18. The solution of the differential equation 2xy = x² + 3y² when y(1) = 3 is dx

Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: ove that the limit as (x,y) →(0,0) of f(x,y)=(x²-y2)/(x²+y²) does not

A: Topic:- calculus

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Q: 3) The correct solution of the center of mass bounded by x=y² and x= 2y = y² if the density is 6 = y…

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Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Topic:- application of integration

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Q: Determine the centroid of the area bounded by the curves y = 4x + 16, x= -2, x = 5 and x-axis.

A: Given curves are,

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A: Given curve, y=5x from 0 to 4

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Q: 13. dx √ex-1

A: Given: I=∫dxex-1   ...1   As we know that; The Chain Rule: fgx'=f'gx·g'x And ∫1x2+1dx=tan-1x+C

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Q: (d) Ꮭ /2 sin 6 er cos 0 r²dzdrdo

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: e coordinates of a point on a circle with radius 20 corresponding to an angle of 3 your answers to…

A: Topic:- trigonometry ratio in circle

Q: (Laplace transform method) حل نمائید. (x) = = - [ (x -tut )dt 6

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Q: N Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 31+2j-7k…

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: Given: y² = 2x - 2 bounded by y = x-5. The points of intersection of these two curves are {A}…

A: y2=2x-2 bounded by y=x-5

Q: Evaluate [™ªx x cos(x) dx

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Q: √4x+4-√√5x+1 x-3 k B) 1 CO Q18) if f(x)= 2 700 116 D)- 1*3 point A) and if f(x) is continuous…

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Q: 6. The rational function f(x) = + k is transformed to g(x) = -5f(x+3)-1. Which row in the table x-2…

A: We have to find the solutions

Q: Find the integral for positive integers m, n sin mx cos nx dx -T

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

Q: o the nearest tenth. Use SOH CAH TOA 12) A 24° C 11.4 B A) m/B= 67.6°, b=25.6, c = 28 B) m/B= 66°,…

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Q: Q.1) sin³3x dx = #+2 #+24 c) Q.2) If a-1,a+3,a + 12 are consecutive terms in geometric series, then…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: SR f(y-2x²)dA Where R is the region bounded by |x + y = 1?

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Q: Find the following rates of change using a graphical method using the graph shown. a) The average…

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Q: L₁ (r + 1)² dr

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Q: 5 CSC x dx

A: Using following formula

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A: Here M is the point that is 1/3 of the distance from point A to point B. Suppose that d(AB) = x And…

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

Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

Q: Solve the following equations for a a. az+b cx+d = A b. √₁+x+√₁+z=0 ar c. a²x² - 6² = 0

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Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all solutions 0 ≤ x < 2π X = Give your answers as a list…

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Q: 1) (4x + xy²)dx + (y + x²y)dy = 0_2) y' - 2y = 5 3)xxx + y = x

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Q: Q.6) A series E1 (cos(n) n=1 a) Diverge is: b) Converge C

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Q: hand written pl Let A(0,-2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA) 2. m(PB)…

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Q: Find the regions where sinx sx.1

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Q: 19 18. sin x cos x dx 1-3cos 2x dt 1+ e-t

A: The given integrals are;  19) sinxcosx/(1-3cos2x)  18)1/(1+e-t).

Q: 28 Suppose cos(x) = and csc(x) < 0. Give all answers as exact values (no decimals 35 a. The terminal…

A: Use Trigonometric identities

Q: 2 S²₁ (x² x) dx ,

A: To find out the integration.

Q: 3. Let R be the region below bounded by y² + x² = 9 and (y-2)2 + x = 1. (0,3) (a) Set up a (sum of)…

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