y dy Find ·S= √y+2 0²/(√y+2-5)(-5√/y+2+y+21)+C 3 03 (√y+2-3) (5√/y+2+y+24) +C 3 0²/(√y+2−5)(5√/y+2+y+21)+C 0² (√x+2-5) (5√/y+2−y+24) + C 3 using the substitution +5= √y+2-

Q: 4. Perform the following operations: a) (4x²+5x+3)+(3x²–2x+8) b) (3r² –7x+2)(5x²+4x-6) c)…

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Q: What is the solution to this quadratic: x2-6x +9 0 {3) {-3+3i/2, -3 – 3i/2} {-6+6i/2, -6 – 6i/2} {0,…

A:

Q: (a) Solution: Try u = x + y. Then This is separable Thence 1 du dx u² = x² + C 1+ dy dx dy dx = =…

A: Student is not able to understand few steps in the solution so I just have to add these steps.

Q: 3 4 Find /(-12²¹ - ³ - -/-/- 2 √²) dax S 1x³ X x6 + C

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Q: Find /( - 32² + 02 - 3³ + √²) dz 6 3x6 x6

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Q: Find the quotient and remainder of (x' + 8x² + 19x + 13) ÷ (x + 3). A (x² + 11x + 52) R 13 © (x² +…

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Q: Show that Q(4 - i) = Q(1 + i), where i = √-1.

A: To show that ℚ4-i=ℚ1+i. That is we need to show that ℚ4-i⊆ℚ1+i and ℚ1+i⊆ℚ4-i. Here i=-1 that is…

Q: = 1+x T(₁) = 7(x) = 7 (x²) = 4 + 3x. 3-22 2.1 Find T( a +bx+en 2.2. 2 2 = d -x73x T(4-x + from the…

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Q: x = KISS Comb 3 2 15.708×10²³ ± √(15.708x10³)² - 4x150 (-7.5398x106) 2x 150

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Q: A rectangular poster has an area of (2x + 3x - 10) square inches. What are the dimensions of the…

A: We can find the dimension of the rectangle as below.

Q: 2y-52/ (2+6)-(√81)x 10 + (7-(2+3))= The answer is supposed to be a fraction using the computation…

A: Given function is 2y-52/(2+6)-(sqrt(81)×10+(7-(2+3))

Q: 124 · (2x + 4)* 4n +3 5. What is the simplified form of: 2n + 9 8n+11 · 8 • (x + 2)° A) 4 1 C) 2" +1…

A: I have stated the used formulas in the solution.

Q: 04 * (ii) (√3+j) ³. O-16√3+16j O-16√3-16j O 16√3-16j O 16√3+16j

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

Q: x* (8) √**+/+ x2 dx =

A: To evaluate the given integral

Q: 4 ¹ / ( - 6x² + + 6 - ¹ √e) de dx x6 Find + C

A:

Q: 20) f In x x√4 lnx-1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

A:

Q: 2p2 – 7p = 14   p = (7 +  \/273)/4                             b.      p = (-2 +  \/14)/7   p =…

A: We have to simplify the expression 2p2-7p=14.

Q: (В y (62 - (52²-2³)) dz [² (62 − (52² − 2³)) dz + S* ((52² − z³) − 6x) dz 15+ 10+ 5 10 1 2 3 The…

A: Given data

Q: Evaluate using the substitution method. √ dz 2x4 (6 +x5) 4 2 1 [(26²du) - 15 (6+23)² + = = + C +x5)³…

A: Given ∫2x46+x54dx

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

A:

Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: 2. -8p(p -3 - 10p) 5. (6a - 3b)(-2a) 3. m'(m + 2n - 6) 6. -3x(2x - 3)

A: We multiply each follow 2nd step.

Q: 8.Differentiate the following. Do Not Simplify. 6x-x² a) y=√√5x²-3x(5-4x)³ b) y=√1-3x c) y = (x¹ -…

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Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

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Q: d [(9p5+ 16p-8) 15] = 15 (9p³ + 16p-8) ¹4. (45p¹+16) dp True False

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Q: Let F = (Use symbolic notation and fractions where needed.) (6x-2zx²,4z - xy, 8z²x²). Calculate div…

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Q: #5 Compute the equilibrium values for each of the given DDS algebraically and graphically. a) x =…

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Q: A) Write as a sum or difference of two fractions. (x+3)(x- 2) 3) 18 dx (x² +9)(x+3)

A: