1 By using completing the square, dx can be rewritten as Vx?-4x -7 1 dx V(r- 2)² – 3 1 V(r- 2)² – 11 None 1 -dx V(r- 2)²+3

Q: d°y +9 d²y +24 +16y = 0. Hint: “i" is one dx? dxº dxª of the factors.

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Q: dy If x? + xy – 5y = 5, then at the point (2, 1), dx ||

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Q: dy Find dx given that+y-5y-x² = -4 2x A 3у-2у-5 2х 3y + +2y+5 None of the given choices 2x 3y+2y-5…

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Q: Q5) Evaluate xe-dx 2 -2 a) 1 b) e? c) divergent 3 d)

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Q: By using completing the square / dx can be written a V4 + 2x + x² dx 3 + (r+2)? dr 5+ (r+1)² dx V3 +…

A: Given that: ∫x4+2x+x2dx

Q: which of the following is equation is an exact DE? a. (x^2 + 1)dx + xydy = 0 b. xdy + (3x- 2у) dx…

A: which of the following equation is exact DE? (i) x2+1dx+xydy=0 (ii) xdy+3x-2ydx=0 (iii) 2xy…

Q: If y = Vu+2 and u = 4x - 2, then dy/ dx is 1 (A) 1 B 4x3/2 1 (D x+1

A: We have to find

Q: u du Form Answer 5sinx dx Ex. J a+ 2cOsx 3+ 2cosx -2sinxdx uż du -5V3 + 2cosx + C 3 15. Given: •dx…

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Q: Given y3 – xy2 – x²y=2. Then, at the point (1,2), dy -is Blank 1 dx Blank 1 Add your answer

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Q: 21. du Form Answer u 5sinx Ex. S V3+ 2cosx 3+ 2cosx -5V3 + 2cosx + C dx -2sinxdx Given: J – 3x 3 dx…

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Q: dy_ 1-y dx V1-x? V1-x' +/1-y? = a(x - y), then show that %3D

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Q: dx 3.The f to be solvable must be converted to, х2-5х-6 1 а. dx 1 dx - х-6 x+1 1 b. dx 1 dx - - x+1…

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Q: r/6 c1 .3 y sin z dx dy dz 0. -2

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Q: X - X UIS dx ? %3D 22n „(1-)3 (e) (2n).(2n)! I=u (c) (-1)" (2n+1).(2n+1)! -3 (P) I=u I=u 2n K (a)…

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Q: Question d²y Find if-x2 + 3y² = 4. dx2 Provide your answer below:

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Q: dy Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx Blank 1 Add your answer

A: Derivative with respect to x

Q: (D7 + D° – 2D5 – 2D4 – 7D³ – 7D² – 4D – 4) y = 0 | (D4 – 3D3 + 4D)y = 6 + 80cos2x y" + 4y' + 3y =…

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Q: 3 (d³y dy درجة المعدلة التفاضلية sinx = dx 5. - \dx5 O A) 1 B) 3 C) 5 D) e.w

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Q: Show that y dx = y dx + y dx it must be (a < h< b )if f(x): 2x2 %3| = 3 and b = 10 x-1,ª = 1,h

A: We can solve definite integral by following formula,…

Q: 2f(x)dx = - 4 and | (F(x) + 1)dx =7. Then | (3f(x) – 2x)dx = Select one: а. -2 b. 19 С. 10 d. 13

A: ∫-122f(x)dx=-4 and ∫-13(f(x)+1)dx=7. find ∫23(3f(x)-2x)dx

Q: dy Find given that+y – 5y– x² = – 4 dx 2x (A 3y? + + 2y+5 B None of the given choices 2х 3у? - 2у+5…

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Q: By using completing the square dx can be written as 4 + 2x + x? dx |3 + (r+1)² dx V5+ (x+1)² dx V4+…

A: Given that a integration and we rewritten this denominator by  using completing square. Now here we…

Q: d²y Find and dx then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t2 –…

A: We have to find first and second derivative for the given parametric function.

Q: Q-11 Find the order and degree of the d 3 - d²y \ 2 equation V - 4 = 0. dy dx - dx?

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Q: r (n): u*- 'e*dx %3D ulgn

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: d²y What is the degree of the DE dx2 dy 1+ dx A 1/2 с) 3 D) 2 B.

A: Authoring guidelines:…

Q: dy = -5x+x %3D dx a. -5x++x?+C b. –15x2+1+C 1 c. d. -5x2+1+C

A: we integrate the differential equation by power rule and add integration constant C. The answer is…

Q: ·S A B If D A (x+2)(x-1)² = √2 + x + 1 2 9 3 9 -la 1 I 2 93 1 9 2 9 3 . 2|3 B x-1 + C (x-1)2 (x -…

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Q: 27. 2x[3x + у — у ехp (— x)] dx + [x? + 3у? + exp (-х?)] dy %3D 0. ANS. х?у + уз + 2х3 + уехp (—х?)…

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Q: 18. Apply order reduction to the following differe equation d?u 3 du 3 dx2 x dx ? + c) z? +z = 0 a)…

A: As per your query the solution of the problem 18 has been given in the next step

Q: 1 By using completing the square, dx can be rewritten as Vx-4x-7 1 OA. V(r-2)2-3 1 dx Vr-2)2-11 OB.…

A: We have to rewrite the given integral using completing the square method

Q: Please show step-by-step solution

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Q: dy .? dx %3D Suppose x and y are variables that satisfy the equation x2 – y³ = 12. What is

A: We can find dy/dx as below.

Q: dy Given y- xy2 - x²y=2. Then, at the point (1,2), -is Blark 1 dx

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Q: dy p2 - 9p + 18 = 0 (p = 2) %3D dx

A: The solution is given as

Q: Which of the following is correct? dx dx 2 + C 3x 1 Arcsin* + C 2x { A} S = Arcsin: {C} f V4-9x2…

A: Option C is   correct Answer

Q: If x = 1? +3 & y = t³ -t² then dy - at t = 2 is dx a) 1 b) 2 c) -2 d) 3

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Q: y = Ax tan(X), an dy 3T+3 %3D Find A. 6. 5 7 4.

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Q: (x+1) dx B | dx , the values of A & C respectively are 9. -- (r+2)(x - 1)² = /+ (x– 1)², x- 1 3 (А)…

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Q: Given y3 – xy2 – x²y=2. Then, at the point (1,2), is Blank 1 dx Blank 1 Add your answer

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Q: dx. Find (a) Ans. (a) 1/60, () x/2. (c) 3n

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Q: dy d'y dr -(금+1). When x-4, = 6 and when x = 4, y = 0. dx Find y in terms of x.

A: Here we will find out the required expression .

Q: Q# Which of the following is equivalent to: xarctan(5x)dx = -dx 2(1+25x²) A) -arctan(5x) – | 5x B)…

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Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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Q: (x + 1) | Tr+3 (c) Evaluate dx using the substitution of u = x + 3.

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Q: (a) Interpret the point (1,2) in the context of the situation. North (1,2) East (6,-0.9) for the…

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Q: Find and d²y then simplify whenever possible. dx dx² 1) у %3D 3t5 — 2t x = 4t3 2) y = t-3 – 7 x = t²…

A: As per the request of student 4th and 5th answer has been provided. This question can be solved…

Q: -3, axy + bx°y"; with a and b constant. P is a point given by (1, -1) and it is Let known that dz…

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Q: dy b. If y = V(B1e* – B2 x³ + B3 x + B4 + In(x))5 , then find the dx A1=1 A2=5 B1=4 B2=6 B3=2 B4=1

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.