y = (2x₁³ - 6) 9 3 Find day 3 dx²

Q: Evaluate Integrals [(yex - Inyx) dx

A: Follow the procedure given below.

Q: 5. Find the 6th term of the recursive sequence defined by a₁ = 0, an+1=2a₁ +3.

A:

Q: Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 14…

A:

Q: The linear functions f(z). g(z) and A(z) are shown below JJJ K By multiplying a combination of the…

A:

Q: XD² +8D³² +16) y = _ sinx Ans: Y = C₁ cs2x+C₂ Sin2x + C3 Xcos2x + 4x sin2x = 1/-_sing

A:

Q: Find k, given f(x, y) = k(y² + xy) and [ [ f(x, y) dxdy = 54 R R=0 < x < y < 2

A: Given problem:- Find k, given f(x, y) = k(y² + xy)  And ∫∫R f(x, y) dx dy=54 where R…

Q: Find the area of the surface generated by revolving the curve about the given axis. (Round your…

A: Solve the following

Q: Jo (ye* - Inyx) dx

A: The given integral: ∫yex-lnyxdxWe need to evaluate the integral.

Q: Convert the point (p, 0, b) = (4, :) 5T 5T " 3 6 expressions, or decimals to at least one decimal…

A:

Q: Solve the following ODES by Inverse Operator method (-1) A (D² - 2D +1) y = x e sinx X Ans, Y CÁCếtế…

A: Solve ODE by an inverse operator. Given information: The differential equation is D2-2D+1y=xexsinx

Q: j dx (2x-3) 15-12x+cx 2

A:

Q: Find the limit, If it exists. (If an answer does not exist, enter DNE.) x² + y² lim (x,y) → (0,0) x²…

A:

Q: Let f(x) = x^2 + 3x^2 + 9. d) The absolute maximum value(s) of f(x) and the absolute minimum…

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 2

A:

Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 9xy³. fiz(x, y) fry (x, y) =…

A: To find out the double partial derivatives.

Q: Compute the gradient vector fields of the following functions: A. f(x, y) = 1x² +10y² Vf(x, y) =i+ j…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the general solution of the given differential equation. dy dx y(x) = = 3y 3y² 2 + Cx Give the…

A:

Q: The indicated function y(x) is a solution of the associated homogeneou Yp(x) of the given…

A: We will solve the given differential equation.

Q: Find the general solution of the given second-order differential equation. y" - 6y' + 10y = 0 y(x) =

A:

Q: Find the area of the surface formed by revolving the polar equation over the given interval about…

A:

Q: Use the information below to sketch the function. There is a horizontal asymptote at f(x)=1 The…

A:

Q: Consider the following. u = (2, -1,0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal to…

A:

Q: 9 -25 -49 + 8 = 2*+* 3X 2X - 2X Ans: y = c + czxe + cze L 25 -3X e + x + x + ½

A: See this solution in below

Q: Find the area bounded by the curve y equals to x to the fourth between the lines x minus two and x…

A:

Q: A real estate office manages an apartment complex with 50 units. When the rent is $650 per month,…

A:

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 3), b = (-1,…

A:

Q: If $500 is invested at 4% interest, compounded annually, then after n years the investment is worth…

A: We need to find out that after 6 years what will be the invested amount become.

Q: Consider the parallelepiped with adjacent edges Find the volume. V = u = 5i + 2j + k v=i+j+ 7k w = i…

A:

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: A detailed solution is given below

Q: For the following sequence, give an explicit formula for the nth term for n ≥ 2. an 2 a₁ = 2, an+1 =

A: We are asked to find the explicit formula for the sequence.

Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We need to find differential operator.

Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A:

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A:

Q: For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

A: First of all we have to find the derivate of the given function then for the horizontal tangent we…

Q: Find the angle 9 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A:

Q: 1. For the following sequence, give an explicit formula for the nth term. 4 9 16 25 36 49 1' 3'9…

A:

Q: (b) Find the solution of the initial value problem dy dx Type your answer here: कर - xy = x²…

A:

Q: Convert the point (x, y, z) = (-4,- 4, 4) to cylindrical coordinates. Give answers as positive…

A:

Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

Q: For the sequence, determine if the divergence test applies and either state that lim a does not…

A:

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A:

Q: Find the surface area of the torus generated by revolving the circle given by r = 2a about the line…

A:

Q: e Determine the equation of the tangent line to y=x2(√x+x la a C C C C C C C

A:

Q: Find the inverse LaPlace transform F(s): s+2 2 s - 4s + 13

A: Solve the following

Q: Rewrite the expression as a sum, difference, or product of logarithms. log 4 10x O log2 10 + log2 x…

A: To rewrite the expression

Q: Consider the following. u= (-10, 0, 4) v=(3, 3,0) Find u x v. (12.12.30) Determine if u x v is…

A:

Q: 1²e¹dV where E is bounded by the parabolic cy E

A: the answer is give in step2

Q: Find an equation of the plane. The plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1)

A: