3) c. 𝑓′(x) if f(x)=x^-2
Thursday, September 10, 2015 by TayB

Calculus 1
Find the instantaneous velocity, using limits, for the given value of t of an object moving according the given equation. a. s(t)=t^2–8t+18 ; t=3 b. 𝑠(𝑡)=1/t^2 ; t=1
Thursday, September 10, 2015 by TayB

Calculus and Vectors
In triangle RST, RS=4, RT=7, and ST=5. Determine the measures of the angles to the nearest degree. I solved correctly for T's angle of 34 degrees. Once I try using the sine law to solve for angle S, I keep getting 78 degrees, when it's supposed to be 102 degrees. I ...
Wednesday, September 9, 2015 by Chuck

CALCULUS -HELP!
How do you find all real values of x such that f(x)=0? Example 1: f(x)=15-3x Example 2: f(x)= (12-x^2)/5 Example 3: f(X)= x^3 -x
Wednesday, September 9, 2015 by JAKE

Calculus
If a ball is thrown into the air with a velocity of 40 ft/s, its height in feet t seconds later is given by y = 40t − 16t^2. Find the average velocity for the time period beginning when t = 2 and lasting for each of the following. 1) 0.5 seconds.
Wednesday, September 9, 2015 by kelly

calculus
D(x)=x^2+2x C={(x,y)|y=4x-5} 1) D(C(x)) f(x)=1+3 sqrt of x+2 2) f(f(x))
Tuesday, September 8, 2015 by anon

calculus
What is the general soln of dy/dx=9(x^2)(y) and particular soln of dy/dx=3x^2(e^-y)
Tuesday, September 8, 2015 by jhun

calculus
derivative of y=ln(2x-1)
Monday, September 7, 2015 by herher

Calculus using the first derivative
Y=e^x differentiate using the first principle
Sunday, September 6, 2015 by Edward

Pre-Calculus HELP!
change the polar equation r=5/1+cos(theta) to rectangular form. How do I do this? Thank you! :)
Sunday, September 6, 2015 by Ellie

calculus
what is the range for the function j(x)=5+sqrt of 2-x
Saturday, September 5, 2015 by anon

PRE CALCULUS
1.) The cash flow per share for the Timerland Co. was $0.18 in 1995 and $4.04 in 2003. Write a liner equation that gives the cash flow per share in terms of the year. Let t=5 represent 1995. Then predict the cash flows for the years 2008 and 2010. 5.) The University of ...
Friday, September 4, 2015 by Emma

calculus
a particle starts from rest and moves along a straight line with an acceleration equal to 24-15√t where distance and time are measured in terms of feet and seconds respectively. with what acceleration will the particle return to the starting point?
Friday, September 4, 2015 by justin

calculus
If the driver of a car wishes to increase his speed from 20 mph to 50 mph while traveling a distance of 528 ft., what constant acceleration should he maintain?
Friday, September 4, 2015 by justine

Pre Calculus
In exercise 100, you are given the dollar value of a product in 2005 and the rate at which the value of the product is expected to change during the next 5 years. Use this Info. to write a linear equation that gives the dollar value V of the product in terms of the year t. (...
Thursday, September 3, 2015 by Emma

Pre-Calculus
Write a linear equation to fit the description. The line with a slope of zero containing the y-intercept of x/3 + y/9 = 1 I'm not sure what to do here. Can someone please help me?
Thursday, September 3, 2015 by Yani

Calculus (limits)
The question is to "state the value of each quantity, if it exists." We are given a piecewise function that is graphed, and no equation. What does it mean when we're asked to find f(2)?
Thursday, September 3, 2015 by Kelly

calculus
the equation y+y"=0 is the differential equation of? a.)sine function b.)sinusoidal c.)cosine function d.) a and c e.) abc
Thursday, September 3, 2015 by .do

calculus
determine the diameter of closed cylindrical tank in meters if the volume is 11.3m^3 to get min. surface area.
Wednesday, September 2, 2015 by .do

calculus
determine the diameter of closed cylindrical tank in meters if the volume is 11.3m^3 to get min. surface area
Wednesday, September 2, 2015 by .do

calculus
find the largest cylinder w/ height h that can be inscribed in a cone w/ height H
Wednesday, September 2, 2015 by dope

calculus
Find the area bounded by the curve y=1/2+2, the x-axis, and the lines x=1 and x=4. a.7 1/2 b.10 2/3 c.16 d.28 1/2
Wednesday, September 2, 2015 by tammy

Pre-Calculus
1) j(x)=-2/3x what is j(x)'s y-intercept? answer: (0,0) 2) k(x)=4 what is k(x)'s slope? answer: 0 3) g(x)=2x-5 what are the root(s) of g(x)? 4) the slope of line p if p is perpendicular to line f are the answers i provided correct? and please help me on 3 and 4
Tuesday, September 1, 2015 by Sam

Pre-Calculus
focus at (-2,0) directrix the line x=2
Tuesday, September 1, 2015 by anonymous

Pre-Calculus
Write an equation to fit the description. 0° Celsius = 32° Fahrenheit. 100°C = 212°F. (Let x = degrees Celsius and y=degrees Fahrenheit.) y=9/5x+32 Is this correct?
Monday, August 31, 2015 by Lucy

Calculus
A 6 feet tall man walks away from a streetlight that is 15 feet high at a rate of 5 ft/s. Express the length 's' of his shadow as a function of time. What I have so far: I set up a triangle and used similar triangles to create a ratio (6/s) = (s/d+s) s = (6d + 30/15s) ...
Monday, August 31, 2015 by Rosie

Calculus
Differentiate y=[(8x-x^6)/(x^3)]^(-4/5) My answer: [4x^3(16+3x^5)]/5 • fifth root of [(8x-x^6)/(x^3)] ^9
Sunday, August 30, 2015 by Anonymous

Calculus
Differentiate e^cos (x^2+1). My answer: -2xe^cos(x^2 +1) • sin(x^2+1)
Sunday, August 30, 2015 by Anonymous

Calculus
Find the equation of the tangent line to f(x)=sec x - 2 cos x at (pi/3, 1).
Sunday, August 30, 2015 by Anonymous

Calculus
Differentiate. f(x)=(cos x)/x I got to here: (-x sin x - cos x)/x^2
Sunday, August 30, 2015 by Anonymous

math calculus
Find the half-life (in hours) of a radioactive substance that is reduced by 30 percent in 40 hours.
Sunday, August 30, 2015 by Urgent help

math calculus
In the year 2005, a picture supposedly painted by a famous artist some time after 1815 but before 1865 contains 95 percent of its carbon-14 (half-life 5730 years). Approximately how old is the painting? In years
Sunday, August 30, 2015 by Urgent help

Calculus
Differentiate. f(x)=(cos x)/x I got to here: (-x sin x - cos x)/x^2 Find the equation of the tangent line to f(x)=sec x - 2 cos x at (pi/3, 1). Is the slope 3 times sqrt of 3? Equation is y=3 times sqrt of 3x - pi times sqrt of 3 +1??
Saturday, August 29, 2015 by Anonymous

Calculus
Find the equation of the tangent line to f(x)=x sec x at (pi/4, pi •sqrt of 2 all over 4). I got to here, but did not know what to do next: slope: (pi/4)(sqrt of 2 over 2) + (sqrt of 2 over 2) everything over 1/2=.......
Saturday, August 29, 2015 by Anonymous

Calculus
Find the derivative. d/dx[sqrt of x (x^3 +1)] My answer in its most simplified form: (7x^3 + 1)/ 2 • sqrt of x
Saturday, August 29, 2015 by Anonymous

calculus
R is the first quadrant region enclosed by the x-axis, the curve y = 2x + b, and the line x = b, where b > 0. Find the value of b so that the area of the region R is 288 square units.
Saturday, August 29, 2015 by Anonymous

calculus
The base of a solid is bounded by the curve y= sort (x+2) ,the x-axis and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid.
Saturday, August 29, 2015 by Anonymous

Math (Pre-calculus)
The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatile bonds yielding 11%. How much should they invest in each type of bond to...
Saturday, August 29, 2015 by ELVIA

pre-calculus
Rewrite each equation into slope intercept or special case form. 1) 4x+3=8x 2) 9y-(7+3y)=0 I have no idea how to do these two. Can someone please help me? 3)x/2+y/7=1 My answer is y=-7x+14. Is this correct?
Saturday, August 29, 2015 by d

Math (Pre-calculus)
An artist is creating a mosaic that cannot be larger than the space allotted which is 4 feet tall and 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist ants the words to all be horizontal in ...
Saturday, August 29, 2015 by ELVIA

calculus
Find the domain for the particular solution to the differential equation dx/dy=1/2x, with initial condition y(1) = 1.
Saturday, August 29, 2015 by Anonymous

integral calculus
integrate. (1):sin2xcos3x (2):5(cos3x)^2
Saturday, August 29, 2015 by edward

calculus
A snowball is melting at the rate of 2 inches per hour. How fast is the surface area of the snowball changing at the instant the snowball has a radius of 3 inches i tried (d/dt) = 4pir^2 (dr/dt) its multiple choice and -72pi isnt there so im just trying to figure this out
Friday, August 28, 2015 by Thomas

Calculus
Let f be a function defined for all real numbers. Which of the following statements must be true about f? Which might be true? Which must be false? Justify your answers. (a) lim of f(x) as x approaches a = f(a) (b) If the lim of f(x)/x as x approaches 0 = 2, then f(0)=0. (c) ...
Friday, August 28, 2015 by Anonymous

pre-calculus
h(t)=15t + 1200 is a function that models the motion of a mountain climber. h(t) is his height above sea level at time t in minutes. 1a) the coefficient on t is 15. what does it tell you about the motion of the mountain climber? 1b) what does it tell you about the graph of h(t...
Thursday, August 27, 2015 by d

calculus
a colony of bacteria living on a petri dish under optimal conditions doubles in size every ten minutes. At noon on a certain day, the Petri dish completely covered with bacteria. At what times (to the nearest hour, minute and second) was the percentage of the plate covered by ...
Thursday, August 27, 2015 by john

Calculus 1
simplify the expression. cos(2 tan^-1 x)
Thursday, August 27, 2015 by TayB

Calculus 1
Find the exact value of each expression. (a) cot^-1(sqrt(3))
Thursday, August 27, 2015 by TayB

Calculus 1
Find the exact value of each expression. (a) tan(sec^−1 5) (b) sin(2sin^-1(5/13))
Thursday, August 27, 2015 by TayB

AP Calculus
Find each of the limits without a calculator. Use the limits as an aide to sketch the graph of f(x)= (x-2)/(|x|-2) for-10<_x<_10 and -6<_y<_6. Be sure to clearly indicate any asymptotes, holes or other important characteristics. lim x->∞ f(x)
Wednesday, August 26, 2015 by Ana

Calculus
True or false. 1. If f(x) has a vertical asymptote at x=a, then the limit of f(x) as x --> a from the left is negative infinite and the limit of f(x) as x--> a from the right is positive infinite. I think this is true. Take for instance, a rational function. the two ...
Wednesday, August 26, 2015 by Anonymous

Calculus
The equation of a circle, C, is x^2 + y^2 + 6x - 8y +9=0. Find the center of C and find the radius of C. Show that the C touches the x-axis. Find the equation of the circle which is a reflection of C in the y-axis
Wednesday, August 26, 2015 by Sabrina

Calculus
Derivatives - chain rule An airplane, flying horizontally at an altitude of 1 mile, passes directly over an observer. If the constant speed of the airplane is 400 miles per hour, how fast is its distance from the observer increasing 45 seconds later? Hint: note that in 45 ...
Tuesday, August 25, 2015 by Ribie

Calculus
Derivatives - chain rule An airplane, flying horizontally at an altitude of 1 mile, passes directly over an observer. If the constant speed of the airplane is 400 miles per hour, how fast is its distance from the observer increasing 45 seconds later? Hint: note that in 45 ...
Tuesday, August 25, 2015 by Ribie

Calculus 1
Use a graph to estimate the values of x such that e^x > 1,000,000,000
Monday, August 24, 2015 by TayB

calculus
find the two numbers whose sum is 10, if the product of one by the cube of other is a maximum.
Monday, August 24, 2015 by jen

Calculus
If 2 < or = to f(x) < or = to x^2 + 2 for all x, find the limit of f(x) as it approaches zero.
Sunday, August 23, 2015 by Anonymous

Calculus
F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity.
Sunday, August 23, 2015 by Anonymous

Differential calculus
A gutter with trapezoidal cross section is to be made from a long sheet of tin 8 in wide by turning up one third of its width on each side , what width a cross the top that will give a maximum capacity
Sunday, August 23, 2015 by Grace

calculus
y=2^nx differentiate with respect to x using the first principle
Sunday, August 23, 2015 by edward

Calculus
If 2 < or = to f(x) < or = to x^2 + 2 for all x, find the limit of f(x) as it approaches zero.
Sunday, August 23, 2015 by Anonymous

Calculus
F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity.
Sunday, August 23, 2015 by Anonymous

calculus: don't even no where to start from need help plz
(1)find dy/dx of y if y=tan^(-1)1/x^2 (2) if y=3z^2.z^2 find dy/dz (3) if y=x^x show that dy/dx=x|n(x+1).. thanks
Sunday, August 23, 2015 by edward

Calculus
Find the limit as it approaches zero. ( f( x + change in x) - f(x) )/ change in x given f(x)=2x-5. ( change in x = triangle x)
Sunday, August 23, 2015 by Anonymous

Calculus
Graph the function f(x)= x sin( 1/x) and the equations y=|x| and y=-|x| in the same viewing window on your calculator. Then use the squeeze therom to find the limit of f(x) as it approaches zero. I graphed the function and equations, but I am confused on how to find the limit ...
Sunday, August 23, 2015 by Anonymous

Calculus
What would the limit be for the following problems? lim (square root (x+3)) x--> 1 I thought it would be 1.4 lim (1/x) x--> 7 I thought it would be 0 or .1 but neither of those show to be correct. Thank you!
Saturday, August 22, 2015 by Serena

Calculus 1
A variable star is one whose brightness alternately increases and decreases. For one such star, the time between periods of maximum brightness is 4.7 days, the average brightness (or magnitude) of the star is 5.3, and its brightness varies by ±0.35 magnitude. Find a ...
Saturday, August 22, 2015 by TayB

Calculus
A line rotates in a horizontal plane according to the equation Y = 2t^3- 6t, where Y is the angular position of the rotating line, in radians, and t is the time, in seconds. Determine the angular acceleration when t = 2 sec.
Saturday, August 22, 2015 by Linda

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Homework Help: Math