Tuesday

July 7, 2015

July 7, 2015

**Calculus**

Water is leaking out of an inverted conical tank at a rate of 0.0142 m3/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 13 meters and the diameter at the top is 3.5 meters. If the water level is rising at a rate of 0.17 m/min ...
*Monday, March 23, 2015 by Aggie123*

**Calculus**

A spherical balloon is inflated so that its volume is increasing at the rate of 3.2 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.2 feet?
*Monday, March 23, 2015 by Aggie123*

**Calculus **

The half-life of Kryponite-123 is 40 years. Suppose we have a 700-mg sample. Find the decay k, and the expected amount of Kryptonite left after 30 years. I need help setting this problem up.
*Monday, March 23, 2015 by Ryan kustin*

**Calculus **

a bottle of water with temperature 70 F is placed in a refrigerator with an internal temperature of 34 F. After 30 minutes, the temperature of the water has decreased to 52 F a)Give the cooling constant k(6th decimal place), and find an expression for the temperature of the ...
*Monday, March 23, 2015 by Ryan kustin*

**Calculus **

the population of deer in a certain area of cabarrus county grows proportional to itself. the population of deer in 2000 was found to be 45, and by 2008 the population had grown to 65. Find the growth constant k(rounded to 6 decimal places), and the expected deer population in...
*Monday, March 23, 2015 by Ryan kustin*

**Calculus Linearizations**

Use this observation and the linear approximation to estimate (15.9)^1/2 I know the answer is 3.9875, I just need someone to explain the steps so I can do problems similar to this one.
*Sunday, March 22, 2015 by Ryan kustin*

**related rates calculus 1 **

gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10ft
*Sunday, March 22, 2015 by Ryan kustin*

**Pre-Calculus**

Rewrite each quadratic equation in the form ax^2+bx+c=0. Then,use technology to solve each by graphing. ROund you answers to the nearest hundredth, where necessary. a) 3x^2+30 = -19x Answer: 3x^2+19x+30 Roots: x = -3 b) 6x^2= 25x-24 Answer: -6x^2+25x-24=0 Roots: x = 1.5 c) -33...
*Saturday, March 21, 2015 by Lucina*

**Calculus**

suppose that a tumor on a person's body is spherical in shape. if the radius of the tumor is 0.5cm the radius is increasing at the rate of 0.001cm per day. what is the rate of increasing volume of that tumor at that time?
*Saturday, March 21, 2015 by Jam*

**Calculus 1**

If two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R, measured in ohms (Ω), is given by 1/R= 1/R1+ 1/R2. If R1 and R2 are increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast is ...
*Saturday, March 21, 2015 by TayB*

**Calculus 1**

Water is leaking out of an inverted conical tank at a rate of 12,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the ...
*Saturday, March 21, 2015 by TayB*

**Calculus 1**

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 7 ft high?
*Saturday, March 21, 2015 by TayB*

**Calculus**

Let f(x)=−x^4−8^x3+5^x+2. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x =
*Friday, March 20, 2015 by Emily*

**Calculus **

Find constants a and b in the function f(x)=(ax^b)ln(x) such that f(1/5)=1 and the function has a local minimum at x=1/5.
*Friday, March 20, 2015 by Emily*

**Calculus **

Find constants a and b in the function f(x)=axbln(x) such that f(15)=1 and the function has a local minimum at x=15.
*Friday, March 20, 2015 by Emily*

**pre-calculus**

Use the rational root theorem with polynomial division if needed to find all the zeroes of: P(x)=2x^4-3x^3+3x^2+5x-3.
*Friday, March 20, 2015 by kristen*

**Calculus AB: Area Between Curves**

Hello! I'm having trouble understanding how I'm supposed to work out this problem. Any help would be appreciated! Find the area of the region bounded by the curve y = f(x) = x3 – 4x + 1 and the tangent line to the curve y = f(x) at (–1,4).
*Wednesday, March 18, 2015 by Pax*

**Pre-Calculus**

Determine a quadratic function with this set of characteristics. x-intercepts of 2 and 7 and maximum value of 25 ( How would I find the x-coordinate for the vertex?) (Thank you!)
*Tuesday, March 17, 2015 by Lucina*

**Calculus**

Find the area of the shaded region below. x=(y^2)-2 x=e^y y=1 y=-1 I was doing a horizontal split so I had the integral from -1 to 1 (y^2-2)-e^y dy and had the answer -5.683... and it's wrong. What am I doing wrong?
*Tuesday, March 17, 2015 by Angela*

**Calculus**

1.) Consider the graphs x+5y=17 and x+7=y^2 where a=7 b=2 c=57 f(x) = ? g(x) = ? I have solved for a,b, and c but I can't figure out f(x) and g(x) For f(x) I thought it was (17-x)/5 but it's not the correct answer. For g(x) I thought it was the sqrt(x+7) but it's ...
*Tuesday, March 17, 2015 by Annie*

**Calculus **

Snacks will be provided in a box with a lid (made by removing squares from each corner of a rectangular piece of card and then folding up the sides) link to image imageshack com /a/img661/6094/fZUQXg.jpg You have a piece of cardboard that is 40cm by 40 cm – what ...
*Tuesday, March 17, 2015 by Pre Calculus *

**Calculus **

The ride has 100 metres of fencing to make a rectangular enclosure as shown. link for the image imageshack com /a/img909/2881/WTnncK.jpg It will use existing walls for two sides of the enclosure, and leave an opening of 2 metres for a gate. a Show that the area of the ...
*Tuesday, March 17, 2015 by Pre Calculus *

**CALCULUS**

If the local linear approximation of f(x) = 3sin x + e3x at x = 2 is used to find the approximation for f(1.9), then the % error of this approximation is
*Tuesday, March 17, 2015 by KRISTAL*

**Integral Calculus**

Find Mx, My, and (x, y) for the lamina of uniform density ρ bounded by y=1/2x ,y>0 x=2
*Tuesday, March 17, 2015 by pao09*

**Calculus**

Compute dy/dx using the chain rule. y = (u/4) + (4/u) u = (x - x^7) dy/dx =
*Tuesday, March 17, 2015 by Henry*

**Pre-Calculus**

1. A projectile is fired straight up from a height of 6 feet. Its height (h) in feet after t seconds is given by h = 6 + 192t -16t^2. Answer: h = -16t^2 + 192t + 6 h = -16( t^2 -12t +36) + 6 +576 h = -16 (t-6)^2 +582 The maximum height will be 582 feet. 2. The path of a ...
*Monday, March 16, 2015 by Lucina*

**calculus trigonometric substitution**

∫ dx/ (x^2+9)^2 dx set x = 3tan u dx = 3 sec^2 u du I = 3 sec^2 u du / ( 9 tan^2 u + 9)^2 = 3 sec^2 u du / ( 81 ( tan^2 u + 1)^2 = sec^2 u du / ( 27 ( sec^2 u )^2 = du / ( 27 sec^2 u = 2 cos^2 u du / 54 = ( 1 + cos 2u) du / 54 = ( u + sin 2u / 2) / 54 = ( arctan x/3 + ...
*Monday, March 16, 2015 by Blake*

**calculus**

find a projectile fired with an initial velocity of 128 feet per second at an angle of 26 degrees
*Monday, March 16, 2015 by Anonymous*

**calculus**

a 50 m long chain hangs vertically from a cylinder attached to a winch. assume there is no friction in the system and that the chain has a density of 5 kg/m. how much work is required to wind the entire chain onto the cylinder using the winch
*Monday, March 16, 2015 by anto*

**Calculus**

Determine the slope of the tangent to the function f(x)=5e^x - 2e^(2x) at the point with x-coordinate x=1
*Monday, March 16, 2015 by Sara*

**Calculus 2 Trigonometric Substitution**

I'm working this problem: ∫ [1-tan^2 (x)] / [sec^2 (x)] dx ∫(1/secx)-[(sin^2x/cos^2x)/(1/cosx) ∫cosx-sinx(sinx/cosx) ∫cosx-∫sin^2(x)/cosx sinx-∫(1-cos^2(x))/cosx sinx-∫(1/cosx)-cosx sinx-∫secx-∫cosx sinx-sinx-&#...
*Sunday, March 15, 2015 by Janice*

**Calculus**

For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite Thanks.
*Sunday, March 15, 2015 by Anonymous*

**Calculus check**

A function f(x) is continuous for all x and has a local minimum at (1,8). Which must be true? A. f'(1)=0 B. f' exists at x=1 C. The graph is concave up at x=1 D. f'(x) is less than 0 if x is less than 1, f'(x) is greater than 0 if x is greater than 1 E. f'...
*Sunday, March 15, 2015 by Anonymous*

**Please check my calculus**

A conical tank has a height that is always 3 times its radius. If water is leaving the tank at the rate of 50 cubic feet per minute, how fast if the water level falling in feet per minute when the water is 3 feet high? Volume of a cone is V=1/3(pi)r^2h A. 1.000 B. 5.305 C. 15...
*Sunday, March 15, 2015 by Anonymous*

**calculus check**

If siny=cosx, then find dy/dx at the point (pi/2, pi) A. -1 B. 0 C. 1 D. pi/2 E. None of these I got C
*Sunday, March 15, 2015 by Sarah*

**calculus **

1.) Find the derivative of ((x + 3)/e^x) ^ (Log e X) 2.) T/F (log e X)' = (log e |x|)' 3.) T/F (Log e 7x)' = (log e x)' 4.) Find the derivative of e^(log e 7x)
*Sunday, March 15, 2015 by Alex*

**Calculus check**

Let f(x) be a polynomial function such that f(3)=3, f'(3)=0 and f"(3)=-3. What is the point (3,3) on the graph y=f(x)? A. Relative maximum B. Relative minimum C. Intercept D. Inflection point E. None of these I got C
*Sunday, March 15, 2015 by Sarah*

**Please check my calculus**

If x^2+xy-y=2, find dy/dx My answer: (2x+y)/(1-x)
*Sunday, March 15, 2015 by Anonymous*

**Calculus check**

Given f(x)=x^4(2x^2-15). On what interval(s) is the graph of f concave upwards? A. (0, sqrt(3)) B. (-sqrt(3), 0) C. (-sqrt(3), 0) and (0, sqrt(3)) D. (-sqrt(3), sqrt(3)) E. (Negative infinity, -sqrt(3)) and (sqrt(3), infinity) I got E
*Sunday, March 15, 2015 by Sarah*

**calculus**

The graph of the function y=x^5-x^2+sinx has a point of inflection at x= a. 0.324 b. 0.499 c. 0.506 d. 0.611 e. 0.704 Thanks.
*Sunday, March 15, 2015 by John*

**Calculus**

For f(x)=x^2/3(x^2-4) on [-2,2] the "c" value that satisfies the Rolle's Theorem is A. 0 B. 2 C. +or-2 D. There is no value for c because f(0) does not exist E. There is no value for c because f(x) is not differentiable on (-2,2)
*Sunday, March 15, 2015 by Anonymous*

**Calculus check**

An equation of the line tangent to y=sinx+2cosx at (pi/2, 1) is A. 2x-y=pi-1 B. 2x+y=pi+1 C. 2x-2y=2-pi D. 4x+2y=2-pi I got A
*Sunday, March 15, 2015 by Sarah*

**Calculus check**

The smallest slope of f(x)=6x^2-x^3 for 0 is less than or equal to x is less than or equal to 6 occurs at x= A. 0 B. 2 C. 3 D. 4 E. 6 I got E
*Sunday, March 15, 2015 by Sarah*

**Calculus**

Let f be a function such that the limit as h approaches 0 [(f(5+h)-f(5))/h]=4. Which of the following must be true? I. f(5)=4 II. f'(5)=4 III. f is continuous at x=5 A. I only B. II only C. III only D. I and II only E. II and III only
*Sunday, March 15, 2015 by Anonymous*

**Calculus check**

The limit as x approaches 1 (x^3-1)/(x^2-1) is I got 3/2
*Sunday, March 15, 2015 by Sarah*

**calculus**

What is the limit, as x approaches 1, of (sqrt(x) - 1)/(x - 1)? I need to show work, but I know the answer is 3/2, because I confirmed with a TI-89.
*Sunday, March 15, 2015 by John*

**Calculus**

If f'(x)=sinx and f(pi)=3, then f(x)= A. Cosx+4 B. Cosx+3 C. -cosx+2 D. -cosx-2 E. -cosx+4
*Sunday, March 15, 2015 by Anonymous*

**Please check my Calculus**

f(x)=x^n , where n is a positive integer greater or equal to 2. The graph of f(x) will have an inflection point when n is A. Even B. Odd C. Divisible by 3 D. For all values E. For no values I got B.
*Sunday, March 15, 2015 by Anonymous*

**Calculus check**

Find the equation of the line tangent to y=tan2x at x=pi/8 A. y-1=sqrt(2)(x-pi/8) B. y-1=1/2(x-pi/8) C. y-1=1/4(x-pi/8) D. y-1=2(x-pi/8) E. y-1=4(x-pi/8) I got A
*Sunday, March 15, 2015 by Sarah*

**Calculus**

If f(x) is a continuous function with f"(x)=-5x^2(2x-1)^2(3x+1)^3 , find the set of values for x for which f(x) has an inflection point. A. {0,-1/3,1/2} B. {-1/3,1/2} C. {-1/3} D. {1/2} E. No inflection points
*Sunday, March 15, 2015 by Anonymous*

**Calculus**

The integral of sqrt(x)(sqrt(x)+1) dx A. 2(x^3/2+x)+c B. x^2/2+x+c C. 1/2(sqrt(x)+1)^2+c D. x^2/2+2x^3/2/3+c E. x+2sqrt(x)+c
*Sunday, March 15, 2015 by Anonymous*

**Calculus**

Given the function f(x)= sqrtx a) Let M= f´´(50) and N=f''(49). Argue on that f´´(x) lies between M og N if x =]49,50[ (Tip: show that f´´(x) is increasing function, that is look at f´´´(x)). b) Use the numbers from...
*Sunday, March 15, 2015 by Calculus*

**Calculus**

If y=3x-7, x is greater than 0, what is the minimum product of x^2y? A. -5.646 B. 0 C. 1.556 D. 2.813 E. 4.841
*Sunday, March 15, 2015 by Anonymous*

**Calculus**

If the limit as x approaches infinity (6x^2/200-4x-kx^2)=1/2, then k= A. 3 B. -3 C. 12 D. -12 E. -3
*Sunday, March 15, 2015 by Anonymous*

**Calculus**

A conical tank has a height that is always 3 times its radius. If water is leaving the tank at the rate of 50 cubic feet per minute, how fast if the water level falling in feet per minute when the water is 3 feet high? Volume of a cone is V=1/3(pi)r^2h A. 1.000 B. 5.305 C. 15....
*Sunday, March 15, 2015 by Anonymous *

**Calculus check**

Given f(x)=4+3/x find all values of c in the interval (1,3) that satisfy the mean value theorem. A. 2 B. Sqrt(2) C. Sqrt(3) D. +or- sqrt(3) E. MVT doesn't apply I got C
*Saturday, March 14, 2015 by Sarah*

**Calculus**

For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite
*Saturday, March 14, 2015 by Anonymous*

**Calculus**

if f'(x)=2(3x+5)^4 , then the fifth derivative of f(x) at x=-5/3 is A. 0 B. 144 C. 1,296 D. 3,888 E. 7,776 I got A
*Saturday, March 14, 2015 by Sarah*

**Calculus**

A function f(x) is continuous for all x and has a local minimum at (1,8). Which must be true? A. f'(1)=0 B. f' exists at x=1 C. The graph is concave up at x=1 D. f'(x) is less than 0 if x is less than 1, f'(x) is greater than 0 if x is greater than 1 E. f'(...
*Saturday, March 14, 2015 by Anonymous*

**Calculus**

The circumference of a circle is increasing at a rate of 2pi/5 inches per minute. When the radius is 5 inches, how fast is the area of the circle increasing in square inches per minute? A. 1/5 B. pi/5 C. 2 D. 2pi E. 25pi
*Saturday, March 14, 2015 by Anonymous*

**Calculus check**

If f(5)=3 and f'(5)=-2, find the derivative of x^2f(x) at x=5. A. 0 B. -18 C. -12 D. -20 E. -80 I got D
*Saturday, March 14, 2015 by Sarah*

** Calculus**

The normal (perpendicular) line to the curve y=sqrt(8-x^2) at (-2,2) has slope A. -2 B. 1/2 C. -1/2 D. 1 E. -1 I got A
*Saturday, March 14, 2015 by Sarah*

**calculus trig substitution**

∫ x^3 √(x^2+9) dx If you work it can you write the steps? I really don't like the way my teacher teaches it. Someone else doing it might help.
*Saturday, March 14, 2015 by Allie*

**Calculus**

∫ x^3 √(16-x^2) dx evaluated between [0, 4] I know this is solved using trigonometric substitution, but I'm not sure how to work it. Please show steps so I will understand.
*Saturday, March 14, 2015 by Nick*

**Calculus 2**

∫ tan^2 (x) sec^4 (x) dx ∫ [tan^2 (t) + tan^4 (t)] dt ∫ [1-tan^2 (x)] / [sec^2 (x)] dx Trigonometric integral Please show steps so I can understand!
*Saturday, March 14, 2015 by Janice*

**Calculus check**

The integral of (x^2-4secxtanx) dx= I got x^3/3-4secx+c
*Saturday, March 14, 2015 by Sarah*

**Calculus**

In the next questions, a particle is moving along a horizontal line according to the formula: s=2t^4-4t^3+2t^2-1 a) the particle is moving right when A. 0 is less than t is less than 1/2 B. t is greater than 0 C. t is greater than 1 D. 0 is less than t is less than 1/2, t is ...
*Saturday, March 14, 2015 by Anonymous*

**Calculus**

f(x)=x^n , where n is a positive integer greater or equal to 2. The graph of f(x) will have an inflection point when n is A. Even B. Odd C. Divisible by 3 D. For all values E. For no values
*Saturday, March 14, 2015 by Anonymous*

**Calculus**

If y=3/(sinx+cosx) , find dy/dx A. 3sinx-3cosx B. 3/(sinx+cosx)^2 C. -3/(sinx+cosx)^2 D. 3(cosx-sinx)/(sinx+cosx)^2 E. 3(sinx-cosx)/(1+2sinxcosx)
*Saturday, March 14, 2015 by Anonymous*

**Pre-Calculus**

How many parameters in a quadratic function in a vertex form change when you change the location of the vertex? ( P and Q change? The value of the coefficient( a ) may also change?)
*Saturday, March 14, 2015 by Lucina*

**Calculus check revised. **

y=-1/sqrt(x^2+1) , then dy/dx= A. x/(x^2+1)^1/2 B. x/(x^2+1)^3/2 C. -x/(x^2+1)^1/2 D. -x/(x^2+1)^3/2 E. x/(x^2+1) I got B.
*Saturday, March 14, 2015 by Sarah*

**Calculus check**

y=-1/sqrt(x^2+1) , then dy/dx= A. x/(x^2+1)^1/2 B. x/(x^2+1)^1/2 C. -x/(x^2+1)^1/2 D. -x/(x^2+1)^3/2 E. x/(x^2+1) I got B.
*Saturday, March 14, 2015 by Sarah*

**Calculus check**

If f(x)=sin^2(3-x) then f'(0)= A. -2cos3 B. -2sin3cos3 C. 6cos3 D. 2sin3cos3 E. 6sin3cos3 I got B
*Saturday, March 14, 2015 by Sarah*

**Calculus**

The limit as x approaches 4 ((-3x+1)/(x-4)^2) is A. -11 B. -13 C. Infinity D. Negative infinity E. DNE
*Saturday, March 14, 2015 by Anonymous*

**Calculus**

Find an equation of a line tangent to y = 2sin x whose slope is a maximum value in the interval (0, 2π] I believe the equation is y=2x-4pi. How is the b-value -4pi?
*Saturday, March 14, 2015 by Sara*

**Calculus**

How would I find the instantaneous rate of change using this formula y=3.9657(0.9982^x) and given a table of values?
*Friday, March 13, 2015 by Sara*

**Pre-Calculus**

I posted this question about an hour ago, got a response but still confused. Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers ...
*Friday, March 13, 2015 by Alyssa*

**Pre-Calculus **

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is smaller than ∠B2.) a = 34, c = 43, ∠A = 39&...
*Friday, March 13, 2015 by Alyssa*

**Calculus 1**

Find the derivative of the function. F(t) = e^(4t sin 2t)
*Friday, March 13, 2015 by TayB*

**Calculus 1**

Use logarithmic differentiation to find the derivative of the following equation. y = (2x+1)^5(x^4−3)^6
*Friday, March 13, 2015 by TayB*

**Calculus 1**

Use logarithmic differentiation to find the derivative of the function. y =sqrt(x)^3x
*Thursday, March 12, 2015 by TayB*

**Calculus 1**

Use logarithmic differentiation to find the derivative of the function. y = x^(8cosx)
*Thursday, March 12, 2015 by TayB*

**calculus**

A ladder 13 feet long is leaning against the side of a building. If the foot of the ladder is pulled away from the building at a constant rate of 8 inches per second, how fast is the area of the triangle formed by the ladder, the building, and the ground changing in feet ...
*Thursday, March 12, 2015 by beth*

**Pre-Calculus**

One walker was sponsored $100 plus $5 for the first kilometre, $10 for the second kilometre, $15 for the third kilometre, and so on. How far would this walker need to walk to earn $150? (I know it is 4 km, but I can't figure out how to write the general term.)
*Wednesday, March 11, 2015 by Lucina*

**Calculus 1**

If f(x)=3 sin x+ln(5x), find f '(x).
*Wednesday, March 11, 2015 by TayB*

**Pre-Calculus(Trignometry)**

There are 3 airports, A , E and G. G is 200km from A.E is 160 km from A From G the bearing of A is 052 degrees. From A the bearing of E is 216 degrees. What's the distance between A and G? 360- 216 = 144 144-52 = 128 144-128 = 16 a^2 = b^2+c^2-(2*b*c)*cos(A) a^2 = 160^2 + ...
*Tuesday, March 10, 2015 by Lucina*

**Calculus**

An observer is 36m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 26m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
*Tuesday, March 10, 2015 by Zee*

**Pre-Calculus**

Determine a quadratic function in vertex form given each set of characteristics. * minimum value of -24 and x-intercepts at -21 and -5 I have: (-21,0) and (-5,0) How would I find the x-coordinate of the vertex? (Thank you)
*Tuesday, March 10, 2015 by Lucina*

**Pre-Calculus**

Water is spraying from a nozzle in a fountain forming a parabolic path. The nozzle is 10 cm above the service of the water. The water achieves a max height of 100 cm above the waters surface and lands in the pool. The water spray is again 10 cm above the surface of the water ...
*Tuesday, March 10, 2015 by Lucina*

**Calculus**

An observer is 23m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 15m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
*Tuesday, March 10, 2015 by Zee*

**calculus**

If 3x^2 + y^2 = 7 then evaluate the second derivative of y with respect to x when x = 1 and y = 2. Round your answer to 2 decimal places.
*Tuesday, March 10, 2015 by Jordan*

**Calculus**

For which pair of functions f(x) and g(x) below will the lim f(x)/g(x)equal 0 x-infinity f(x) e^x; g(x) = x^3 f(x) x^5; g(x) = e^x f(x) x^3; g(x) = ln(x) f(x) x^negative 2; g(x) = e^negative x
*Tuesday, March 10, 2015 by Gary*

**Calculus**

A curve passes through the point (7,6) and has the property that the slope of the curve at every point P is 4 times the y-coordinate of P. What is the equation of the curve? Simplify the equation as much as possible.
*Monday, March 9, 2015 by Matt*

**Calculus**

For the question "Determine the equation of the tangent to the curve y = xtanx at the point with x-coordinate π." how is the answer -πx + y + π2 = 0?
*Monday, March 9, 2015 by Sara*

**Calculus 2**

find an equation to the curve at the point corresponding to the given value of the parameter. x = tcost y = tsint when t = π i know I am supposed to find dy and dx which is: dy = (product form) t*-sint + 1*cost simplifying = -tsint+cost dx = tcost+sint now, to find the I ...
*Monday, March 9, 2015 by Hanky*

**Calculus 1**

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x^2+y^2=(2x^2+4y^2−x)^2 (0, 0.25) (cardioid)
*Monday, March 9, 2015 by TayB*

**Calculus (Integral)**

How would you take the integral of the following two functions: 1) ∫ 25 / e^x(25 + e^2x) dx 2) ∫ 7x / x^3 + 27 dx
*Monday, March 9, 2015 by Misa*

**Pre-Calculus**

What are the vertices and co vertices of the ellipse x^2/4 + y^2/25=1 I actually have no idea how to even start to solve this problem, so any help will be appreciated. Steps on how this problem is solved are also appreciated.
*Friday, March 6, 2015 by Julissa*

**Calculus**

Find the general solution for the differential equation. Leave your solution in implicit form. dx/dt=(2-x)sqrt(1-x)
*Thursday, March 5, 2015 by Anonymous*

**Calculus**

Find the general solution of the DE. Write your solution explicitly. y'=(y^(2)+y^(2)cosx)^2
*Thursday, March 5, 2015 by Cat*