tunction. a) b) 6- 4- y = f(x) -6 -4 -2 4 6 -2- -4- 2.

Q: Find the generals solution to the following 2nd order Non Homogeneous ODE: x?y" -3xy" +4y=2x?

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Q: Qn 1. Consider the following six points in R²: Aj — (1,0), Аз— (3,0), Аз- (2, V3), В, — (0,3), В, —…

A: (1)  Here we see that A1,A2,A3 do not lie on same line  hence these are in genera position

Q: :

A: We have to find the nature of the given differential equation and find its solution

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Q: Latel I, Vx2 + y² dV,

A: answer is in next step

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A: Explained below

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Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: This question can be solved using the concept of finding the domain and range of a function from the…

Q: If vector T = (x+ y+1)i+ j– (x +y)k then T.curl(T )is

A: We are given vector T.

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Q: In(n+1) n-2 is divergent. The sequence an %3D Select one: True False

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Q: d 4) (1+ x)* = (Logarithmic differentiation) dx

A: We have to find the differentiation.

Q: 1. At which point on the graph of y = e" will there be a tangent line with slope m = 6? (a) at the…

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Q: Find the values of a and b such that f is differentiable at r = 3 and then sketch the graph of f if

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Q: Find the intervals on which fis increasing and the intervals on which it is decreasing. f(x) =…

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Q: Express in sigma notation. (a) a1 = a2 + Az - aq + ag (b) -bo+ b; - b2 + bg - b4 + bg

A: Since, the student has mentioned to solve question number part (a) and part (b), so we are going to…

Q: Given the power series 00 (x - 2)" n = 0 n5 Find the "Radius of Convergence" for the series. A L = 1…

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Q: Find the value of c for which the area enclosed by the curves y = c – x² and y = x? – c is equal 88.…

A: The given question has been solved in detail

Q: y" + 25y = 0, y(0) = 4.6, y'(0) = -1.2 %3D %3D %3D

A:

Q: E 2na". n=0 Based on the Ratio Test, which of the following conditions on x will guarantee that the…

A: Ratio Test : Suppose we have the series ∑ an . Define,                         L = limn→∞…

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* - x has a critical number…

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Q: Demuestra la convergencia o divergencia de las sucesi S2n-11 (3n+1J 2 converge - 3 Converge a 0 1…

A: The given sequence is: 2n-13n+1 Let, an=2n-13n+1

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A: Solution of question is written in below steps.

Q: + 9y = sec 3x

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Q: QUESTION 6 Encontrar la suma de las series infinitas En=o 2 2(-)" in3D0 4 3 -1 4 O O O

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Q: Find the Jacobian of the transformation. x = 5e-Ar sin(20), y = er cos(20)

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Q: Find the four second partial derivatives of the following function. f(x.y)%3D/6+5x+

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Q: Evaluate the integral:

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Q: Given z1 = 2 - 3i, z2 = 1 - i, z3 = 3 + i; find the following a) z1 ÷ z2 ; b) Z2 Zı ; c) z1? ; d) z2…

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Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: We can find the domain and range in the following steps.

Q: Eliminate the arbitrary functions and hence obtain the partial differential equations:   z = f(x *…

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Q: Let f be the function graphed below. If 30 subintervals of equal length are used, write a summation…

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Q: Consider the following. Demand Function      Quantity Demanded p = 500 − 3x      x = 24  Find the…

A: p= 500-3x , x= 24Let Ep be price elasticity of demandEp=px×dpdxdifferentiate p w.r.t xdpdx=-3

Q: 6- I (4x²+1)6dx

A:

Q: Determine whether the series 2 (n + 1)/n converges or diverges. n= 1

A: Explanation of the answer is as follows

Q: . Value of t such that vectors a=, b=, c= are coplanar.

A: Value of t such that vectors a=<1, 1, 1>, b=<2, -4, 0>, c=<1, t, 3> are coplanar.

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Q: (a)the curl and (b)the divergence of the vector field. F(x,y,z)= ln(2y+3z)i+ln(x+3z)j+ln(x+2y)k

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Q: Write five other iterated integrals that are equal to S, L f(x,y,z)dz dx dy.

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Q: b)Let f(x)=sinx. Calculate the arc length of the graph of f(x) over the interval [0,r]. Answer:

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Q: (b) (–1, 1, –V2)

A: