Ouestion 19 } Prone Thnt f(z) is continue ous then T(O)d! ] dw.

Q: Find d²y dy if x = if x dx² 4(ln 6)² (62t+1) = e³t and y = 6²t+1

A: Given,

Q: (* +y – 4z) dV where E = {(x, y, z) | 0 < y < 2, 0 < * < y, 0 < z < a +y?} Evaluate

A: ∫y=00∫x=0y∫z=0x+y2x+y-4z dz dx dy Now, ∫z=0x+y2x+y-4z dz =x+yz-2z2z=0x+y2 =x+yx+y2-2x+y22…

Q: e"+e (1) V 23 + 1 dx by speculation . x=e"+e-T (2) Use (1), if necessary, to evaluate L +1 (-) de V…

A:

Q: VPux (1 – Pu) (0.50) d.f. 117 (116) (0.03) 322 ( ) ( denom. tobtained AUC (0.65) () () Pu Ps S =…

A: It is given that the information about the parameters of independent-sample t-test.

Q: determine derivitive c(x)=ecos(x^2+1)

A:

Q: let f(0) = 4 Sin (0) - Sec² (0) tan (Ⓒ). find the antiderivative function F(0), if F(0) = 0

A:

Q: Σ(+r=1)a-my y=0 = (1 - (1 − π)^^) — -

A:

Q: C.I f fX X-X (X-X)² f(X-X)² X2 fX2 d' fd' (d')? f(d')? 54 - 56 51 - 53 305.375625 305.375625 | 3025…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: date 6) The tetxl cost of producing X (ameras per week is'(in hundredsof dllrs) C(x)= 6+V4X+4 0L XS…

A:

Q: actuaZ D X=Ytmacking weigh Şk.(i-cx-3)³), ifɔ 147 f(x)= 0, otherwise (4) k=? SFxsdx=1) →1=…

A: Given, the PMF, fx=k1-x-32, 2≤x≤40, otherwise

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.