Monday
August 29, 2016

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
Find the absolute maximum and minimum values of the function f(x)=3(x-2)^(2/3)+5 on the interval [1,10]? I'm not sure how to do this. Please help.
Monday, July 11, 2016 by Jace

Pre-Calculus 11
What is the entire radial form of -3* cube root of 2? I go cube root of 54 as my answer but it is wrong
Sunday, July 10, 2016 by Rayan

Pre Calculus
Determine the quadrant in which an angle, θ, lies if θ = 5.40 radians. a. 4th quadrant b. 3rd quadrant c. 2nd quadrant d. 1st quadrant
Sunday, July 10, 2016 by Jessica Maths

Pre Calculus
Determine two coterminal angles (one positive and one negative) for θ = −503°. a. 217°,− 323° b. 217°, − 143° c. 307°, − 413° d. 127°, − 323° e. 127°, − 233°
Sunday, July 10, 2016 by Jessica Maths

Pre-calculus
Equation of the parabola with the vertex (0,3), axis parallel to OX, passing through (4,9)
Sunday, July 10, 2016 by Ces

Pre-Calculus 11
I don't know how to solve this... Question: Suppose 5/7ã3/2 is written in simplest form as aãb, where a is a real number and b is an integer. What is the value of b? (The square root is over the whole fraction of 3/2) A 2 B 3 C 6 D 14 I think it ...
Saturday, July 9, 2016 by Anonymous

Pre-Calculus 11
I don't know how to solve this... Question: Suppose 5/7ã3/2 is written in simplest form as aãb, where a is a real number and b is an integer. What is the value of b? (The square root is over the whole fraction of 3/2) A 2 B 3 C 6 D 14 I think it ...
Saturday, July 9, 2016 by Anonymous

Pre Calculus
Determine the quadrant in which a 130° angle lies. a. 4th quadrant b. 1st quadrant c. 3rd quadrant d. 2nd quadrant
Saturday, July 9, 2016 by Amelia

Pre Calculus
Determine the quadrant in which an angle, θ, lies if θ = 5.40 radians. a. 4th quadrant b. 3rd quadrant c. 2nd quadrant d. 1st quadrant
Saturday, July 9, 2016 by Amelia

Pre Calculus
Determine the quadrant in which an angle, θ, lies if θ = 8π / 7 a. 3rd quadrant b. 1st quadrant c. 4th quadrant d. 2nd quadrant
Saturday, July 9, 2016 by Amelia

Calculus
determine the equation of a plane, P3, that intersects the planes P1: x + y + 3z − 2 = 0 and P2: x − y + 2z = 0 in a point; a line. I know the normals are (1,1,3) and (1,-1,2) clearly the lines don't intersect because the normals are't multiples. So I don&#...
Friday, July 8, 2016 by Safiya

Calculus
Launching a missile to hit a target 100 miles away. Determine the launch speed of the missile along with the angle at which it's to be fired. Also, show your work and one of the angle that will work. Finally, assume that the only force acting on the missile is gravity.
Thursday, July 7, 2016 by James

AB Calculus
Assume that x, y, z and b are positive numbers. Use the properties of logarithms to write the expression logb 4(square root)x^7y^2 / z^4 in terms of the logarithms of x, y and z a. 28logbx+8logby-16logbz b. 7/4 logbx+1/2 logby-logbz c. 7/4logb(x+y-z) d. logb x+1/2 logby-logbz ...
Thursday, July 7, 2016 by Miriam

Calculus
Evaluate the definite Integral Integral [0 to pi/4] cos(2x)sec^2(pi/4 sin(2x))dx
Thursday, July 7, 2016 by Sarah

Calculus
use te fundamental theorem of calculus to evaluate the integral Integral [0, pi/3] sin^2(x)dx I'm confused on what F(x) should be
Thursday, July 7, 2016 by Sarah

Calculus
A 400 N object is hanging from two ropes that are suspended from the ceiling. One of the ropes forms a 60° angle with the ceiling and has a tension of 400 N. Calculate the tension in the second rope
Wednesday, July 6, 2016 by Safiya

Pre Calculus
The population P of a culture of bacteria is described by the equation P = 1600e^0.052t where t is time, in hours, relative to the time at which the population was 1600. (a) What was the population at t = 6 hours? Show your work. (b) After how many hours will the population ...
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Write the equation 5^2= 25 in logarithmic form. a. log255=2 b. log25=25 c. log52=25 d. log225=5 e. log525=2
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Use a calculator to find the value for log0.94769 to four decimal places. a. –0.0536 b. –0.9767 c. 0.9767 d. 0.0232 e. –0.0232
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Find the value of x. log4 65,536 = x a. x = 32,768 b. x=8 c. x = 65,536 d. x=4
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
16. Use a calculator to find a value for ln16.1 to four decimal places. a. 2.7788 b. –2.7788 c. –1.2068 d. 5.0814 e. 1.2068
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
17. population growing at an annual rate r will triple in a time t given by the formula t = ln 3/r If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? a. 6 . 6 years b. 1 years c. 5 . 3 years d. 2 . 2 years e...
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Assume that x, y, and b are positive numbers. Use the properties of logarithms to write the expression logb ^8xy in terms of the logarithms of x and y. a. logb^8 + logb x + logb^y b. logb^8+logbx c. logb^8+logby d. logb^8 + log8 x + log8^y e. logb^8+log8xy
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Assume that x, y and a are positive numbers. Use the properties of logarithms to write the expression loga x ^6y ^7 in terms of the logarithms of x and y. a. 42loga^x+y b. 42loga^x+7loga^y c. 6loga^ x + 42loga^ y d. 6loga^x+7loga^y e. 6loga^x+6loga^y
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
22. Solve the equation. 2x = 5 a. x = 0.5541 b. x = 5.8628 c. x = 2.3219 d. x = 1.4307 e. x = 1.6652
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Simplify the expression. log3 36 a. 6 b. 36 c. 3 d. 18 e. none of these
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Simplify the expression. 9 log 9 2 This is 9 to the power of log base 9 of 2 a. 2 b. 18 c. 4 d. 9 e. none of these
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an initial sample of 69 grams, how much will remain after 75 years? a. 1.5848 grams b. 61.5289 grams c. 0.0000 grams d. 1.0426 grams e. 17.2500 grams
Wednesday, July 6, 2016 by Jessica Maths

Pre Calculus
Evaluate the function f(x) = log3 x at x =1/27 without using a calculator a. –4 b. –2 c. 1/27 d. –3 e. 27
Tuesday, July 5, 2016 by Jessica Maths

Pre Calculus
Identify the x-intercept of the function f(x) = 2 ln(x-3). a. x=3 b. x=0 c. x=2 d. x=4 e. The function has no x-intercept
Tuesday, July 5, 2016 by Jessica Maths

Pre Calculus
Assume that x, y, and a are positive numbers. Use the properties of logarithms to write the expression log a 9 xy in terms of the logarithms of x and y. a. 9logbx+9logby b. 19 l o g b ( x + y ) c. 19 l o g b x + l o g b y d. logbx+logby e. 19 l o g b x + 19 l o g b y
Tuesday, July 5, 2016 by Jessica Maths

Pre-Calculus 11
Can you simplify this further? 2∛3 + 5∛3/4 - 12√11 + 5√11
Monday, July 4, 2016 by Rocket

Pre-Calculus 11
Simplify the following ∛375/4 This is how far I got ∛5*5*5*3/4
Monday, July 4, 2016 by Rocket

Pre Calculus
Can you give me an example of properties of functions in a real life example?
Monday, July 4, 2016 by Jessica Maths

Pre Calculus
Write f(x) =x^3-11x^2+18x+32 in the form f(x)= (x-k) q (x) +r when k=6 + (square root)6, and demonstrate that f(k)=r
Monday, July 4, 2016 by Jessica Maths

Pre Calculus
a. Identify the horizontal asymptotes of the function f(x)=x+6 / |x|+1 ( / = divided by/over) b. Make a summary of how you may sketch a graph of this rational function.
Monday, July 4, 2016 by Jessica Maths

Pre Calculus
The number of new accounts opened at a credit union in the years 2001 to 2006 can be approximated by the model N(t)= -80.6t^2+2100t+12000, where 11 <= t <= 16, with t = 11 corresponding to 2001. Using this model and your graphing calculator, determine the year in which ...
Monday, July 4, 2016 by Jessica

Calculus
A spider is descending vertically at a rate of 0.5 cm/sec. A lizard sits patiently on the ground at a spot 15 cm feet from the shadow of the spider (assume the shadow is directly below the spider). At what rate is the spider’s angle of elevation, θ, decreasing when ...
Sunday, July 3, 2016 by Jace

Calculus
Sand falls from a conveyor belt onto a conical pile at a rate of 6ft/mi^3. The radius of the base is always equal to two-thirds of the pile’s height. At what rate is the height of the pile changing when the radius of the base of the pile is 2 ft? I honestly have no idea ...
Sunday, July 3, 2016 by Jace

Calculus
Sketch the graph of the function that has the following properties. f is continuous on (-infinity, infinity). points: (-1,2), (0, 0), (-1,0) f'(x)>0 at (-infinity, -1) f'(-1)=0 f'(x)<0 at (-1, 1) f'(1)=0 f'(x)>0 on (1, infinity) f"(x)<0 on...
Thursday, June 30, 2016 by Sarah

calculus
the fence around a rectangular compound costs $4 a foot for three of the four sides. the fourth side is the wall of a building, so no fence is needed for that side. we will call the distance of the fence parallel to the wall w for width and the two other sides d for depth. a) ...
Wednesday, June 29, 2016 by kristi

Calculus
A box with square base and rectangular sides is being designed. The material for the sides costs 20 cents per square inch and that for the too and bottom costs 10 cents per square inch. The box is to hold 150 cubic inches. What dimension of the box will minimize the cost?
Wednesday, June 29, 2016 by Bella

Calculus
A printed page is to have 1.5 inches margin on all sides. The page should contain 144 square inches of type. What dimension of the page will minimize the area while still meeting these other requirements?
Wednesday, June 29, 2016 by Sarah

Calculus
A box (with no lid) is to be constructed from a sheet of card board by cutting the squares from corners and folding up the sides. Suppose the original sheet of card board measures 16 inches by 16 inches. What would the size of the squares removed to maximize the volume of the ...
Wednesday, June 29, 2016 by Anna

calculus
Find the volume generated by revolving about the x-axis the region bounded by the following curves y=sqrt/(4x+3),x=0,x=4, and y=0. (Use "pi" for π).
Wednesday, June 29, 2016 by SARAH

Differential Calculus
A norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window 10 m, express the area A of the window as the function of width x of the window.
Tuesday, June 28, 2016 by GRAY

Calculus
Use implicit differentiation to find the derivative of y with reapect to x x^2y-y^2+ln(xy)=1
Tuesday, June 28, 2016 by Anonymous

Calculus - Discontinuity
What kind of discontinuity is this piecewise function? Removable or jump? f(x) ={ (2x^2 - 5x - 3)/(x-3) if x does not equal 3 ............6...........................​.if x = 3
Monday, June 27, 2016 by Jane

Calculus
What kind of discontinuity is this: F(x)= (2x^2 - 5x -3)/(x-3) if x does not equal 3 6 if x=3 It is a pieces use function. I thought it was removable but my answer key says it is a jump discontinuity. This is from an exam review and I want to get it right.
Monday, June 27, 2016 by Bob

calculus
Find the general solution of the equation. 6t*dy/dt+y=sqrt (t),t>0.
Monday, June 27, 2016 by rebekah

calculus
500-gallon tank initially contains 200 gallons of brine containing 100 pounds of dissolved salt. Brine containing 2 pounds of salt per gallon flows into the tank at the rate of 4 gallons per minute, and the well-stirred mixture flows out of the tank at the rate of 1 gallon per...
Monday, June 27, 2016 by rebekah

calculus
Given a closed box with surface area = 16 and a square bottom, what value of x will maximize the volume of the box?
Monday, June 27, 2016 by buni

calculus
What function should be used to minimize the distance between and the point (2, 0)?
Monday, June 27, 2016 by bunneebud

calculus
Given the area of a rectangle is A = bh, and assuming the rectangle is open on one side, perimeter b + 2h = 40, what formula will maximize the area of the rectangle
Monday, June 27, 2016 by bunnybud

calculus
a particle is moving along the curve whose equation is" y=x^2? At what point on the curve are the x and y coordinates changing at the opposite rate?
Monday, June 27, 2016 by scott g

Calculus
The base of a solid is the region bounded by the lines y = 5x, y = 10, and x = 0. Answer the following. a) Find the volume if the solid has cross sections perpendicular to the y-axis that are semicircles. b) Find the volume if the solid has cross sections perpendicular to the ...
Thursday, June 23, 2016 by Jessica

General Physics
Clarification: this is calculus-based physics, so the methodology is not restricted to trigonometry only. I have two questions, so hopefully I can divide them up nice and evenly. Also, if you know where I should copy and paste proper vector notation from, please tell me so I ...
Thursday, June 23, 2016 by Justin

Calculus
Related rates: The volume of a cube is increasing at the rate of 40 mm^3/s. How fast is the surface area of the cube increasing when each edge is 10 mm?
Thursday, June 23, 2016 by anonymous

CALCULUS
State the intercepts, domain and range for y= |0.5x^2-2|.
Tuesday, June 21, 2016 by Peter

CALCULUS
Let y(t) denote the mass of a radioactive substance at time t.t. Suppose this substance obeys the equation y′(t)=−14y(t). Assume that, initially, the mass of the substance is y(0)=M>0. At what time does half of the mass remain? (Round your answer to 3 decimal ...
Monday, June 20, 2016 by Sarah

Calculus
A tetrahedron is formed in the rst quadrant by the three coordinate planes and the plane that meets the x-axis at a > 0, the y-axis at b > 0 and the z-axis at c > 0. Compute its volume. Kindly help
Monday, June 20, 2016 by Asfand

Calculus
The position, p(t), of an object at time t is given. Find the instantaneous velocity at the indicated time c. Also determine whether it is moving forward, backward, or neither at time c. p(t)=2-1/t at c=3
Monday, June 20, 2016 by Anonymous

Calculus
Find the area under the curve of y=-2x+6 from x=0 to x=3 using 3 strips of equal length using right endpoints. I tried this equation before and my answer was 9 but my teacher said it was wrong? and I also posted this before and Someone who helped me got the same answer. So I&#...
Friday, June 17, 2016 by Maya

Calculus
Given the function 6x+3y=18, find the area under the curve from x=0 to x=3 using 3 strips of equal length using the right end points. I was working on this and so I made the equation equal to Y=mx+b form so it ends up being Y=-2x+6, and now I am completely confused.. Please ...
Friday, June 17, 2016 by Maya

Calculus
lim x-->0 ((7-3x^5+x^2sinx)/(5cosx))
Friday, June 17, 2016 by anonymous

calculus
find the constants a and b so the function is continuous on a real line piecewise function: f(x)={5, if x<= -2; ax+b, if -2<x<3; -5, if x>=3 I know the limit x-->2- is 5 and limit x-->3+ is -5. I dont know how to find the constants
Friday, June 17, 2016 by anonymous

CALCULUS
∫4x^−1*sin(ln(6x))dx I got 4*[-cos(ln(6x))]+C but its wrong and im not sure why... Please Help!! Thanks
Thursday, June 16, 2016 by Sarah

Calculus
find the value of a, if it exists, such that the following function is continuous at X = 2. piecewise function f(x)={x^2-3x+1, if x>2; a, if x=2; 3-2x, if x<2 I found the limits from left and right of 2 = -1 so the limit exists but I don't know how to figure out a
Thursday, June 16, 2016 by Sarah

Calculus
F(x)=2x^2-log(x+5)/√16+x
Wednesday, June 15, 2016 by Bruno

CALCULUS
Find the derivative of y=4sinx−2cosx
Wednesday, June 15, 2016 by Sarah

calculus
A rectangular lot is to have an area of 1600m^2. Find the shortest that can can reach the building with one end resting on the ground outside the wall
Wednesday, June 15, 2016 by montefalco

Calculus
The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Right Rectangle Approximation, using the 4 intervals between those given points. x 4 9 11 14 15 f(x) -6 -11 -18 -21 -25 -11...
Tuesday, June 14, 2016 by Vikram

Calculus- PLEASE HELP
A rectangular piece of tin has an area of 1334 square inches. A square tab of 3 inches is cut from each corner, and the ends and sides are turned up to make an open box. If the volume of the box is 2760 cubic inches, what were the original dimensions of the rectangular piece ...
Tuesday, June 14, 2016 by James

Calculus
A rectangular piece of tin has an area of 1334 square inches. A square tab of 3 inches is cut from each corner, and the ends and sides are turned up to make an open box. If the volume of the box is 2760 cubic inches, what were the original dimensions of the rectangular piece ...
Monday, June 13, 2016 by James

Calculus- Reiny
Thanks for the help, but do you understand what Im suppoosed to graph on 2D d) Use a graphing calculator to sketch the graph of y = V(x). Use the viewing window [0, 24, 4] by [-2500, 4000, 500]. Then use the 2 nd – TRACE – maximum feature to calculate its maximum ...
Monday, June 13, 2016 by James

Calculus
A rectangular piece of tin has an area of 1334 square inches. A square tab of 3 inches is cut from each corner, and the ends and sides are turned up to make an open box. If the volume of the box is 2760 cubic inches, what were the original dimensions of the rectangular piece ...
Monday, June 13, 2016 by James

Calculus
let f(x)=2x-7. Use the rigorous definition of limit to show that lim x-->4 f(x)=1
Monday, June 13, 2016 by Sarah

AP Calculus AB
The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Right Rectangle Approximation, using the 4 intervals between those given points. x 4 9 11 14 15 f(x) -6 -11 -18 -21 -25 -11...
Monday, June 13, 2016 by Ryann

Calculus
lim x--> 2+ (tan(pi/x))
Sunday, June 12, 2016 by Anonymous

Calculus
Two positive numbers have the property that their product is 2 and their sum is as small as possible. Find their sum.
Friday, June 10, 2016 by Dylan

Calculus
Use pinching theorem to evaluate lim x-->1 ((x-1)sin(1/x-1)) I'm confused in the pinch theorem analytically
Thursday, June 9, 2016 by Anonymous

Pre-Calculus
Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to sell at least 100 laser printers this month and...
Wednesday, June 8, 2016 by Alexa

Pre-Calculus Matrix
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x - y + 3z = 12 x + 4y + 6z = -32 5x + 3y + 9z = 20 4 -1 3 12 1 4 6 -32 5 3 9 20 I believe that the solution does not exist and how can I prove that?
Wednesday, June 8, 2016 by Alexa

Pre-Calculus
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution. x + y + z = -5 x - y + 3z = -1 4x + y + z = -2 I really need help.. 1 1 1 -5 1 -1 3 -1 4 1 1 1 -2 I've done so many different methods to solve this and I get stuck..
Tuesday, June 7, 2016 by Alexa

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...
Tuesday, June 7, 2016 by Alexa

pre-calculus
A plane flies at a speed of 150mph at an angle of 10 degrees, after 6 seconds, the plane keeps the same speed but changes to an angle 18 degrees. How long in minutes would it take the plane to travel to a cruising altitude of 30,000 feet?
Tuesday, June 7, 2016 by Marc

maths-calculus help me
differentiate Arccosh(x^2+1)*dy/dx if y=arcsinh(coth(x^2) plz showfull work i plead my brain is fried
Sunday, June 5, 2016 by am in trouble

Calculus
which of the following is equivalent to integral (a,b) k*f(x)+C)dx where k and C are constants k integral (a,b)(f(x)+C)dx ***** intergral (a,b)kdx + intergral (a,b)f(x)dx+ intergral (a,b) Cdx k integral (a,b)f(x)+ integral (a,b) Cdx integral (a,b) kdx * integral (a,b) f(x) dx...
Friday, June 3, 2016 by Kevin

Calculus
Find F'(x) for F(x)= integral[from 1 to x] of cos(t^3)dt
Friday, June 3, 2016 by Kevin

Calculus
lim (x--> infinidy) x^2/ln(x)= -1 0 1 e does not exist
Friday, June 3, 2016 by Kevin

Calculus
Which of the following grows faster than e^x as x--> infinity x^4 ln(x) e^-x 3^x .5e^x
Friday, June 3, 2016 by Kevin

calculus
Find the point on the line 4x+2y+5=0 which is closest to the point (-2,-1)
Thursday, June 2, 2016 by Anonymous

Calculus
Find the area bounded by the parabola 8+2y-y^2 and the lines y=-1 y=3
Thursday, June 2, 2016 by Eli

Pre-Calculus
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x - y + 3z = 12 x + 4y + 6z = -32 5x + 3y + 9z = 20 Please help me..
Thursday, June 2, 2016 by Liz

Pre-Calculus
Solve the system by the substitution method. Show your work. 2y - x = 5 x2 + y2 - 25 = 0 I solved the problem but I got it wrong for some reason..can you solve it step by step?
Thursday, June 2, 2016 by Liz

Pre-Calculus
Locate the foci of the ellipse. Show your work. x^2/36+y^2/11=1 c^2=a^2-b^2 c^2=36-11 c^2=25 c= ± sqrt25 c= ±sqrt5*5 is this correct?
Thursday, June 2, 2016 by Liz

Pre-Calculus
Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression 2lnx - 6lny + 1/3ln e^12 as a simplified logarithm. Is this 2lnx - 6lny + 4, or can it be simplified further?
Thursday, June 2, 2016 by Anonymous

Pre-Calculus
How do I find the domain of K(x) = x(32 - 2x)^2?
Thursday, June 2, 2016 by Anonymous

Calculus
A base of a solid is the region bounded by y=e^-x, the x axis, the y axis, and the line x=2. Each cross section perpendicular to the x-axis is a square Find the volume of the solid
Thursday, June 2, 2016 by Hannah

Pre-Calculus
Find a polynomial with the zeros -1, 7, sqrt2, and -(sqrt2). Can this be f(x) = x^4 - 6x^3 - 9x^2 + 12x + 14?
Thursday, June 2, 2016 by Anonymous

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Homework Help: Math