(z+ y – 1) cos D

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Q: What is the formula that would be used to calculate the trapezoid approximation of ST 2s in x dx usi...

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Q: Find the solution to the following system of equations:

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Q: Use the Laplace formulas to get L{f(t)}. 10) f(t) = sin 2t cos 2t 11) f(t) = sin( 4t + 5)

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Q: 3. Sketch the points determined by the following. (a) Iz+1-i = 2 %3D (b) Im(2z +i) +1=0

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Q: Express 50 C30 as a sum of two terms from Pascal's triangle, each in the form Cr. O 51 C30 +51 C31 O...

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Q: BELOW ARE THE SYSTEMS OF LINEAR EQUATIONS THAT YOU NEED TO SOLVE USING DIRECT INVERSE OR PINVC (USIN...

A: Since you have asked multiple question , we will solve the first question for you. If you want any s...

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing f...

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Q: If g is continuous at a and f (x)=(x² -a' )8(x), find f'(a) 7(x)-r(x,) Hint: Use f'(x1) = lim x-x1 2...

A: Given f(x) = (x2-a2)g(x)

Q: 8. The monthly payment for a $5,000, loan at 6% for 2 years is $221. The monthly payment for a $5,00...

A: In scenario 1, a monthly payment of $221 is being done every month for 2 years, that is., 24 months....

Q: 4) Let F be a field. The derivation f' (T) € F[T] of a polynomial f(T) E a; · Ti e F[T] is defined b...

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Q: Evaluate the integral, if it exists: lim sinx dx r→+z -r

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Q: Discuss the possibilities for the roots to : 2x'-5x - 6x+4 = 0 12. 3x - 5x -x² -8x+4 =0

A: We can use Descartes rule of signs to check the nature of possible roots of the given function, P(x)...

Q: 19. Which of the following polar functions is a limacon with dent? A) r= 2+2 cos 0 B) r= 2+5 cos 0 C...

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Q: Prove by contrapositive: If a+b is odd, then a is odd or b is odd.

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Q: Using the trapezoid quadrature formula (single version), give an approximation of the following inte...

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Q: (a) Solve : 2. at given that : u (0, t) = 0 u (5, 4) = 0 u (x, 0) = sin (xx) using Laplace transform...

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Q: S 10) L -1. 2 s* +2s – 3 11) L-' (s – 2)(s – 3)(s – 6)J 1 12) L' 3 s° +5s,

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Q: If f(x, y)= xe2y +y, evaluate grad f •dr where C is the straight line joining the point (2,0) to the...

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Q: Prove that dz 7-9 (2-2)"dz =0 b,ony integer # -I 2. And Evaluate WHER E Ĉ is the are of the cycloid ...

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Q: 7) L{as° +! 4s 2 ( 4s² 2s – 6 8) L* 2 s* +9 1 9) L¯ 2 s´+3s

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Q: 1. y" – 2y' = sin 4x 2. y" + 6y' + 9y = 1+x 3. y" + 2y' + y = xe-* 4. y" + y = e* + x3 y(0) = 2; y'(...

A: 1.) y''- 2y'= sin4xAuxiliary equation is m2-2m=0⇒m(m-2) =0⇒m=0, 2y(x)= c1+ c2e2xPI= sin(4x)D2-2D= si...

Q: Using Reciprocal Substitution * dx . For x-1 = (1 – t°) + c (1-t) +c O Option 1 Option 2 . 2(1-t)를 +...

A: Reciprocal substitution in the integration will be  x=1z , dx=-1z2dz The integartion will be convert...

Q: Use the Trapezoidal Rule to evaluate the integral S |r| x²dx O 2 O -2 O 1 -1

A: Given Intergral ∫-11xx2dx. We have to find the value of it by using the Trapezoidal Rule. The Trapez...

Q: Solve the linear DE: v dx + (2x + 1 - vx) dv = 0.

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Q: dy The ordinary differential equation x2 - y = x is a separable equation dx True O False

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Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

Q: Discuss following series : 3. +. 4 4 (i) +... o (x > 0) (n+1)" x" (ii) E 2 33 3 3 (iii) 12 1 44 4 +....

A: We have to find the nature of series.

Q: 17. Find the centroid of the volume generated when the area bounded by y =-x² -x-"and y = -x? -x+ is...

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Q: Consider the map T : R3 → R3 given by T(x, y, z) = (x − 2y + z ,−3y + 2z, − x − y + z) and mark the ...

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Q: Given the following simultaneous equations: 7.8x1 + -1.6x2 + 9.1x3 + -8.2x4 +-2.7xs+-4.8 0 -3.5x1 + ...

A: The system of equations given is as follows: 7.8x1-1.6x2+9.1x3-8.2x4-2.7x5=4.8-3.5x1-8.5x2-9.3x3-3.2...

Q: Find the chromatic polynomials of the following graphs (a) (b) (c)

A: Since you have asked multiple questions, we will solve the first one for you. If you want any specif...

Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmoni...

A: 5. (iii)

Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmoni...

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Q: L 3 S

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: Given matrix : 1 c+2 d-12 A=|0 0 5 7 3 b= -2 2 and vector: a) Calculate the inverse matrix: using th...

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Q: Solve the following problems below. 1. A function is given below, what x value maximizes y? y? + y+x...

A: Given: y2+y+x2-2x=5

Q: 3) - 1+ dr dr

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Consider the system of non-linear differential equations dx 2² – 2x – y? + 1, dt dy = TY – 3x. dt Se...

A: Given system of differential equation is dxdt = x2 - 2x - y2 + 1,dydt = xy - 3x

Q: Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmonic c...

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Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmoni...

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Q: Then Lim (x fCX)-5) ?

A: Given limx→24fx=12 We will find the value of  limx→2xfx-5

Q: Fihd the Laplace transform of f (x) = x. Answer: a. b. 2 C. d.

A: Given f(x) = x2

Q: Compute Lf dx, where f(x)=|x|.

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Q: - Given that y, (x) = x-' and y,(x) = x³/2 are solutions of the differential equation 2x?y" + xy' – ...

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Q: F. Evaluate dr, where F = (-6x², 9y², –12z²), and C is the curve: 7() = (t, 12 – 21°, 2³ – 1²), 0 < ...

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