d) f(a)= (2a-1)² 2a + 5a

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Q: Solve the differential equation (1 + y² + xy²) dx + (x²y + y + 2xy) dy = 0

A: Solve the exact differential equation  1+y2+xy2dx+x2y+y+2xydy=0

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A: Please refer to the image below

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A: The integral is given by ∫01tan2xdx To evaluate: The limit using summation that is equal to the…

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Q: y (2x + y 2) dx O a. y (2x + y) = Ce - 2(x + y) dy = 0

A: y2x+y-2dx-2(x+y)dy=0 Lets check for exactness.…

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Q: Evaluate the definite integral 8 6x² +6 -dx

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Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

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A: We have to evaluate the limit.

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Q: 10. Evaluate f(x) = 10-4x for f(3). a) 23 b) 2 c) 22 d) -2

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Given figure  with areas Now V=∫010f(x)dxV=∫03f(x)dx+∫35f(x)dx+∫57f(x)dx+∫710f(x)dx

Q: Pls answer fast 2+2

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Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

A: The given differential equation is; 2(2y2+5xy-2y+4)dx+x(2x+2y-1)dy=0.

Q: Let v = 37 - 47 + 2k. Find ||||. Check Answer

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Q: 2. The piecewise function g(x) is defined as follows (x+2)³ g(x) = cos(x) (x-1)²/2 if x 1. (a)…

A: Please see the below picture for detailed solution.

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Q: Find the Taylor Series generated F(x) = ११० (7-X)12 {'(x) = (2x)10 9 (7-X)10 90 {"(x) = (7-x)" by…

A: To find the Taylor series generated by fx=17-x9 at x=6.

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Q: If C(x) = n=0 ∞ n=0 2n + 1 2n + 2 2n ²n and S(x) = ∞2n+2 2n + 3 n=0 -x²n+ find the power series of…

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Q: Find the area under the curve y 2 I over the interval [1, 4]

A: Find the area under the curve y=2x over the interval [1, 4]

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: What is the general solution to the the differential equation3y "'-y'- 2y = 10e? A B v=C₂₁e (²/³) x…

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Q: Let f(x) = 2log₁(x) f'(x)= ƒ' (6) =

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Q: Which of the following is the complete set of roots of the auxiliary equation fory"'' - 3y "' + 3y…

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Q: I have a question about the problem solved…

A: The explanation of your query can be solved using the concept of function.

Q: TU f2 sin² p cos6 p dp

A: Solution is given below:

Q: Differentiate the following function. You do not need to simplify the derivative. ƒ'(x) = 5 f(x) =…

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Q: π 7. fz sin¹x cos¹ x dx

A: To evaluate the following integral by using Walli's formula.∫0π2 sin4 x cos4 x dx