Saturday
December 10, 2016

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
Could someone help with this limit problem? lim x-->1 of ((sqrt(6-x))-2)/((sqrt(10-x)-3)) I tried to rationalize the denominator and numerator but it didn't work!
Thursday, January 28, 2016 by Em

Calculus
Just wondering if anyone can help with this ln question! -Solve the following ln(x+1)+ln(x-1)=2 thanks!!
Thursday, January 28, 2016 by Sophie

Calculus
I don't know how to go about this question. The number of elephants in a park is estimated to be p(t)=7500/(1+749e^-0.15t) Where t is the time in years and t=0 corresponds to the year 1930. Find the inverse p(t) and the interpretation of that.
Thursday, January 28, 2016 by Lilly

Calculus
I don't know how to go about this question. The number of elephants in a park is estimated to be p(t)=7500/(1+749e^-0.15t) Where t is the time in years and t=0 corresponds to the year 1930. Find the inverse p(t) and the interpretation of that.
Thursday, January 28, 2016 by Lilly

calculus
Drug concentration is defined by; c(t)= 0.2t÷t^2+1 mg/cm^3...when is the concentration increasing/ decreasing (between 0 and 4hours)?
Wednesday, January 27, 2016 by cayla

calculus 2
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, x = 2, x = 6; about x = 1
Wednesday, January 27, 2016 by TayB

calculus 2
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ π/4; about y = −1
Wednesday, January 27, 2016 by TayB

calculus 2
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x^4, y = 3x, x ≥ 0; about the x-axis
Wednesday, January 27, 2016 by TayB

Calculus
Find the implicit differentiation for each. 1) x^2 = (x-y) / (x+y) 2) (x+y)^3 + (x-y)^3 = x^4 + y^4
Tuesday, January 26, 2016 by Maia

Calculus
A cylindrical jar of radius 5 cm contains water to a depth of 8 cm. the water from jar is poured at a constant rate into a hemispherical bowl. After t seconds, the depth of the water in the bowl is x cm and the volume, V of water is given as 1/3πh^2(18-h). Given that all ...
Tuesday, January 26, 2016 by RK

Calculus
Implicit Differentiation: Find dy/dx for each. Leave answers in terms of both x and y. 1) 1/y + 1/x = 1 + y^2 2) -(x^2 / y^2)
Monday, January 25, 2016 by Yani

Pre-Calculus
The question is "Find parametric equations for the line with the given properties: Slope -2, passing through (-10, -20)." I don't even know where to begin, or what to do. Please help! This is an example problem, not the main homework problem, I just need to know ...
Monday, January 25, 2016 by James

calculus 2
Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (3, 45), and the x-axis.
Monday, January 25, 2016 by TayB

calculus 2
Sketch the region enclosed by the given curves. Find its area. y=7cos pi x, y=12x^2-3
Monday, January 25, 2016 by TayB

Pre-Calculus
Two cities are due north of each other. One city has a latitude of 32¢ª45'12" and the second city has a latitude of 51¢ª12'45". Assuming that the earth is a sphere with a radius of 4000 miles, how far apart are the two cities?
Sunday, January 24, 2016 by Rhodora

Calculus
Please help me find the limit: lim x--> 2 ((1/3)-1/sqrt(x))/)x-9)
Sunday, January 24, 2016 by Sally

Calculus
What is the first derivative of the following function: f(x) = a^(-bx)? (I am lost with this question)
Sunday, January 24, 2016 by Leo

Pre-Algebra Calculus
NEED HELP PLEASE Mixture Problems 1.Joe created a metal containing 40% platinum by combining two other metals. One of these other metals weighed 12 lb. and contained 45% platinum. If the other weighed 3 lb. then what percent of it was platinum? 2. 12 gal. of a saline solution ...
Saturday, January 23, 2016 by michele

Calculus
Suppose that 5 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 36 cm. (a) How much work is needed to stretch the spring from 32 cm to 34 cm? (Round your answer to two decimal places.) (b) How far beyond its natural length will a force of...
Saturday, January 23, 2016 by Kaitlyn

calculus 2
Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y = 8x^2− 3x, y = x^3−8x+ 2
Friday, January 22, 2016 by TayB

calculus 2
The birth rate of a population is b(t) = 2000e^0.022t people per year and the death rate is d(t)= 1460e^0.017t people per year, find the area between these curves for 0 ≤ t ≤ 10. (Round your answer to the nearest integer.)
Friday, January 22, 2016 by TayB

calculus 2
Find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (1, 3), and the x-axis.
Friday, January 22, 2016 by TayB

Calculus
Which of the following integrals correctly computes the volume formed when the region bounded by the curves x^2 + y^2 = 100, x = 6, and y = 0 is rotated around the y-axis? I've narrowed it down to either pi∫(sqrt(100-y^2)-6)^2 dy or pi∫(sqrt(100-y^2)^2-6^2) dy ...
Friday, January 22, 2016 by John

Calculus
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. I'm supposed to use this equation right? piR^2-x^r^2. and then change y=x^2 to x=sqrty. That's all I got.
Friday, January 22, 2016 by John

Calculus
Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions with equal area. Give your answer correct to 3 decimal places.
Friday, January 22, 2016 by John

pre calculus
The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 218 miles today. Each of your wheels is going to turn by an angle of how many degrees? Hint: A mile has 5280 feet, a foot has 12 inches, and the circumference of a circle with a ...
Thursday, January 21, 2016 by Dunni

pre calculus
You are building a (rectangular) pool in your backyard. It measures 30m in the north-south direction and 25 meters east-west. (Some pool!) The bottom of the pool is a slanted plane so that it's 1m deep along the southern edge and 10m deep along the northern edge. (As I ...
Thursday, January 21, 2016 by Dunni

Calculus
Hello, could somebody please help me out with the following question? I would greatly appreciate some assistance. Find all values of x in the interval [0, 2π] that satisfy the equation 3|tanx(x)|=3
Thursday, January 21, 2016 by Constantine

Calculus
Let f(t)=(1)/(t) Find a value of t such that the average rate of change of f(t) from 1 to t equals 14. t= ____
Thursday, January 21, 2016 by Kendra

Calculus
Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 18 + 9 cos(2x) = 27 cos(x)
Wednesday, January 20, 2016 by Riwo

Pre-calculus
A rectangular package to be sent by a delivery service can have a maximum combined length (y) and girth (perimeter of its cross section) of 300 inches. Assume that the width and height are the same (x). Find the equation for the volume of the box in terms of x alone as an ...
Wednesday, January 20, 2016 by Anonymous

Pre-calculus
A rectangular package to be sent by a delivery service can have a maximum combined length (y) and girth (perimeter of its cross section) of 300 inches. Assume that the width and height are the same (x). Find the equation for the volume of the box in terms of x alone as an ...
Wednesday, January 20, 2016 by Anonymous

Differential Calculus
Determine all local extrema, concavity and inflection point/s for y = -2cos(x) in (0, 2Pi). Test by both First Derivative Test and Second Derivative Test and sketch the graph.
Wednesday, January 20, 2016 by Sel

Calculus
Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks! calculus - Reiny, Monday, January 18, 2016 at 9:02pm to get you going: let P(a , e^a) and Q(b, lnb) be the ...
Tuesday, January 19, 2016 by Samuel for Reiny

Math CALCULUS HELP PLEASE
Tidal volume is the volume of air displaced in the lungs between inhalation and exhalation (the amount of air in a breath). The residual volume is given by the amount remaining in the lungs even after the deepest exhalation (i.e. the minimum amount of air remaining in the ...
Tuesday, January 19, 2016 by Brad

Calculus
The table below shows some values of a linear function f and an exponential function g. Fill in exact values for each of the missing entries. X 0 1 2 3 4 f(x) 25 375 g(x) 25 375
Tuesday, January 19, 2016 by Leanna

Calculus
Suppose that f(t)=Qoa^1=Qo(1+r)^t with f(4)=72.2 and f(10)=176.7. Find what a is and what r is.
Tuesday, January 19, 2016 by Leanna

Calculus
Use the identity sin^2x+cos^2x=1 and the fact that sin^2x and cos^2x are mirror images in [0,pi/2], evaluate the integral from (0-pi/2) of sin^2xdx. I know how to calculate the integral using another trig identity, but I'm confused about how to solve this one.
Tuesday, January 19, 2016 by Rostrastics

Calculus
Evaluate using substitution ∫(2x^5+6x)^3(5x^4+3)dx where b=0 and a=-1 I got to here and then got stuck u=5x^4+3 du=x^5+3x+C ∫(2x^5+6x)^3 u 1/(x^5+3x+C) ∫(x^5+3x)^3 u
Tuesday, January 19, 2016 by John

Calculus
Find the interval on which the curve of ∫ 6/(1+2t+t^2) where b=0 and a=x is concave up. Heres my work but im not sure at all g '(x) = 6/(1+2x+x^2) g ''(x) = -(2+2x)/[(1+2x+x^2)^2] upward when g ''(x) > 0. - (2+2x) > 0 x < -1
Tuesday, January 19, 2016 by John

Calculus
Graph the curve. Find the exact length of the curve. x = 2et cos(t), y = 2et sin(t), 0 ≤ t ≤ π
Tuesday, January 19, 2016 by Kaitlyn

prepositional calculus
Convert the following formula to conjunctive normal form (clause form). a) a ≡ (b ≡ c) is the answer (a כ(( b כ c) ^ (c כ b))) ^ ((( b כ c) ^ (c כ b)) כ a) unsure thanks
Monday, January 18, 2016 by melvin

calculus
Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks!
Monday, January 18, 2016 by Samuel

Calculus
Use the identity sin^2x+cos^2x=1 and the fact that sin^2x and cos^2x are mirror images in [0,pi/2], evaluate the integral from (0-pi/2) of sin^2xdx. I know how to calculate the integral using another trig identity, but I'm confused about how to solve this one.
Monday, January 18, 2016 by Andre

Calculus
Describe the Domain of the Function: F(x)= 2x/(x-2)(x-1) The domain of the function consists of all real numbers x except ____?
Monday, January 18, 2016 by Dominick

Math-Calculus
a spring has a natural length of 20meters. a) find the work required to stretch the spring from 20m to 30m b) from 30m to 40m c) how is the work from part a and part b related?
Monday, January 18, 2016 by zaxoanl

Calculus/ Application Of Derivative
If a fluid enters a hemisperical vat with a radius of 10 meter, at a rate of 0.5cubic meter per minute, how fast will the fluid be rising when the depth is 5 meter
Sunday, January 17, 2016 by Anonymous

Calculus
Consider the following function. f(x) = (2 − x)^(e^−x) (a) Find the intervals of increase or decrease. (b) Find the intervals of concavity. (c) Find the point of inflection. (x, y) =
Sunday, January 17, 2016 by Fisher

Calculus,Stationary Points,First derivative test
Good afternoon, I need a bit of help. So ive got my first derivative which is 6x^2-6x-12 and the stationary points ive found are x=-1 and x=2 at which points the value of the derivative is zero. So im attempting to classify the points. From my derivative tests the value of -2 ...
Sunday, January 17, 2016 by Mat

Calculus
(3) Suppose that f : R2 → R is a continuous function at x0 ∈ R2 and that |f(x0)| > 2. Show that there is a $ > 0 such that |f(x)| > 2 whenever ||x − x0|| < $.
Sunday, January 17, 2016 by Alice

Calculus
Examine the continuity of f : R2 → R at (0; 0), where for all (x; y) ∈ R2, 1.)f(x; y) := {xy cos(1/x) if x ̸= 0; 0 if x = 0:} 2.)f(x; y) := {1 if x > 0 & 0 < y < x2; 0 otherwise:}
Sunday, January 17, 2016 by Elina

Calculus
How do I solve e^(ax) = Ce^(bx), when a does not equal b? I know the answer has something to do with natural log, and that a has to be connected to b and c, but I don't know what.
Saturday, January 16, 2016 by Chunky

calculus 1
The point P(2,-1) lies on the curve y=1/(1-x) If Q is the point (x, 1/(1-x) find slope of secant line. these are the points 2, -1 1.5,2 1.9,1.111111 1.99,1.010101 1.999,001001 2.5,0.666667 2.1,0.909091 2.01,0.990099 2.001,0.999001 using the results from the points guess the ...
Saturday, January 16, 2016 by feather

Calculus
1. Use the Mean Value Theorem to find an x-value where the instantaneous slope=average slope over the given interval: f(x)=(9-x^2)^(1/2) on [-3,2] I have done three chapters of Calculus already and I never have had to check for extraneous roots. So, my question is, when ...
Saturday, January 16, 2016 by Isabella

pre-calculus
y=tanx -2π≤x≤2π y=cotx -2π≤x≤2π y=cscx -2π≤x≤2π y=secx -2π≤x≤2π
Friday, January 15, 2016 by Reina Bonilla

Calculus plz help!!!
Integrate:Root(1+root(x))/x
Friday, January 15, 2016 by Daniel

Calculus help
Y=|X^2+3x-4| find dy/dx?
Friday, January 15, 2016 by Emmanuel

calculus 1
The point P(2,-1) lies on the curve y=1/(1-x) If Q is the point (x, 1/(1-x) find slope of secant line. these are the points 1.5 1.9 1.99 1.999 2.5 2.1 2.01 2.01 2.001 when i calculated it i got a negative number 1/(1-1.5)=-2 but the answer is 2. also would the points be (1.5, ...
Thursday, January 14, 2016 by feather

Calculus AB
The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the resulting possible error in the volume of the cylinder? Include units in your answer. r = 4 in. h = 12 in. V = pi*r^2 * h = 3.14*4^2 * 12 = ...
Thursday, January 14, 2016 by Vik

Calculus AB
Use the table below to evaluate d/dx [f[g(2x)]] at x = 1 x 1 2 3 4 f(x) 6 1 8 2 f '(x) 6 1 8 2 g(x) 1 4 4 3 g '(x) 9 5 5 -4 I don't know how to continue with this question. i know [g(2x)]=8...pretty sure
Wednesday, January 13, 2016 by Vik

Calculus
Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help. Calculus - Steve, Tuesday, January 12, 2016 at 12:45am 1/2 ∫ 1/(sin(x/2)cos(x/2))dx ...
Tuesday, January 12, 2016 by Andre-Steve, please reply

Math (Calculus - Limits)
Find the constant c so that lim x->8 x^2+2x+c/x^2-15x+56 exists. For that value of c, determine the limit. (Hint: Find the value of c for which x-8 is a factor of the numerator). I understand that I should set (x-8)(x+b) equal to x^2+2x+c but all the variables are getting ...
Tuesday, January 12, 2016 by Charlotte

calculus
It is estimated that t years from now, the value of a small piece of land, V(t), will be increasing at a rate of 1.6t^3/(0.2t^4+8100)^(1/2)dollars per year. The land is currently worth $420. Find V(t) and also find the value of the land after 10 years to the nearest cent.
Tuesday, January 12, 2016 by beth

Calculus AB
If f(x) = |(x^2 - 6)(x^2 + 2)|, how many numbers in the interval 1 ≤ x ≤ 2 satisfy the conclusion of the mean value theorem? None One Two Three Not sure where to start. Like my previous question, I don't have a book or help from my teacher.
Tuesday, January 12, 2016 by Vikram

Calculus AB
If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that f(c) = 0 f '(c) = 0 f (c) = 5 f '(c) = 5 Not really sure where to start here. No textbook and my teacher never explained it
Tuesday, January 12, 2016 by Vikram

Calculus
What airspeed and direction should an airplane maintain in order to continue having a ground speed of 800 km/h and a direction of 140° with wind at 130 km/h at 27°?
Tuesday, January 12, 2016 by Geoff

Calculus help!!!
X^2y+sinxy=e^xy i need solution plz
Tuesday, January 12, 2016 by Daniel

Calculus
A manufacturer of a certain brand of appliance estimates that he can sell 5000 units a year at Php 900.00 each and that he can sell 1500 units more per year for each Php 100.00 decrease in price? What price per unit will give the greatest returns?
Tuesday, January 12, 2016 by En

Calculus
Since f(x)=√(x-3) has an absolute minimum of 0 does its critical point exist? I'm really confused because someone mentioned that f(x)=√(x+3) does not have a critical point. Does that mean that if there is an end point there, there can't be a critical point?
Tuesday, January 12, 2016 by Isabella

calculus
Suppose f is a function of x. 1) find d/dx f^2 2)use the result to find the integral ∫ lnx/xdx. I did 1), and I got 2fdf, but im confused about number 2.
Monday, January 11, 2016 by Jacob

Calculus
Find all points on the graph of the function f(x) = 2 cos(x) + (cos(x))2 at which the tangent line is horizontal. Consider the domain x = [0,2π). I have pi/2 and 3pi/2 for x values. But when I plug them I get zero. Is this correct as y values or am I solving it wrong? I ...
Monday, January 11, 2016 by Calculus

Calculus
Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help.
Monday, January 11, 2016 by Andre

Calculus AB
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x(1/3) + 6x(4/3). You must justify your answer using an analysis of f '(x) and f "(x). My start to a solution: x-values: (-1/8) and (-1/4) I got -1/8 from f'(x)- ...
Monday, January 11, 2016 by Vikram

Calculus AB
What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give ...
Monday, January 11, 2016 by Vikram

Calculus
For the following function, find the relative max's or min's using any method. I'm having a hard time finding the critical points...
Sunday, January 10, 2016 by Isabella

Calculus
For the function below, determine the intervals of concavity: f(x)=xlnx I tried doing it but the second derivative would always be f''(x)=1/x, so it would be concave up at x>0 and concave down at x<0, which is wrong. Also, for the function below, determine the ...
Sunday, January 10, 2016 by Isabella

calculus
Find a cubic function y = ax3 + bx2 + cx + d whose graph has horizontal tangents at the points
Saturday, January 9, 2016 by Kyle

Physics with Calculus
qsub1:-2.8uC qsub2: 6.6uC qsub2 sits 7.9 cm away from qsub2, and in a previous question moved up the y axis 2.7cm. The question that I am having difficulty with has added qsub3 in the middle of of qsub1 and qsub2, changing the magnitude of Fsub2net= 7.954. What is the sign and...
Saturday, January 9, 2016 by Jessica

Calculus @ Henry
I worked some on this earlier, and botched it a bit, so here goes again. A water tank is made by rotating f(x)=2^x-1 between [0,2] about the y-axis. The water tank is initially full, when a hole is opened at the bottom tip so that the water drains at a rate of 4 unit^3/second...
Friday, January 8, 2016 by Steve

Calculus
The side of a square is measured to be 10 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the calculated area. Include units in your answer.
Friday, January 8, 2016 by Mel

Calculus
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 16cm and a height of 8cm, at the rate of 4 cm^3/min. At what rate is the depth of the water changing at the instant when the water in the tank is 6 cm deep? Show all work and include ...
Friday, January 8, 2016 by Mel

Calculus
The position function of a particle in rectilinear motion is given by s(t) = 2t^3 – 21t^2 + 60t + 3 for t ≥ 0. Find the position and acceleration of the particle at the instant the when the particle reverses direction. Include units in your answer.
Friday, January 8, 2016 by Mel

Calculus
What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give ...
Friday, January 8, 2016 by Mel

Calculus
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x^(1/3) + 6x^(4/3). Please use an analysis of f ′(x) and f ′′(x).
Friday, January 8, 2016 by Mel

calculus
A wire along 1 meter is divided into three parts . The first part is formed into a circle , the second part is formed into an equilateral triangle , and the third part is formed into a square . Determine the size of each section so that the total area of the three wake formed ...
Friday, January 8, 2016 by jon

Calculus
A water tank is made by rotating f(x)=2^x-1 between [0,2] about the y-axis. The water tank is initially full, when a hole is opened at the bottom tip so that the water drains at a rate of 4 unit^3/second. How fast is the height of the water decreasing when the height has ...
Friday, January 8, 2016 by Henry

Another Calculus help plz
Integrate:( dx/root(x^2-4x)^3 help me show it solution
Tuesday, January 5, 2016 by Collins

Calculus help plz
Integrate:(K+1/k^2+4k+8)dx
Tuesday, January 5, 2016 by Collins

Calculus
Which of the following integrals represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10? a) pi*∫from (8-1) of (10-y)(2-y^(1/3))dy b) pi*∫ from (1-2) of (81-(10-x^3)^2)dx c)2pi*∫from (1-8) of y(2-y...
Monday, January 4, 2016 by Fred

calculus
the region bounded by the graph f(x)=x(2-x) and the x axis is revolved about the y axis. Find the volume of the solid. I did the integral using the shell method, but the answer wasn't correct.
Monday, January 4, 2016 by john

Calculus
Find the volume generated by rotating about the x axis the area bounded by x=0, y=2sinxcosx,, y=2cosx, and x=4, if 0≤x≤pi/2. I don't get the graph.
Monday, January 4, 2016 by Andre

Calculus help plz i do not no it at all
Integrate: xrootof(2+3.fourth rootof(x^3)/x^6.root(x) plz help i do not no it at all show working!!
Monday, January 4, 2016 by Collins

Calculus
A ball is thrown straight up from the top of a hill 30 feet high with an initial velocity of 72ft/sec. How high above level ground will the ball get? (Objects subjected to gravity adhere to s(t) = -16t^2 + v0t + so where s is the height of the object in feet v0 is the initial ...
Monday, January 4, 2016 by Help

Another Calculus help plz
Show that if y=tanx/2 dy/dx=1/sinx
Monday, January 4, 2016 by Collins

Calculus help plz
Integrate:cosmxcosnx.dx if m=n i can not solve it i have tried my best but to no avail
Monday, January 4, 2016 by Collins

Calculus
A thin plate lies in the region between the circle x^2+y^2=4 and the circle x^2+y^2=1 above the x axis. Find the centroid. For the second part, same question except the region in the first quadrant instead of above x axis. For part a, I figured out bar x is 0, and I tried to ...
Sunday, January 3, 2016 by Andre

Calculus pz help urgently
Integrate:sinxcos(x-1/4.pi)dx
Sunday, January 3, 2016 by Collins

Calculus
Last one for me. Evaluate (3x^2)/sqrt(1-x^6) dx I changed sqrt (1-x^6) into 1^(1/2)- x^(3) and let u=1^(1/2)- x^(3) then I got du/dx=3x^2 and subbed dx=du/3x^2 into the equation and got x-(x^4/4) but its not right. Options 7x^3/(3sqrt(1-x^7) + C cos-1(3x) + C sin-1(x^3) + C ...
Saturday, January 2, 2016 by Henry

Calculus
Which of the following integrals cannot be evaluated using a simple substitution? I think it is A because if you would substitute there would be nothing left in the equation? Is that right? Options ∫√(x-1) ∫1/√(1-x^2) ∫x/√(1-x^2) ∫&#...
Saturday, January 2, 2016 by Henry

Calculus
∫(x^3-x^2)/x^2 I got (x^2)/(2)-x + C but that's not one of the answers Options x - 1 + C (x^2/2)-(x^3/3) + C (x^4-x^3)/4x^2 + C (x^2/2) -x + C
Saturday, January 2, 2016 by Henry

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Homework Help: Math