# college calculus-initial value

54,627 results

### college calculus-initial value

dy/dx=cos(7x)+5/pi initial condition y(pi/4)=2

### college calculus-initial value

dy/dx=cos(7x)+5/pi initial condition y(pi/4)=2

### calculus

X. An automobile with seven years of use has a commercial value of \$34057.7, but five years ago its value was \$72250. If the value of such automobile varies exponentially with the time. (36-41) 36.- What was the value of the automobile when it was new? 37.- What will be the ...

### calculus

An automobile with seven years of use has a commercial value of \$34057.7, but five years ago its value was \$72250. If the value of such automobile varies exponentially with the time. (36-41) 36.- What was the value of the automobile when it was new? 37.- What will be the value...

### college algebra

The height of a projectile fired upward is given by the formula s = v0t – 16t2, where s is the height, v0 is the initial velocity and t is the time. Find the times at which a projectile with an initial velocity of 128 ft/s will be 144 ft above the ground. Round to the ...

Pam and Tim decide to start saving money for their daughter's college education. They open a college savings plan (529) with a 500 dollars initial investment and next month start to make monthly deposits of 120 dollars. If the account pays 8% compounded monthly, how much will ...

### Chemistry

The reaction X + Y --> products was studied using the method of initial rates. The initial rate of consumption of X was measured in three different experiments. What is the value of the rate constant, k? *concentrations are in mol/L and initial rates are in molL-1s-1 Exp 1...

### college chemistry

If the initial concentration of F(g) is 8.285 mol/L, calculate the % decomposition of F(g) when the reaction comes to equilibrium according to the balanced equation. The value of Kc at 927.0 °C is 370.00. The initial concentration of the reaction products is 0 mol/L. 2F(g) = ...

### college chemistry

please help! If the initial pressure of I2(g) is 1.738 atm, calculate the % decomposition of I2(g) when the reaction comes to equilibrium according to the balanced equation. The value of Kp at 1000 K is 0.254. The initial pressure of the reaction products is 0 atm. I2(g) = 2I(g)

### calculus

How do you solve the initial value problem? (dy/dx)-2y+4=0, y(1)=4

### Calculus

Solve the initial-value problem. y'' - 2y' + y = 0 , y(2) = 0 , y'(2) = 1

### Integral Calculus

Initial Value Problem dy/dx = y^2 -5y+6 y(0)=1

### Calculus

Solve the initial value problem. 7x^6-3x^2+5 and u = 1 when x = 1. Is this x^7 - x^3 + 5x - 4?

### College physics

A projectile is launched vertically from the surface of the Moon with an initial speed of 1400 . At what altitude is the projectile's speed one-half its initial value? do you use the equation Ei = Ef and vf would be 700 E= 1/2 mv^2 -G (Mass of the moon/radius)

### calculus

solve the initial value problems: 1- dq/dz = 2 + sinz, q(0)=5 2-dy/dx = (x^2 -2)x, y(2)=4 3-dy/dx = 4e^5^x + x, y(0)=4 4- dy/dx 3x + 2, y(3)= 2

### Calculus

Solve the initial value problem. dy/dx = 3 sinx and y = 2 when x = 0. Is this c = 5?

### Calculus

solve second-order initial value problem y"(x)= x e^-2x y'(0)= 0 y(0)= 0

### Calculus II

Solve the Initial Value Problem: Let k and Po be positive constants. P(0)=Po dP/dt = kP^2

### calculus

solve the initial value problem by separation of variables dy/dx=y^(2)+1, y(1)=0

### calculus

solve the initial value problem by separation of variables 8. dy/dx=x+1/xy, x>0, y(1)=-4

### calculus

solve the initial value problem by separation of variables dy/dx=-x^2y^2, y(4)=4

### calculus

solve the initial value problem by separation of variables dy/dx=-xy^2, y(1)=-0.25

### calculus

solve the initial value problem by separation of variables dy/dx=-xy^2, y(1)=-0.25

### calculus

solve the initial value problem by separation of variables dy/dx=-x^2y^2, y(4)=4

### calculus

how do you solve the initial value problem by separation of variables dy/dx=-x^2y^2, y(4)=4

### calculus

find the solution of the initial value problem y'=xye^x; y(1)=1

### Calculus

Find f (x) by solving the initial value problem. f '(x) = 6x^2 - 10x; f(2) = 5 f(x) =

### Calculus

Find f(x) by solving the initial value problem. f '(x) = 3ex - 4x; f(0) = 10 f(x) =

Solve initial value problem explicitly: 1. y'= ye^-x, y(0)=1 2. y'= 5xe^-y, y(1)=1

### calculus

solve the initial value problem by seperation of variables du/dt=2t+sec2t/2u, u(0)=-5

### calculus

solve the initial value problem by seperation of variables du/dt=2t+sec2t/2u, u(0)=-5

### calculus

how do you solve the initial value problem by using separation of variables dy/dx=1/y^2, y(0)=4

### calculus

how do you solve the initial value problem by using separation of variables dy/dx=-xy^2 when y(1)=-0.25

### calculus

Please help find the solution to the initial value problem dy/dx=(1+2cos^2 x)/y with(y>0), and y=1 when x=0. Thanks.

### Calculus-Antiderivative

Solve the following initial value problem: dr/dt=7cos(pi(t)), r(1/4)=14 r(t)=?

### calculus

how do you solve the initial value problem by using separation of variables dy/dx=1+x/(sqrt of y), y(2)=9

### Calculus

For solving initial value problems is there any way to do it without a calculator? For example: f"(x)=12x^2-6x+8, f(-1)=5 f'(-1)=-21

### Calculus

Use Newton's Method with the function f(x)=x^2-2 and initial value Xo=2 to calculate x1,x2,x3. I have no idea how to do this

### Calculus II

Solve the initial value problem using Taylor Series and the following conditions: y'(t) = y(t) + 2t y(0) = A

### Statistics

How do you find the p-value??? Thanks! In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have ...

### Calculus

I am given the function P=9e^(-0.9t) In the funcion form P=(P initial)(a^t) what are the values of P initial and a P initial is 9 what is a?

### math

Baseball Nick throws a baseball upward with an initial velocity of 60 feet per second. What is the maximum height of the ball after Nick releases the ball? Formula for the problem - h(t)=v0t-16t^2, h(t)= the height of an object in feet, v0=an object's initial velocity in feet ...

### calculus 2

Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'= -3x+y^2, y(0)=1

### calculus 2

Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'= -3x+y^2, y(0)=1

### calculus

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem. y' = 5x + y^2, y(0)=-1.

### Calculus

Solve the differential and initial value problem: x(dy/dx) + 1 = y^2 y(1)=0 I tried using bernoulli and it didn't quite work.

### Calculus

Solve the first-order initial value problem using half angle formulas {y'(x)= 1 + sin^2 x y (0)= -7

### calculus

The rate of change of an investment account earning continuous compound interest is given by dA/dt=kA where k is a positive constant. The initial account value was \$2500. At the end of the third year, the account value was \$4200. Find the particular solution to the ...

### calculus

The rate of change of an investment account earning continuous compound interest is given by dA/dt=kA where k is a positive constant. The initial account value was \$2500. At the end of the third year, the account value was \$4200. Find the particular solution to the ...

### Math

Find the specific solution for the following differential equations: a) (dy/dx)^2 - x^4 = 0 given the initial value y(1) = 0 b) dy/dx = ysinx given the initial value y(pi) = 1

### Calculus

Consider the differential equation, dy/dx=(x+1)/y^2 with the initial condition y(0)=3. Write down the particular solution, and hence, calculate the value of y when x=8.7, to 3 dec places.

b. Explain why the initial value problem y'=4xsqrt(1-y^2) with y(0) = 4 does not have a solution. I already solved the differential equation and got y=sin(2x^2+C) I don't know what to do from there

### Chemistry

This problem is 1st order for half life. How long would it take for the concentration of cyclopropane to decrease to 50% of its initial value? to 25% of its initial value? Rate constant is 9.2/s I set up like this... t1/2= 0.693/9.2/s= 0.075s at 50% I can't figure out how to ...

### calculus

Please help . confused here. The rate of change of an investment account earning continuous compound interest is given by dA/dt=kA where k is a positive constant. The initial account value was \$2500. At the end of the third year, the account value was \$4200. Find the ...

### Calculus

(b) Find a solution of the initial-value problem. (Hint: First verify that all members of the family y = 4/x + C are solutions of the given equation.) y' = −1/4y^2 y(0) = 0.25

### Calculus

Show that y= x + sinx-pi satisfies the initial value problem dy/dx=1 + cos x, y(pi)= 0 i don't understand how to do this problem. i don't know where to begin.

### calculus

Use Euler's method with given values of to obtain an approximation of the initial value problem when x=3 . Round your answers to four decimal places, if necessary. dy/dx= x+y, y(0) =3 n=4, y(3)= n=6, y(3)=

### calculus, math

Use Newton's method to approximate the value of (543)^(1/5) as follows: Let x1=2 be the initial approximation. find x2 and x3 =? approximation

### Mathematics

Pam and Tim decide to start saving money for their daughter's college education. They open a college savings plan with a 400 initial investment and next month start to make monthly deposits of 100. If the account pays 8.00% compounded monthly, how much will the account be ...

### Calculus

Use the Fundamental Theorem of Calculus to find the area of the region bounded by the x-axis and the graph of y = 4 x3 − 4 x. Answer: (1) Use the Fundamental Theorem of Calculus to find the average value of f(x) = e0.9 x between x = 0 and x = 2. Answer: (2) Draw the ...

### calculus

Hello! Just needed help with understanding this specific question. We never really wet over Euler's method so I'm not sure how to go about it. "Use Euler's method in order to solve the initial value problem below. dy/dx = x-3 and y=4 when x=1 Use Euler's method with increment'...

### Math

A share of stock loses 5% in value and then gains 5% . How does its ending value compare with its initial value?

### math

Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college \$40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college \$60,000, ...

### college calculus

find a and b so that f(x)=x^2+ax+b has a local min at (6,-5) i found the derivative: f'=2x+a then i found a 0=2x+a 0=2(6)+a 0=12+a a=-12 but i can't seem to get the correct value for b. i plugged -5 into the original function, but my book says the answer is b=31. how do i get ...

### AP Calculus AB

An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft

### College Algebra/pre-calculus

The Pointless Pencil Company purchases a new stamping machine for the production line that cost \$8000. The equipment will be replaced in 10 years at which time its salvage value is expected to be \$1000. Write a linear equation giving the value, y, of the machine during the ...

### Algebra 2

Dana invests \$8,000 into her son college fund when he is born. The college fund earns 3% interest and is compounded daily. What will the value of his account be if he takes the money out at 18 to go to college? Please write answer rounding to 2 decimal places.

### Calculus

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem given below. (Round your answer to four decimal places.) y' = 1 − xy y(0) = 0 I don't even know how to start!

### Calculus

I am confused on how to solve this problem : \$5000 is invested for 4 years at 7% per annum compound interest. a. what will the amount be at the end of this period? b. what is the expression for the value of the investment after n full years? c. the investment will exceed \$10,...

### Chemistry

Experiment 1: A has .20 M, B has .20 M and the initial rate is 2.0*10^-4M/min Experiment 2: A has .20 M, B has .40 M, and the initial rate is 8.0*10^-4M/min Experiment 3: A has .40 M, B has .40 M, and the initial rate is 1.6*10^-3M/min Using the data above, answer the ...

### College Physics

A single resistor is wired to a battery.Define the total power dissipated by this circuit as P initial. What is the power, in terms of P initial, dissipated by this circuit? Power = P initial.

### Calculus-HELP!!!!

Show that the function y=c_1 e^x cos(x)+ c_2 e^x sin(x) satisfies the differential equation y''-2y'+2y=0 for any values of c1 and c2, then find the values for those constants that solve the initial value problem y(0)= 1, y'(0)= -1

### calculus

(A) Consider the wave equation with c=1, l=1, u(0,t)=0, and u(l,t)=0. The initial data are: f(x)=x(1-x)2, g(x)=sin2(pi x). Find the value of the solution at x=0, t=10, and at x=1/3, t=0. Find the value of the solution at x=1/2, t=2. (B) Suppose that l=2, c=1/2. Draw the domain...

### Calculus

Solve the initial value problem 2y" + 5y' - 3y = 0 y(0) =7, y'(0) = 7 Can someone please help. The answer I came up with is 35 exp(-x) - 28 exp(-3x/2), but my answer is wrong.

### college

The value of a mint state 63 uncalculated 1950 Jefferson nickel minted at Denver is 8/7 the value of a 1945 nickel in similar condition minted at Philadelphia. Together the total value of the two coins is 15.00 what is the value of each coin?

### calculus

Use Euler's method with step size .2 to estimate y(.4), where y(x) is the solution of the initial value problem y=x+y^2, y=0. Repeat part a with step size .1

### physics

x=x0+v0t+1/2at^2. Assuming that x0=0, a=2, and x=h, solve for t in terms of initial v and h? x0 mean initial value of x same with v0

### calculus 2

Use Euler's method with a step size of 0.2 to estimate y(1), where y(x) is the solution of the initial value problem y' = 6x+y^2, y(0)=0. Round your final answer to 4 places, but keep more places on the intermediate steps for accuracy.

### Chemistry

What should be the pH value of the solution to double the solubility of the ionic compound NX? Ka of HX=2*(10)^-5 M My thoughts on the question: Let the solubility of NX=x M 1) NX(s)<====> N+(aq) + X-(aq) eq:con: x x (moldm-3) X^-<===> HX + OH^- -->(2) HX<...

### Calculus

Solve the following initial value problem explicitly: y'= ye^-x , y(0)=1 How do you solve this problem? I'm really confused!

### Calculus

Find the minimum value of the following function: h(x)= x-(12(x+1)^(1/3) -12) on the interval [0, 26] Honestly, I have found by graphing that the minimum value is at the coordinate point (9,-3), but I need to do this in a way that uses a more "calculus-like" method if you ...

### College Physics

The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 4.5 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times?

### COLLEGE CALCULUS. HELP!

the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+2dt, and find f"(x). my answer was: f'(x)=x^3+x^2+2 f"(x)=x^4/4 + 2x^3/3 + 2x it said its wrong.

### Calculus

I need to take a college calculus class. Can someone direct me to a site which might help me get a good start? Thanks in advance.

### math

Find the initial amount given an exponential function. Given the equation y = 24(0.77)^t, what is the initial amount? To find the initial amount, I need to replace t with 0. When I do that, I get y = 24(0.77)^0 which is y = 24(1), so y = 24 In doing other problems, that first ...

### Chemistry

Does the reaction rate of a zero order reaction becomes half of its initial value,if the concentration of the reactant becomes half of its initial value?

### college algebra

Find the maximum value of 5x + 7 – x2 on the horizontal span of 0 to 5. (Enter the maximum value of the expression, not the value of x at that point.)

### calculus

If f(x)=∫ (from -x to x) cos(t)/(1+e^t) dt and x=asin(77/85), then the absolute value of f′(x)−f(x) can be expressed as a/b, where a and b are coprime positive integers. What is the value of a, and what is the value of b?

### College physics

According to test performed by the manufactures, an automobile with an initial speed of 75 km/h has a stopping distance of 25 m on a level road. assuming that no skidding occurs during breaking, what is the value of μ , between the wheels and the road required to achieve ...

### College Algebra

so i am suppose to to find the max value attained by… g(x) = -3x2 - 24x - 18. but my teacher said "There is a difference between determining the maximum value and naming the location of the maximum value." what does that mean??

### college Algebra

so i am suppose to to find the max value attained by… g(x) = -3x2 - 24x - 18. but my teacher said "There is a difference between determining the maximum value and naming the location of the maximum value." what does that mean??

### Math/Calculus

Solve the initial-value problem. Am I using the wrong value for beta here, 2sqrt(2) or am I making a mistake somewhere else? Thanks. y''+4y'+6y=0, y(0)=2, y'(0)=4 r^2+4r+6=0, r=(-4 +/- sqrt(16-4(1)(6))/2 r=-2 +/- sqrt(2)*i , alpha = -2, beta = 2(sqrt(2)) y=e^-2x*(c1*cos(sqrt(2...

### 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)

### COLLEGE PHYSICS

A rocket is launched at an angle of 60.0° above the horizontal with an initial speed of 99 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 32.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile.

### Economics

Suppose that the average earnings for high school graduates is \$25,000, the tuition, fees, and books for typical year of college total \$10,000 and that a college degree takes 5 years. a) How large must the present value of the increment to earnings from getting a college ...

### math

Suppose that the average earnings for high school graduates is \$25,000, the tuition, fees, and books for typical year of college total \$10,000 and that a college degree takes 5 years. a) How large must the present value of the increment to earnings from getting a college ...

### Calculus

Give acceleration a=d^2s/dt^2,initial velocity, and initial position of a body moving on a coordinate line. Find the bodys position at time t. a=e^t v(0)=20 s(0)=5

### Calculus

Give acceleration a=d^2s/dt^2,initial velocity, and initial position of a body moving on a coordinate line. Find the bodys position at time t. a=e^t v(0)=20 s(0)=5

### calculus

Does anyone know of any free calculus websites? I'm taking a college class in the fall and would like to build my confidence since I am somewhat weak in math. Thank you in advance.

### math 127

In 2008 ACT,Inc reported that 74% of 1500 randomly selected college freshman rerurned to college the next year. Estimate the national freshman to sophomore retention rate. a) Verify below the two condition are met for constructing a confidence interval for the population ...