Compute f'cx) of ×そ9 O f(x)- X-3 at X, = 3 の f(x)= x*+ ラメ+ タメ+1 at Xo=-2 f(x)= 4cos x + 2 sinx at X= O f(x) = 2 Jx at x=1 %3D

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A: To draw a line where white king can move out of a check in the given situation.

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Q: 1. a. Solve the system y = y1 + 4y2 y2 = 2y1 + 3y2 b. Find the solution that satisfies the initial c...

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Q: Vectors are linearly dependent for h = -4.

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Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 5х-2

A: Use the quotient rule to differentiate the given function as in next step.

Q: Q8/ Find th

A: Given,               r=1+sinθ

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A: Fourier transform of the pice wise function

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A: If u is harmonic then it satisfies laplace equation. 

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log1121 b. 4 lo...

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Q: 2. Solve for x. Give answer to three decimal places where applicable. a. x = log 37 b. x = log 10 00...

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Q: 2. Give an example of the following (justify the validity of your examples): (a) unbounded sequence ...

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Q: Y Solve using method of undetermined coefficents (D³+GD°+12D+ 8)y =o when x=0, y=1, y'= -2, y"= 2

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Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

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Q: Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ...+ 2" = 2"+1 – 1.

A: To prove the above statement we can use the method of induction. In which first we show that the bas...

Q: 7k Let ak = Which of the following inequalities is/are true for any positive integer k? k2 +| sin k|...

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Q: Example 4: Sohue: (2+j3)2²+ 4z +4-j6=0

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Q: Use two different paths to demonstrate that the limit: lim(7,9)→(0,0) x*y?+(x=y)?

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Q: If the function y= e O on the interval (-0,00) , determine 7x (X is a solution of y" -ay+ 14 y = a) ...

A: Here given differential equation as y''-ay+14y=0 ......1 or it can be written as y''-a-14y=0D2-a-14y...

Q: 6. f(t) = (7 - e^(12 – 3t))u(t-4). Perform Laplace transform by integration only. A. [(21 + 6s) / (s...

A: Laplace transferom

Q: Exercise 9.3.12. In the formula n = x – y = (x – y)( +y), what is the smallest possible value for a ...

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Q: (R) → M2 (R) defined by adA (B) = AB − BA is a linear transformation. Find bases for the kernel and ...

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Q: 2) dy : %D

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Q: A function and its first and second derivatives are given. Use these to find each of the following. ...

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Q: The function N satisfies the logistic differential equation dt N.), where N(0) = 105. Which of - 10 ...

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Q: For what values of h are the given vectors linearly dependent? -24

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Q: Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), th...

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Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 = 12 - 3x1 + X...

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Q: A real 2 x 2 non-singular matrix A w

A: Given          A=x-3.03.04.0 where x is a real positive number.

Q: I need the sol in 30 min Find the general solution of : X^2 y”-X y’ + 4y = 0 Note : (‘) represent th...

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Q: 4) Let x, y, z E Zg. Prove or disprove the following: Ifxy = xz, then y = z.

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Q: Q5/ Find the moment of inertia about the x-axis of a thin plate of density 8 = 1 bounded by the circ...

A: Given: Density δ = 1Circle x2+y2 = 4

Q: Problems 1-3: always necessarily true. If possible, provide an example to support your statements. B...

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Q: Consider the sequence : 5,15,45,135,... with ao=5 a) Write a recurrence relation for this sequence b...

A: A question based on sequences and series. 

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A: We have to check the given relation is reflexive, symmetric and transitive.

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Q: Starting from the definition of derivative prove that if f(x) = 1 then f'(a) = a2

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Q: V Sove using variaton of parameters recuction of order or (D² - 2D+1) y = e*(e*+)*

A: Please find attachment for the details solution 

Q: Question 3 Determine which vector from the options below is in the plane: 1 I = S + tl 2 - TO Omo

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Q: Vs are in R' and v3 = 0,

A: Given,  if  v1, v2, v3, v4, v5 are in ℝ5, and v3=0.

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A: We have to show that pair of triangles  is similar or not similar.

Q: 3t Find the general solution of the differential equation: y+ 5y= te Use lower case c for the consta...

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Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 , ar...

A: Equation of the surface of revolution of a curve x=f(y), about y axis is given by x2+z2=fy2Here fy i...

Q: etermine whether the given series is convergent or divergent. Justify your answers. (2n)! 2n 1 a) 2 ...

A: We use convergence test for series.

Q: Determine whether the system is consistent. x1 - x2 + 3x3 = -11 -4x1 + 4x2 - 12x3 = -2 x1 + 3x2 + x...

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