Friday

December 19, 2014

December 19, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**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*

**Calculus**

5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)
*Tuesday, November 25, 2014 at 11:16am*

**Calculus**

2) If f(x)=∫t^2dt not he integral from 4 to x^3 then f′(x)=?
*Tuesday, November 25, 2014 at 11:14am*

**Calculus**

20) Evaluate the definite integral. On the integral from e to e^3 ∫dx/xl(nx)^(1/2)
*Tuesday, November 25, 2014 at 11:13am*

**Calculus**

The sales of Universal Instruments in the first t years of its operation are approximated by the function S(t) = t 0.96t2 + 25 where S(t) is measured in millions of dollars. What were Universal's average yearly sales over its first 5 years of operation?
*Tuesday, November 25, 2014 at 1:05am*

**calculus**

A) Determine the vector equation of the plane that contains the following two lines: l1: vector r= [4,-3,5] + t[2,0,3], tER l2: vector r= [4,-3,5] + s[5,1,-1], sER b)Determine the corresponding Cartesian equation.
*Monday, November 24, 2014 at 10:57pm*

**math calculus**

if i,j,k are the standard unit basic vectors, in 3 space, determine the value of k dot(j-3k)+(i-4k) dot (i-4k)-8 |i cross -k| (Simplify without using components)
*Monday, November 24, 2014 at 6:48pm*

**calculus**

(i know i've asked so many questions. i just want to make sure my answers are right for this homework! hopefully it isn't too annoying for you :) ) Find the derivative of the given function. y=(tan^-1)√(3x) A. (1)/(√(1-3x)) B. (1)/(6√(3x(1+3x))) C. (3...
*Monday, November 24, 2014 at 6:26pm*

**calculus**

Me again. One last question! Again, just needed my answer verified with any explanation or walk-through. The position of a particle moving along a coordinate line is s=√(3+6t) with s in meters and t in seconds. find the particle's acceleration at t=1 second. a. 1 m/...
*Monday, November 24, 2014 at 6:14pm*

**Calculus**

What does y'' mean in calculus? Is there a word for it? Also is there a word for f'(x)? Thanks.
*Monday, November 24, 2014 at 5:46pm*

**calculus**

hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time. y=(x^2)-6x+10 a. at x=3 b. at x=0 c. at x=1 d. at x=-3 my answer was D. thanks again!
*Monday, November 24, 2014 at 4:59pm*

**calculus**

hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time. y=(x^2)-6x+10 a. at x=3 b. at x=0 c. at x=1 d. at x=-3 my answer was D. thanks again!
*Monday, November 24, 2014 at 4:58pm*

**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. Between y = −x and y = −x^3 for x in [−1, 1]
*Monday, November 24, 2014 at 2:31pm*

**Calculus**

11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx
*Monday, November 24, 2014 at 10:14am*

**Calculus**

10) Evaluate the integral by making the given substitution. ∫sec(5x)tan(5x)dx u=5x
*Monday, November 24, 2014 at 10:13am*

**Calculus**

9)Evaluate the indefinite integral. ∫x^8e^(x^9)dx
*Monday, November 24, 2014 at 10:12am*

**Calculus**

6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx
*Monday, November 24, 2014 at 10:11am*

**Calculus**

5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)=?
*Monday, November 24, 2014 at 8:47am*

**Calculus**

4) On the integral from 1 to 2 ∫(4x^2+4)/x^2dx =?
*Monday, November 24, 2014 at 8:46am*

**Calculus**

2) If f(x)=∫t^2dt on the interval from 4 to x^3 then f′(x)=?
*Monday, November 24, 2014 at 8:44am*

**Calculus**

h(t)= -16t^2 + v0t. How fast is the object moving after 5 seconds?
*Sunday, November 23, 2014 at 9:20pm*

**Calculus**

Use Riemann sums and limits to compute the area bounded by f(x) = 10x+9 and the x axis between x=10 to x =5 The area is = to
*Sunday, November 23, 2014 at 1:41pm*

**Calculus**

Find the x-values of all points where the function below has any relative extrema. Find the values(s)of any relative extrema. G(x)=(x-3)^2/x-4. How do I solve this?
*Sunday, November 23, 2014 at 12:27pm*

**Calculus**

Find the volume of the solid obtained by rotating the region bounded by the curves: 2x = -y^2 y^2 = -x + 2 y = 0 for y >= 0 about the x-axis. Not sure how to do this one, could anybody help me identify what this looks like and how to identify the outer/inner radius? Thanks
*Sunday, November 23, 2014 at 3:17am*

**Calculus**

Find the volume of the solid obtained by rotating the region bounded by the curves: y = x^2 and x = y^2 about the line y = 1. I received the answer pi/30, using the outer radius of (1 - x^2) and the inner radius of (1 - x^(1/2)). Is this correct?
*Sunday, November 23, 2014 at 12:45am*

**Calculus**

For f(x)= (x+3)^2/(4x-5) find all x such that f(x) increases.
*Saturday, November 22, 2014 at 7:28pm*

**Calculus**

Of the infinitely many lines that are tangent to the curve y = −7 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
*Thursday, November 20, 2014 at 9:05pm*

**Pre Calculus**

The logistic growth function P(t)= 160/ 1 + 9e^-0.165t describes the population of the endangered species of elk "t" years after they were introduced into the habitat. a. How many elk were initially introduced into the habitat? b. How many elk are expected after 6 ...
*Thursday, November 20, 2014 at 3:43pm*

**Pre Calculus**

If a 25 mg sample of radioactive material decays to 18.4 mg in 5 years, how long will it take the sample to decay to 20.5 mg?
*Thursday, November 20, 2014 at 3:42pm*

**Pre Calculus**

You invest $4500 into an account that earns 6.5% interest compounded monthly. How long will it take for the account to double in its value?
*Thursday, November 20, 2014 at 3:41pm*

**Pre Calculus**

The population of a city is 127,000 and is decreasing by 2.4% each year. a. What will the population be in 10 years? b. Find when the population will be 95,000
*Thursday, November 20, 2014 at 3:40pm*

**Pre-Calculus**

Suppose person A collaborated with person B, who has collaborated with person C, who has collaborated with Paul Erdös. Suppose also that person B never collaborated with Paul Erdös and person A never collaborated with anyone with an Erdös number of 1 or less. ...
*Thursday, November 20, 2014 at 2:12pm*

**Calculus Please check**

Please check my answers and let me know if I did something wrong. Thank you! Find the partial derivative of x, and the partial derivative of y, then the partial derivative of x (1,-1), and the partal derivative of y (1,-1). f(x,y) = x^4 y^2 -x here is what I got @f/@x = 3x^3 y...
*Thursday, November 20, 2014 at 9:30am*

**calculus**

Consider a 10in by 14in rectangle to which you make square cuts of side length "x" in each corner, then fold the sides and form a box of height "x". What should "x" be to maximize the volume of the box?
*Wednesday, November 19, 2014 at 9:34pm*

**Calculus (PLEASE HELP ASAP!)**

Find f(x) satisfying the given conditions: 1) f"(x) = 1/x^3 f'(1) = 1/2 f(1) = 0 2) f"'(x) = sin (x) f"(0) = 0 f'(0) = 1 f(0) = 0
*Wednesday, November 19, 2014 at 7:43am*

**Calculus**

Find the derivative of y=xe^-x^2. Is the x being multiplied by (e^-x^2)? Product rule? I don't understand how to approach this problem.
*Tuesday, November 18, 2014 at 8:27pm*

**Integral Calculus**

integral r(r^2 - 1) / (r^2+1) integral (e^t-e^-t)^2 integral (1-2x)^2 / x
*Tuesday, November 18, 2014 at 6:31pm*

**Calculus**

The Fellowship of the Ring was broken when Boromir momentarily betrayed Frodo Baggins. By the time Aragorn tried to find Frodo, he and Sam were already 1 km to the east crossing the lake. Since Frodo’s destiny was out of his hands, Aragorn took the remaining members to ...
*Tuesday, November 18, 2014 at 1:07am*

**calculus**

Find two positive numbers that satisfy the given requirements: The product is 147 and the sum of the first number plus three times the second number is minimum
*Monday, November 17, 2014 at 6:00pm*

**Pre-Calculus**

The solution of the system of three inequalities is given by a polygonal convex set. 8x + 2y ≥ 36 -3x + 6y ≤ 27 -7x + 5y ≥ -18 The function f(x,y) = 9x + 5y passes through this set. What values of (x,y) give f(x,y) its maximum value? A)(-3, 2) B)(-3, 6) C)(9...
*Monday, November 17, 2014 at 1:47pm*

**Calculus**

You are driving at 20 m/s when you notice a tree blocking the road, 30 meters ahead of you. It takes you half a second to react before slamming on the brakes. Your car decelerates at a constant 10 m/s2. How far does your car travel before stopping? Will you hit the tree?
*Monday, November 17, 2014 at 12:11pm*

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