12 Solve the boundary-value problem du 0 0 at + sin x %3D u(0, ) = 400, u(T, t) = 200, r>0 u(x, 0) = 400 + sin x, 0

Q: The doctor prescribes 25mg/kg divided into 3 equal doses for a todddler whom was 42 lbs. find the…

A: The weight of the child is 42 lbs The weight of the child in kilograms is 42×0.4536=19.0512≈19…

Q: 10) y = xtanx + sin-ly

A: according to guidelines we should able to do only one question at a time #10

Q: tan²xdx = sin³ydy when x = 2, y = 3

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Q: Find the derivative of the function. 4 y = =sec² x sec² 5 O a) a) y'=sec² sec² xtanx

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Q: Find all values of x in the interval [ -pi/2, pi/2 ]at which the fuction f(x)=sin^2+cos x reaches an…

A: To determine the absolute minimum value of the function.

Q: The equation of line normal to f(x) = (x +4)^(1/2) at Q (0,3) is

A:

Q: Q5) d^3y/dx^3-5d^2y/dx^2+7dy/dx-3y=20 sinx , y(0)=-1    y(0)=2

A: the given differential equation is  d^3y/dx^3-5d^2y/dx^2+7dy/dx-3y=20 sinx y(0)=-1    y(0)=2

Q: directional derivative

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Q: 2r + 9(x)+ sin(rx). (2) Let f(x) = g where g is a differentiable function such that )-1-4 ) - d(1) =…

A: Given: f(x)=g(2x+12g(x)+sin(πx))g(14)=1−22=1−12g'(14)=2π2=π2g'(1)=3f'(14)=?

Q: dx (2tx +x+ cos t) + (-sin x +t² +t)- = 0. dt %3D

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Q: What is the integrating factor of (1 + cos x) y' = sin x (sin x + sin xcosx sin x 0 1 + cos x CSC X…

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Q: Find dy/dx for the following : 9) y* = sin-1 x %3D 10) y = xtanx + sin-ly 11) (Vy)* = (In…

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Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

A:

Q: Nap Lajoie has a lifetime batting average of 0.338. Assume that Nap Lajoie came to bat officially…

A: Given : Nap Lajoie has a lifetime batting average of 0.338 and came to bat officially six times…

Q: 2xdx – [3y* +(x² - y' )tan y] = 0

A:

Q: What is the first derivative of y=tanh(0³+30)? A y'=3(0²+1)sech (0²+30) dy =3(0²+ 1)sech²(0²+ 30) B…

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Q: c) f(x)=tan(cos².x) 11 COS X 1+ sin.x Dy=- b) y = 2

A: e)  f(x)=tan(cos2x)  f) y=cosx/(1+sinx) g) y=ex^2/x3 Repost the next part.

Q: Find the largest interval on which the LV.P (x +(4) x -5) y" + sin(x) y' + y =0, y(0)= 3, y'(0)=4…

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Q: ly Exercise: Find dx 1. y. 10x+3 Cosx y lox +3 Cosx +子 Cotx 3) 14 Cotx

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Let y(x) be the solution for the DE y+ytan(x) + sin(x) 0 If y(0) = In 2, then at x= the value of y…

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Q: sin2x dx calevlate the integral -IT

A: let,I=∫-π2π3sin2x1-cosxdxI=∫-π2π3sin2x1-cosx1+cosx1+cosxdxI=∫-π2π3sin2x1+cosx1-cos2xdxI=∫-π2π3sin2x1…

Q: x²e*= sin(x² yz) Let f(x, y, z) %3D 12 o f find dydzd' x at the point (2, 0, 0)

A: Expanding the terms as power series then differentiating

Q: computes curve length for 0

A: