1) fx²e-3x dx/

Q: Give the partial fraction decomposition for the following expression. x² - 6x +29 2 X (x - 5)(x-1)(x…

A: we need to give partial fraction of

Q: The function f(x) = 8x + 4x¹ has one local minimum and one local maximum. Algebraically use the…

A:

Q: Differentiate the following: a) y=-x²+x-5 (b) y = 10 + 2 3 (c) y = 2√x - X

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

A: x=6t+5,y=18t−2;−∞<t<∞

Q: 2x + 1 < 5

A: 2x+1&lt;5

Q: Q2. Suppose that rsin(yz²); Apply appropriate chain rule to find W = x x= cos(t), y = t², z=et. to

A:

Q: If lim f(x) = 4 →2 then compute the exact value of x + f(x) lim x→2 Enter your answer as a decimal…

A: The Root Law:The Sum Law:

Q: Solve the absolute value equation for x. (Enter your answers as a comma-separated list. If there is…

A: To solve the following absolute value equation for .

Q: If 3x² + 2xy + y² = 2, then the value of dx -2 (b) 0 - at x = 1 is (c) 2 (d) 4 (e) not defined

A: The equation of the curve is The value of  at  can be obtained asNow, the point at which we need to…

Q: Solve the following homogeneous differential equations a. y"-4y'+4y= 0 b. 4y"+²y = 0, y(0) = 2,…

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Q: Find the particular solution of the differential equation x²y" - 5ay +9y=9x (x > 0) satisfying the…

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Q: Use the properties of logarithms to expand the logarithmic expression. In (34) 94

A: By using the properties of logarithmic functions to expand the expression is     ln(x/94)

Q: Find the equation of the line tangent to the graph of y=4e" at x = 3. Tangent Line: y =

A: Given: To find equation of tangent at a given point, we need to find the slope of tangent at a given…

Q: Match the third order linear equations with their fundamental solution sets. 1. y" - 9y" + 20y = 0…

A: Match third order differential equations

Q: -6 -5 -4 -3 -2 -1 6 5 4 3 2 1 0 -1 -2 3 A G -6 1 2 3 4 5 6

A: From the given graph

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: Find the value of the limit

Q: Solve the separable differential equation for u du dt Use the following initial condition: u(0) =…

A: To solve the following separable differential equation for .

Q: Let F = (z, xy, x² + y²). Compute the work done by the force when moving a particle located at the…

A:

Q: d) How long after 1950 will the value of the painting be $6 billion? year(s) (Do not round until the…

A:

Q: conditions

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Q: Question 3.35) An expert in the housing market tells you that the price of midsize houses in a…

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Q: Find the present value of $4000 payable at the end of 2 years, if money may be invested at 6% with…

A: Given data

Q: If an amount P is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A:

Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

A: Consider the function

Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x-…

A:

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: An area to fence is of 37.5 million square feet in a rectangular field.

Q: 2x dy + y(2 + y²x) dx = 0

A: The given differential equation is

Q: Work of 4 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

A: we need to find out the partial derivatives.

Q: The rectangular coordinates of a point are given. Plot the point. (-6√2,-6√2) 5 -10 -5 (r, 0) = y 10…

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Q: Find the distance between the points whose coordinates are given. (-6, 8), (-11, 14)

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Q: th A formula is given below for the n term an of a sequence {a}. Find the values of A₁, A2, A3, and…

A: A formula is given below for the nth term  of a sequence .To find the values of .

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 5 +…

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Q: Sketch the region of integration of 2 So Soft + S₁² √ √² Then evaluate the integral by first…

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Q: Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down…

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Q: List the four smallest elements of the set. (Enter your answers as a comma-separated list.) {y|y =…

A: {y|y = x2 − 3, x  integers}

Q: Consider the function graphed to the right. Make sure to use the union symbol, U if needed. The…

A:

Q: x 0 1 2 3 4 5 6 7 8 9 f(x) 6 1 3 7 2 5 0 9 8 4 g(x) 6 5374 8 0 1 29 2 9

A: xf(x)g(x)066115233377424558600791882949

Q: SYSTEM: x + y + z = 6 2x - y + z = 3 3x z = 0 -

A:

Q: Simplify the rational expression. 9x³ - 36x² + 6x - 24 16 - x²

A: we need to simplify the given rational expression.

Q: y-values 9 8 7 6 5 4 3- 2 1 If f(x)= = g(x) 41 g(x) h(x) f'(3) -- 2/17 3 2 3 x-values then 4 X…

A: The given function is The formula we use to find the derivative of function f(x) is Quotient rule…

Q: The answers are K=73.333 and L=146.67 Ibs, can you explain to me how to get there?

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Q: 2 L² L² Te Write your answer in exact form. Find xe+3dydx

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Q: (3) Redo Question (2) of Homework 1 using the Exact approach 2xydx + x²dy = 0

A: Given Differential Equation is as follows

Q: Find the present value of $2000 payable at the end of 3 years, if money may be invested at 4% with…

A:

Q: State the Chain Rule, then Let C(x) = f(g(x)). Find C'(1) using the table ow all steps. x f(x) g(x)…

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Q: Find the exact length of the curve. x = 7 cos(t) = cos(7t), y = 7 sin(t) sin(7t), - 0 ≤t≤n

A: x=7cos⁡(t)−cos⁡(7t),y=7sin⁡(t)−sin⁡(7t),0≤t≤π

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x²…

A: Remainder Theorem:If a polynomial p(x) is divided by the binomial x−a,the remainder obtained is…

Q: Find the total differential. 8x + y 3z - 2y dw = W X

A: If W = f(x,y,z) then the total differential of W is given by   +

Q: Multiply: (2+5i)(2−13i). Give your answer in complex standard form a+bi.

A: