Wednesday

June 29, 2016
**Calculus**

If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? ~the integral from a to b of the difference of f of x and g of x, dx equals the integral from a to b of f of x, dx minus the integral from a to b of g of x dx ~the integral from a to a of...
*Tuesday, March 15, 2016 by Tiff*

**Calculus**

Given that the antiderivative of f(x) = e4x is F(x) = 1/4e^4x+C, evaluate the integral from 0 to 2 of e^4x, dx. e^8 1/4(1-e^8) 1/4(e^8-1) 1/4e^8 (MY ANNSWER)
*Tuesday, March 15, 2016 by Jess*

**Calculus**

Determine the interval on which f(x) = ln(x) is integrable. (0, ‡) [0, ‡) (−‡, 0) U (0, ‡)(MY ANSWER) All reals
*Tuesday, March 15, 2016 by Jess*

**Calculus**

For what values of a and b is (2, 2.5) is an inflection point of the curve x^2 y + ax + by = 0 ? What additional inflection points does the curve have?
*Tuesday, March 15, 2016 by Methendis*

**Calculus**

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem given below. (Round your answer to four decimal places.) y' = 1 − xy y(0) = 0 I don't even know how to start!
*Tuesday, March 15, 2016 by Kaitlyn*

**calculus**

Find the radius of the base and altitude of a right circular cone of maximum volume that could be inscribed in a sphere at radius 10 meters.
*Monday, March 14, 2016 by Cheska*

**calculus**

water is pouring into a conical cistern at the rate of 8 m^3/minute. If the height of the inverted cone is 12 meters and the radius of its circular opening is 6 meters, how fast is the water level rising when the water is 4 meters depth?
*Monday, March 14, 2016 by Anonymous*

**calculus**

The surface area of a sphere initially zero increases uniformly at the rate of 26 cm^2/seconds. Find the rate at which the radius is increasing at the end of 2 seconds.
*Monday, March 14, 2016 by Anonymous*

**Calculus**

Use the integral identity: ∫(a-1) (1/(1+x^2))dx=∫(1-1/a) (1/(1+u^2))du for a>1 to show that: arctan(a)+arctan(1/a)=π/2
*Monday, March 14, 2016 by Andre*

**Calculus Related Rates**

Two people leave from the same spot and walk at 4 ft/sec going north and 5 ft/sec northwest. At 30 seconds, how fast is the distance between them changing??
*Monday, March 14, 2016 by Hailey*

**Calculus Related Rates**

A balloon, 50 feet from an observer, is rising at 20 ft/sec. At 5 seconds after lift off 1. How fast is the distance between the observer and the balloon changing? 2. How fast is the angle of elevation changing? I need help on both questions. Thanks in advance smart people!!
*Monday, March 14, 2016 by Sally*

**Calculus**

Starting with an initial guess of x=2, use Newton’s method to approximate (Third root of 7). Stop the iterations when your approximations converge to four decimal places of accuracy. Compare with the approximation provided by your calculator I'm so stuck
*Sunday, March 13, 2016 by Tia*

**Calculus**

Using a linear approximation or differentials, approximate:(26.98)^(3/4) thank you for your help!
*Sunday, March 13, 2016 by Emma*

**calculus**

area between the curves y^2=4x , 7y=2x+20 , 2x+3y=0
*Sunday, March 13, 2016 by angelo*

**Calculus**

Find the equation of the line tangent to the curve y=(x^2+3)^1/2 that is perpendicular to the line 2x-y+7=0
*Saturday, March 12, 2016 by Courtney*

**calculus**

The region bounded by y=x^2 and y=4 is rotated about the line y=-1. Find the volume.
*Saturday, March 12, 2016 by dee*

**Calculus**

The temperature of a pan of hot water varies according to Newton's Law of Cooling: dT/dt=-k(T-A), where T is the water temperature, A is the room temperature, and k is a positive constant. If the water cools from 90°C to 85°C in 1 minute at a room temperature of 30...
*Saturday, March 12, 2016 by Una Rosa*

**Calculus**

Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y= -1 - 4/x <- my answer y=-1*e^(1/x) y=e^(-4/x) None of these
*Saturday, March 12, 2016 by Una Rosa*

**Calculus**

Hi it's me again I need help with this too and I promise to never use this site again! I feel so ashamed for asking :( Use the Fundamental Theorem to evaluate the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx.The answer has to have the antiderivative too...
*Friday, March 11, 2016 by Adrianna*

**Calculus**

Can someone help and express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx.
*Friday, March 11, 2016 by Sammy N.*

**Calculus**

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval and please explain, using a graph of f(x), what the Riemann sum represents. My cousin needs help with her ...
*Friday, March 11, 2016 by Adrianna*

**Calculus**

Which of the following is the general solution of the differential equation dy/dx = 2x/y? y2 = x2 + C y2 = 2x2 + C <- my answer y2 = 4x2 + C x2 − y2 = C
*Friday, March 11, 2016 by nan*

**Calculus**

The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? x2 − y2 = 15 x2 + y2 = 15 x + y = 15 <- my answer xy = 15
*Friday, March 11, 2016 by nan*

**Calculus**

The temperature of a pan of hot water varies according to Newton's Law of Cooling: dT/dt=-k(T-A), where T is the water temperature, A is the room temperature, and k is a positive constant. If the water cools from 90°C to 85°C in 1 minute at a room temperature of 30...
*Friday, March 11, 2016 by nan*

**Calculus**

Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y equals negative 1 minus 4 divided by x <- my answer y equals negative 1 times e raised to the 1 over x power y equals e raised to the negative 4 over x power None of these
*Friday, March 11, 2016 by nan*

**calculus**

Find the point on the line –3x+4y–5=0 which is closest to the point (0–5)
*Thursday, March 10, 2016 by Taylor*

**Calculus**

The particular solution of the differential equation dy/dt=2*y for which y(0) = 60 is y = 60e2t y = 60 e0.5t y = 59 + et y = 30et
*Thursday, March 10, 2016 by nan*

**Calculus**

The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? x2 − y2 = 15 x2 + y2 = 15 x + y = 15 xy = 15
*Thursday, March 10, 2016 by nan*

**Calculus**

The temperature of a pan of hot water varies according to Newton's Law of Cooling: dT/dt=-k(T-A), where T is the water temperature, A is the room temperature, and k is a positive constant. If the water cools from 90°C to 85°C in 1 minute at a room temperature of 30...
*Thursday, March 10, 2016 by nan*

**Calculus**

Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y equals negative 1 minus 4 divided by x y equals negative 1 times e raised to the 1 over x power y equals e raised to the negative 4 over x power None of these
*Thursday, March 10, 2016 by nan*

**Calculus**

Express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx.
*Thursday, March 10, 2016 by nan*

**Calculus**

Use the Fundamental Theorem to evaluate the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx. (Your answer must include the antiderivative.) Use a graph of the function to explain the geometric meaning of the value of the integral.
*Thursday, March 10, 2016 by nan*

**Calculus**

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer and explain, using a graph of f(x), what the Riemann sum in ...
*Thursday, March 10, 2016 by nan*

**Calculus**

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer.
*Thursday, March 10, 2016 by nan*

**calculus**

water is being siphoned from a cylindrical tank of radius 10m into a rectangular tank whose base measures 20m by 15m. if the depth of the water in the cylindrical tank in decreasing at a rate of 2m/s, at what rate is the depth of the water increasing in the rectangular tank
*Thursday, March 10, 2016 by Emily*

**Calculus**

Find equation of two tangent lines to curve y=x^2 that intersect @ (2,-2). Need exact values.
*Tuesday, March 8, 2016 by Jake*

**Calculus - Rates of Change**

A water tank has a shape of an inverted cone with a base radius of 2m and a height of 4 m. If water is being pumped into the tank at a rate of 2m3/min, then find the rate at which the water level is rising when the water is 3m deep. Attempted solution: V= 1/3πr^2h V= 1/3...
*Monday, March 7, 2016 by Melissa*

**Calculus**

How to do this vertical slicing question: find the area under the curve for the function y=(2x+1)^2 of the interval -1<=x<=3. I am not sure how to do this, but it may involve breaking the integral up. How though?
*Monday, March 7, 2016 by Cindy*

**Calculus with Analytical Geometry 1**

Jack Brown received two offers for his property: 1. 130000 in 5 months. 2. $13500 every months for the next 10 months. Find the present value of the two offers if theory is worth 12% compounded monthly.
*Monday, March 7, 2016 by Keon*

**AP Calculus AB**

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the y-axis 39pi/2 225pi/2 735pi/2 None of these I got 39pi/2
*Monday, March 7, 2016 by Vikram*

**Calculus**

The City Electric System(CES) recently constructed a major transmission line along parts of South Street in the city. The transmission lines are strung between power poles and the hanging lines form a catenary curve. For this Problem we will use the following equation y=(T/w)...
*Monday, March 7, 2016 by Jay*

**Calculus: Implicit Derivatives**

Compute d/dx[f(g(x))] -where f(x)=x^4-x^2 -and g(x)=x^2-7 (Note: I tried 5 times but I still got this wrong. Plz help)
*Monday, March 7, 2016 by Dominick*

**Calculus / Rates of Change**

A jet flying due north at 16km/min passes 2 km directly above a plan flying due east at 8km/min. How quickly are they separating when the plane is 32 km from the crossover? What I have done (I am not sure if it is correct.): r^2=x^2+y^2+z^2 Since the plane has gone 32 meters, ...
*Sunday, March 6, 2016 by Jermaine*

**Calculus / Rates of Change**

A cylindrical tank with a circular base of 8m in diamante is being filled at 4m3/min. How fast is the level rising when it is half full? Known: d=8m 2r=d r=d/2 d(v)/dt=4.0m3/min Confusion: How to apply the "half full" concept.
*Sunday, March 6, 2016 by Jermaine*

**Calculus / Rates of Change**

An isosceles triangle has a base that is 1.5 times the height. If the area is increasing at 9cm2/s, how fast is the height increasing when it is 12 cm high? Known: base=1.5H dA/dt=9.0cm2/s h=12cm dh/dt= ? Area for a triangle: LxW/2 After that, I am confused.
*Sunday, March 6, 2016 by Jermaine*

**Calculus, Really need help!**

Compute d/dx(f(g(x))) -where f(x)= square root of x -and g(x)=x^2+7
*Sunday, March 6, 2016 by Dominick*

**Calculus**

Starting at midnight, a 10 foot radius circular pond freezes inward from the outer edge at a rate of 4 inches per hour. How fast is the open area shrinking at when the radius is 9 feet? (Note: if I'd said "at 3am" instead of "when radius is 9 ft", this ...
*Sunday, March 6, 2016 by Lela Mitevska*

**Calculus Derivatives**

Determine the concavity of f(x)=xlnx I end up with F''(x)=1/x, where it would be concave up when x>0 and concave down when x<0 Is this correct?
*Saturday, March 5, 2016 by Isabella*

**Calculus**

Integrate dx/(sqrt(x^2+16)). I have no idea how to start and which method to use. Thinking some sort of trig substitution? But it doesn't look like it. Step by step? Answer key says ln|x+ sqrt(x^2+16)|.
*Saturday, March 5, 2016 by Cindy*

**calculus**

a) Let f(z) = z^2 and γ(t) = 1 + it^3, t ∈ [0,1]. i) Write out the contour integral ∫γ f(z)dz as an integral with respect to t. You do not need to evaluate this integral. ii) Evaluate the integral ∫0,1+i z^2dz iii) What is the relationship between ...
*Saturday, March 5, 2016 by jack*

**Calculus**

Compute, in terms of A, B, h, and k, the area enclosed by the curve defined by parametric equations. x(θ)=Acosθ+h and y(θ)=Bsinθ+k. 0≤θ≤2π.?
*Friday, March 4, 2016 by Collin Richards*

**Calculus with Analytical Geometry **

1. A bullet is shot upwards with an initial velocity of 1000 ft/sec from a point 20 ft above groand its height above the ground at time t is given by h(t)=-16t^2 + 1000t + 20. How high will the bullet go and how long will it take the bullet to reach the highest point? 2. A ...
*Friday, March 4, 2016 by Sherianna*

**Calculus**

Show that f(x) = 2000x^4 and g(x) = 200x^4 grow at the same rate I know that they grow at the same rate because they are both raised to the same power, but i don't know how to show it.
*Friday, March 4, 2016 by Henry*

**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...
*Friday, March 4, 2016 by Maddie*

**Calculus**

Find the range of the function ∫sqrt(4-t^2) dt where a=0 =x [0, 4π] [0, 2π] [-4, 0] [0, 4]
*Friday, March 4, 2016 by Henry*

**calculus**

a) Obtain all solutions of the equation z^3 +1 = 0 b) Let z = x + iy. Obtain the real and imaginary parts of the function f(z) = 1/1+z c) Let f(x + iy) = x^2 - y^2 + iv( x,y). Determine a function v such that f is differentiable in the whole complex plane. Express f as a ...
*Thursday, March 3, 2016 by jack*

**Calculus Related Rates**

Two people leave from the same spot and walk at 4ft/sec going north and 5ft/sec going northwest. At 30 seconds, how fast is the distance between them changing?
*Thursday, March 3, 2016 by Sally*

**Calculus**

Find the y-intercept of the tangent line to y= -0.2/sqrt(6+5x) at(2.5,-0.04990597277) Thanks
*Thursday, March 3, 2016 by Niki*

**calculus 1**

f(x) = 3x^3 - 9x + 5 find the: 1) zeroes or undefined values 2) intervals where the function is greater than zero 3) intervals where the function is less than zero 4) coordinates of all maxima and minima 5) intervals where the function is increasing 6) intervals where the ...
*Thursday, March 3, 2016 by i*

**Calculus Related Rates**

Mulch is dumped into a pile with height always 1/3 the diameter at a rate of 30 ft^3/hr. How fast is the height increasing when it is 6 ft tall?
*Thursday, March 3, 2016 by Sally*

**pre calculus**

A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 23805 in3. How big a piece of cardboard is needed?
*Thursday, March 3, 2016 by Hai*

**Pre calculus**

You have a wire that is 71 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the ...
*Thursday, March 3, 2016 by Hai*

**Calculus**

A rectangle is bounded by the x-axis and the semicircle y = sqrt(36-x^2). What length and width should the rectangle have so that its area is a maximum? I understand that 2xy = A and that 4x + 2y = P, but I'm not sure how to solve for a variable to plug back into the ...
*Wednesday, March 2, 2016 by Jane*

**Math**

Using FTC(fundamental theory of calculus) evaluate the derivative of: (definte integral- lower bound 0 and upper 2) ∫|2x-1|dx I have no idea how to do this, especially because the dx is on the same side of the equation. It is usually d/dx, but this is also on the other ...
*Wednesday, March 2, 2016 by Cindy*

**Calculus**

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 5 - x^2 on the interval 0 to sqrt 5 . If so, find the x-coordinates of the point(s) guaranteed by the theorem.
*Wednesday, March 2, 2016 by Henry*

**Calculus**

Find the lengths of a triangle whose two sides lie on the coordinate axes and the other side passes through the point (1,1)
*Tuesday, March 1, 2016 by Anonymous*

**Calculus**

Find the lengths of a triangle whose two sides lie on the coordinate axes and the other side passes through the point (1,1)
*Tuesday, March 1, 2016 by Anonymous*

**Calculus Related Rates**

A hot air balloon, 50 feet from an observer, is rising at 20 ft/sec. At 5 seconds after lift off 1. How fast is the distance between the observer and the balloon changing? 2. How fast is the angle of elevation changing?
*Tuesday, March 1, 2016 by Mary*

**AP Calculus AB**

For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 6 secs? -36 36 0 55.596 For an object whose velocity in ft/sec is given by v(t) = -2t^2 + 4, what is its distance travelled, in feet, on the ...
*Tuesday, March 1, 2016 by Vikram*

**Calculus**

Two sides of a triangle are 2 meters and 3 meters and the angle between them is increasing at 0.5 radians/second when the angle is pi/4. 1. How fast is the distance between the tips increasing? 2. How fast is the area increasing? I got part of #1 but I am getting multiple ...
*Tuesday, March 1, 2016 by Mary*

**Calculus**

A horizontal trough is 40 cm long and its ends are in the form of an isosceles trapezoids with an altitude of 20 cm, a lower base of 20 cm and an upper base of 3 cm. Water is being poured into the trough at the rate of 5 cm/sec. How fast is the water level rising when the ...
*Tuesday, March 1, 2016 by Pauline*

**Calculus**

If the radius of a circle increasing at the rate of 4 cm/sec, find the rate of the increase in the area when the radius is 12 cm.
*Tuesday, March 1, 2016 by Pauline*

**Calculus**

A tank in the form of an inverted cone having an altitude of 2 meters and a base radius of 50 cm. Water if flowing into the tank at the rate of 10 cube centimeters/sec. How fast is the water level rising when the water level is 80 cm deep?
*Tuesday, March 1, 2016 by Pauline*

**calculus**

A baseball player is running from the at 20 ft/sec. At what rate is his distance from the home plate changing when he is 30 ft from the third base. The baseball diamond is a square 90 ft on a side.
*Tuesday, March 1, 2016 by Pauline*

**Calculus, Math word problems.**

A closed box is to be made in the shape of a cubiod, of height h cm and with a square base that has sides of length x cm. Its volume V is required to be 500 cm^3. A) write an expression for the V (volume)in terms of h and x. B)Write an expression for the surface area A in ...
*Tuesday, March 1, 2016 by Mat*

**Calculus**

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 10 cm, the edge length of the base is increasing at...
*Monday, February 29, 2016 by jjoossiiee*

**Calculus help, very confused!!**

A fundamental problem in crystallography is the determination of the packing fraction of a crystal lattice, which is the fraction of space occupied by the atoms in the lattice, assuming that the atoms are hard spheres. When the lattice contains exactly two different kinds of ...
*Monday, February 29, 2016 by Sam Johnston*

**Calculus**

Two sides of a triangle are 2 meters and 3 meters and the angle between them is increasing at 0.5 radians/second when the angle is pi/4. 1. How fast is the distance between the tips increasing? 2. How fast is the area increasing? I got part of #1 but I am getting multiple ...
*Monday, February 29, 2016 by Mary*

**calculus **

Find derivative of function g (t)=(6t^2+5)^3 (t^3-7)^4 thank you very much!
*Monday, February 29, 2016 by Danniela*

**Calculus/Vectors**

Two math students erect a sun shade on the beach. The shade is 1.5 m tall, 2 m wide, and makes an angle of 60° with the ground. What is the area of shade that the students have to sit in at 12 noon (that is, what is the projection of the shade onto the ground)? (Assume the...
*Monday, February 29, 2016 by HJ*

**Pre-Calculus**

An investor has $100,000 to invest in three types of bonds: short-term, intermediate-term, and long-term.How much should she invest in each type to satisfy the given conditions? Short-term bonds pay 4% annually, intermediate-term bonds pay 5%, and long-term bonds pay 6%. The ...
*Sunday, February 28, 2016 by Frank*

**Calculus**

Stock Speculation: In a classic paper on the theory of conﬂict, L.F. Richardson claimed that the proportion p of a population advocating war or other aggressive action at a time t satisﬁes p(t) = (Ce^kt) / (1 + Ce^kt) where k and C are positive constants. ...
*Sunday, February 28, 2016 by Wade Wilson*

**Calculus**

Stock Speculation: In a classic paper on the theory of conﬂict, L.F. Richardson claimed that the proportion p of a population advocating war or other aggressive action at a time t satisﬁes p(t) = (Ce^kt) / (1 + Ce^kt where k and C are positive constants. ...
*Sunday, February 28, 2016 by Wade Wilson*

**Calculus Pre Test Questions Monday Part 4**

After t minutes of growth, a certain bacterial culture has a mass, in grams, of M(t) =t^2. a. How much does the bacterial culture grow during the time 3<t<3.01? b. What is its average rate of growth during the time interval 3<t...
*Saturday, February 27, 2016 by Morris*

**Calculus Pre Test Questions Monday Part 4**

After t minutes of growth, a certain bacterial culture has a mass, in grams, of M(t) =t^2. a. How much does the bacterial culture grow during the time 3<t<3.01? b. What is its average rate of growth during the time interval 3<t...
*Saturday, February 27, 2016 by Morris*

**Calculus Pre Test Monday Part 3**

The height, in metres, of an object that has fallen from a height of 180 m is given by the position function s(t)=-5t^2 +180, where t >0 and t is in seconds. a. Find the average velocity during each of the first two seconds. b. Find the ...
*Saturday, February 27, 2016 by Morris*

**Calculus**

Calculate the slope of the graph of f(x)=4-x^2 if x<1 and 2x+1 if x>1 at each of the following points: a.P(-1,3) b.P(2,5)
*Saturday, February 27, 2016 by Morris*

**Calculus**

Hellp I have a calculus test on Monday 2. Calculate the slope of the tangent to the given function at the given point or value of x a. f(x)=3/x+1,P(2,1) b.h(x)=2/squareroot x + 5, P(4,2/3) ****Full solutions to please because I do not know what I'm doing and so confused ...
*Saturday, February 27, 2016 by Morris*

**calculus**

A ship, proceeding southward on a straight course at the rate of 12 miles/hr is, at noon, 40 miles due north of a second ship, which is sailing west at 15 miles/hr. a) How fast are the ships approaching each other 1 hour later? b) Are the ships approaching each other or are ...
*Saturday, February 27, 2016 by Andrea*

**calculus**

An angler has a fish at the end of his line, which is being reeled in at the rate of 2 feet per second from a bridge 30 feet above the water. At what speed is the fish moving through the water towards the bridge when the amount of line out is 50 feet? (Assume the fish is at ...
*Saturday, February 27, 2016 by Andrea*

**calculus**

The sales(in millions) of a DVD recording of a hit movie t years from the date of release is given by a) Find the rate of which the sales are changing at time t. b) How fast are the sales changing at the time the DVDs are released? c) How fast are the sales changing two years ...
*Saturday, February 27, 2016 by Andrea*

**calculus**

Sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. If the sand is falling at the rate of 10 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 5 feet deep?
*Saturday, February 27, 2016 by Andrea*

**Pre calculus**

Dternine the unknown side and angles of each triangle give both solutions. In Abc. Angle C is 31 degrees. a is 5.6 cm and c is 3.9 cm. solve this triangle and give both solutions along with all the steps. tanks
*Friday, February 26, 2016 by Pre cal 11*

**Calculus**

Estimate the area of the plane region bounded by the graph of f(x) = e^x, the x-axis, and the vertical lines x = 0 and x = 8 using the trapezoidal method with trapezoids of equal width. Round your answer to 4 decimal places. I got the answer 6892.7480 but it was incorrect and ...
*Friday, February 26, 2016 by Andrea*

**Calculus**

Water is leaking out of an inverted conical tank at a rate of 13500.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 12.0 meters and the diameter at the top is 5.5 meters. If the water level is rising...
*Friday, February 26, 2016 by Taylor*

**pre-calculus**

Find all the vertical and horizontal asymptotes for (x^2+4x+3)/(x^2-1) All I can figure out is that if the degree of the denominator is bigger than the numerator, then y=0. But I don't know if that's right! Please help. Thank you!
*Thursday, February 25, 2016 by Anonymous*

**Pre-Calculus**

A drawbridge is l = 110 feet long when stretched across a river. As shown in the figure below, the two sections of the bridge can be rotated upward through an angle of α = 34°. a)If the water level is 35 feet below the closed bridge, find the distance d between the ...
*Thursday, February 25, 2016 by Tim*

**Pre-Calculus**

A person flying a kite holds the string 4 feet above ground level. The string of the kite is taut and makes an angle of 60° with the horizontal (see the figure). Approximate the height of the kite above level ground if 500 feet of string is payed out. (Round your answer to...
*Thursday, February 25, 2016 by Tim*

**Calculus**

A 10 cm x 12 cm rectangular sheet that is used to make a box with open top is to be lined with cushion. if the cushion material for the sides costs four times per square centimeter as that of material for the bottom, find the dimensions of the box if the cost is to be minimized.
*Thursday, February 25, 2016 by Pauline*

**Calculus**

Two sides of a triangle have lengths 8 m and 13 m. The angle between them is increasing at a rate of 0.08 radians /min. How fast is the length of the third side increasing when the angle between the sides of fixed length is π/3 radians. Please help I have been stuck on ...
*Thursday, February 25, 2016 by Mary*