Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3
A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2
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A: Question- Two capacitors with capacitance of 6 μF and 4 μF are connected in series across a 100 V…
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A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…
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Q: 1. The first approximation of the root of xlogx - 1.2 = 0 in [2,3], by Regula Falsi method (False…
A:
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A: To solve the following problem
Q: Wt-1+2 dt
A: We will find the integral as following.
Q: 2. Find an estimate of the root of the equation: 2* + vx² +5=20 using regula-falsi method. Ans x:
A:
Q: +(= Sin3x-5x+ 12 %3D
A: MOSS :- Method of Successive Substitution Given function is fx =sin3x -5x +12
Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.
A: To evaluate using the trapezoidal rule with n=10.
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A: The given problem is to find the approximate root of given equation using newton raphson method with…
Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)
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Q: 1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN
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Q: Solve the equation in the attached image:
A: Given:
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A: General solution of non homogeneous differential equation is sum of complementary part and…
Q: 6. Prove that 1 cosh(tanhx) : -1 <x < 1. V1- 12
A:
Q: 2. Find an estimate of the root of the equation: 2* + Vx² +5 =20 using regula-falsi method. Ans
A:
Q: I need to integrate 1/(sqrt(a^2+x^2)). If I let t=x+sqrt(x^2+a^2) where t>0, then how do I…
A: The given integral is,
Q: tion k passes through the points (4.
A: Please refer to the image below
Q: 9 In(z² – 1) dz
A: Given: ∫9lnx2-1dx
Q: b) Show that 2x² + 8x + 14 = 2 (x + 2)° +3 by completing the square. Hence, evaluate the integral-…
A: Use integration rules
Q: When integrating (x+3)/(2x^2-3x-3), can I rewrite as integral of ((2x^2-3x-2)^-1)*(x+3).
A: Consider the given integral function.
Q: Convergence can be achieved faster in Newton-Raphson Method. O True O False compared to the Secant
A: Convergence can be achieved faster in Newton Raphson compared to secant? True or False.
Q: Integrate: dz V2x + 3
A: We have to find
Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.
A:
Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…
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Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t
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Q: 4 Find the distance between u = -3and z= - 1 8
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Q: Find the general solution using Methods of Undetermined Coefficient and Variation of Parameters.…
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Q: Explain theorem of Wronskians of Solutions?
A: To Find : Define the Theorem of Wronskians of solution
Q: Express he equation n" = 4y in poar corinaes.
A: Given equation x2=4y
Q: Consider the follow ing LP model: max z = 50x, +100x, X +x, 5 300 | 2x, +x, 5 400 St. X, S 250 X, X,…
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Q: A quadratic equation x--4x+43D0 is defined with an initial guess of 10 and 20. Find the approximated…
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Q: Evaluate 3x3 – 2x2 + 4x – 8 - x4 + 4x2
A: Let the given integral be I - I = ∫3x3-2x2+4x-8x4+4x2dx = ∫f(x) dxThen,f(x) = 3x3-2x2+4x-8x4+4x2f(x)…
Q: -solve by exact (Differeneial Eauanian (8--メう)+ス dy tメ- Xy よx 二0
A: ''Since you have asked multiple questions in a single request, According to guidelines we will be…
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A: Here, integral is,
Q: d Find dt 4x – 2 dx + 20 4t x2 2 – 16t 16t2 + 20 4t – 2 t2 + 20 2 – 4t t2 + 20 8 64t 16t2 + 20 64t –…
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Q: 7. Solve by using an integrating factor. (a) y + 2ty = 2te-t. %3D
A:
Q: Consider a lake with a volume of 8 billion ft³ and an initial pollutant concentration of 0.25%. An…
A: Given that: Volume of lake=8 billion ft3=8000 million ft3Initial concentration of pollutant =…
Q: Integrate: dr z2 + 4z + 8
A: We will integrate the above expression.
Q: biz' dt 2
A:
Q: 38 Show that x² V2x – 3 dx - 35
A: use the formula below to evaluate the given integral.
Q: A body is projected vertically upward such that is height from the ground in feet is h = 50t –…
A: Given, height from the ground in feet is h = 50t – 16.1t2 where t = time in flight in seconds The…
Q: b) Show that 2x2 +8x +14 2(x+2) +3 by completing the square. Hence, evaluate the integral dx. (x…
A: Given that: ∫3(x+2)2x2+8x+14dx
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- Find the root between (2,3) of x3+ - 2x - 5 = 0, by using regular falsi method correct to three decimal places.In a previous question, I had found that I would need 43.5 ounces of beet seed to plant in 3 - 580 foot beds that has five rows of beets each and a planting rate of 0.5 oz of beet seed per 100 feet of row Beets will typically yield one bunch for every 18” of row. If you can sell the bunched beets for $1.50 per bunch, what would be your gross income from the 3 beds? If the beds are on 6-ft centers, what would be the approximate gross income per acre for the beets?Compute. integral (x) / square root(3-2x-x2) dx.
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- Solve for y2 by using reduction of order And for nonhomogeneous using undetermined coefficients linear mathematicsI need general solution for 1, disregard the y denominator in the 1st term Topic: variable separable and homogenous DEThe integral of the square root of the sum of two and the square root of y with respect to y may be evaluated using which formula?