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March 31, 2015

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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Calculus
Find critical points for y'=2/3x^3-4x
Monday, December 8, 2014 at 7:01pm

Calculus
A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 5xyj + 4y2k. I have tried multiple times to solve this problem but the answer is still not right.
Monday, December 8, 2014 at 6:57pm

Calculus
So this one is confusing me: limit of n as it approaches infinity of (n{SIGMA}i=1) (1/(2^i) *the n is on top of the sigma notation and i=1 is at the bottom. I understand that 'i' would equal (n(n+1))/2 however the algebra from there confuses me.
Monday, December 8, 2014 at 5:54pm

calculus
A rectangular fence has to be built from both wood and metal so that opposite parallel sides of the fence are made from the same type of material. The wood costs $10 per foot and the metal costs $20 per foot of the fence used. If you only have $400 to spend on material, what ...
Monday, December 8, 2014 at 4:34pm

Calculus
I am trying to solve the following L'hopital's limits question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)
Monday, December 8, 2014 at 10:14am

calculus
Previously asked: the length of a rectangular prism is increasing at a rate of 8 cm/s, its width is increasing at a rate of 3 cm/s, and its height is increasing at a rate of 5 cm/s. when the length is 20 cm, width is 10 cm, and height is 15 cm, how fast is the volume of the ...
Sunday, December 7, 2014 at 10:54pm

calculus
First, the bond pays 96 + 7 t per year for 10 years. Second, the interest rate is 5.25% compounded continuously. Round your answer to the nearest cent. Find the present value?
Sunday, December 7, 2014 at 10:11pm

Calculus
Find the area of the region bounded by the curves y=12-x^2 and y=x^2-6. Hint:The answer should be a whole number.
Sunday, December 7, 2014 at 9:12pm

Calculus
L'hopital's question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)
Sunday, December 7, 2014 at 5:24pm

Math - Calculus
If 75100 dollars is deposited in an account for 13 years at 5.35 percent compounded continuously , find the average value of the account during the 13 years period. The average value in the account is ? ** im alittle confused in how to find the average value please help and ...
Sunday, December 7, 2014 at 2:20pm

Calculus
Find the average value of the function f(x) 8x^2-9x+8 on the interval [3,5]. Find the value of the x-coordinate at which the function assumes it's average value The average value is ? the x-coordinate is ? Please help and showing work is much appreciated. Thank you
Sunday, December 7, 2014 at 2:18pm

Calculus
Lines tangent to the curve y-1=2x^2+3x pass through the point A(2,-1). Find the x-coordinate(s) of the point(s) of tangency. The answer is 2+2^1/2, 2-2^1/2, I just don't know how to get there. Please help! Thank you!
Sunday, December 7, 2014 at 12:09pm

Pre calculus
at an archaeological site remains of plant material will found to have 28.9% of the amount of carbon-14 in a living sample. What was the approximate age of the plant material?
Saturday, December 6, 2014 at 10:40pm

calculus
the length of a rectangular prism is increasing at a rate of 8 cm/s, its width is increasing at a rate of 3 cm/s, and its height is increasing at a rate of 5 cm/s. when the length is 20 cm, width is 10 cm, and height is 15 cm, how fast is the volume of the rectangular prism ...
Saturday, December 6, 2014 at 8:45pm

calculus
definite integral of (e^(8x))cosh(8x)dx from 0 to 1/16 -I substitued the definition of cosh in, i.e. (e^(8x) + e^(-8x)/2 but i cant get the "e's" to combine and i know the answer is e/32
Saturday, December 6, 2014 at 4:23pm

Pre Calculus
You have been hired by the Humane Society to construct six 2 by 3 animal cages using 1400 feet of chain fence. Express the length and width using function notation. Include a graph with the area function with explanation of significance. Find the dimensions that maximize the ...
Friday, December 5, 2014 at 11:47pm

Calculus
Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
Friday, December 5, 2014 at 11:03pm

Calculus
On what intervals is the function f(x)=e^e^2 increasing? Concave upward?
Friday, December 5, 2014 at 9:31pm

calculus Please Help
The cost for a toy company to produce x Cosmic Starships is C(x) = 1400 + 6x − 0.01x2. What ​​is the marginal average cost function? Can someone please explain how to do this to I...
Friday, December 5, 2014 at 8:40pm

Calculus
Differentiate. cos^-1 2x
Friday, December 5, 2014 at 7:59pm

Calculus
Differentiate. cos^3x My answer: -3cos^2x sin^2x
Friday, December 5, 2014 at 7:44pm

Calculus
Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
Friday, December 5, 2014 at 7:36pm

Calculus
If f(x)=the sqrt of 3x,find f'(3). Isn't it 3/2•sqrt of 3?
Friday, December 5, 2014 at 7:27pm

Calculus Please Help
Can you please explain these two questions to me? Suppose the population size of a predator is given by P (x) = 0.006x2 + 0.005x, where x represents the population of its prey. If the population of the prey is 10,000 at the first of January and is reduced to 6,000 by May 1 of ...
Friday, December 5, 2014 at 12:41pm

Calculus
How do I find the area of the region bounded by the graphs of the given equations? y=x+20; y=x^2
Friday, December 5, 2014 at 2:51am

Calculus question please explain
I know the answer to the first one is "e" and the answer to the second one is "a "but I have no idea why please explain how to do these two problems. I am very confused with this method. Thank you! The “Cobb-Douglas” productivity function for a ...
Friday, December 5, 2014 at 1:36am

calculus
If sec x = -3, 0 < x < pi, find cot x.
Thursday, December 4, 2014 at 10:19pm

pre-calculus
6cos^2(x)-5cos(x)-6
Thursday, December 4, 2014 at 7:36pm

Calculus
can you show me the steps to evaluate this indefinite integral. s(e/x^4+pie^2/square root of x
Thursday, December 4, 2014 at 6:36pm

Calculus
The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x)=x(60x^2+30x), where x is the amount of cheese sold in hundreds of pounds. The "profit" is -$50 when cheese is sold. a. Find the profit function. P(x)= b. Find the profit from ...
Thursday, December 4, 2014 at 6:01pm

Calculus
a particle moves along the x-axis at a velocity of v(t)=1 sqrt(t), t>0. at time t=1 , its position is x=4. find the acceleration and position functions for the particle
Thursday, December 4, 2014 at 1:37am

Calculus
A sherman is in a rowboat on a lake and 3 km from shore. He wishes to reach a store 2 km down the (straight) shore. He can row at 5 km/h and run at 13 km/h. To what point down-shore should he row to get to the store as quickly as possible? 8. The cross-section of a tunnel
Wednesday, December 3, 2014 at 9:14pm

Calculus
With the following coordinates (16,46) (18,64) (20,60) create three formulas using Y+Ax^2+Bx+C then solve for A,B, and C to form the final equation.
Wednesday, December 3, 2014 at 4:19pm

CALCULUS - PLEASE HELP!
It is known that homing pigeons tend to avoid flying over the water in the daytime, perhaps because the downdrafts of air over water make flying difficult. Suppose a homing pigeon is released on an island at point C , which is 3 km directly out in the water from a point B ...
Tuesday, December 2, 2014 at 9:22pm

calculus 2
Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π. Order your answers from smallest to largest θ. If an intersection occurs at the pole, enter POLE in the first answer blank.) r = 1 − cos θ, r = 1 + sin θ
Tuesday, December 2, 2014 at 8:32pm

Calculus
Differentiate. e^cos(x^2+1) Is the answer -2xe^cos(x^2+1) sin(x^2+1)?
Monday, December 1, 2014 at 10:10pm

calculus
Let f'(x)=4x^3-12x^2. (a) find three different functions with derivative equal to f'(x). how are the graphs of the three functions related? the only one that i can figure out is: f(x)=x^4+4x^3+y where y can equal any constant. any help on figuring out the other two ...
Monday, December 1, 2014 at 10:01pm

calculus
When a ball is thrown vertically upward into the air with a velocity of 79 ft/sec its height, y(t), in feet after t seconds is given by y(t) = 79t − 16t 2 . Find the average velocity of the ball over the interval from 3 to 3 + h seconds, h 6=/= 0. 1. average vel. = &#...
Monday, December 1, 2014 at 9:21pm

calculus
I needed help with these FRQ in my APCalc course. Any help or walkthrough would be extremely helpful - thanks in advance. Let f be the function given by f(x)=3ln((x^2)+2)-2x with the domain [-2,4]. (a) Find the coordinate of each relative maximum point and each relative ...
Monday, December 1, 2014 at 9:15pm

General Calculus Question
On a graph what ways can it not be differentiable? I know at cusps it's not differentiable but are there other instances where it is not differentiable?
Monday, December 1, 2014 at 9:14pm

Calculus
Water is being poured into a spherical bowl of radius 4cm at a rate of 2cm3/s. How fast is the water level rising when it is at 2cm?
Monday, December 1, 2014 at 7:24pm

calculus, help!
Evaluate the definite integral: int_{1}^{e^9} \frac{dx}{x \sqrt{\ln x}} = i gt my answer as 1^(e^9) but it's saying it's wrong
Monday, December 1, 2014 at 3:42pm

Calculus
consider the function f(x) = (x if x<1 (1/x if x>or equal to 1 Evaluate the definite integral: int_{-2}^{3} f(x)\,dx =
Monday, December 1, 2014 at 2:27pm

Calculus
Which of the following functions does not have a derivative of zero? A. y=-1/100 B. y=4(pi)^2-9 C. y=sin^2x+cos^2x D. y=cscxtanxcosx E. All do
Monday, December 1, 2014 at 11:12am

Calculus
Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints.
Monday, December 1, 2014 at 10:50am

Calculus...help
The projected public spending by the British government for the years 2010-2011 (t = 0) through 2014-2015 (t = 4) is 692 billion pounds/year. The projected public revenue for the same period is f(t) = 292.6t + 134.4 / t + 6.9 + 500 billion pounds (0 ge t ge 4). Find the ...
Monday, December 1, 2014 at 12:02am

calculus
The number of U.S. citizens 65 and older from 1990 through 2050 is estimated to be growing at the rate of, R(t)=0.063t^2 -0.48t+3.87, (0 less than or = t less than or = 15) million people/decade, where t is measured in decades and t = 0 corresponds to 1900. Show that the ...
Sunday, November 30, 2014 at 11:50pm

Differential equations in Calculus...plsssss help?
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ...
Sunday, November 30, 2014 at 11:42pm

Calculus
Find the limit as x approaches 1 5/(x-1)^2 I don't understand how to solve it because there would be a 0 on the denominator.
Sunday, November 30, 2014 at 11:09pm

Calculus
Find dy/dx if x^2+y^2=2xy A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these
Sunday, November 30, 2014 at 10:43pm

Calculus with Diffrential Equations: Pleease help?
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ...
Sunday, November 30, 2014 at 8:45pm

Calculus
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ...
Sunday, November 30, 2014 at 8:30pm

Help with differential eqs problem???? (Calculus)
Consider the differential equation dy/dt=y-t a) Determine whether the following functions are solutions to the given differential equation. y(t) = t + 1 + 2e^t y(t) = t + 1 y(t) = t + 2 b) When you weigh bananas in a scale at the grocery store, the height h of the bananas is ...
Sunday, November 30, 2014 at 7:49pm

Calculus
The slope of the line tangent to the curve xy+(y+1)^2=6 at the point (2, 1) is
Sunday, November 30, 2014 at 7:47pm

AP Calculus
For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x-2)/(3x-5) B. 2x/sqrt(x-2) C. (2x^2-6x+1)/(1+x^2) D. (2x-1)/(x^2+1) E. None of these
Sunday, November 30, 2014 at 7:30pm

Calculus
Find limit as x approaches 5 (x^2-3x-10)/(x-5)
Sunday, November 30, 2014 at 6:03pm

AP Calculus
Find the derivative for f(x)=-x^2+x Do I put -x^2 on the denominator? How would I solve it if that's the case?
Sunday, November 30, 2014 at 5:58pm

Calculus
Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these
Sunday, November 30, 2014 at 5:55pm

AP Calculus
Find f'(x): f(x)=(x^2-3x)/x^2 A. 2x-3/x^2 B. 2x-3/2x C. 1-(3/x) D. 3/x^2 E. None of these I get confused on the simplifying part.
Sunday, November 30, 2014 at 5:53pm

AB Calculus
I figured out that part "A" is -3/8, but i can't figure out part 2, a or b. please explain and help. thanks. Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic inches per minute. a) how is ...
Sunday, November 30, 2014 at 5:24pm

AP Calculus
Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity E. None of these
Sunday, November 30, 2014 at 2:59pm

Calculus
Find the derivative: f(x)=1/cubed root(3-x^3) A. -1/3(3-x^3)^4/3 B. x^2/(3-x^3)^4/3 C. -x^2/(3-x^3)^2/3 D. -x^2/(3-x^3)^4/3 E. None of these
Sunday, November 30, 2014 at 1:50pm

Calculus
If f(x)=x^2+1 and g(x)=2x-1, find d/dx[f'(g(x))] at x=1 A. 2 B. 6 C. 4 D. 0 E. None of these
Sunday, November 30, 2014 at 12:30pm

AP Calculus
Find all points on the graph of f(x)=-x^3+3x^2-2 where there is a horizontal tangent line.
Sunday, November 30, 2014 at 12:23pm

Calculus
Find the limit as x approaches 0 [(sqrt(x+9))-3]/x A. 0 B. 1 C. Infinity D. 1/3 E. None of these
Sunday, November 30, 2014 at 12:15pm

Calculus,Reaction rates
A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at 10 ft/s. If the bridge is 10 ft above the boat, how fast are the man and the boat separating 1 second later?
Sunday, November 30, 2014 at 11:58am

AP Calculus
Let f(7)=0, f'(7)=14, g(7)=1, g'(7)=1/7. Find h'(7) if h(x)=f(x)/g(x)
Sunday, November 30, 2014 at 11:58am

Calculus
Find the derivative of x^2f(x) A. x[xf'(x)+2f(x)] B. 2xf'(x) C. x[xf'(x) +2f'(x)] D. x^2f'(x) E. None of these
Sunday, November 30, 2014 at 11:53am

Calculus,reaction rates
A car starting at 12:00 noon travels west at a speed of 30 kph. Another car starting from the same point at 2:00 PM travels north at 45 kph. Find how fast the two are separating at 4:00 PM?
Sunday, November 30, 2014 at 11:52am

Calculus
Find an equation of the tangent line to the graph of x^2+3y^2=4 at the point (1,1) A. y+1=-1/3(x+1) B. y-1=-x/3y(x-1) C. x+3y=2 D. y-1=-1/3(x-1) E. None of these
Sunday, November 30, 2014 at 11:42am

Calculus
Find the equation of the line that passes through (1,3) and is perpendicular to the line 2x+3y+5=0 A. 3x-2y+3=0 B. 2x+3y-11=0 C. 2x+3y-9=0 D. 3x-2y-7=0 E. None of these I got E?
Sunday, November 30, 2014 at 11:30am

Calculus (Cross Section) again
A half of a pepperoni stick is 10 cm long. Assume that a cross section perpendicular to the axis of the pepperoni at a distance x from the end if a circle of radius rad(3x). What is the volume of the pepperoni
Sunday, November 30, 2014 at 10:51am

Calculus (cross section)
A solid has a base bounded by x^2_y^2=36. Find the volume of the solid if every plane section perpendicular to the diameter is an isosceles triangle whose base is on the circle and whose height is 4 units
Sunday, November 30, 2014 at 10:44am

Calculus
If f(1)=4 and f'(1)=2, find an equation of the tangent line at x=1 A. y=2x+2 B. y=2x-2 C. y=4x-7 D. y=4x-2 E. None of these
Sunday, November 30, 2014 at 4:49am

Calculus
Find f'(x) if f(x)=sin^3(4x) A. 4cos^3(4x) B. 3sin^2(4x)cos(4x) C. cos^3(4x) D. 12sin^2(4x)cos(4x) E. None of these I got D using the chain rule?
Sunday, November 30, 2014 at 4:46am

Calculus
Which of the following describes the graph of y=|2x+6|? A. Only continuous B. Only differentiable C. Both A and B D. Not continuous, not differentiable E. Constant
Sunday, November 30, 2014 at 2:45am

Calculus
Find d^2y/dx^2 for y=(x+3)/(x-1) A. 0 B. y=-8/(x-1)3 C. y=-4/(x-1)^3 D. y=8/(x-1)^3 E. None of these I got a positive number but am not sure about the denominator in the second derivative.
Sunday, November 30, 2014 at 2:32am

Calculus
Find dy/dx for y=sin(x+y) A. 0 B. (cos(x+y))/(1-cos(x+y) C. cos(x+y) D. 1 E. None of these I know I'm supposed to use implicit differentiation but I'm not sure how to go about it with sin
Sunday, November 30, 2014 at 2:08am

Calculus
Find an equation of the tangent line to the graph of f(x)=xsinx when x=0. A. y=0 B. f'(x)=0 C. y=xcosx+sinx D. y=x E. None of these
Sunday, November 30, 2014 at 1:50am

AP calculus
Find values for x and/or y on the graph of x^2-2y^2+9x+8y-276=0 for which there is a vertical tangent line
Sunday, November 30, 2014 at 1:47am

Calculus
For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x-2)/(3x-5) B. 2x/sqrt(x-2) C. (2x^2-6x+1)/(1+x^2) D. (2x-1)/(x^2+1) E. None of these
Sunday, November 30, 2014 at 1:41am

Calculus
Find limit as x approaches 5 (x^2-3x-10)/(x-5) A. 2 B. DNE C. 0 D. 7 E. None of these
Sunday, November 30, 2014 at 1:33am

Calculus
If f(x) = {x^2+3x-1, x<=2 and -3bx+3, x<2 , find the value of b in order for f to be continuous
Sunday, November 30, 2014 at 1:24am

Calculus
If f(x) = {x^2+3x-1, x<=2 and -3bx+3, x<2 , find the value of b in order for f to be continuous
Sunday, November 30, 2014 at 1:24am

Calculus
If f(x)=sin(2x), find f"(x) A. 2cos(2x) B. -4sin(2x) C. -2sin(2x) D. -4sinx E. None of these Is it B from using chain rules?
Sunday, November 30, 2014 at 1:21am

Calculus
Find the derivative for f(x)=-x^2+x Do I put the -x^2 as a denominator? How would I solve it if that's what I'm supposed to do?
Sunday, November 30, 2014 at 1:16am

Calculus
Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these
Sunday, November 30, 2014 at 1:11am

Calculus
Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity If I use limit as h approaches 0 f(x+h)-f(x)/h , will I get an x in the answer?
Sunday, November 30, 2014 at 12:55am

Calculus
Find dy/dx if x^2+y^2=2xy A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these Do I equal it to 0 and use implicit rule?
Sunday, November 30, 2014 at 12:49am

Calculus
Find f'(x) for f(x)=(2x^2+5)^7 A. 7(4x)^6 B. 7(4x)^7 C. 28x(2x^2+5)^7 D. 7(2x^2+5)^6 E. None of these Would it be none of these because of the 4x in the chain rule?
Sunday, November 30, 2014 at 12:43am

Calculus
Determine the limit as x approaches 1 f(x) if f(x)={3-x, x does not equal 1 and 1, x=1 A. 2 B. 1 C. 3/2 D. DNE E. None of these
Sunday, November 30, 2014 at 12:38am

math calculus
convert these symmetric equations to parametric form: line 1:(x-1)/k = (y-2)/2 = (z+1)/k-1 and line 2: (x+3)/-2 = (z)/1, y=-1
Saturday, November 29, 2014 at 7:49pm

math calculus
For the function: f(x)= 2+x-x^2/ (x-1)^2 ; f'(x)= x-5/(x-1)^3 ; f''(x)=2x-14/(x-1)^4 a)find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity. b)find any local extrema c)find points of inflection
Saturday, November 29, 2014 at 7:45pm

Pre-Calculus
You have been hired by the Humane Society to construct six animal cages using 1400 feet of chain fence. Express the length and width using function notation. Include a graph with the area function with explanation of significance. Find the dimensions that maximize the total ...
Friday, November 28, 2014 at 11:33pm

Calculus I
An open box with square base is to be constructed. The material for the base costs $10 per square foot. The material for the sides costs $1 per square foot. the box must have an area of 100 square feet. Find the dimensions of the box that minimize cost. What I have so far: A...
Friday, November 28, 2014 at 9:41pm

Calculus
What is the smallest possible slope for a tangent to y=x^3 - 3x^2 + 5x? (I'm unsure how to approach this problem, if you know how to solve it, please explain step by step. THANK YOU!!!)
Friday, November 28, 2014 at 7:22pm

Calculus
An aquarium is to be constructed to hold 2160 in3. The base is to made of slate and the sides of glass. If slate costs 5 times as much as the glass per sq in, find the dimensions that will minimize the cost of constructing the aquarium. I started going about this problem by ...
Friday, November 28, 2014 at 11:34am

calculus
Baseball Star Bryan is standing at the top of the Sears Tower in Chicago and decides to throw a baseball up with a velocity of 5 m/s. The Sears Tower is 442 meters tall and gravity exerts a constant acceleration of -9.8 m/s/s. Ignore ball mass and wind resistance. a.) Find ...
Friday, November 28, 2014 at 9:37am

Calculus
solve the differential equation dy / dx = 11x^2y^2 with the condition that y(0) = 4 The solution to the equation is y =
Wednesday, November 26, 2014 at 10:16am

Brief Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) Enclosed by y = e^x, y = 2x + 1, x = −2...
Tuesday, November 25, 2014 at 8:43pm

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