# calculus

posted by .

If y satisfies y′′ =4, y′(1)=10,and y(1)=6,what is y?

• calculus -

y" = 4

y' = 4x+c
y'(1)=10, so
4+c = 10
c=6
y' = 4x+6

No do the same to move on to y.

## Similar Questions

1. ### calculus

Let be a function that satisfies
2. ### calculus

find to the nearest integer the value of C that satisfies (y-6)dy=(x+4)/(y-3)dx, y(-1/12)=2
3. ### Calculus

Let h(x) be a function which satisfies h'(4) = 3. If k(x) = h(x2), compute k'(2).
4. ### calculus

Find a formula for the exponential function that satisfies h(2)=22 and h(4)=14.08
5. ### Calculus-Function

sketch the graph of a function in neighborhood x=2 that satisfies these conditions f(2)=3 f'(2)=2 f"(2)=-1 you can find a specific function that satisfies all of the given conditions i know the first derivative gives you critical points, …
6. ### maths

Given that a and b are real numbers and that x satisfies the inequality ax>=b when x>=75, what is the smallest integer x that satisfies ax>a+2b ?
7. ### Maths

Given that a and b are real numbers and that x satisfies the inequality ax>=b when x>=14, what is the smallest integer x that satisfies ax>a+2b ?
8. ### calculus

hi! just needed help on an FRQ for ap calculus ab. let me know if you have any questions for me. I'm just really confused as far as what I am meant to do. If you could walk me through it that would be amazing. THANKS!! A population …
9. ### calculus

Q.NO.3: Show that the function z=tan^-1(2xy/x^2-y^2)satisfies Laplace’s equation; then make the substitution x=r cosθ, y= r sinθ and show that the resulting function of satisfies the polar form of laplace’s equation (∂^2z/∂r^2)+(1/r^2)(∂^2z/∂θ^2)+(1/r)(∂z/∂r)=0
10. ### Calculus

Which value of c satisfies the MVT for f(x) = x*sinx on [1,4]?

More Similar Questions