dx 1+ax log 1-ax Evaluate x1-x

Q: Use the principles of mathematical induction to the statement is true for all natural numbers 4+9+ 1...

A: By mathematical induction show that the given statement is true for all natural number . In the proo...

Q: The orthogonal trajectories of y = 9ax is where a is an arbitrary constant y + = 4c 2 Oy +x2 = 9 O y...

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Q: 1. (a) 2re2 (b) t²e'

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Q: (c) Solve the difference equation Yt+2 - 4Y¢+1 + 4Y; = 2(2') + t² Given initial values Yo = 2 and Y,...

A: Using Z-transform

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Q: y"'-3y"+2y'=t+et

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Q: Carl purchases a $399 car stereo at worse time he paid $37 at the time of purchase and agreed to pay...

A: Given that Carl purchases a $399 car stereo at worse time he paid $37 at the time of purchase. Then,...

Q: f(2) = z7

A: f(z) = 12ln(x2+y2) + i tan-1yxHere u = 12ln(x2+y2),    v= tan-1yxux = 2x2(x2+ y2) = xx2+y2,   uy = y...

Q: Consider a utility function of two goods x and y: U (x,y) = A (ax' +by') where A >0, a>0, b>0, r € (...

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Q: 2. The random variable Y = aX + b, a and b nonzero constants have a normal distribution %3D because ...

A: Since you have posted multiple questions. As per our guidelines we are supposed to solve only one pr...

Q: What are the possible rational roots of the equation x + 6x2+ 11x +6 = 0 A.-6, -3, -2, -1 C.+6, +3, ...

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Q: 2. Express as a single power series form: Σ У(п - 2)аn+1(2х — 3)n+1+ > ап-1(2х — 3)п-1 n=0 n=2

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Q: 7. Let G be a group of order 45. Then (a) G has an element of order 9 (b) Ghas subgroup of order 9 (...

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Q: 6. Find the general solution of X Ury -Y Uyy = Uy %3D by using the change of variables: v = x, w = x...

A: Given: The partial differential equation, xuxy-yuyy=uy   To find: The general solution of the given ...

Q: How much was initially invested if the value of the investment is at ₱200,000 after 3 and a half yea...

A: Here, we have to find the initial investment.

Q: What type of sequence is 56, 46, 36, 26, ... ?

A: Given sequence is 56, 46, 36, 26, ........... We have to check the type of sequence is 56, 46, 36, 2...

Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64 +(a...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: We have to find the parametric equation of line which is passes throgh the given point and the perpe...

Q: 2. If 0<t<1and X =(1–1)P+tQ, and P# Q show that LER d(P,X) |P-X| __ P-| d(X,Q) |X-Q| (1–1)|P-Q| 1-1 ...

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Q: 1. What have you noticed in the transformation from exponential equation to logarithmic equation? 2....

A: a) what have you noticed in the transformation from exponential equation to logarithmic equation? an...

Q: Consider the following graph. 6- (4, 4) (4, 4) (1, 2) 2 | (3. 2 3 5 2. 3. (1, 2) 3 4 5 6 -1- 5- (a) ...

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Q: Activity 5 Real Life Appllcation Using Arithmetic Sequence and Geometric Sequence Directions; Make a...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: 1 (1,0) (2,0) -2 -2 4. -2 -2 (0,-3) (0,-3) Rise: Rise: Run: Run: Slope: Slope: 4. 3. 4. 42) 2. -2 -2...

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

Q: 4x^3+48x^2+130x+50 = 0 please solve for X values and show all steps. thank you

A: To find roots of the polynomial, 4x3+48x2+130x+50.

Q: a+b+c=0 such that a|= 3, | b| =5 and c= 20 BLE What is a b +b·c+c•a equal to? 83 (b) - 2. 75 (d) 2 (...

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Q: A pentagonal pyramidal number Pn can be determined using the dot representations of pentagonal numbe...

A: Given: Let us consider the nth pentagonal number is given as follows, n2n+12

Q: Find gcd(2,3+5i) in Z[i], ii. Show that 3 + 4i and 4-3i are associates in Z[i] iii.Determine the spl...

A: (i).

Q: Find the argument of the complex number 3 + 17i 4 4. 47

A: Argument of the complex number

Q: Write the third column of the matrix as a linear combination of the first two columns, if possible. ...

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Q: A pyramid has 157 vertices, how many edges does the pyramid have?

A: A pyramid has 157 vertices, how many edges does the pyramid have?

Q: 3. (a) 5e (b) 2e¬21

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Q: a• (: ; : : ) Then and We say the cycle notation for a is (12)(3 5 4) EXERCISE (worhing with Cycle n...

A: We have to multipling permutations without using ordinary function.

Q: Let V = R? and K = R. Which of the following are subspaces of V? Give reasons for your answers. *)(i...

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Q: Use 1+2+3+...tn=n(n+1) for nzl to Solve or Simplify- a) Use the formula above to evaluate 4+8+12+16+...

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Q: You must determine the area of ​​a swimming pool, for this you have been given the measurements of t...

A: If the value of the function is given at (n+1) equally spaced points  x0, x1, ..........xn then the ...

Q: Compute the subdifferential of f(x) = max(1-r,0), for r E Rn.

A: As per the question we have to find the subdiffernetial of the function f(x) = max (1-x,0) And we wi...

Q: l. A. Determine the validity of the following arguments by using the rule of inference table by stat...

A: "Since you have asked a question with multiple sub-parts, we will solve only the first three sub-par...

Q: 5. Using De Moivre's Theorem, find the identity of sin e.

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Q: 3. (a) 5e (b) 2e-21

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Q: 2. If :|S1, determine the maximum modulus f(:) (a) f(=) =z-2z+3, (b) f(=) == +z-1, (c) f(=)3= :+1 2z...

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Q: Suppose that f : R → R is continuous at c and that f(c) 0 such that f(x) < 0 in the 8–neighborhood ...

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Q: Given that the function f(t+27)= f(t) has odd harmonics only, t 60° 120 3 -2 4 I Calculate b, only I...

A: Given that, ft+2π=ft  has odd harmonics only and t 0° 60° 120° y 3 -2 4  

Q: The operation subtraction on the set of natural numbers N.

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Q: 1 (a) Find a power series representation of 3+ 2x 1 (b) Find a power series representation of [Hint:...

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Q: Please help me solve this problem: (dy/dx) + (y/3) = ex y4

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Q: Find all the complex roots of (-1 – 7i)“/'

A: Given that -1-7i17 To find all of it's complex roots.

Q: 20 Given the equation of the second degree in x: mx? - 2(nm – 1)x + m - 7 = 0, where m is non-zero r...

A: It is given that ;         mx2-2m-1x+m-7 = 0   ,  where m is non zero real parameter. We have to fin...

Q: 0.4. One can purchase a room cooler for Rs. 2400 cash or for Rs. 1200 cash down payment and two mont...

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Q: 8.6. What is the conformal transformation sending the first quadrant onto the unit disk? [Ans. f(2) ...

A: To find: The conformal Transformation that map the first quadrant onto the unit disk. First we find ...

Q: obtain a real root of a“ – 5x+1=0 with a = 0 until absolute error < 0.0001

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