Sunday

February 26, 2017
**math/Calculus**

If h(x) = csc(x), find the inverse h^(-1)(x). express answer in terms of sin^(-1), cos^(-1) or tan^(-1) Don't know where to start -

*Saturday, September 3, 2016 by Linda*

**Calculus**

Hi, please I need help with this demonstration: If “f” , “g” :[ 0,1]→R are continuous functions, they are differentiable in (0,1), f(0)=0, g(0)=2 and │f ‘ (x)│≤1 ,│g ‘ (x)│≤1 for the interval (0,1). Prove that f(x) < g(x...

*Saturday, September 3, 2016 by Jane*

**Calculus**

Integral of (3^x)(e^x)dx

*Thursday, September 1, 2016 by Alexa*

**Calculus**

Evaluate using tabular method: integral e^(2x)cos3xdx

*Thursday, September 1, 2016 by Alice*

**calculus**

find lim 1-2x / 1+6x x -> infinity find lim [ x / ((3+x)^2) -5] x -> infinity

*Wednesday, August 31, 2016 by ellora*

**Pre-calculus**

Find the equation of the locus of the point which moves so that its distance from the point (2,0) is 2/3 its distance from the line y=5.

*Wednesday, August 31, 2016 by Ace*

**Pre-Calculus**

Define the inverse secant function by restricting the domain of the secant function to the intervals (0, pi/2) and (pi/2, pi), and sketch the inverse function’s graph.

*Tuesday, August 30, 2016 by Sade*

**Pre-Calculus**

Which of the following statements best describes the domain of the functions sine and arcsin? A)Sine domain is all real numbers; Arcsin domain is all real numbers. B)Sine domain is restricted; Arcsin domain is all real numbers. C)Sine domain is all real numbers; Arcsin domain ...

*Tuesday, August 30, 2016 by Iris*

**Calculus**

a cone has an altitude of 12 cm and a base radius which increases at the rate of 3 cm per minute. When the radius is 6 cm,how fast is the vertex angle increasing?

*Tuesday, August 30, 2016 by Natasha*

**calculus**

find the area of the parallelogram that has vectors as adjacent sides u = -2i +j +5k v = 4i -3j -3k

*Tuesday, August 30, 2016 by jameson*

**calculus**

find the triple scalar product u . (v * w) for the vectors u= (5, 9, -6) v= (5, 8, -1) w= (-2, 8, 3)

*Tuesday, August 30, 2016 by jameson*

**Pre-Calculus**

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. At any given time, t, the distance biked can be calculated using the formula d = rt, where d ...

*Monday, August 29, 2016 by P*

**Calculus**

A statue 5m high is standing on a base 8m high. Is an observer's eye is 2.5 m above the ground, how far should he stand from the base of the statue in order that the angle between his lines of sight to the top and bottom of the statue be a maximum.

*Monday, August 29, 2016 by Natasha*

**Calculus**

If θ is an acute angle and tan(θ)=5/12, then sin(θ)=??

*Sunday, August 28, 2016 by Kevin*

**Calculus**

Hello my problem is the next one: g is a function between the interval (a,b)and "p" is a fixed point in (a,b) that`s mean that g(p)=p. If g can be derivated in that interval and /g(x)/<1 to all the interval. Demonstrate using the Mean value theorem that there is ONLY one ...

*Sunday, August 28, 2016 by Arthur*

**calculus**

find the inverse of the matrix. [ 16 1 ] 1 16

*Friday, August 26, 2016 by jessica*

**calculus**

Find the product [ 3 8 ] [ 4 5 ] 6 3 4 4

*Friday, August 26, 2016 by jessica*

**calculus**

Find A - B A = [ 3 7 8 ] 7 9 3 7 9 9 B = [ 2 2 6 ] 6 7 8 5 8 6

*Friday, August 26, 2016 by jessica*

**Pre-calculus**

Plss... help me.. what is the equation of parabola with vertex on the line y=x, axis parallel to Ox, and passing through (6,-2) and (3,4)? thanks!

*Thursday, August 25, 2016 by Ace*

**Calculus**

A spherical balloon is inflated at the rate of 5 cubic feet/minute. What is the volume of the balloon if when the radius is increasing at the rate of 3 feet/minute?

*Thursday, August 25, 2016 by Molly*

**calculus**

Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0.

*Wednesday, August 24, 2016 by andre*

**pre calculus honors**

solve the system if possible | x+y+z = 15 | | < 7x+y+z = 75 | | | 3x+y-z=29 a. x=10,y=2,z=3 b. x=–10,y=–2,z=–3 c. x=3,y=10,z=–3 d. x=12,y=9,z=–3 e. no solution; inconsistent system

*Wednesday, August 24, 2016 by evelyn*

**pre calculus honors**

An object moving vertically is at the given heights at the specified times. Find the position equation s = 12 at^2 + v (small o) t + s (small o) for the object. At t = 1 second, s = 161 feet At t = 2 seconds, s = 98 feet At t = 3 seconds, s = 3 feet a. s=−8t^2−t&#...

*Wednesday, August 24, 2016 by evelyn*

**Calculus**

Solve the following equation on the interval [0,2pi) if sin = -0.29?

*Sunday, August 21, 2016 by Ed*

**Calculus**

Solve lim sin2x using any method. ×>0 ----- 5x I am unaware of what my first step is supposed to be, I know that if I plug in 0 to x, I will receive an answer of 0/0, and that makes my answer indeterminate. So what happens after that?

*Sunday, August 21, 2016 by Leslie*

**Calculus**

Equal squares of side length x are removed from each corner of a 20 inch by 30 inch piece of cardboard, and the sides are turned up to form a box with no top. Write the volume V of the box as a function of x.

*Sunday, August 21, 2016 by Brenna*

**Calculus**

A 100 inch piece of wire is cut into two pieces. Each piece of wire is used to make a square wire frame. Let x be the length of one piece of the wire. Determine an algebraic representation A(x) for the total area of the two squares.

*Sunday, August 21, 2016 by Brenna*

**calculus**

Find lim as (x,y) goes to (0,0) of (e^(-x^2-y^2)-1)/(x^2+y^2).

*Saturday, August 20, 2016 by andre*

**Calculus**

At what points c, if any, does lim x --> c f(x) exist? f(x) ={0, x < -1 {x, -1 ≤ x < 0 {1, x=0 {x, 0 < x ≤ 1 {0, x > 1

*Friday, August 19, 2016 by Gala*

**pre calculus work**

given f(x)= 5x+4/5x^2+4x and g(x) = 1/x a. determine the domains of f(x) and g(x) b. simplify f(x) and find any vertical asymptotes c. explain how the two functions differ I have absolutely no idea how to answer this question - can you please help me to figure it out?!

*Friday, August 19, 2016 by erin*

**calculus**

A particle moves so that its position is given by ⟨cos(t),sin(t),cos(6t)⟩. Find the maximum and minimum speeds of the particle.

*Friday, August 19, 2016 by andre*

**Pre Calculus**

Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer. Having lots of trouble with this...

*Thursday, August 18, 2016 by maria*

**Calculus**

If F(x)=f(g(x)-h(x)), where g(3)=5, h(3)=4, g'(3)=3, h'(3)=1 and f'(1)=10, find F'(3). I know how to do derivatives and all, but I rlly can't figure this question out

*Wednesday, August 17, 2016 by Aa*

**Calculus**

What are the zeroes of the polynomial equation, 𝑦 = 𝑥3 + 3𝑥2

*Wednesday, August 17, 2016 by Jessie*

**Calculus**

This question is killing me! :( Find the total area of the regions enclosed by the relations x=y^3-y+1 and x=-y^3-y^2+1. This is easiest if you integrate over y instead of x. Thank you so much in advance!

*Tuesday, August 16, 2016 by Joana*

**Calculus**

Any help will be appreciated! Find the area of the region between x=-3pi/4 and 5pi/4 in the graph enclosed by f(x)=sinx and g(x)=cosx Thank you!

*Tuesday, August 16, 2016 by Joana*

**calculus**

Find an equation of the plane containing the line of intersection of x+y+z=1 and x−y+2z=2, and perpendicular to the x-y plane.

*Tuesday, August 16, 2016 by andre*

**Calculus**

Hi, could you help me with this one please? Evaluate ∫sin(x)cos^2(x)dx by using the substitution u=sinx Ive done this by using u=cosx no problem but can't get this one :( Thank you so much in advance!

*Tuesday, August 16, 2016 by Natalie*

**calculus**

Do the three points (1,2,0), (−2,1,1), and (0,3,−1) form a right triangle? I think they do by using dot product. Do the three points (1,1,1)(1,1,1), (2,3,2)(2,3,2), and (5,0,−1)(5,0,−1) form a right triangle? I think they don't.

*Sunday, August 14, 2016 by andre*

**calculus**

A force of 10 pounds is applied to a wagon, directed at an angle of 30∘30∘. Find the component of this force pulling the wagon straight up, and the component pulling it horizontally along the ground.

*Sunday, August 14, 2016 by andre*

**Pre-Calculus**

Use a graphing utility to graph the function y = d + a sin (bx - c) for different values of a, b, c, and d. Write a paragraph describing the changes in the graph corresponding to changes in each constant.

*Sunday, August 14, 2016 by Iris*

**Pre-Calculus**

You are given the value of tan Θ. is it possible to find the value of sec Θ without finding the measure of Θ? Explain.

*Friday, August 12, 2016 by Iris*

**Calculus**

The minute and hour hands on the face of a school clock are 8 inches and 6 inches long, respectively. Find the rate of change, in inches per minute, of the distance between the tips of the hands at 9:00.

*Thursday, August 11, 2016 by Matt*

**Calculus**

Find arccos (sqrt2/2). Can this be pi/4 and 7pi/4?

*Thursday, August 11, 2016 by Anonymous*

**Calculus**

Find dy/dx. e^(xy)=sin(x)

*Wednesday, August 10, 2016 by Maggie*

**Calculus 1**

Find the limit. lim x->0 (e^(6/x)+8x)^(x/2)

*Wednesday, August 10, 2016 by Kate*

**Calculus**

Use L'Hoplital's rule to find the limit. Lim x->0 (3-3cos(x))/(sin(4x))

*Wednesday, August 10, 2016 by Sam*

**Calculus**

The velocity of an object is given by the velocity function v(t)=t/42. If the object is at the origin at time t=0, find the position at time t=20.

*Wednesday, August 10, 2016 by Sam*

**calculus**

Find the Maclaurin series of xcos(x^2).

*Sunday, August 7, 2016 by andre*

**Calculus with analytic geometry**

What is the range and domain, x and y intercepts, symmetry and asymptote of this given equation, f(x) = 2x^2 - 8 / x-1

*Sunday, August 7, 2016 by Caren Renz Paredes Condesa*

**Math calculus**

An ice cube is 3 by 3 by 3 inches is melting in such a way that the length of one of its side is decreasing at a rate of half an inch per minute. Find the rate at which its surface area is decreasing at the moment when the volume of the cube is 8 cubic inches

*Sunday, August 7, 2016 by Ashley*

**Calculus - Need help please**

Given the following function, y=tan(pi-3x) 1)determine the interval for the principal cycle. (^ Type your answer in interval notation) 2)Then for the principal cycle, determine the equations of the vertical asymptotes 3)find the coordinates of the center&#...

*Thursday, August 4, 2016 by Mike*

**Brief Calculus**

The demand function for a certain brand of CD is given by p = −0.01x2 − 0.2x + 12 where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by p = 0.01x^2 + 0.5x + 3 where p is the ...

*Wednesday, August 3, 2016 by Tiffany*

**Brief Calculus**

The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = −0.01x2 − 0.3x + 10 ...

*Wednesday, August 3, 2016 by Tiffany*

**Calculus1**

find the derivative using fundamental theorem of calculus integral of sin^3tdt from e^x to 0

*Wednesday, August 3, 2016 by Anonymous*

**calculus**

Campbell’s Soup Company requires that is its tomato soup containers have a capacity of 64 in^3 , have the shape of a circular cylinder, and be made of aluminum. Determine the radius and height of the container that requires the least amount of metal.

*Tuesday, August 2, 2016 by maggie*

**calculus**

Suppose that an arrow was fired vertically upward from a crossbow at ground level and that it struck the ground 20 seconds later. If air resistance may be neglected, find the initial velocity of the bolt and the maxim altitude that it reached.

*Tuesday, August 2, 2016 by maggie*

**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^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3]

*Monday, August 1, 2016 by Diana*

**Calculus**

What is the maximum area of a rectangle that has sides along the positive x-axis and y-axis and lies below the line 3x+2y=1

*Monday, August 1, 2016 by Aj*

**Calculus**

Does the series converge? diverge? Use the Root test ((1/n)-(1/n^2))^n

*Monday, August 1, 2016 by ANON*

**Calculus**

First make a substitution and then use integration by parts to evaluate. The integral of (x)(ln(x+3))dx What do you substitute first?

*Sunday, July 31, 2016 by Anonymous*

**Calculus**

Calculate the interval of convergence. Sigma from n=1 to infinity of (n!*x^n)/n^n. Calculus - Steve, Friday, July 29, 2016 at 11:52pm try using the ratio test. You should be able to show that the series converges for |x| < e I tried and I got |x|lim n-infinity of |(n/n+1)^n...

*Saturday, July 30, 2016 by andre*

**Calculus AB**

A rectangle is inscribed in a right triangle with legs of length 5 and 12. The sides of the rectangle are parallel to the legs of he triangle. Find the dimensions of the rectangle that has the largest area?

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

A 5.5 foot man walks away from a 12 fokt lampost at a constant speed. At a given moment, let l be the length of the man's shadow (along the ground) and ket x be his distance from the lampost. Sketch a figure that represents the problem Express l in terms of x

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

The height h of a closed cylindical tank is 4 times longer than he radius r. Write the volume of the tank as a function of r. Write the total surface area of the tank in terms of h.

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

Water pours at a constant rate into a conical tank of height 10 feet and radius 4 feet. Let V, h and r be the volume, height, and radius if the water in the tank at a particular time t. Express the volume of the water in the tank at any time t as a function of h only.

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It has the following properties: 1) The graph of f is symmetrical with respect to the y-axis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes through the point (-1,3) Determine the values ...

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

Theta is an angle between the lines L1 and L2 with the slopes m1 and m2. Prove that tan theta= (m2 - m1)/(1+m2m1).

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

If r and s are roots of the pokynomial equation x^2 + bx + c, show that b=-(r+s) and c=rs

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

Solve graphically (x-2)^3(x+4)(3-x)^2(x+1)^4 <0

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

A hiker walks due east for 40 minutes, then changes course by going South 25 degrees West. After 20 minutes, he changes course again, this time at South 75 degrees East. He goes through this path for one hour after which he heads north reaching his final destination in 15 ...

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

One of the equal angles of an isosceles triangle is 55 degrees. If the base is 20 cm, what is the perimeter and the area?

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

From a height of 10 meters in the third floor of an apparent that building, the angle of depression of two cars moving on the same lane and in the same lane and in the same direction measure 29.5 degrees and 38.2 degrees. How far are the two cars from each other? This ...

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

What is an algebraic expression for cot(arccos ((x+1)/2)?

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

Without using a calculator, what is the exact value of sec(arctan(12/5)) - sin(arccot(3/4))

*Saturday, July 30, 2016 by Michael*

**Calculus AB**

The functions are f(x)= lnx, x>0 and g(x)=sinx. Let H be the composition of f with g, or H(x)=f(g(x)) and A) Find the domain of H B) Find the range of H C) Find the zeros of H

*Saturday, July 30, 2016 by Anoop*

**Calculus AB**

If a sinusoidal function has a local maximum at (3,8) and the next local minimum at (7,-2), 1) What is the equation of a cosine function that has a graph characterized in the statement above 2) What is the equation of a sine function that has a graph characterized in the ...

*Saturday, July 30, 2016 by Jake*

**Calculus**

Calculate the interval of convergence. Sigma from n=1 to infinity of (n!*x^n)/n^n.

*Friday, July 29, 2016 by andre*

**Calculus AB**

If csc x = -2.5, what is the value of x?

*Friday, July 29, 2016 by Sandra*

**Calculus AB**

What are the six trigonometric functions of 2010 times pi?

*Friday, July 29, 2016 by Melannie*

**Calculus AB**

How do you solve a system of logarithmic equations? They have completely different bases: {(log(25)^3)x + (log(2)^7)y = log(5)^27 {(log(7)^8)x + (log(3)^5)y = log(49)^2

*Friday, July 29, 2016 by Carmen*

**Calculus**

divide 64 into two parts such that the product of one of them plus the cube of the other is a maximum

*Thursday, July 28, 2016 by Jj*

**Calculus**

If x^2 + y^2 = 25 and dx/dt = 8, find dy/dt when x=3.

*Sunday, July 24, 2016 by Brad*

**Calculus - Differentials**

The diameter of a shpere is measured to be 6 inches with a possible error of 0.05 inches. Use differentials to estimate the maximum error in the calculated surface area. I've gotten this far: A=4pir^2 dA=8(pi)(r)(dr) Since the problem gives me the diameter and the equation A=...

*Saturday, July 23, 2016 by Brad*

**Calculus**

A 20m ladder is leaning against a wall. Top of ladder is sliding down at 3m per second and the bottom is sliding away from the wall at 4m per second. How high is the top of the ladder and far is the bottom of the ladder from the wall.

*Saturday, July 23, 2016 by Erica*

**Calculus**

An open box is to be made from a rectangular piece of material by cutting equal squares of length x from each corner and turning up the sides. If the material is 18 inches long and 12 inches wide. What is the volume of the box as a function of x?

*Friday, July 22, 2016 by Zelina*

**calculus**

A farmer has 100 m of fencing to make a rectangular pen with 3 congruent rectangular subdivision side by side. Each subdivisions must be 3 meter wide and at least 8 meters long. What is the range of the possible length of it's division?

*Tuesday, July 19, 2016 by Anonymous*

**Calculus**

Differentiate with respect to x 1/sin x

*Monday, July 18, 2016 by somay*

**Calculus the derivative**

The height in feet of a free falling object t seconds after release is s(t)=-16t^2+ v_0t+s_0, where s_0 is the height(in feet) at which the object is realsed, and v_0 is the initial velocity (in feet per second). Suppose the coin is dropped from a height of 1454 feet. D. At ...

*Monday, July 18, 2016 by Samantha*

**Calculus the derivative**

Can you please check my answers and help me fix the one I don't or or did wron . The height in feet of a free falling object t seconds after release is s(t)=-16t^2+ v_0t+s_0, where s_0 is the height(in feet) at which the object is realsed, and v_0 is the initial velocity (in ...

*Monday, July 18, 2016 by Samantha*

**Calculus rate of change**

Can you please check my answers and fix the ones if any that are wrong. Along with help on part d Consider the following fun f(x)=(3/4)x^3- x^3-3x^2+6x A.find relative extrema and identify max and min. I got x=1 max ,±√2 min B.determine the interval(s) where f(x) is ...

*Monday, July 18, 2016 by Nicole*

**Calculus rate of change**

A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. After 5 minutes, how fast is the base area of the base increasing? I honestly have no idea how to start this ...

*Monday, July 18, 2016 by Nicole*

**Calculus**

A tank in the shape of a right circular cylinder is filled with water (62.5 lb/ft3). It has a height of 8 ft and a diameter of 10 ft. How much work is required to pump all the water to a spout that is 3 ft above the top of the tank?

*Monday, July 18, 2016 by ANON*

**calculus**

A tank in the shape of a right circular cylinder is filled with water (62.5 lb/ft3). It has a height of 8 ft and a diameter of 10 ft. How much work is required to pump all the water to a spout that is 3 ft above the top of the tank?

*Monday, July 18, 2016 by ANON*

**calculus**

A region is bounded by y=2x and y=4sqrt(x). Find the volume when rotated along 1)y=-1 2)the y axis

*Monday, July 18, 2016 by ANON*

**Calculus**

A tank in the shape of a right circular cylinder is filled with water (62.5 lb/ft3). It has a height of 8 ft and a diameter of 10 ft. How much work is required to pump all the water to a spout that is 3 ft above the top of the tank?

*Sunday, July 17, 2016 by ANON*

**pre calculus**

C=2 x^=8y

*Sunday, July 17, 2016 by Anonymous*

**Calculus**

A spherical balloon is being inflated.Let r(t)=3t can represents its radius at time t seconds and let g(r)=4/3 pie r be the volume of the same balloon if its radius is r.Write (g.r) in terms of t and describe what it represents.

*Saturday, July 16, 2016 by Anonymous*

**calculus**

A door is opened by pushing inward explain in terms of torque why this is most easily accomplished when pushing at right angles to the door as far as possible from the hinge side of the door?

*Friday, July 15, 2016 by Emily*

**Calculus**

How do you differentiate sin^2(cos t) My work: =2sin(cos)(cost)(-sint)

*Thursday, July 14, 2016 by Nora*