N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential equation xM - YN M + Ny' = 0 has an integrating factor of the form SR µ(z) = Find an integrating factor and solve the given equation. dy (18x + 7) + (6x² + 18x) dx = 0 y μ(xy) 1, 6x³y + 7x3 + 6y³ = c 2 R(z)dz

Q: Find fzyr. f(x, y, z) = x³y5₂6 + xy³ + yºz

A: Given: fx,y,z=x3y5z6+xy3+y6z We have to find fzyx For fzyx we first have to find the partial…

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 = lim t→+∞0 (?, ?) 4t² +5't

A: limt→∞t2+44t2+5, 1t

Q: +x+1 2x² +2+x³+x dx = [Aƒ'(x) − B ln(g(x)] + D, and if A=B<0, then f x+2 -2x + +5In(x + 2) + C 2 x²…

A: Solution of the problem as follows

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A: Solution of given question is written in below steps.

Q: (D² – D − 2)y = cos x

A: Here is the solution:

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Q: 32 96 0 48 If f cos 2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=2x^2-x^3…

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Q: C. y = 5x² + 2, x=0, x=2, y = 0

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Q: 3. S 2 x²+a² x4 = _ (x² + a²) ³² 3a²x3 -dx = + c

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Q: Question 2 Consider using the method of partial fractions to solve rb dx = Sa 2x²+2+x³+x² dx = [Aƒ…

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Q: graph each function using transformations or the method of key points. Be sure to label key points…

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Q: 1. S =dx = -Arcsin x√x²-4x-1 +2 X √5 +c

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Q: 15x² x3-43x - 19 - (x + 1)²(x² - 6x +13) Ax + B S ax²+bx+c The integral What is the value of dx can…

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Q: Find volume of the solid bounded by z = 0, f(x,y) = x² + y², x² + y² = 4², 10y = -6x and 13y = 8x…

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Q: y = 2 x + 2 -3+x

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A: Given point(1,-2,3) Then the equation of the line passing through 1,-2,3 is…

Q: 8. The integral What is the value of A. B. can be rewritten as 15x²x³43x - 19 (x + 1)²(x² - 6x +13)…

A: Let's find.

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: (A) = and B = . Find the vector projection of A D onto 2A - BO O O none of the above

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Q: 7. f(x) = 3√x; [1,4] 8. f(x) = x-2/3; [1,27]

A: We can solve this as follows:

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: Sketch a graph of f(x)=(x-2)² +4 6.

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Q: e2x+Inx² sin x² dx -+fe²x cos x² dx

A: This is a problem related to integration. Based on the general formula we will solve the problem.

Q: Find a power serie CAPS |||| Determine the interval of convergence. (Enter your answer using…

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Q: * Evaluate. [12 [20x cos(5x² - 1)]dx

A: The given integral is   ∫20xcos5x2-1 dx We solve the integral using proper substitution .

Q: P(2,-3,4), Q(4,4,5), T(1,2,7) forms a triangle. find the vector projection of QP parallel on QT.

A: Proj. of QP→ on QT→ = QP→·QT→QT→WhereQP→ = Q-PQT→ = Q-T --------------------------------------------…

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Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

A: Given: fx=36x2-12x+36x-3   As we know that; To calculate the vertical asymptote, equate the…

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Q: Question 6 The IBP formula fudv=uv - fvdu can also be written as fudv+fvdu = uv Which of the…

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Q: Find all real solutions of the equation 2g² = 50. Write your answers as a list, using a comma to…

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Q: 4d³y-13 +6y=0 dy dx3 dx

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Q: /² sin sin ( π/4 x² dx (x²+4)5/2 (Use trigonometric substitution) fe2x+Inx² sin x² dx = = Find f…

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Q: Find the volume of the solid bounded above by f(x,y) = 8x², below by the xy-plane and the sides by y…

A: Volume

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 | ² || = [ i+t²j||dt

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Q: π/4 x³ dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

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Q: Q2) Which of the following series is converge or diverge Σ{"} ,0.7777777777777 n=1 . Σ n=1 27

A: a)=∑n=1∞ n-1n2=∑n=1∞ 1n-1n2{using p-series test:∑n=1∞ 1np converges only when p&gt;1diverges for…

Q: 1. Identify the equations of all the linear asymptotes of f.

A: There are three different types of asymptotes for a function fx: (i) Horizontal asymptote: If we…

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Q: dx tan x +sinx+1 Half-angle Substitution

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Q: Find the area of the region bounded by    x2 = 4 - y    and     y = x -2  Hint: use Vertical strip.

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Q: Method A: Method B: Replacing cosa by 1-sina. Replacing sin by 1- cos². Replacing seca by 1 + tan²…

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Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations?…

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Q: Find the solution of the given initial value problem in explicit form. Determine the interval in…

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