Saturday
December 10, 2016

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
Given ||v|| = 5 theta=30 degrees, write the vector v.
Wednesday, November 2, 2016 by Sade

Calculus
What is the unit vector of v: <-6, -8>?
Wednesday, November 2, 2016 by Iris

Calculus
Find the particular solution that satisfies the differential equation and the initial conditions. F'(x) = 4x^2 f (-1)=3 F'(t)=10t-12t^3 f (3)=2
Wednesday, November 2, 2016 by Anonymous

Calculus
A 5ft tall person is walking toward a light 20ft off the ground at 8 ft/sec. What is the rate of change of the length of the persons shadow when they are 15ft away from the light? What is the speed of the tip of the shadow moving?
Wednesday, November 2, 2016 by Ben

Calculus
True or False If F(x) and G(x) are antiderivatives of f(x), then F(x)=G(x)+C If f'(x) = g(x) then integral g(x) dx = f(x) + C Integral f(x) * g(x)dx = integral f(x)dx * integral g(x)dx I have a feeling it's False True True
Wednesday, November 2, 2016 by James

Calculus
Find the particular solution that satisfies the differential equation and the initial conditions. f''(x) = x^2 f'(0) = 8, f(o)=4 f'(t) 10t - 12t^3, f(3) =2
Tuesday, November 1, 2016 by Emily

Calculus
Find the points on the lemniscate, given below, where the tangent is horizontal 2(x^2 + y^2)^2 = 49(x^2 ? y^2)
Tuesday, November 1, 2016 by Asfand

Calculus
Find dy/dx at the point (-3, 1) for the equation x = y^3-9y^2+5. A. -1/17 B. -1/13 C. -1/15 D. 1/17 E. 1/15 I posted this question before with a typo, but the point still doesn't appear to be on the graph of the function.
Tuesday, November 1, 2016 by Anonymous

Calculus
Find dy/dx at the point (-3, 1) for the equation x = y^3-9x^2+5.
Tuesday, November 1, 2016 by Anonymous

pre calculus
A rectangular parcel of land has an area of 4,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, correct to the nearest foot?
Tuesday, November 1, 2016 by Maya

calculus
find the economical proportion between the radius and height of the cylindrical can to give the least dimensions of a metal that encloses vloume of 10cu.in
Tuesday, November 1, 2016 by skorge

Calculus
The measurement of the circumference of a circle is found to be 70 centimeters, with a possible error of 0.9 centimeter. a) Approximate the percent error in computing the area of the circle. (Round your answer to two decimal places.) b) Estimate the maximum allowable percent ...
Monday, October 31, 2016 by Kayla

Calculus
The velocity of an object is given by v(t)=t(t^2-1)^(1/3) feet per second. Find the total number of feet traveled by the object in the time interval [0,3] seconds. (A)51/4 (B)34/3 (C)45/4 (D)51/8 (E)45/8
Monday, October 31, 2016 by Mike

calculus
indefinite integral : (sqrt(V^2sin^2(2pi/T*t))) dt
Sunday, October 30, 2016 by byu

Calculus differentiable and continous identify
1. Which of the above functions are not continuous where they are defined? Why? 2. Which of the above functions are not differentiable where they are defined? Why? Photo Link: goo.gl/photos/2RPU1dAWoKzUn4Pf8 For the first question, I said that graph F is not continuous because...
Sunday, October 30, 2016 by Ray

Calculus AB
Um I don't really understand these word problems so could someone help me please? 1) An object is thrown upward with an initial velocity of 5 m/s from an initial height of 40 m. Find the velocity of the object when it hits the ground. Assume that the acceleration of ...
Sunday, October 30, 2016 by Annie

Calculus AB
Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x-1)e^x. For which value of x is the slope of the tangent line to f positive? Negative? Zero? 2) Find an equation of the tangent line to the oven curve at the specified point. Sketch the curve...
Sunday, October 30, 2016 by Annie

Pre-Calculus
Why do we need to use the sum/difference formulas to find exact values? Please explain.
Sunday, October 30, 2016 by KW

Calculus AB
Could someone please help me with this? Calculate the instantaneous rate of change of f <note: f(x)=(x-6)/(x+6)> at x=6.
Sunday, October 30, 2016 by Annie

Calculus
Use the limit process to find the area of the region between the graph of the function and the y-axis over the given y-interval. f(y) = 7y, 0 ≤ y ≤ 2
Saturday, October 29, 2016 by Matt

Calculus
Determine an upper/lower estimate for the area under the curve f(x) = cos x between x = 0 and x = pi/2 . Show how you arrive at this estimate. This is the question that my teacher wanted us to answer and I'm not sure how to even start the process. Should I use Reimann'...
Saturday, October 29, 2016 by Mia

Business Calculus
As the financial consultant to a classic auto dealership, you estimate that the total value (in dollars) of its collection of 1959 Chevrolets and Fords is given by the formula v = 306,000 + 1,000t2 (t ≥ 5) where t is the number of years from now. You anticipate a ...
Friday, October 28, 2016 by Anonymous

Calculus
Given the vectors u = <−3, 7> and v = <5,1>, find 3u + 2v.
Friday, October 28, 2016 by Iris

Calculus
Given the vectors u = <−3,7> and v = <5,1>, find -½ u. A. <-1,-4> B. <-4,-1> C. <3/2,-7/2> D. <-3/2,7/2>
Friday, October 28, 2016 by Sade

Calculus
Find d^2y/dx^2 in terms of x and y given that 8x + 6y^2 = 8. Use the original equation to simplify your answer. A. y'' = -(4/9y^3) B. y'' = -9y^3 C. y'' = -4y^3 D. y'' = -27y^3 E. y'' = -(8/27y^3)
Friday, October 28, 2016 by Anonymous

Calculus I
(Six pigpen problem). A 2 × 3 array of six congruent rectangular pigpens (that all look the same from above) will be in the overall shape of a rectangle R. We may use 100 feet of fencing to form the boundaries of the pigpens. Find the dimensions for a single pigpen that ...
Friday, October 28, 2016 by Rebecca

Calculus
How to derive cosh (3x) in terms of cosh (x) and sinh (x) ? Initially I start with 1/2 (e^3x+e^-3x) but I'm stuck from there because I don't know how to continue... :(
Friday, October 28, 2016 by Matilda

calculus
need help in below question. Thanks. A man runs round a circular track at a constant speed. Would like to know how to drawn locus of the points representing the magnitude ‘d’ of the displacement of the man from the starting position against time ‘t’ , ...
Thursday, October 27, 2016 by peterlaw

ab calculus
Air is being blown into a spherical balloon at the rate of 75 cm3/s. Determine the rate at which the radius of the balloon is increasing when the radius is 28 cm.
Wednesday, October 26, 2016 by ron

calculus
A car is traveling west at 67 mi./hr and a truck is traveling south at 59 mi./hr. Both are headed for the intersection of the two roads. At what rate are the car and truck approaching each other when the car is 0.2 mi. and the truck is 0.5 mi. from the intersection?
Wednesday, October 26, 2016 by josh

Differential calculus
Differentiate the following y=root(e^x)/x
Wednesday, October 26, 2016 by Mohammed

Differential calculus with analytic geometry
use implicit differentiation to find dy/dx. xy^2+4y^3=x-2y
Wednesday, October 26, 2016 by Mohammed

Calculus
Find the equation of the tangent line to the curve 2x^2y-3y^2=-11 at the point (2,-1).
Wednesday, October 26, 2016 by Audrey

College Calculus
If a ball is thrown vertically upward from the roof of 48 foot building with a velocity of 96 ft/sec, its height after t seconds is s(t)=48+96t−16t^2. What is the maximum height the ball reaches? What is the velocity of the ball when it hits the ground (height 0)?
Wednesday, October 26, 2016 by Jaken

Calculus
A particle moves according to the equation of motion s(t)=t^2-2t+3 where s(t) is measured in feet and t is measured in seconds. Find the total distance traveled in the 3 seconds.
Wednesday, October 26, 2016 by Audrey

Calculus
Starting at t=0, a particle moves along the x-axis so that its position at time t is given by x(t)=t^4-5t^2+2t. What are all values of t for which the particle is moving to the left? (A)0<t<0.913 (B)0.203<t<1.470 (C)0.414<t<0.913 (D)0.414<t<2.000 (E)...
Wednesday, October 26, 2016 by Mike

Calculus
Find the slope of x^2-16xy+y^2=1 at (1,1). Is this -1?
Wednesday, October 26, 2016 by Anonymous

Calculus (AC)
Steve, you've been an amazing help. Thank you so much. This is the last question I need checked. Solve ∜82 using differentials. I got 3.00926
Wednesday, October 26, 2016 by Sarah

Calculus (answer check)
The measurement of the radius of a circle is 16 inches, with a possible error of .25 inches. (Use differentials to approximate the possible propagated error and the percent error. Propagated error= 1.6% Percent error= 4.6%
Wednesday, October 26, 2016 by Sarah

Calculus
The measurement of the radius of a circle is 16 inches, with a possible error of .25 inches. Use differentials to approximate the possible propagated error in computing the area of the circle and find the percent error. I've gotten to 2Pi*16*.25 but don't know what to ...
Tuesday, October 25, 2016 by Sam

Calculus
The function f is given by f(x)=3x^2+1. What is the average value of f over the closed interval [1,3]? The answer I get is 12, but the book says it's 14. I don't understand why.
Monday, October 24, 2016 by Mike

math calculus
A poster is to contain 300 (cm square) of printed matter with margins 10cm at the top and bottom and 5cm at each side. Find the overall dimensions if the total area of the poster is minimum.
Sunday, October 23, 2016 by Aquino,Vanessa Mae

Calculus
Ship A is moving east at 20 miles per hour, while ship B is moving north at 15 miles per hour. At noon ship A was 5 miles east of an island, and ship B was 75 miles south of the island. At what rate is the distance of the ships changing at 1 pm?
Sunday, October 23, 2016 by Allie

Math (Calculus)
Determine if each of the following functions is in Big-O, is Big-Omega and is Big-Theta of x: (Could be multiple) a) f(x)=10 b) f(x)=3x+7 C) f(x)=x^2+x+1 d) f(x)=5log(x) e) f(x)=|x| f) f(x)=x/2 I'm in calc 1 and I have no idea what's it even asking me. Help? Thanks in ...
Saturday, October 22, 2016 by Ray

Calculus
An error in the measurement of the radius of a circle results in an error in the computation of its area. Find and interpret the sensitivity of area (a) of a circle to the measurement of radius, r, when the radius r=2 meters.
Saturday, October 22, 2016 by jan

Calculus
Can you please help me find the x and y intercepts of this equation. How do I solve this? y= x^2 √9-x^2
Saturday, October 22, 2016 by Stephanie

CALCULUS
if F(x) = f(xf(xf(x))),where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5,and f '(6) = 6,find F '(1).
Saturday, October 22, 2016 by Gagan

calculus
Union membership as a percentage of the labor force can be modeled by M(x) = 0.0003x3 − 0.066x2 + 4.64x − 81, where x is the number of years after 1900,and M is membership as a percentage of the labor force. a. Find the rate at which membership is changing in 1960...
Friday, October 21, 2016 by lis

Math (Calculus)
Determine if each of the following functions is in Big-O, is Big-Omega and is Big-Theta of x: (Could be multiple) a) f(x)=10 b) f(x)=3x+7 C) f(x)=x^2+x+1 d) f(x)=5log(x) e) f(x)=|x| f) f(x)=x/2 I'm in calc 1 and I have no idea what's it even asking me. Help? Thanks in ...
Friday, October 21, 2016 by Ray

Calculus 2
A spring has a natural length of 25 meters. A force of 12 newtons is required to stretch the spring to a length of 30 meters. How much work is done to stretch the spring from it's natural length to 40 meters? -I forgot to add the 40 meters part to my other question here is...
Friday, October 21, 2016 by chase

calculus 2
A spring has a natural length of 25 meters. A force of 12 newtons is required to stretch the spring to a length of 30 meters. How much work is done to stretch the spring from it's natural length?
Friday, October 21, 2016 by chase

Calculus
Let f be a function with second derivative given by f''(x)=sin(2x)-cos(4x). How many points of inflection does the graph of f have on the interval [0,10]? (A)Six (B)Seven (C)Eight (D)Ten (E)Thirteen
Friday, October 21, 2016 by Mike

Calculus
differentiate the given function, simplify your answer by leaving no negative or rational exponents. final answer should be in factored form where possible. y=(x^2 +2x)^3(x+2)
Thursday, October 20, 2016 by matt

Calculus
A nut store sells 200 bags of almonds per month at a price of $5 per bag. For every $0.20 decrease in the price, the store sells five more bags per month. Determine the marginal revenue when 120 bags are sold.
Thursday, October 20, 2016 by Matt

Calculus
f(x, y) = 3ycos x, 0 ≤ x ≤ 2π Finding the locla minima, maxima, and saddle points. Having difficulty as so far I have: Fx = -3ysinx Fy = 3cosx Fxx = -3ycosx Fyy = 0 Fxy = -3sinx I have set both Fx and Fy equal to 0 but am not too sure about the critical points...
Wednesday, October 19, 2016 by OscarEE

Calculus
A nut store sells 200 bags of almonds per month at a price of $5 per bag. For every $0.20 decrease in the price, the store sells five more bags per month. Determine the marginal revenue when 120 bags are sold.
Wednesday, October 19, 2016 by matt

Calculus
The demand function for a bottle of hand lotion is p(x)=0.78+0.0003x, where x is the number of bottles sold and p is the price, in dollars. The cost function is c(x)=480-0.32x+0.0005x^2. Find the marginal profit when 700 bottles of hand lotion are sold.
Wednesday, October 19, 2016 by matt

Calculus
Determine the coordinates of the point on the graph of f(x)=3x^2-7x+4 where the tangent line is parallel to the line 5x+y=3
Wednesday, October 19, 2016 by matt

Calculus
find the point, (c,f(c)), on f(x)=x^2 in the interval 0≤X≤4, such that f'(c) equals the average rate of change over that interval.
Wednesday, October 19, 2016 by matt

Calculus
Determine the equation of the tangent to f(x)= (1/x)+x at the point (1,2)
Wednesday, October 19, 2016 by matt

calculus
lim f(x)=? x->3- f(x); -3.7, -3.97, -3.997, -3.9997, ?
Wednesday, October 19, 2016 by lis

calculus
Locate the discontinuities of the function y=(5)/(3+e^(1/x))
Wednesday, October 19, 2016 by marisa mecham

Calculus
The function f is continuous on the open interval (-π, π). If f(x)=cos(x)-1/xsin(x) for x≠0, what is the value of f(0)?
Wednesday, October 19, 2016 by Mike

Calculus
A water trough is 5 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 70 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.2 m3/min how fast is the water level rising when ...
Tuesday, October 18, 2016 by Audrey

Calculus integrals
(e^(3x)-2e^(2x)+(5e^x))/(e^x+1) how do I do this what is the techniques??
Tuesday, October 18, 2016 by byu

Calculus
A right circular cone has a volume of cubic inches. What shape should it be in order to have the smallest lateral surface area? Find the result of the volume is V cubic inches.
Tuesday, October 18, 2016 by Ms_Da

Calculus
A right circular cone has a volume of 100 cubic inches. What shape should it be in order to have the smallest lateral surface area? Find the results of the volume is V cubic inches.
Tuesday, October 18, 2016 by Ms_Da

Calculus
Let f be a differentiable function defined on the closed interval [a,b] and let c be a point in the open interval (a,b) such that I.f'(c)=0 II.f'(x)>0 when a≤x<c III.f'(x)<0 when c<x<≤b Which of the following statements must be true? (A)f...
Monday, October 17, 2016 by Mike

Calculus
If the functions f and g are defined for all real numbers and f is an antiderative of g, which of the following statements is NOT necessarily true? (A)If g(x)>0 for all x, then f is increasing (B)If g(a)=0, then f(x) has a horizontal tangent at x=a (C)If f(x)=0 for all x, ...
Monday, October 17, 2016 by Mike

calculus
A running circuit is to be constructed in the shape of a rectangle with two semicircles attached at the east and west ends of the path (see figure). A picnic area will be set in the center of the circuit. If we want the total length of the circuit to be 2000 m (2km ), what ...
Monday, October 17, 2016 by Jo

calculus
A printed page is to have 1 in. margin on all sides. The page should contain 80 sq. in. of type. What dimensions of the page will minimize the area of the page while still meeting the other requirements?
Monday, October 17, 2016 by Jo

Calculus
Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -5, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: -27 b. Derivative of (f(x))/(g(x)) My answer: 1/12 c. Derivative of...
Sunday, October 16, 2016 by Anonymous

calculus
5.In a certain state the maximum speed permitted on freeways is 65 km/h and the minimum speed is 40 km/h. The fine for violating these limits is Rs.15 for every kilometer per hour above the maximum speed or below the minimum speed. Express the amount of the fine as a function ...
Sunday, October 16, 2016 by Anonymous

calculus
For each of the following limits, determine the indicated limit if it exists. lim f(x)=? x approaches 4 from the left f(x)= -3.9997
Sunday, October 16, 2016 by tor

Calculus
Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -4, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: -27 b. Derivative of (f(x))/(g(x)) My answer: 1/12 c. Derivative of...
Saturday, October 15, 2016 by Anonymous

Calculus
A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $11 the average attendence has been 27000. When the price dropped to $10, the average attendence rose to 34000. Assume that attendence is linearly related to ticket price. What ticket ...
Saturday, October 15, 2016 by Mia

Calculus
I need help determining whether the following functions are even, odd, or neither. Please help me. 1. f(x)=4x+5 2. f(x)=x^3-x-2 3. f(x)=x^4-x / x^5-x 4. f(x)= x^3-x / x^5
Saturday, October 15, 2016 by Stephanie

Calculus
Lim (√(3-x) - √(3+x)) /x x->0
Saturday, October 15, 2016 by matt

Calculus
Lim √(3-x) - √(3+x) x->0 x
Saturday, October 15, 2016 by matt

Integrals calculus
7/x^2-8 does it give you 7ln(x^2-8)
Saturday, October 15, 2016 by Nuhsj

calculus
(Compute all instantaneous rate of change using the limit of the difference quotient) 2) A football's path is represented by the function h(t)=-4.9t^2 +10t+2, where h is its height, in meters, after t seconds. Find the rate of change of the football's height at 1s.
Saturday, October 15, 2016 by matt

Calculus
Determine the average rate of change of f(x)=1/(x^2 -x) over the interval 2 is less then or equal to x and 3 is greater or equal to x.
Saturday, October 15, 2016 by matt

Pre-calculus
Evaluate sin16° cos29° + cos16° sin29°
Saturday, October 15, 2016 by Liv

Pre-calculus
Evaluate sin 7pi/12. Using sum, difference, and cofunction identities
Saturday, October 15, 2016 by Liv

Pre-calculus
Find the acute angle between the lines 2x-3y-6=0 and x+5y-20=0
Saturday, October 15, 2016 by Liv

Pre-calculus
Derive an identity that transforms sin(α+β+γ) into a sum of products of sines and/or cosines of the individual numbers α, β, γ.
Saturday, October 15, 2016 by Liv

Pre-calculus
If sin x=-3/5 and sec x>0, find all the other circular function values of x
Saturday, October 15, 2016 by Liv

Calculus
The percentage of research articles in a prominent journal written by researchers in the United States can be modeled by A(t) = 25 + (36/1 + 0.6(0.7)^−t'), where t is time in years (t = 0 represents 1983). Numerically estimate lim as t→+infinity A(t).
Thursday, October 13, 2016 by Kahi

calculus
A spherical balloon is being inflated so at the rate of 8cm3/sec. determine the rate at which the radius of the balloon is changing when the radius is 10
Wednesday, October 12, 2016 by ec

Calculus
A ball is thrown vertically into the air so that its height s after t seconds is given by the equation, s=-1/27(t^2)+4√t. Find its maximum height.
Tuesday, October 11, 2016 by Glen

Calculus
Find the volume of the solid under the plane 3x + 3y − z = 0 and above the region bounded by y = x and y = x^4
Tuesday, October 11, 2016 by Anon

Calculus
Find the volume of the given solid. Under the surface z = 7xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)
Tuesday, October 11, 2016 by Anon

Differential Calculus
A conical tank with height is 10 and radius is 5 is being filled with water at 4m^3/s. Solve how fast is the water when = 3m
Tuesday, October 11, 2016 by Jervis

Pre-Calculus
A hemispherical bowl with a 30-centimeter radius contains some water, which is 12 centimeters deep. Find the volume of the water.
Monday, October 10, 2016 by Danny

Calculus I
y = x^3 - 8x^2 + 6x -2 has a slope of 6 at two points, what are the coordinates? I did the power rule to derive the equation: y'= 3x^2 - 8x + 6 , and then I tried to factor it to find the x intercepts but it doesn't work. But anyway, my point of confusion is where does...
Monday, October 10, 2016 by Angie

Calculus
I want to know how to find the local linearization. So in this problem I'm doing, I'm given the f(x) equation and it says "about x = 0" I'm suppose to approximate value of f(0.3) Are there specific steps I need to take to go about this problem?
Monday, October 10, 2016 by Joseph

calculus
Find the slope of the tangent line to the curve (sqrt(4x+y))+(sqrt(3xy)) at the point (3,4) The slope of the tangent line to the curve at the given point is ? I got -((1/2)+4sqrt(36))/((1/8)+3sqrt(36))
Monday, October 10, 2016 by brie78

Calculus
If x=2cos (z) and y= sin (z), then d^2y/dx^2=? What I got -sin (z) / -8cos (z)*sin (z) simplifies to 1/8cos (z) I don't think I'm right...
Monday, October 10, 2016 by Liam

calculus
Use implicit differentiation to find the derivative of the family of curves sin(xy)+x5+y5=c. dy/dx=? I got (-5x^4-ycos(xy))/(xcos(xy)+5y^4)). what am I doing wrong? Help please
Monday, October 10, 2016 by ang123

Calculus
an experimental farm has 3600 ft. of fencing to create a rectangular area that will be subdivided into 4 equal subregions, what is the largest total area that can be enclosed?
Monday, October 10, 2016 by Joanna

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Homework Help: Math