1) 3 Use reduction of order method with y₁(x) = e³x to find a second solution y2 for the DE: y" - 9y = 0.

Q: A box with an open top is to be constructed from a 4m x 3m rectangular metal sheet, by cutting out a…

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Q: 1.73 × 10-3/7.8 × 10 Express your answer to the correct number of significant figures. —| ΑΣΦ BERERT…

A: The solution is given below

Q: Find all local maximum and minimum values and saddle point(s) of the function. f(x,y) =…

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Q: b) Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11…

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Q: L4Q10.The first term of an arithmetic sequence is 11 and the second term is 16. Find the common…

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Q: Jessica had a loan of $142,000 and made payments of $4,000 at the end of every month to settle it.…

A: In this question, we will use the compound interest formula.

Q: Simplify 8logg(64)

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Q: A coat of paint of thickness 0.5 mm is applied evenly to the surface of a sphere a radius 20 cm.…

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Q: 1. Given the graphs below: -14 The blue graph is r = √√3 sin and the red graph is r = cos 0. Use a…

A: Given :r=3sinθr=cosθ

Q: L4Q12. Write an explicit formula for the sequence: - 2, 2, 6, 10, ... A.an = - 2 + 4n B.an = - 6 +…

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Q: Use the Ratio Test to determine whether an 15" n! Evaluate the following limit. an+1 lim n→∞ an an…

A: This question can be solved using the concept of test for convergence.

Q: (b) The integral (2- (2-sin x)²dz represents the volume of a solid. Describe the solid.

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Q: Which of the following functions is symmetric about the y-axis? A.f(x) = x4 - 4 B.f(x) = x5 - 4

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Q: Question ( correct for the series 3): Which of the following is n=1 Select one: O equals. O equals…

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Q: Consider the following problem. Find the distance traveled In 15 seconds by an object traveling at a…

A: Given:          Velocity vt=20+6cost          time t=15 seconds We need to find the distance…

Q: How many critical points the following function has, f(x, y) = 2x² - 2xy + y²? Select one: None of…

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Q: Use the functions below to find the given value. f(x) = x - 2 8 g(x) = x³ (gof)(-2) =

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Q: Case problem: a) A Cement company hires you to provide financial information to their Finance…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is  and the…

Q: Find f'(x). f(x)= ex+ 5x 3 Inx f'(x) =

A: We have to find the derivative.

Q: Question* An equation of the tangent plane to the surface x² + xy +22²-3-0 at the point P, (1,1,1)…

A: Basic differentiation is used along with the stated formula

Q: Recently, a certain bank offered a 10-year CD that earns 2.16% compounded continuously. Use the…

A: We have to find gross amount

Q: Find f'(x) and find the value(s) of x where f'(x) = 0. f(x) = f'(x) = X x² +49

A: We need to find x values where f'(x)=0

Q: 3) Find the Taylor series for the function g(x) = x²e³x+¹ centered at a = 1.

A: To find the Taylor series for the function gx=x2e3x+1 centered at a=1.

Q: Is the equality T ["(" true or false? Select one: O True O False 8r sin 0 dr d0 = 0

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Q: Suppose (2, -1) is a critical point of a function f with the continuous second derivatives. If fxx…

A: We need to choose correct option.

Q: Find the volume bounded by 3x+2y+z=12 bounded by x=0, y=0, z=0

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Q: Use implicit differentiation to find y', and then evaluate y' for x²y - 3x³ + 8 = 0 at the point…

A: We have to find out derivative

Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = y" - 4y =

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Q: Lect one: True False

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Q: 2. Given a tetrahedron with vertices (0,0,0), (3, 0, 0), (0,6 0), and (0, 0, 4). Express the volume…

A: Given:- A tetrahedron with vertices (0,0,0), (3, 0, 0), (0,6 0), and (0, 0, 4).

Q: Test the series for convergence or divergence. Select the correct answer. The series is convergent…

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Q: If x > y and a are a negative real number, this always applies

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Q: = Find the area A of the region that is bounded between the curve f(x) = ln (x) + 1 and the line…

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Q: 5. Find the specific solution of the differential equation Oy=ex² O y=-1- ²³/2 O y=-ex None of these…

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Q: f(x)=1/x-7 find an equation of the tangent line at the point (-2,-1/9)

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Q: Find c if a=3mi, b=3.5 mi and ∠C=40.2degrees. c=   mi;

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Q: Find the exact values of the six trigonometric ratios of the angle 8 in the triangle. sin(8) "…

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Q: The graph of y = f(x) is shown below (dashed curve). Manipulate the green draggable points to obtain…

A: Given data ÷ Graph of y=fx is shown with dashed line curve. We need to graph  y=2fx+1-4

Q: The series k=1 5( − 1)k+1 - kl.1 O converges diverges.

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Q: Estimate the instantaneous rate of change of y(x) = 2x² + 2 at the point: In other words, choose…

A: To estimate the instantaneous rate of change of yx=2x2+2 at the point: x=-2.

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: We can find the required year in the following steps.

Q: 8) Use the functions f(x) = x² and g(x) = √2-x to find the specified function its domain: a.…

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Q: The table of values represents a polynomial function. X -3 -2 -1 0 1 2 -3 The function is a) quartic…

A: Let's find.  Table of value given.

Q: Model the data using an exponential function f(x) = Abx. f(x) = = X f(x) 0: 1 2 300 90 27

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Q: L4Q5. Find the 15th term of the sequence using the explicit formula: 8 × (3)(n - 1). A.38,263,725…

A: The given term is 8 × (3)(n - 1).

Q: Solve the following equation. [Hint: Change log 4x to base 2.] log2 (x+4) - log 4x=2

A: To solve the equation.

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 15,000 -175p…

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Q: 1 = x², x = 1 Given the region D in R2 enclosed by Sketch the region D Compute the iterated double…

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated…

A: It is given that, y2+3y+2x=0  Find y' and evaluate at point (-5, 2).

Q: -x-y-z Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 3, 0sys In 9, 0≤z≤ In 27) with…

A: Given :Dx,y,z: 0≤x≤ln3, 0≤y≤ln9, 0≤z≤ln27 Tx,y,z=18e-x-y-z