M y = e x ( ² ₁ + C ₂ x + C ₂² x ²³). c (3).

Q: Example 6: Solve (4x²y³ − 5y4 + 2xy5 − x¹)dx + (4x³y² - 20xy³ + 5x²y4+ 2y)dy = 0 The general…

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Q: Q12 Find (3 in)) is: A)-300) sin(x) B) 3x) cosx ln(3) C)-3(3) sin(x) D) 3

A: 12). The given function is; fx=3sinx   As we know the Chain rule: fgx'=f'gx·g'x And the common…

Q: y = x²+4' at x = 2

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Q: 18 f(x) = x + 2x -1.find (fY(-1) A) S B) 2 앞 -IN

A: I have appended the formula used in solution part.

Q: Evaluate: x²+x-6 lim T-3 r+3

A: Given; Limx--3 (x2+x-6)/(x+3).

Q: V The size of a balloon is changing with respect to time, such that the volume is given by V(t),…

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Q: dr=-4 tdt, when t=0, r=ro 0 r

A: We can find the particular solution in the below steps.

Q: Q12: If x+y=10, then the largest poss Q13:The absolute maximum value of A) has no absolute maximum…

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Q: Q13 If S, 4+ is the nth partial sum for the infinite series find the value of ay A) - B)-- (C)- D)…

A: We can solve this as follows:

Q: b/ by using Chain Rule, the derivative of - sin 2t) is g(t) = tan (5

A: Solution

Q: Calculate r' (t) and T(t), where r(t) = (2t - 7,2 – 5t, 3 + 5t). r' (t) = (2 T(t) = -5 5

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Q: x x + x = 0 x + x 3

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Q: (a) Find an exponential model n(t) = no 2/a for the number of bacteria in the culture after t hours.…

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Q: Question 1 11 Given: y = 6 x³, Find P.S. if y (0) = 2 Ay(0) = 1 Oy = 3x5 + 20x + 20 O y = 3x5 + 2x +…

A: We can solve the differential equation and find the particular solution .

Q: How would you do g(f(x)) using the same numbers for f(x) and g(x)?

A: Give the functions fx=xx-5 and gx=-3x we have to find gfx

Q: esc(x+h)-cscx = A)-cscx cotx B) esex cotx Q18: lim- h A-0 itany C) secx cotx D)-secxcotx Csecy tan²y…

A: As we know the trigonometric formulacsc(z)=1sin(z)  and limh→0sinhh=1 sin(a)-sin(b)=2cosa+b2sina-b2…

Q: Determine the solution of the following first-order separable equation: dy 2xy dx = 1+ y²

A: Our Aim is to determine the solution of the following first-order separableequation given…

Q: Verify which of the following functions are the solutions of the differential equation x" - 4x + 4x…

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Q: Obtain G.S. (xy + x) dx = (x²y² + x² + y² + 1) dy 01/2Ln (x² + 1) + 2/12/2 y2 2 ° In [(x ² + 1) ³²…

A: To find G.S.

Q: If the general solution of (2+²-3y2) y'= 2xyżsy"In|y"+xª = Cy", what is the value of b? (A) 3 B 2 -1…

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Q: a da + b db = 0.

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Q: Write the slope intercept equation of the function f whose graph satisfies the give conditions. The…

A: To write the slope‐intercept equation of the function f whose graph satisfies the given…

Q: on to find the following. below and fill in any answer boxes in your choice. t integer as needed.)…

A: We have to find the following given condition according to the given graph of k(x)

Q: (a) x³ - 2x²-3x-2=0

A: Topic = Polynomials

Q: Simplify the function algebraically and find the limit. x² + 4x-12 lim 2 x 2 x - 4x + 4 Simplify the…

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Q: Interpret the average rate of change. U.S. education expenditure, as a percentage of total federal…

A: We have to compute the average rate of change.

Q: csc(x+h)-cscx h Q18: lim A-0 Q19: If siny = x then = A)-escx cotx_B) csex cole A)secay tany ad du at…

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Q: Obtain general solution of this differential equation (2xy-y)dx+(x^2+x)dy=0

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Q: Q5 -(-) = A) fallaudng series is converges B)3 G 8 D) 1

A: We have to evaluate: ∑k=1∞1k+2-1k+3

Q: Which statements are true for f(x) = log, x, b> 1₂ Select all that apply. As x→ ∞o, f(x) → ∞o The…

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Q: Jo Q4: Th volume whose generated by revolving the region enclosed by the curve y = x² + 1 and the…

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Q: Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no…

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Q: Find the solution for following variable separable equation: dy/dx = (y²-1)/(x²-1), y(0)=0

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Q: 13-16 Use the definition of continuity and the properties of limits to show that the function is…

A: Use continuity concept

Q: 1 10 0 -2 mation x → Ax. 3. Let A 9 3 -4 3 5 1 2 3 0 Find all x in Rª that are mapped to the zero…

A: Given: A=1392103-40123-2305 To find the vector x∈ℝ4 that are mapped to the zero vector.

Q: Set up but do not solve this problem. Draw the shape, label the changing picture with variables and…

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Q: (x² + y² + 1)dx + x(x - 2y)dy = 0

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Q: 12. Let f(x) = -x² and g(x)=1/√√x. Find formulas for fog and go f and state the domain of each…

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Q: Q14 The value of lime The domain of f(x)= Q15 In(1-x²) is A) (-1,1) B)(1,0) C) (-∞,-1) D) (-1) U (1)

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Q: Question 2 Given: 4xdx + ydy + xy²dx + x²ydy = 0, Find C if x = 1, y = 1 | = 2 Ln 2 + Ln 5 = C 2…

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Q: "determine by inspection whether the matrix is invertible."

A: Method of inspection tells us that for a Triangular matrix if all the elements of the main diagonal…

Q: B)Convert r = √2 cos(0-) to cartesian.

A: Given a polar equation as r=2cosθ-π4 We have to convert given equation in cartesian.

Q: Use Gauss Jordan row reduction to solve the given systems of equation. 2x + 3y = 2 and -x - 3y/2 =…

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Q: xy"=e^y'+cos (xy) Nonlinear, 2nd order Nonlinear, 1st order O Linear, 1st order O Linear, 2nd order

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Q: 2 Fi - 3 Fj + 2 Gi + 2 Gj - 3 i = 0  If i and j are Cartesian unit vectors, what is the value of F?

A: The answer is given below

Q: Determine where each of the following functions discontinuous. Explain why. f(x) = x − 2/ 2x^2−3x−2

A: Here we have to find the value of x where function is discontinuous.

Q: I. Write TRUE if the statement is correct and FALSE if not. 1. (0) -Ø 2. (0,1,2) and () are joint…

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Q: 1) Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4…

A: Use polynomial concept

Q: WITH AN EXPLANATION PLEASE. Determine the total differential dH of the function: H(x,y,z) = x^y+z

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Q: Which of the following is the differential equation of the family of parabolas with vertex on the…

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