Integrate buth sides of problem y'=f(y) aver interval [titna and interpolate f(yles) on the points tritul and derive 'n ane step method. | Hines y'=f(y) txtl S 2544 tn Ent! y'dt "/dt = f f (y(₁) de tn interpolate an ti tual

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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Q: The detivative f^1(t) if f(t)=4t2+t

A: Given f(t)=4t^2+twe will use exponent rule to find derivative

Q: Let f(x) = V2x² + 2x + 4 %3D f'(x) = %3D f'(2) = Question Heln:

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Q: Find y' if y = x* Inx

A: Differentiate the given function using the product rule. y'=ln xddxx4+x4ddxlnx Use the standard…

Q: If f'lx)=4x³+ 3x²+1 and fe)=S, what is feoi)?

A: Given,            f'x=4x3+3x2+1 and f1=5To find : f-1

Q: Find F'(8) and F''(8).

A: We need to use second fundamental theorem of calculus with f(t)= sqrt(t^2+17) and a=8

Q: Find the derivative of y = = Ve-5t +1 dy dt ||

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Q: 5. f'(x) does not exist for x = А. 1 only B. 1 and 2 C. 2 and 6 D. 0,1,2, and 6

A: Note f'(x) of constant is 0 always

Q: 51. y = e-* cos x, [- , ] 3]

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Q: If f(x) = X = x-9 x+3' where is f not differentiable?

A: Important point regarding rational function:-If function is a rational function then it is…

Q: The forces of the human gastrocnemius tendon during traction and during recoil can be approximated…

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Q: Find f f(x) dx if 4 for a 4.

A: I=∫05fxdxif fxdx=4for x<4xfor x≥4

Q: Given f'(x) = 3x4 — 4x³ + 7. Find all critical numbers of f'. (a.) 1 and 2 (b.) 1 and 3 (c.) 0 and 1…

A: To find the critical numbers of f'

Q: The line y 을 16 has x-intercept 3. -8)-and is perpendieular to Ahe line Passes through (4,pand…

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Q: 25. Integrate sec³ ( }x)dx O sec(블지) tan(금r) + 1lmscc(x X- O sec(금x) tan(금x) + In]sec(3r) ○3 sec(금x)…

A:

Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: Use implicit differentiation on the equation 2e9Z – 10xz +x cos(y) = 5 to find - and ôx -2xzewz +x…

A: This is partial derivative so while differentiate with respect to one variable consider other…

Q: If F(x)= J. x) = [", "+!dt then F'(x) dt , then F'(x)= /3 sint

A: If Fx=∫π3xt2+1sintdt, then evaluate the value of F'x.

Q: F(x) = [ 2 1 | t dt

A: topic - integration and derivative we are given F(x)=∫2x1tdtwe know that∫1xdx=ln|x| +Cddxln(x)=1x

Q: 2 3^ 2^ 7. IF A = x²y²² - 2x²²³3 + x²³² k B = 2zi+yj-x²2 FIND ² axay À X B = (AXB) @ POINT (1,0, -2)

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Q: Q2/A/<he di fferential equation is yedx +3xay+dx +dyno diff erential when fineling the solution to a…

A: To find: The solution of differential equation y2dx+3x2y2dx+dy=0 and also find the constant (c) at a…

Q: 21// Find equations for the normal and tangent to the (2-√3)(1+√x) (2-X (2+√x) at x = 1. curve y =

A: Given .

Q: Find f' and f" for the function. f(t) 92²2²-7 t f'(t) F"(t) = 18t + 7 انا 2 14 18+ + X X

A: Given: f(t)=9t2-7t

Q: e function f m (0,0) to

A: