Use the Implicit Trapezoidal method h = Yi + −5 (ƒ (ti+1, Yi+1) + f(t¡‚Y;)) for i = 0, 1, 2, ..., N — 1 Yi+1 with h = 0.1 to find numerical solutions for the IVP y' = -30y, 0≤ t ≤ 0.3, y(0) = = 3

Q: 6x2+7y2=C satisfies 6x+7yy' given the inital condition y=4 when x=6 what is C.

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Q: Sketch the graph of the parametric equations x = sint, y = 2 cos(3t), π ≤ t ≤ 27. Clearly label the…

A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

Q: For the function f (x) = 3x° – 5x* – 200x³ , find the critical value for f"(means find the x…

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Q: 3y = /2y – 1, y(1) = 1. ) Find the solution y = y(x) of this IVP. Please present your solution y =…

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Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

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Q: D={(x,y):4 < x² +y² < 81,< x <-V3y}, V3 Find [S, dA JJp y2

A: We will use polar co ordinates to solve the problem

Q: 2) Given f(x) = ax²+bx+c has a y-intercept equal to 5, ƒ"(1)= 16, and (1,11) is a point on the…

A: f(x)=ax2+bx+cy intercept is 5f''(1)=16(1,11) is a point on the curve d dx(xn)=nxn-1

Q: 2.P=12x+19y Subject to ちx+4y>=45 2x+5y=0 3.P=zzx+26y Subject to X=10 Y=18 X,y>=0

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Q: 1:Assignment 1. If x²y-xy² + x² + y² = 0 find y 2. If x² - xy + y² = 3 3. If x³y-xy³ = 2 find y' and…

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Q: Find the co perpendicular to the li

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Q: I grad(f)•dr where C is graph of y = x² + 3x from (0,0) to (2, 14) and f (x,y) = ev/lx*•1}

A: The function is fx, y=eyx+1. Find: ∫Cgradf·dr…

Q: 1. ('88 BC) The length of the curve y = x³ from x = 0 to x=2 is given by 2 2 A) [√₁ + x ²dx (B) √ √…

A: Given,.Formula for length of the curve is,

Q: Maximize f = 3x1 + 7x2 + 8x3 subject to 4x1 + 2x2 + 3x3 0, r3 >0 If no solutions exist enter DNE in…

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