Find the following Wronskian: W(2, 5t, -e-2¹, te-2¹) O-160e-4t 04 00 O-160e4 O 160et O-4 O 160e-4t

Q: Find the GCF and LCM for the following terms: 27xty>z°, 6x°y®z³, 4yz.

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Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

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Q: (2.1) Perform the indicated operations: a) (6 m² – 3 m³) (2m + n) b) (5x + 7y) + ( -5x + 2y) c) (2x…

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Q: Simplify the expression completely: (z + 5) (x – 5) (x² – 25) – (z + 1) (z² – 8) = 5) (2- 25)- (+ 1)…

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Q: Evaluate -dx (л — 1)(1? — 6л + 10)

A: The given integral is  I=∫-∞∞2x-1x2-6x+10dx Using the partial fraction , we get…

Q: b. Evaluate (3x - 2) 2

A: Given indefinite integral is  Consider dx=(du)/3" data-mce-style="box-sizing: inherit; user-select:…

Q: (b): Evaluate: (8t³ – 9t² + 10)dt

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Q: Find the Loplace inverse For the Pollowing -10 - 10 S+8S +29 (2 8-3 5+ 3) .

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Q: fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

A: We have to find all x∈ℝ such that the series ∑n=2∞ -5xx+1nx+1n-1+5x+1n+5 is convergent. We know that…

Q: x²+8x 16 12-x- x² 12.) x² – 2x-24 13.) x2 - 8x+15 II

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Q: 3 | (16t3 – 12t? + 6)dt

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Q: 17) Explain why these two quotients are different. Compute each one. (x – 2)* x* - 16 and X-2 x- 2

A: (a-b)2= (a-b)(a-b) and a2-b2=(a-b)(a+b)…

Q: Find integers x and y so that gcd(3953, 1829)=3953x+1829y. x=2,y=5 x=-12,y=-13 x=-6, y=13 x=6,y=-13…

A: Solution:we have to find integers and so that first we find gcd of (3953,1829)here we see that…

Q: Expand and simplify (4 – r) (7 – r) 28 3r + r2 28 + 11r + r2 28 + 3r + r2 O 28 – 11r + r2

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Q: Chow that ॥२ + १n + 3 (nt) (2nt3)(2nt5) (nt 4) 36

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Q: The conjugate of 7/2 + 5 is

A: The complex conjugate of an imaginary number is the number with same magnitude and same real part,…

Q: perform the indicted operation simplifly the result t2-4t+4 / t2-4t-5  x  5-t/t2-4

A: Given expression, t2-4t+4t2-4t-5×5-tt2-4

Q: Multiply (4x + 5)(4x – 5) O 16x2 – 40x + 25 O 16x2 – 32x + 25 O 16x2 + 25 O 16x2 - 25

A: Formula we use. (a+b)(a-b)=a²-b².

Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: Multiply: (a- 2)(2a-1)(a+ 5) A. 2a + 5a -23a+10 B. 2a +5a + 23a+10 O C. 2a -5a- 23a-10 O D. 2a +5a -…

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Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

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Q: 口 1. Simplify:-4(a+b)+5(a-b). O a- 96 O-9a - 9b O-8ab -4a-46+5a- 5b

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Q: 32 Remove parentheses and simplify: [4(x + 3) - 4x] -4(x + 3) 4x A O -2x BO 2co -4x-Da

A: Let's simplify.

Q: Multiply: (æ² + 2x + 1)(x² + 2æ– 1) O gª– 4x² + 2x-1 O 4æ³ +- x² +- 4x-1 O xª + 4x²– 2x + 1 O xª +…

A: Given two polynomials x2+2x+1 and x2+2x-1 , we have to multiply them and get the solution:

Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: √2x-√3y X by rationalize the numerator.

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Q: 1. What is the product of the expression (x - 7) (x - 3)? A. x² + 4? + 21 B. x² - 10? + 21 C. x² -…

A: topic - product of algebraic expressions

Q: 6 - 2(3x + 5) + 7x

A: simplify 6-2(3x+5)+7x

Q: 3x-11 mang má O a. Inkx+6Xx-17+c O b. In x-1)(x+67+c Ocinkx+1Xx-6+c Od. Inx-6)(x+1)+c

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Q: Q: Interpret the yate of change of (31 +S) (4u+2) y = with respect (2x+3) to

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Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: (2). 2 Z√2 5

A: Solution: (z√2)5/(z√2) = {z5(√2)5}/(z√2)                         = z4(√2)4                        =…

Q: Multiply ◄ O x-2 x+4 x²-5x+6 x²+3x-4 O 1x-3 (x-2)(x+2) O (x-3) ² O 1 (x-3)(x-1) (x-3)2

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Q: Find the 11th term of a GP, 2nd term being (b2 – c2) and the 5th term is (b+c)(b – 4)4.

A: I am attaching image so that you understand each and every step.