(1) Solve the following Cauchy-Euler differential equations: (a) 4r y"+4ry - y = 0.

Q: Solve for x.

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Q: 4. (2.1) Solve the following equations: a) x² – 3 x = x² – 5x +4 b) 12x? = 25x w2-10 c) w+2 +w – 4 =…

A:

Q: Solve for the following: a) Var(2X−5) when X ∼ U {1,2,…,20}. b) Var(3X−4) when X ∼ U {1,2,…,30}.

A: Given,X~U(1,2,.....20)minimum value=1maximum value=20f(x)=120-1f(x)=119         ; 1≤X≤20

Q: iv) (x+ yi)(3i + 2) = (2x – 3y) + (3x + 2y)i %3D

A: The detailed solution is given below Thank you

Q: test by using integral Solve it 2n 3n2+4 n=1

A: In this problem, we need to solve the given series by using integral test.

Q: Solve an = an-1 +3n² – 3n+1 with A, = 0

A: We will find the solution of given recurrence equation by rearranging terms on the non homogeneous…

Q: The initial concentration of phosphorous (C) in a waste water pond is 107 ppm, as against the…

A: (ii) Consider dCdt+0.06C=0⇒dCC=-0.06 dtIntegrating both sides we get⇒∫dCC=-0.06 ∫dt⇒log…

Q: b) Show that A = 1 3 -2 2 0 -1 3 2 has no inverse. -2]

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Q: Solve the equation In(n²+ 12) = In(-9n - 2) %3D

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Q: Solve for n if P(n,5)=120C(n,3)

A: The objective is to calculate the value of n, for which the following equation is…

Q: Solve the following quadratic by square rooting. 0 = 3z2 + 18 The solutions are and L. L.

A: Answer

Q: Find all values of the following roots. a) (31)¹/2 b) (-i)¹/4 c) (-1)¹/4

A: According to guidelines we can solve only first three subparts, please repost remaining subparts.

Q: 14. If Ax) = X+3 and g(x) =x² + 5, what is f(g(4))? 2

A: We know that  (fog)(x) = f(g(x))

Q: 1 nº 1 (2n-1) ( 2n + 1) 9. b. d. I

A: First we will do the partial fraction and find the nth term of the series as fractions then we will…

Q: 2z Solution for 3* 9 ²² * 27 ²-1 a) -1/2 b) 1/2 c) 1/7 d)-1/7 e) 1/9

A: I have appended the formula used in the solution procedure

Q: Answer the question and gets thumbup plzzzzzz

A: here we use fermat little theorem

Q: d) 4(2x) = 256

A: Given equation .We have to find the value of

Q: 4. Simplify: (i – 1)² – (-i – 1)² + i*, i = v-1

A: Given: i-12--i-12+i4 ,  i=-1

Q: If Ax) = (x – 5)* thenf(x) equals A x-5e х — 10е 2r D 2r + 25 E 2х — 10е

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Q: ixi + (2 – i)r2 = 4 – 3i (1+ i)x1 – 12 =-3 - i

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Q: 6. Show that the quadratic equation ax² + b – a = 0 (a± 0) has two distinct real roots.

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Q: Az = b, where A = (A) 7/6 1/6 (D) [2/3] 1 3 b = 189 11 [Q] X2 Compute projcol(A) (b), the projection…

A: The matrix .The objective is to find the projection of  onto .

Q: Find JA|, IB|, A + B, and |A + BỊ. Then verify that |A| + |B| # |A + B|. 15 0 1 -1 A = 1 -1 0 B = 5…

A: topic - determinant and matrices

Q: B) If A=0 0 |1 0 01 ,1+0 1 0 prove that A- =(A² + (C + A) + (D + I) 0 0 1 1 C and D are constant 014

A: In this question we have to prove A-1=16A2+C*A+D*I where C and D are constant

Q: 42 x2 dx =. V(73 + 14) 42 / (x3 + 14)+ C V 28 V (x3 + 14) + C 14 (x3 + 14) + C 84 / (x3 + 14) + C

A: From the basic integration

Q: Q5) Solve the following 1 1) 4 4

A: (1).  The given inequality is: 110x+7≤10 Now on simplifying this inequality: 10x+7≥110⇒10x+7≤ -110…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.