Tuesday

January 24, 2017
**Calculus**

Find an equation of the tangent line to the graph of f at the given point. f(x) = x + (4/x), (4,5) I tried using the limit process a lot, but it didn't quite work. If possible, please use the limit process. Thanks a lot to whoever answers this question.

*Tuesday, September 27, 2016 by Tyler*

**Pre-Calculus**

Find two exact values of theta in degrees (0 less than or equal to theta < 360Â°) if cos theta = -(square root of 2)/2.

*Tuesday, September 27, 2016 by Sade*

**Pre-Calculus**

Use a calculator to approximate two values of theta (0 <= theta < 2pi) if csc theta = 1.03. Round answer to two decimal places.

*Tuesday, September 27, 2016 by Sade*

**Pre-Calculus**

Use a calculator to approximate two values of theta (0 <= theta < 2pi) if csc theta = 1.03. Round answer to two decimal places.

*Tuesday, September 27, 2016 by Sade*

**calculus help plllllz**

if you go with the right substitution ∫[{(1-sin(x))/(1+sin(x))}{(2-sin(x))/(2+sin(x))}] dx plz show me solution

*Monday, September 26, 2016 by rapheal*

**calculus help me pllllllllllz**

Find out what kind of improper integral is given below Â§dx/{x^4+4}....?,hence evaluate the integral with upper boundary=infinity lower boundary =0 i need help plz show me full work

*Monday, September 26, 2016 by samuel*

**Calculus**

Water is flowing into a hemispherical bowl having a radius of 10cm at constant rate of 3cm^3/min. When the water is x cm deep, The water level rises at a rate of 0.0149 cm/min. What is the value of x?

*Monday, September 26, 2016 by Francois*

**Calculus**

Construct a function f : R 2 Â¡Ã¦ R such that its saddle points are given by {(n, 2m+1−n)|n Â¡Ã´ Z, m Â¡Ã´ Z}, where Z is the set of integers.

*Monday, September 26, 2016 by Dave*

**calculus**

plz help show me steps solution evaluate the integral Â§dx/[(x+1)root(1-x^2)]

*Monday, September 26, 2016 by dam*

**Calculus**

Evaluate the limit using algebraic techniques. limit of (x^2 - 25)/(x^2 - 4x - 5) as x approaches 0. How do I do this?

*Sunday, September 25, 2016 by Anonymous*

**Calculus**

Find the set of points that the following function is continuous at them . f(x)= { (2x+1)/(x+3) if x<0 (√(x+4)-2)/2x^2-3xx if x>0 -1/3 if x=0

*Sunday, September 25, 2016 by Emily*

**Calculus**

Find all the values of a and b in such a way that f is continuous function on its domain. f(x)= { (√x+a)+1 if -a ≤x ≤ 0 2x^2+3 if 0 ≤ x ≤ 1 (x+b)^2+1 if x>1

*Sunday, September 25, 2016 by Emily*

**calculus help**

if y^3=6xy-x^3-1 show that the maximum value of y occurs where x^3=8+2sqrt(14)

*Friday, September 23, 2016 by samson*

**Calculus**

Even after looking up how to do this and reading about it I still don't know how to find the slope of curve or the deritives . Please help solve these problems. 1. Y =x^3 p(-1, -1) 2. Y = x^4 /2 p(-1 , 1/2) 3. Y= 8x^4 -7x^2 +5x + 6 p(-1,2)

*Friday, September 23, 2016 by Stephanie*

**Calculus**

Suppose you know f′(a) = R, a, R > 0. If f is an odd function, what is f(−a)? Explain

*Friday, September 23, 2016 by Mauricio*

**calculus**

a ladder 10m long is leaning against a vertical wall with its other end on the ground. the top end of the ladder is sliding down the wall , when the top end is 6m from the ground it is sliding down at 2m/sec. how fast is the bottom moving away from the wall at this instant?

*Thursday, September 22, 2016 by Paul*

**Calculus**

(kx^2)+m, x<-2 g(x)=e^(ln(2x+3))-2<x<3 kx-m, x>3 Find values of k and m

*Wednesday, September 21, 2016 by Alvin*

**calculus need help**

solve d^2y/dx^2+y=tanx plz help me aldo i was given a link to read on but i cant even acess it just help

*Tuesday, September 20, 2016 by dams*

**maths calculus need help plz**

solve d^2y/dx^2+y=tanx show working plz i don't no it at all

*Tuesday, September 20, 2016 by dams*

**Calculus**

Find a value for k so that the function is continuous. f(x) = {(x^2 + 2x - 15)/(x - 3), x ≠ 3 and 2kx - 4, x = 3 Is k = 2?

*Monday, September 19, 2016 by Anonymous*

**calculus help me asap**

if y^6=tanh^-1(tan^-4(4x^2+y^2)^2)^9 find dy/dx show work....

*Monday, September 19, 2016 by marvin*

**Calculus 2**

A culture of bacteria is growing at the rate of 20e^0.8t cells per day, where t is the number of days since the culture was started. Suppose that the culture began with 50 cells. (a) Find a formula for the total number of cells in the culture after t days. (b) If the culture ...

*Sunday, September 18, 2016 by Alexis*

**Calculus III**

Topic: Quadric surfaces. I have two homework problems, and they are quite a doozy for me. So the point is, I am given details of a quadric surface on the Cartesian coordinate system, and thus have to use the data to construct an equation through it. ====================== Find...

*Sunday, September 18, 2016 by Justin*

**calculus and chemistry**

A container of hot liquid is placed in a freezer that is kept at a constant temperature of 10Â°F. The initial temperature of the liquid is 160Â°F. After 5 minutes, the liquid's temperature is 60Â°F. How much longer will it take for its ...

*Sunday, September 18, 2016 by Sarah*

**calculus**

A container of hot liquid is placed in a freezer that is kept at a constant temperature of 10Â°F. The initial temperature of the liquid is 160Â°F. After 5 minutes, the liquid's temperature is 60Â°F. How much longer will it take for its ...

*Saturday, September 17, 2016 by Sarah*

**calculus plz help me**

Show that the numerical value of the radius of curvature at the point (x1, y1) on the parabola y^2=4ax is [2(a+x1)^3/2)]/a^1/2. If c is the centre of the curvature at the origin O and S is the point (a, 0), show that OC=2(OS) plz show me working plz

*Friday, September 16, 2016 by marvin*

**calculus need help**

If 3ay^2=x(x-a)^2 with a>0, prove that the radius of curvature at the point (3a, 2a) is 50a/3. Help with working plz

*Friday, September 16, 2016 by marvin*

**Calculus**

If a ≠ 0, then the limit of (x^2 - a^2)/(x^4 - a^4) as x approaches a is: How do I do this type of problem?

*Thursday, September 15, 2016 by Anonymous*

**Calculus AB**

Please help I'm stuck on this problem for the past hour. Define f(x)= { Ln lx-1l }/x A) show that f(c) is continuous at x=2 B)Where on the interval [-2,2] is f discontinuous? Show the work that leads to your conclusion. C) classify the discontinuities in part b) as ...

*Thursday, September 15, 2016 by Annie*

**stats**

Jason, a freshman at a local college, just completed 15 credit hours. His grade report is presented below. Course: Calculus, Biology, English, Music, P.E. Credit Hours 5, 4, 3, 2, 1 Grades C, A, D, B, A The local university uses a 4 point grading system, i.e., A = 4, B = 3, C...

*Thursday, September 15, 2016 by Ana*

**Calculus**

Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of the inverse function evaluated in 9] . I...

*Wednesday, September 14, 2016 by Mary*

**Pre-Calculus 11**

Two positive numbers x and 1-x add up to 1. Let the sum of their reciprocals be k. Find the only possible value of k such that x is a rational number. Hint: set up the equation and solve x with k in it. You'll encounter the quadratic formula in your solution.

*Wednesday, September 14, 2016 by Shawn*

**Pre-Calculus/Math**

a slow growing population of animals increases with time (years). the size of the population is given by P(t)=100+0.6t^2-0.004t^3. how fast is the population changing after 10 years?

*Wednesday, September 14, 2016 by Faye*

**Calculus integrals**

Suppose f(x)=∫ (from 0 to x) (t^2-36)/2+cos^2(t) dt. For what value(s) of x does f(x) have a local maximum?

*Tuesday, September 13, 2016 by byu*

**Calculus**

Hello all, I would like some confirmation on a limits question. The limit is as h --> 0, [sqrt [73-5(x+h)] - sqrt (73-5x)]/h I multiplied by the conjugate of the numerator and reduced everything down to this final answer: [(-5)sqrt(73-5x)]/2 Is this correct?

*Tuesday, September 13, 2016 by Tim*

**differential calculus**

A bulldozer costs $120,000 and each year it depreciates 8% of its original value. Find a formula(equation) for the value V of the bulldozer after t years.

*Tuesday, September 13, 2016 by christine*

**Calculus**

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 2 i + 6t j + 12t2 k, v(0) = i, r(0) = 2 j − 7 k

*Monday, September 12, 2016 by Anon*

**Calculus**

Find the tangential and normal components of the acceleration vector. r(t) = t i + t2 j + 4t k aT= aN=

*Monday, September 12, 2016 by Anon*

**Calculus**

I am sure this is the last time i am bothering you steve for today! you are very helpful. 1) I have to find the population density i which r is 0.2 apart and distance is 1.2km so there are total 7 values from 0 to 1.2 , i am taking right and left end-point approximations and ...

*Monday, September 12, 2016 by Asfand*

**Calculus**

The curves r1(t) = 5t, t^2, t^4 & r2(t) =sin t, sin 4t, 3t intersect at the origin. Find their angle of intersection, θ, correct to the nearest degree.

*Monday, September 12, 2016 by Anon*

**Calculus**

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 5 ln t, y = 8sqrt(t), z = t^5 (0,8,1) (x(t),y(t),z(t))=( )

*Monday, September 12, 2016 by Anon*

**Calculus**

Sir i need help in two questions, i am stuck ! 1) Calculate the population within a 7mile radius if the radialpopulation density is 6(3+r^2)^1/3 ? Use decimal notation and aswer should be in million. 2) Find the volume of solid obtained by rotating the region enclosed by y=x^2...

*Monday, September 12, 2016 by Asfand*

**Math**

In Marissa's calculus course, attendance counts for 10% of the grade, quizzes count for 20% of the grade, exams count for 55% of the grade, and the final exam counts for 15% of the grade. Marissa had a 100% average ...

*Monday, September 12, 2016 by Anonymous*

**Calculus**

Find the average interval of function 3x^3-12x^2 on the interval [-5,4]? My answer is 114.75 but when i put it on submission , it tell me that its wrong not sure why kindly help and tell me right answer

*Monday, September 12, 2016 by Asfand*

**Calculus**

Hello, I need help with this limit: Lim ((arctanx-x)/x^3) X->0 I can't use L'Hospital Rule or series. I don't get what to do. Can you give an idea?

*Monday, September 12, 2016 by Mary*

**Calculus**

Engr. Ramos is walking at the rate of 5m/sec along the diameter of of a circular courtyard. A light at one end of a diameter perpendicular to his path casts a shadow on the circular wall. How fast the shadow from the man to the center of the courtyard is 1/2 r ,where r is the ...

*Sunday, September 11, 2016 by Natasha*

**Calculus**

The function f relates state variables f:Q↦S according to a power function f(x)=Axp. For each state, give the corresponding equation involving the parameters A and p. (Q,S)=(6,11) implies ____=_____ (Q,S)=(5,19) implies ______=_____

*Sunday, September 11, 2016 by Terrance*

**Calculus 1**

sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is falling at a rate of 20cm^3/sec. How fast is the height of the sand pile increasing when it is 3cm high?

*Saturday, September 10, 2016 by ben*

**Calculus 1**

sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is falling at a rate of 20cm^3/sec. How fast is the height of the sand pile increasing when it is 3cm high?

*Saturday, September 10, 2016 by Khan*

**Pre-Calculus**

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the answer to two decimal places.

*Saturday, September 10, 2016 by Chris*

**Calculus**

The following equation defines y as a function of x. −5xy−3x=−6y

*Friday, September 9, 2016 by Zach*

**Calculus**

An airplane takes off from an airport at sea level and climbs at the constant rate of 5m/s . The outside air temperature T varies with altitude h according to the law T=15-0.0065h where T is measured in degree Celsius and h in meters above sea level . Find the rate of change ...

*Friday, September 9, 2016 by Anonymous*

**Calculus**

How do I solve this problem without integrals or derivatives? Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second. A. 154.8204 B. 156.1704 C. 159.9436

*Thursday, September 8, 2016 by Anonymous*

**Calculus integrals**

Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]

*Wednesday, September 7, 2016 by byu*

**Calculus**

I really need help. Create an appropriate table of values for the function f(x)=tan3x/7x and use the reslut to estimate lim as x approaches 0 tan3x/7x

*Wednesday, September 7, 2016 by Mary*

**Calculus**

An electric circuit switches instantaneously from a 5 volt battery to a 18 volt battery 3 seconds after being turned on. Sketch on a sheet of paper a graph the battery voltage against time. Then fill in the formulas below for the function represented by your graph. for t < ...

*Tuesday, September 6, 2016 by Jordan*

**Calculus**

a) Find parametric equations for the line through (4, 1, 4) that is perpendicular to the plane x − y + 2z = 7. (Use the parameter t.) b) In what points does this line intersect the coordinate planes? xy-plane? yz-plane? xz-plane?

*Monday, September 5, 2016 by Anon*

**Calculus**

Consider the following planes. 5x − 4y + z = 1, 4x + y − 5z = 5 a) Find parametric equations for the line of intersection of the planes. b) Find the angle between the planes

*Monday, September 5, 2016 by Anon*

**Calculus**

Find (a cross b)dot product a? & Find the cross product(a Ã— b) dot product b? a = 1, 1, −1 b = 4, 8, 10

*Monday, September 5, 2016 by Anon*

**Calculus**

I can not seem to get this right Find an equation of a sphere if one of its diameters has endpoints (5, 5, 5) and (7, 7, 7).

*Monday, September 5, 2016 by Anon*

**calculus**

If F(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and f '(6) = 6, find F '(1).

*Monday, September 5, 2016 by Sarah*

**math**

Y=Ax^2+Bx has agradient of 7 at the point (6,8) ,find the constant numbers of A and B ? *calculus*

*Monday, September 5, 2016 by A.rahman*

**Differential Calculus**

A water trough is 10 m long and a cross section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If trough is being filled with water at the rate of 0.2 m^3/min how fast is the water level rising when the ...

*Monday, September 5, 2016 by GRAY*

**Calculus**

Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x − 2y − 2z = 19

*Sunday, September 4, 2016 by ANON*

**calculus**

Determine the points in the interval (0, 2π) at which the graph of the function below has a horizontal tangent line. f(x) = 10 cos x + 5 sin 2x There should be three

*Sunday, September 4, 2016 by Sarah*

**calculus**

The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). f(-1)= 4 f'(x)=1 g(-1)=5 g'(-1)=-1/2 f(8)= 6 f'(x)= 2 g(x)= 2 g'(x)=-1/2 (a) Find h'(−1). (b) Find s'(8).

*Sunday, September 4, 2016 by Sarah*

**calculus**

If F(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and f '(6) = 6, find F '(1).

*Sunday, September 4, 2016 by Sarah*

**calculus**

Find the vertical tangents of f(x)=10 cos x + 5 sin 2x

*Sunday, September 4, 2016 by Sarah*

**Calculus**

Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(0, 1, 3), B(-2, 4, 5), C(1, 4, -3), ∠CAB = Â° ∠ABC = Â° ∠BCA = Â°

*Sunday, September 4, 2016 by ANON*

**Calculus**

State the domain and range of the function f(x) = 2sin(sqrt(3x-1)) + 3 Why is this so difficult?

*Saturday, September 3, 2016 by Linda*

**Calculus**

log base 4 of 8/log base 8 of 16 question is to simplify can you rewrite it this way? 4^x = 8 --------- 8^x = 16

*Saturday, September 3, 2016 by Linda*

**Calculus**

e^(1+2lnx) ----------- x^2 simplify

*Saturday, September 3, 2016 by Linda*

**Calculus**

If g(X) = 2+ln(x-5), find the inverse function, (g^(-1))(x) Solution: y = 2+ ln(x-5) e^y = 2 + x - 5 x = e^y + 3 y = e^x + 3 g^(-1) = y = e^x + 3 Is that right? I'm following an example - but don't really get it - how do I determine the domain and range - I know they ...

*Saturday, September 3, 2016 by Linda*

**Calculus**

Find the zero(es) of f(x) = (e^(7-2x)) - 1

*Saturday, September 3, 2016 by Linda*

**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 â€œfâ€ , â€œgâ€ :[ 0,1]→R are continuous functions, they are differentiable in (0,1), f(0)=0, g(0)=2 and │f â€˜ (x)│≤1...

*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 functionâ€™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 ...

*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=â€“10,y=â€“2,z=â€“3 c. x=3,y=10,z=â€“3 d. x=12,y=9,z=â€“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. Ã—>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*