Friday
May 22, 2015

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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 at 11:43pm

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 at 8:33pm

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 at 7:26pm

Calculus 1
Find the derivative of the function. F(t) = e^(4t sin 2t)
Friday, March 13, 2015 at 12:50pm

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 at 12:49pm

Calculus 1
Use logarithmic differentiation to find the derivative of the function. y =sqrt(x)^3x
Thursday, March 12, 2015 at 1:25am

Calculus 1
Use logarithmic differentiation to find the derivative of the function. y = x^(8cosx)
Thursday, March 12, 2015 at 1:24am

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 at 12:33am

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 at 9:57pm

Calculus 1
If f(x)=3 sin x+ln(5x), find f '(x).
Wednesday, March 11, 2015 at 7:09pm

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 at 10:04pm

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 at 10:00pm

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 at 9:40pm

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 at 9:34pm

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 at 9:28pm

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 at 8:26pm

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 at 1:04am

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 at 10:49pm

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 at 6:47pm

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 at 5:22pm

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 at 1:40am

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 at 12:59am

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 at 11:26am

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 at 6:47pm

Calculus
Find the general solution of the DE. Write your solution explicitly. y'=(y^(2)+y^(2)cosx)^2
Thursday, March 5, 2015 at 6:45pm

Calculus, HELP!!
1) A rectangular page is to contain 24 square inches of print. The page has to have a 6-inch margin on top and at the bottom and a 1-inch margin on each side. Find the dimensions of the page that minimize the amount of paper used. 2) A cable runs along a wall from C to P at a ...
Thursday, March 5, 2015 at 12:26pm

Calculus
1) A rectangular page is to contain 16 square inches of print. The page has to have a 2-inch margin on top and at the bottom and a 2-inch margin on each side. Find the dimensions of the page that minimize the amount of paper used. 2) A rectangular garden of area 480 square ...
Thursday, March 5, 2015 at 2:30am

Calculus (Partial Derivatives)
A car dealer determines that if gasoline-electric hybrid automobiles are sold for x dollars apiece and the price of gasoline is y cents per gallon, then approximately H hybrid cars will be sold each year, where H(x,y)=6000−13x^(1/2)+2(0.1y+20)^(​3/2). She estimates...
Wednesday, March 4, 2015 at 10:20pm

Math (advice)
So in my calculus class we learned about implicit differentiation today. The professor would stop and ask if we had any questions, which was nice. I didn't ask any questions though, because I don't really like to ask questions during class. I didn't really get ...
Wednesday, March 4, 2015 at 9:09pm

calculus
differentiate y = 2^3x^2 read as two to the 3x squared power
Wednesday, March 4, 2015 at 3:41pm

Calculus 1
Find an equation of the tangent line to the curve at the given point. y =(1+2x)^12, (0,1)
Wednesday, March 4, 2015 at 11:51am

Calculus 1
The curve y =|x|/(sqrt(5−x^2)) is called a bullet-nose curve. Find an equation of the tangent line to this curve at the point (2,2).
Wednesday, March 4, 2015 at 11:50am

Calculus 1
Find an equation of the tangent line to the curve y = 6/(1+e^−x)at the point (0,3).
Wednesday, March 4, 2015 at 11:48am

Calculus Physics
A glass of orange juice is on the floor of a subway car traveling along a straight path at constant velocity. Everything's fine. The coefficient of static friction between the glass and the floor is 0.32. The subway suddenly accelerates forward. What is the maximum ...
Wednesday, March 4, 2015 at 9:16am

Pre-calculus (trigonmetry)
The Bermuda Triangle is an unmarked area in the Atlantic Ocean where there have been reports of unexplained disappearances of boats and planes and problems with radio communications. The triangle is an isosceles triangle with vertices at Miami, Florida, San Juan, Puerto Rico, ...
Tuesday, March 3, 2015 at 11:19pm

calculus
Find the arc length of the given function/curve on the given interval. y=ln(x-sqrt(x^(2)-1)); x ϵ [1, sqrt(2)]
Tuesday, March 3, 2015 at 11:16pm

calculus
If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.
Tuesday, March 3, 2015 at 9:06pm

calculus
Find the arc length of the given function/curve on the given interval. y=ln(x-sqrt(x^(2)-1)); x ϵ [1, sqrt(2)]
Tuesday, March 3, 2015 at 7:43pm

calculus
Find Indefinite Integral of dx/(x(x^4+1)). I think that Im complicating it too much. I moved the dx out making it 1/(x(x^4+1))dx than 1/(x^5+x)dx. I think i have to use formula indef integral of dx/(x^2+a^2) = 1/a(tan^-1(x/a)) but im stuck i dont know what to do next. I would ...
Tuesday, March 3, 2015 at 3:57pm

calculus
If u=(0,2,3) and v=(1,3,-1) find the projection of u onto v a) 1/3 u b) 3/11 v-> -> c) (1,1,-1) d) (1/3, 1, -1/3)
Tuesday, March 3, 2015 at 3:45pm

Calculus, HELP!!!!!!!!!
A cable runs along the wall from C to P at a cost of $6 per meter, and straight from P to M at a cost of $10 per meter. Let x be the distance from C to P. If M is 8 meters from the nearest point A on the wall where P lies, and A is 18 meters from point C, find x such that the ...
Tuesday, March 3, 2015 at 6:33am

Calculus I
A spherical balloon is inflated at a rate of 10 cm^3/min. How fast does the radius change when the radius is 20 cm? Need help with set up and work through of problem.
Monday, March 2, 2015 at 11:21pm

Calculus I
Sand falls from a hopper into a conical pile with radius equal to half its height. The sand is poured at a rate of 3 m^3 each minute. How fast is the radius increasing after 10 minutes? Need help with the set up and work through of the problem.
Monday, March 2, 2015 at 11:18pm

Calculus Physics
Imagine a spaceship on its way to the moon from the earth. Find the point, as measured from the center of the earth, where the force of gravity due to the earth is balanced exactly by the gravity of the moon. This point lies on a line between the centers of the earth and the ...
Monday, March 2, 2015 at 7:11pm

Calculus Physics
A glass of orange juice is on the floor of a subway car traveling along a straight path at constant velocity. Everything's fine. The coefficient of static friction between the glass and the floor is 0.32. The subway suddenly accelerates forward. What is the maximum ...
Monday, March 2, 2015 at 7:09pm

Calculus 2
Can someone please show and explain step by step how to evaluate this integral? Problem #1)∫ 1/(x^3+x^2+x+1) dx This is what I got so far. I am not sure what to do thereafter after doing partial fraction decomposition (in which I got A = 1/2, B = 1/2, and C = 1/2) 1/(x^2...
Monday, March 2, 2015 at 4:19am

calculus
Plot three points with first coordinate equal to (-2.8) and join them
Sunday, March 1, 2015 at 11:35pm

Calculus
(1/sqrt(1-(3x/4)^2) * 3/4
Sunday, March 1, 2015 at 6:23pm

Math Calculus (ALEVEL)
Find the equation of the tangents to the curve x^2+3x-2y^2=4 at the points where the curve crosses the x- axis
Sunday, March 1, 2015 at 2:44pm

Calculus
Find the area of the bounded region by the graph of x=2y-3 and x=y^2-2y in two ways (i) using x axis as refrence y axis (ii) using y axis as refrence x axis
Sunday, March 1, 2015 at 12:18pm

Calculus
Find out the partial derivative w.r.t 'x' and 'y' of f (x,y) = log(y) x Now, log(y) x = ln x / ln y Partial Diff w.r.t 'x' = 1/ x ln y so can you find out what will be the partial derivatives w.r.t 'y'
Sunday, March 1, 2015 at 7:35am

Calculus (Partial Derivatives)
A car dealer determines that if gasoline-electric hybrid automobiles are sold for x dollars apiece and the price of gasoline is y cents per gallon, then approximately H hybrid cars will be sold each year, where H(x,y)=6000−13x^(1/2)+2(0.1y+20)^(​3/2). She ...
Saturday, February 28, 2015 at 10:33pm

Calculus (Partial Derivatives)
Using x hours of skilled labor and y hours of unskilled labor, a manufacturer can produce Q(x,y)=40xy1/5 units each week. Currently 20 hours of skilled labor and 243 hours of unskilled labor are being used. Suppose the manufacturer reduces the skilled labor level by 2 hours ...
Saturday, February 28, 2015 at 9:00pm

calculus 2 extremely difficult
The function is r(t)= 400texp(-0.2t^2) and it shows the rate at which people show up in a line outside a theatre to buy tickets. t is the number of hours after 8:00am Assume there is no people at 8:00am and the patrons are served at a constant rate of 200 people after the ...
Saturday, February 28, 2015 at 7:59pm

calculus
Find the area between the curves y=x^2 & x=2?
Saturday, February 28, 2015 at 8:26am

calculus
Find the area of the region bounded by the curves y=x^2 & y=2x???
Saturday, February 28, 2015 at 3:44am

calculus
Find relative Minimum and Maximum f'(x) = (9-4x^2)/ (x+1)^1/3
Saturday, February 28, 2015 at 1:05am

Pre-calculus (Trigonometry)
The rotating spotlight from the Coast Guard ship can illuminate up to a distance of 250 m. An observer on the shore is 500 m from the ship. HIs line of sight to the ship makes an angle of 20 degrees with the shoreline. What length of shoreline is illuminated by the spotlight...
Friday, February 27, 2015 at 2:02pm

calculus
limx¨0 sin ^3 (3x)/ x sin(x ^2)
Friday, February 27, 2015 at 4:11am

Calculus
Find an equation of the normal line to the parabola y=x^2−8x+1 that is parallel to the line x−6y =7.
Thursday, February 26, 2015 at 7:04pm

Calculus II
A square plate of side 3 m is submerged in water at an incline of 30 degrees with the horizontal. Calculate the fluid force on one side of the plate if the top of the plate lies at a depth of 6 m. (* The only thing i can think to use is the equation: p * g * (S from a to b of...
Thursday, February 26, 2015 at 5:25pm

linear algebra
Let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ⊕ g by (f ⊕ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−&#...
Thursday, February 26, 2015 at 4:20pm

Calculus
Differentiate the function. y = e^(x+2)+8 y'=?
Thursday, February 26, 2015 at 1:57pm

Calculus
Find an equation of the tangent line to the curve at the given point. y =x^4+4x^2−x,(1,4) y=?
Thursday, February 26, 2015 at 1:51pm

Calculus
Differentiate the function. g(u) = sqrt(2)u+sqrt(7u) g'(u)=?
Thursday, February 26, 2015 at 1:50pm

math
let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ¨’ g by (f ¨’ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(&#...
Thursday, February 26, 2015 at 11:30am

calculus
Salmonella bacteria, found on almost all chicken and eggs,grow rapidly in a nice warm place. If just a few hundredbacteria are left on the cutting board when a chicken is cut up,and they get into a potato salad, the population beginscompounding. suppose the number present in ...
Thursday, February 26, 2015 at 7:33am

Calculus
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y= 2e^(−x), y= 2, x= 6; about y = 4. How exactly do you set up the integral? I know that I am supposed to use the washer method but I can't figure out...
Thursday, February 26, 2015 at 12:43am

Calculus Chain rule
y = (6x^2-6)^4/x I would appreciate it more if work was shown. Thank you (I have the answer but want to know how to do it)
Wednesday, February 25, 2015 at 8:32pm

Calculus 2 II
integral from 0 to 1 of x-4/(x^2-5x+6) I do believe we can integrate with partial fractions, and I should factor it in order to create a linear case 1 thingy so then, it will be: x-4/(x-2)(x-3) After that, I will find the value of a/(x-2) + b/(x-3). But I suck at matrices but ...
Wednesday, February 25, 2015 at 5:02pm

calculus
Describe three situations in which you may want to know the projection of one vector onto another.
Wednesday, February 25, 2015 at 1:41pm

College Math (Calculus)
Suppose the length of a rectangular box, with lengths x,y,z are changing at the following rates dx/dt = 2 cm /sec dy/dt = -3 cm /sec dz/dt = 1 cm/ sec when x =4, y=3 z=2, Find i) Rate at which volume is changing wrt time, ii) Rate at which the diagonal length of the box is ...
Wednesday, February 25, 2015 at 11:00am

Calculus
1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^-1 x is 1/(|x|*sqrt(x^2 -1)). 4. Find the derivative of 2^(e^(sin x)). ...
Tuesday, February 24, 2015 at 11:46pm

Pre-Calculus(Trigonometry)
An 8-m boom is used to move a bundle of piping from point A to point B. Determine the exact vertical displacement of the of the boom when the operator moves it form 30 degrees to 60 degrees. (Just need work checked) --------------------------------------- I drew two triangles ...
Tuesday, February 24, 2015 at 10:42pm

Pre-Calculus ( Trigonometry)
The point P(k, 24) is 25 units from the origin. If P lies on the terminal arm of an angle, theta, in standard position, 0 < theta < 360,determine the measure of theta. Unsure how to go on from here. I'd appreciate if someone can guide me through the first few steps ...
Tuesday, February 24, 2015 at 8:54pm

Calculus
Let a thing rod of length a have a density distribution function p(x)+10e^(-.1x), where x is measured in cm and p in grams per centimeter. A) if the mass of the rod is 30 g, what is the value of a? B) For the 30g rod, will the center of mass lie at its midpoint, to the left, ...
Tuesday, February 24, 2015 at 10:37am

business math
A local Barnes and Noble paid a $79.44 net price for each calculus textbook. The publisher offered a 20% trade discount. What was the publisher’s list price?
Tuesday, February 24, 2015 at 6:43am

[Calculus] U-substitution for Integrals
Integral of cos(x)*a^sin(x) + C dx = Integral of cos(x)*sin(x)^a + C dx = Let a be a fixed positive number. I'm clueless is to how to solve for a...
Monday, February 23, 2015 at 8:40pm

[Calculus] U-substitution for Integrals
Integrate from 1 to 5 of (3x-5)^5 dx = Integrate from a to b of f(u) du where (I have solved this part) u = 3x-5 du = 3 a = 0 b = 12 The original value of the integral is 165888 via calculator here's my last question, and it has to be in terms of u: f(u) = ? (Again, in ...
Monday, February 23, 2015 at 7:23pm

Calculus 2
Consider a trough with triangular ends where the tank is 10 feet long, top is 5 feet wide, and the tank is 4 feet deep. Say that the trough is full to within 1 foot of the top with water of weight density 62.4 pounds/ft^3, and pump is used to empty the tank until the water ...
Monday, February 23, 2015 at 6:58pm

Calculus 2
Let a thing rod of length a have a density distribution function p(x)+10e^(-.1x), where x is measured in cm and p in grams per centimeter. A) if the mass of the rod is 30 g, what is the value of a? B) For the 30g rod, will the center of mass lie at its midpoint, to the left, ...
Monday, February 23, 2015 at 6:55pm

calculus
State whether or not the following statements are true. Justify your reasoning.? a. Vector a • (Vector b + Vector c) = Vector a • Vector b + Vector a • Vector c b. Vector a × (Vector b + Vector c) = Vector a × Vector b + Vector a × Vector c c. ...
Monday, February 23, 2015 at 2:01pm

Pre-Calculus (Trigonometry)
An angle in standard position such that sinÈ = 5/13. Determine the possible values of È, to the nearest degree. Answer: I got 23°. (How do I get the second one?)
Sunday, February 22, 2015 at 9:40pm

calculus
given the velocity of a particle traveling along the y-axis by v(t)=tsin(t^2)
Sunday, February 22, 2015 at 9:08pm

Calculus
When given the f graph, how do you determine extrema of F(x)? Concavity of F(x)?
Sunday, February 22, 2015 at 6:42pm

calculus
Find the integral of (sin^5 x)(cos^5 x)
Sunday, February 22, 2015 at 2:26pm

calculus
A woman is attached to a bungee cord from a bridge that is 38m above a river. Her height in meters above the river t seconds after the jump is y(t)=19(1 + e^-1xcos(t)) for t>0. What is her velocity at t=1 and t=4?
Saturday, February 21, 2015 at 8:47pm

Calculus
Evaluate: the integral from pi/8 to pi/6 csc2xcot2xdx
Saturday, February 21, 2015 at 6:56pm

Calculus
Evaluate by U-substitution: the integral of xcubedroot(x-2) dx
Saturday, February 21, 2015 at 6:55pm

Calculus
A spring has a natural length of 18 cm. If a 22-N force is required to keep it stretched to a length of 24 cm, how much work W is required to stretch it from 18 cm to 21 cm? (Round your answer to two decimal places.) Arg, another question that has me stumped! Would love some ...
Friday, February 20, 2015 at 5:10pm

Calculus
If 54 J of work are needed to stretch a spring from 15 cm to 21 cm and 90 J are needed to stretch it from 21 cm to 27 cm, what is the natural length of the spring? Any help would be appreciated!
Friday, February 20, 2015 at 5:09pm

AP calculus
If 54 J of work are needed to stretch a spring from 15 cm to 21 cm and 90 J are needed to stretch it from 21 cm to 27 cm, what is the natural length of the spring?
Friday, February 20, 2015 at 2:11pm

Calculus Physics
A 1559-kg car moves at 15.0 m/s. What is the magnitude of the horizontal net force needed to bring the car to a halt in a distance of 50.0 m?
Thursday, February 19, 2015 at 8:33pm

Calculus Physics
A particle is subject to a time-dependent force: F(t)=5t√. If the particle's mass is 7 kg, what will its velocity be at t=6.7 seconds, assuming its initial velocity at t=0 is equal to 0.
Thursday, February 19, 2015 at 6:58pm

Algebra
How do you know which rule to use when it doesn't specify? All it says is find the derivative of the function. I haven't had algebra/calculus in over 20 years, I'm completely lost. Please help
Thursday, February 19, 2015 at 5:56pm

business math
How do you know which rule to use when it doesn't specify? All it says is find the derivative of the function. I haven't had algebra/calculus in over 20 years, I'm completely lost. Please help.
Thursday, February 19, 2015 at 5:41pm

Calculus
On planet Calculi, acceleration due to gravity is -20 ft/sec^2. A ball is thrown upward with an initial velocity of 40ft/sec from an initial height of 50. a) Write the equation for the height of the ball, s(t), at time t. b) Find the velocity when the ball hits the ground. c) ...
Thursday, February 19, 2015 at 12:09pm

calculus
When an oil well burns, sediment is carried up into the air by the flames and is eventually deposited on the ground. Less sediment is deposited further away from the well. Experimental evidence indicates that the density (in tons per square mile) at a distance r in any ...
Thursday, February 19, 2015 at 11:00am

Calculus
A spherical balloon with radius 3 inches is partially filled with water. If the water in the balloon is 4 inches deep at the deepest point, how much water is released when the balloon hits the wall and breaks?
Wednesday, February 18, 2015 at 1:39pm

Calculus Physics
A particles with mass 3.7 kg moves in the x direction according to the following function: x(t)=−7+4t+3t2−4t3. (the units of each coefficient are meters, and time is measured in seconds). At time t=7.8, what is the net force acting on the particle?
Wednesday, February 18, 2015 at 10:45am

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