Find the unique anti-derivative F of 2e5-2e2r +4e7 -3r e2r f(x) for which F(0) = 0. = F(x) F(x) = F(x) = F(x) F(x) 4 F(x) = ¹-21-0 = = 2 = 5ar - 2x 4 --e -5x 4 ¹² + 2x + e- e³x +2 +2x+ -5x 2 -3r e-2r- 2x--e 3 4 +2x+5e 2 -3r -3r - + - 2 15 22 15 2 15 2 5

Q: Evaluate each of the following for x = 4, 7, 9, 8 and 3. ∑x2 ∑x2 – 1 ∑(x2−1)

A: We have given that,  The data set :- x = 4, 7, 9, 8, 3

Q: 5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability…

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Q: Then A-1 If A = 5 1 -16 -3 0 0 0 -1 0 w 00+ 4 -13

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Q: 2. Show that (2) (¹)+(2-1). Can you provide = an interpretation of this equality?

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Q: Set B (x+7)(x-3) 20 20 x+6 x+7 <0 x-5 x+3 20 x-10 1. x-1 x+3 3. 2.

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Q: 1 which of the following is equivalent to 2x-4 O B. -4x²+6x + 5 0 4x²-6x-5 >0 E. 4-2x

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Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: If || v || = 2, what is || - 4v || ?

A: From the given data:

Q: 6.) If x =3, what is the value of the following expression? 3x + 2

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Q: and B = . show that 3 -1 4] (A + B)² # A² + B² + 2AB If A =

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Q: .5 .2 x° + 6,000x² + 1,000,000 lim 5x5 + 5,000x² X→-0

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Q: t. 1190

A: The lines m and n parallel lines and line t is the transverse lines intersecting both the lines.

Q: Expand and simplify    (i) (2k − 3)(k − 2)

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Q: If  A = [ 1   0   0   0 ]      [ -4   1   0   0 ]        [ 1  -1   1   0 ]        [ 7  -2  1   1 ]…

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Q: x |²₁| + |x| = = x - x = ? x² |x-1|

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Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: Solve; |2x  + 1|   x  > - 1 -2 > x > 1

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Q: 上耳 7. 2 2 J ancd Re, .3 4 . 3 find p+Rt[tP+P}+R]+ [P+ (@+R}]reR

A: Given P=2316, Q=1234 and R=1231 1) Q+R=1234+1231         =1+12+23+34+1         =1465 2)…

Q: if fcx) = _X then f (-1) is: |-X

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Q: (2x3 3 X 15

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Q: 2) + 2 <0 IX + 31 4,

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Q: [6 -3 Evaluate | A | for A = 2 3

A: |A| represents the determinant of the matrix A. Let a matrix X=abcd, then its determinant is given…

Q: If 0 <0 < 2n and -12cos20-8 = -17, determine the values of 0

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Q: Write the following into symbols. D: all creatures P(x) = x is a bird Q(x) = x is beautiful Some…

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Q: What is the possible value of (ꟾ -X ꟾ - X2) if (ꟾ -2X + 9ꟾ = 3)? a. -42 b. 42 c. 30 d. -30 e. None…

A: Topic:- basic algebra

Q: If find |A| = A = -1-20 [4+4i-1-21] 3-i

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Q: If  A= [ -2  -1  2 ]       [ 0    2   1 ]       [ -2   1  4 ] A2 = ?

A: We have given a matrix A.  We have to find the matrix A^2

Q: 1. Expand the following expressions: a) (x+1)(x-4)

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Q: prove the following statement.

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Q: If a is a real number and n ≥ 2 is an integer, then which of the following expressions is equivalent…

A: Given expression: an

Q: In these expressions, p and q are positive whole numbers and r is a positive number less than 1. The…

A: p and q are positive whole number. r is a positive number less than 1.

Q: (b) 6 + 7 + 8 + 9 + ... + k

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Q: Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

A: Given: I=∫x+1x2-x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: Write the elements of the following in terms of powers of X: 1. Z₂ / 2.Z₂/ 3.Z3/

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Q: 7x+y=2 -6 -4 -₂ + q 2 6 x X X

A: As we know that; The intercept form of the equation of the line: xa+yb=1 Where, x-intercept:…

Q: c) Given that x 5 wher

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Q: If x2 = 7, then x =________.

A: Given,  x2 = 7, To find 'x'

Q: 5. IS the following statement TRUE or FALSE? If the statement is true, prove it, and it is false,…

A: Introduction: The biggest integer function (also known as the floor function) .:R→Z of a real number…