Given an IVP an(x)dnydxn+an−1(x)dn−1ydxn−1+…+a1( x)dydx+a0(x)y=g(x)an(x)dnydxn+an−1( x)dn−1ydxn−1+…+a1(x)dydx+a0(x)y=g(x ) y(x0)=y0, y′(x0)=y1, ⋯, y(n−1)(x0)=yn−1y(x0)=y0, y′(x0)=y1, ⋯, y(n−1)(x0)=yn−1 If the coefficients an(x),…,a0(x)an(x),…,a0(x) and the right hand side of the equation g(x)g(x) are continuous on an interval II and if an(x)≠0an(x)≠0 on II then the IVP has a unique solution for the point x0∈Ix0∈I that exists on the whole interval II. Consider the IVP on the whole real line sin(x)d2ydx2+cos(x)dydx+sin(x)y=tan (x)sin⁡(x)d2ydx2+cos⁡(x)dydx+sin⁡(x )y=tan⁡(x) y(1)=11, y′(1)=4,y(1)=11, y′(1)=4, The Fundamental Existence Theorem for Linear Differential Equations guarantees the existence of a unique solution on the interval

answer: we have from thales theorem that because the 2 triangles are similar, jm/jk=jn/jl. we have that jn=x, jl=x+24 and that jm=7 and jk=28. substituting, we get:

x/(x+24)=7/28.

hence, x/(x+24)=1/4. this leads to 4x=x+24, 3x=24, x=8. we have solved for x=jn and this is equal to 8.

step-by-step explanation:

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

step-by-step explanation: i dont