Given: 5(x + 2) = -3x - 6 Prove: x = -2

Q: The coefficient of gªy³in (5x + y)® is 54 . (C).

A: Here the given expression

Q: Q3: Given that what is (A + B)?

A:

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

A:

Q: 5. 1 de 9+x2

A: Given query is to find the integral of the expression.

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

A:

Q: If x? + 6x – 59 = (x + A)² – B² , then the value of A is

A:

Q: | (8t3 – 12t2 + 6)dt Evaluate:

A: We can evaluate the given integral by using the following formula.

Q: -3(w+1)+8(w-3)=-5w+9+6w

A:

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: s+1 s² + 4s + 13, (t).

A: Inverse Laplace transform

Q: | 2t + 5 | = 4

A: Given: 2t+5=4 Formula Used: u=a,a>0⇒u =a or u=-a

Q: Evaluate: (12t3-9t2 + 7)dt

A:

Q: (b) (-1)" (b)(-1)*+-

A:

Q: (√−81 + 3)(√−25 − 1)

A:

Q: Э3: 4ln(2x+3)%3D In 2+1

A: Given equation: 4ln2x+3=ln2+1 We know that the value of ln2=0.693147…

Q: x3 (x2 + 1)3 dx

A:

Q: (b): Evaluate: (8t³ – 9t² + 10)dt

A:

Q: Vx + x – x

A: We rationalize the numerator

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: What is BD? B BD= 12 A X+6 20

A: Given figure:-

Q: in 100 1 Solve for x:x+16** 5 11 16 + x.

A: Solving for x

Q: Add or subtract as indicated: 8/(x - 2 ) + 2/(x - 3)

A: To add:  8/(x - 2 ) + 2/(x - 3) We need to take LCM first then to solve further.

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

A:

Q: Find the error in the following work. D, x*(2x) - (x - 4)(3x?) = 2x* - 3x + 12x? = -x* + 12x?

A: The symbol Dx is the symbol of the derivative. Hence differentiation of the function helps to…

Q: Q7: Show that 2 + 22 +23+...+ 2n = 2n+1-2, n ≥ 1

A:

Q: 7(p+q+4)=7p+7p+blank

A: Given : 7(p + q + 4) = 7p + 7q + ?

Q: If (n, 15) = 1 and o(n) = 56, find o (75n).

A: Given: n, 15=1 and σn=56.To find: σ75n

Q: why did you let x3 = 2k and not only k?

A: Since in the equation (ii) in the provided solution, x3 has a coefficient of 1/2, this for…

Q: Find L-1 (s+2)2+16 2+16³.

A:

Q: S3 ¹(s²-2s+2)(s²+2s+2)· e. L-11 7

A: In this question, we need to find the inverse Laplace of the given function.

Q: dy Find dr if 4x + 3y? = 25. 2x2 None -2x -2x2

A:

Q: The value of x such that (9) 3x – 12) = (3)2x) is: Select one: а. 12 b. -6 С. -12 d. 6

A:

Q: Find x, and x2.· - 5 - 4 X1 - 55 4 - 5 X2 3 X1 = %3D II

A: To find x1, x2

Q: 11 7 Find Y 12 2r₁²³² + y² = 4 2

A: here is the solution

Q: Suppose that A = {b, c, d} and B = {a, b}. Find: Q6.1 (A × B) N (B × B)

A: A=b, c, d  and  B=a, b Now, A×B=b, a, b, b, c, a, c, b, d, a, d, b&B×B=a, a, a, b, b, a, b, b

Q: 2х — 3 x² – 5x + 6 x + 4 Subtract: x² – 2x – 3

A: Subtract 2x-3x2-5x+6-x+4x2-2x-3: 2x-3x2-5x+6=2x-3x-2x-3 x+4x2-2x-3=x+4x+1x-3

Q: (2r+1)ar +2r+1

A: Given: ∫2r+1r2+2r+1dr

Q: x? + 2x – 2 + x? + 3x – 10 5x + 12 Add: x? + 3x – 10

A:

Q: # show that 18 x +11y = 1188 has solution Since (18₁111 = 1188

A: