Question 18 -6 -5 -4 -3 -2 -1 8+ (2) 7 65 4 32 My 1 -1 -2 -3 --4- ✓ to t 1 <[ Ley 2 ton > 3 Find an equation for the graph above. 4 24

Q: Sketch the region R whose area is given by the iterated integral. To Se *6 *3 7- 6- 5- 4- 3- نيا 2-…

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: Umm can this be answered more clearer, I can't really tell what the answer is, and when I put it in…

A: Let's solve.

Q: L(t) The vector parametric equation for the line through the points (1, 2, 4) and (5, 1,-1) is

A: Given points,  (1,2,4) and (5,1,-1)

Q: 5. Use an iterated integral to find the volume of the solid that is bounded above by the plane…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e - 3 y(x) =

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Q: (2xy - x + 2y - 1) dx + (8x² y² -2x + 4xy² − x) dy = 0 -

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Q: Find the area of the region bounded by the parabola y^2=x+3 and the line x - y = -1

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Q: 2. The function ƒ(x) = x² − 4 is transformed to g(x) =— (x² − 4). Compare the domain, range,…

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Q: Find all solutions of the equation 4 cos(3θ + π/4)+2=0 in the interval [0,2π].

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

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: Question 4 An artist has decided to finish their piece of artwork by balancing it on a fulcrum and…

A: Given that y=sinπx+4bounded by x=0,x=2 and y=0Solutiuon :centroid x¯…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: -6-5-4-3-2- 9 10

A: We will solve.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Evaluate x³e¹dx O 4 0-etz ext of¥ + + C + C + C 0e**. + C

A: The given integral ∫x3ex4dx

Q: Find three positive numbers whose sum is 114 and whose product is a maximum.

A: follow the procedure given below.

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

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: For y=x²-9x+8, find dy, given x = 1 and Ax = -0.1. dy = (Simplify your answer.) 5 2d

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Q: | (8z + 4z³ - 6z²) dz? O 16z²+z4-2z³ + C O4z²+z4-22³ + C 16z²+z4+ 2z³ + C O 42² +224 + 2z³ + C

A: Solution: ∫8z+4z3-6z2dzApply the sum rule=∫8zdz +∫4z3dz -∫6z2dz

Q: Determine whether or not F is a conservative vector field. F(x, y) = (my + ²)i + (mx + 7);

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Q: Which of the following graphs is the correct plot of y=- 2 cos(x)? -5+ 3 2 -1 -3 -5 -3 -2 --2 -3…

A: Please see the below picture for detailed solution.

Q: Use vectors to find the fourth vertex of a parallelogram, three of whose vertices are (0, 0), (1,…

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Q: Find the area bounded by the given curves. Use vertical strip x² = y - 1 and x = y - 3

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Q: h(x) = { 3-2 -2 if x≤-1 Cx² + 4x if x>-1

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Q: Examine the function for relative extrema and saddle points. (If an answer does not exist, enter…

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Q: Let f(x) 4x + 25 if x - 5 if x = -5 2 Select all statements below that you agree with. Note: You…

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

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Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 y = -5+ 1…

A: topic- graph of a function

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: We are asked to find the diminishing returns of the point.

Q: Consider the following second-order differential equation. 3y" + 2y' + y = 0 Find all the roots of…

A: We have to find the general solution.

Q: The graph below is the function f(x) -5 t los 6 Find lim Find lim -4 Find lim 3 on e Z→-1- I→-1 2 1…

A: topic- limits

Q: Evaluate the integral. (x6 + 4y³) dy

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Q: The holes cut in a roof for vent pipes require elliptical templates. A formula for determining the…

A: We need to find length and width.

Q: Determine the amount of material in grams that will be left after 55 days. The inital amount of…

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

A: Given that      differential equation   6y''+y'-y = 0      ,        y1= ex3         and…

Q: Evaluate the integral. X √ ² ₁x + (x + 16y) dy

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Q: What is ette-t At- ○ - In [e* O ○ ○ dx e* + C] In [e* + e* + C In [e* e*] + C -In [ee] + C

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Q: Use the binomial series (x + 1)k = 1+ kx + for x < 1 to approximate (² Xx k(k − 1) 2! X- + k(k −…

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Q: 2) y" - y' — 6y = 0. бу

A: Follow the procedure given below.

Q: how long will it take for the money in an account that us compounded at 8% interest to quadruple

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

A: We have to find the general solution of given DE by given family of function.

Q: Determine whether the given set of functions is linearly independent on the interval (-∞0,00). f₁(x)…

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Q: -. Let R be the region bounded by the graphs of the equations y = ln x, y=0 for 1≤x≤e. Set up…

A: A detailed solution is given below.

Q: 8) How many solutions does the equation a. 0 b. 1 X+5 x-3 IX 1 || 4 x²-3x C. 2 d. 3 have?

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Q: 13) x+2 x+4, Which inequality is equivalent to *-*+4? = x-3 x+1 a. treb. 2x² + 4x-10 (x-3)(x+1)…

A: This is a problem related to linear inequalities. Please follow the procedure given below.

Q: A rectangular box with no top is to be built from 1452 square meters of material. Find the…

A: We use the method of langrange multipliers to solve the given problem.

Q: Ga. Draw a direction field for the given differential equation How do solutions appear to behave as…

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Q: Find the limit as k approaches infinity for k ^(1/k)

A: Topic:- calculus