Solve the following ODEs by making an appropriate change of variable: (a) (y² - x²) dy=-2xy, 1-3y - 9x (b) dz 1+ y + 3x dy dr

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A: For given cubic equation first, we will find the roots of equation. so we will get real and complex…

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A: Given: The temperature of point on a plate x2+xy+y2≤1 is model by the function is : f(x, y)=25 x2+y2…

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Q: Q53- X--) (xij-Xi - X.j+X)=Zero 13D 「に )に prove that e to

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A: We can solve the problem by the properties of trigonometry.

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Q: 20. Evaluate: 2x²Vx3 + 1 dx:

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Q: if it was, y- 2X COSX+ tanx2, and it's dy

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Q: A Click Submit to complete this assessment. Question 6 Simplify. a. (-1)(-1) = b. (-1)(-1)(-1) = C.…

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Q: c. csc ¹(-1) d. csc ¹(2) e. cot-¹(√3) of sau voy blo f. cot ¹(1) insgnet mort insnettib visvai zin1…

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Q: f2 x ex dx =

A: Solution is done in step 2

Q: 6. How many negative real zeros does the function f(x) = 625 - + 8x2 - 20 200 - O O or 2 O 1 or 3

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Q: use this graph off to find the solutions to f(x) = 0. 4 6 6 10

A: From the graph we need to find the solution of the equation f(x)=0

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Q: thereducedsystem yBY -t -t it CI

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Q: H.w E X3:- +4

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Q: Let c, d e R and c > 2 + d. Show that the following equation has two distinct real solutions: x + cx…

A: Consider a quadratic equation αx2+βx+γ=0 So the roots of the above quadratic equation are given by:…

Q: 1 5. Find three functions f, g,h that satisfy: f(g(h(x))=

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Q: where is unknown. and X₁, X2,..., Xnd Exp(0) Ho: 0= 2.0 vs. Ha: 02.0 Ô =X 2.2 n 100

A: Given  n=100, sample mean x̄=2.2  Level of significance ɑ=0.05

Q: Find y" for y = -2(x²+6)3 y" = x

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