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 (y + 1) ²] - Ln Ln (x² + 1) (y + 1)² Ln 1 + y + 2Ln (y + 1) = C (x² + 1) (y + 1)² O None of the Choices + 2 y2 2 y2 2 + y = C - y = C + y = C

Q: (6) Integrals 4=e*sinxdr

A: Topic:- application of integration

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: 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: i) Find the 20th term of the sequence 35, 42, 49,..... ii) The sum of the 3rd and the 6th terms of…

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Q: Q6 Q7 Which of the following series is converges 34-1 Α) ΣΕ If limu, 0 then the series Eu C)…

A: p-series Test : Consider the series              ∑k=0∞ 1kp = 11p+12p+13p+...+1kp+...Then,(i) If p≤1…

Q: y = x²+4' at x = 2

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Q: 6.    Use the method of partial fractions to evaluate the integral. (Use C for the constant of…

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Q: Prob 4 Evaluate Лет x→∞0 lim x-00 orctan (ex) 4-ex 1+20x and

A: 1) L=limx→∞arctan(ex) Direct substituting the limit:   L=arctan(e∞) e∞=∞ So, L=arctan(∞) We know…

Q: __ydy 1+ y²2² || dx x when y(2) = 3

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Q: 45° IIDII=23

A: To Find: the component form of vector with magnitude and angle

Q: [1 0 -1 39

A: NOTE: Refresh your page if you can't see any equations. . use the diagonal matrix formula

Q: Find all functions g: R → R such that (fg)' = f'g', or show that there are no such functions.

A: Given: f : ℝ→ℝ, fx=e2x3+7x and g : ℝ→ℝ such that fg'=f'g'. To find: We have to find all such…

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: a/the derivative of the following function is y=x²-sin x

A: Solution )  y = x2 - sin x  Differentiate with respect to x  dy/dx = d/dx( x2) - d/dx ( sin x )  […

Q: 8 Find the area bounded by the parabolas v² = 4x and y² + 12x = 36

A: 8). The given curves are y2=4x and y2+12x=36. Now find the points of intersection between the given…

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 6000 + 10x + 0.15x². (a)…

A: NOTE: Refresh your page if you can't see any equations. . take x=100

Q: Which of the following is not a function? O f = {(1,2), (2,4), (3,6), (4,8), (5,10) O h= {(1,1),…

A: 1) For the function, every input has one and only one output.

Q: Question 8. Use the factor and remainder theorem to find the roots of this equation, f(x) = x³…

A: Given f(x)=x3+3x2-x-3

Q: d 3x²-5 dx 7x+1 +4x²

A: As per Bartleby guideline, we have answered only the first question. If you want to get the answer…

Q: A company supplies a product according to the pricing function, p(x)=0.79x+47px=0.79x+47. The…

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Q: Sketch the graph of the function by first making a table of values. f(x) = x + 2 x -6 -4 -2 0 2 4 6…

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

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Q: Jes − 4y = sinh x

A: Given: y''-4y=sinhx

Q: is the following differential equation homogeneous or nonhomogeneous? y'' - 4y' = -4y.

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Q: nd the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS. y(x) = = Csinx +…

A: Topic:- application of derivatives

Q: 4. Set up an integral for the arc length of f(x) = 2ª + x² on [0, 1]. Do not evaluate the integral.

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Q: Q22: If f(2x-3)=x+1, Q23: If f(x)=√x, g(x)=4-x², then the domain of fog(x) is: A)R B)[-2,2] C) (-∞,…

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Q: 5. 6. 4-3/x lim X→+00 2+5/x lim X--∞ 7. lim X-+00 2/x-1/x² +5/x³ 4-1/x³ (3x/√√x²)+(4/√√x²)…

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Q: Find the LCD

A: To find LCD

Q: In Problems 7-10, xc₁ cost + co sin t is a two-parameter family of solutions of the second-order DE…

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Q: Find an integrating factor for each of the following and solve the equations. Show solutions to come…

A: To find an integrating factor for the given differential equation and to find its solution.2yx2-y+x…

Q: Direction. Write the letter of the correct answer on a separate answer sheet of paper. 1. The…

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Q: 02 01 Q3 Q4 05 Q6 07 Q8 09 Q10 Q13 Q14 Q15 The trigonometric substination to evaluate the integral…

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Q: 1. Find dy for the following implicit function: dx cos([y(x)]² + 1) = 2x. Note: y(x) means that y is…

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Q: Luna has a generous aunt who agrees to donate $50 no matter how long she jumps. Create a table and…

A: Given: We have given that luna earns $50 no matter how long she jumps We have to form the function…

Q: Q12: If x + y = 10, then the largest possible product xy is = A)50 B) 25 C) 24 D) 10 B)-2 Q13:The…

A: Solution

Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4; y" (0) = 17 1) 2) Roots of Auxiliary Equation…

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Q: y = q cos2x+c₂ sin 2x

A: To eliminate the arbitrary constants for the following equation.y=c1 cos 2x+c2 sin 2x

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: a) Calculate the derivative of: f(x) = 2³.cos(3x²). sinh(3x + √√x)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: lim X→0 3x-sinx X

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Q: Evaluate the integrals (9) I sin sin³ (a 0)d0 I

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Q: 5-6 The graph of a function f is given. (a) At what numbers a does lim, f(x) not exist? (b) At what…

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Q: 2. Express the rational function as a sum or difference of two simpler rational expressions. (Note:…

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Q: multiply (2×+8y)^2

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Q: Distance From Home (miles) 8- 7- 6 5 4 3 2 1 1 2 3 Time (minutes) 4 5 6 0 minutes to 8 minutes: 7 8…

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Q: What test involves an analysis of rate of change in Y per single point increase in X and what is the…

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Q: 1 decide whether the intermediate value theorem applies to the given function on the indicated…

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Q: A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1.…

A: Please see the below picture for detailed solution.

Q: Find the following problems, a) Find the volume of the solid generated when the region bounded by…

A: As per guidelines, we must answer only one of the multiple questions given. Therefore, I’m answering…