Solve y"-6y+9y= 0, y(0) = -5, y(0) = -10 y(t) =

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A: To evaluate the integralwe need to get the antiderivative of each expressionThe antiderivative of x2…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: - - Given that a = i + j − 2k, b = 2i + 3j+k, and c = 3j — 5k, calculate the following: A. a. b B. c…

A: If you have any help please let me know in comment box thankyou.

Q: Please draw a detailed graph

A: Step 1:  Step 2: Step 3: Step 4:

Q: "l Use implicit differentiation to find Əz and az ах 2 22 ay 3 x ² 2 - x², ² + 22² = 3 y 2 - 5=0…

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Q: the correct answer is Ccould you please show me how to do it using the residue theorem

A: Step 1: Step 2: Step 3: Step 4:

Q: could you explain this pleasethe answer is has sum 1but i dont know how to calculate it

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Q: i circled the correct answer and i did most of the question but i cant figure out how to add both…

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Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: Please refer below

A: We find a piecewise function based on the given graph as follows.  Step 1: Identify the segmentsFrom…

Q: Use Simpson's Rule with n= 4 subintervals to estimate the integral of the square root of x  dx  with…

A: Simpson's Rule is a numerical method used to approximate the definite integral of a function. It…

Q: Could you show why the answer is B Using polar coordinates and the area formula

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Q: 5 4 3 21 N -5-4-3-2 -1 -2 -3 -4 1 2 3 4 5 -5+ Write an equation for the function graphed above y =

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A: The given equation is of the form x225 + y29 = 1. This is the standard form of an ellipse equation.

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Q: Please help on this Math 1

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Q: Consider the functions f(x)=4x-1 and g(x)=sq root of -x+7. Determine 1. f o g(x)  2. Give the domain…

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Q: Is the function f(x) continuous at x = 1? (z) 6 5 4 3. 2 1 0 -10 -9 -7 -5 -2 -1 0 1 2 3 4 5 6 7 8 9…

A: *The function f(x) is continuous at x = 1-> This is the correct answer since the function is…

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Q: Draw the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least…

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Q: 1) Compute the following limit. lim x-0 2 cos(x) 2x² - x4

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Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: Step 1:Step 2: Step 3: Step 4:

Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0. Compute the integral exactly

A: The integral we are trying to solve is:∫02x2dx

Q: chool Which of the following functions describes the graph of g(x)--2√9-x²+37 9 8 7 6 4 2…

A: The given function g(x) = -2√(9-x²) + 37 is a transformation of the basic square root function √x.…

Q: Let h(x, y, z) = — In (x) — z y7-4z - y4 + 3x²z — e²xy ln(z) + 10y²z. (a) Holding all other…

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Q: Find area of the sector

A: To find the area of the sector, we can use the formula:A=2πθ​×πr2     where:A = Area of the sectorθ…

Q: the answer is C, could you show me how to do it

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Q: A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder…

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Q: A: Tan Latitude / Tan P A = Tan 04° 30'/ Tan 77° 50.3' A= 0.016960 803 S CA named opposite to…

A: Given Data:Compass Azimuth (measured): 145.0 degreesTrue Azimuth (calculated): 143.6 degreesCompass…

Q: 4. Evaluate the following integrals. Show your work. a) -x b) f₁²x²/2 + x² dx c) fe³xdx d) [2…

A: Step 1:Step 2: Step 3: Step 4:

Q: If y = /R/cschx + cothx|, 2nd dy 3) ans. aus. dy: x^" [ x² + x^ (1+/nx)/nx] dx + 252 cosh + + C ans.…

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Q: #25

A: 25. Graphically, a function is not differentiable at:Sharp Corners/Cusps (abrupt changes in…

Q: could you explain this as well as disproving each wrong option

A: Step 1:   Step 2:  Step 3:    Step 4:     Step 5: (D).Hence it is false.

Q: Find the distance from the point (-9, -3, 0) to the line ä(t) = (−4, 1, −1)t + (0, 1, −3) .

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Q: Use Simpson's Rule with n= 4 subintervals to estimate the integral of the square root of x  dx  with…

A: Simpson's Rule is a numerical method used to approximate the definite integral of a function. It…

Q: k (i) Evaluate k=7 k=0 [Hint: geometric series + De Moivre] (ii) Find an upper bound for the…

A: (i)Problem Statement:Evaluate the sum of the geometric series:S=∑k=0k=7​(2​1−i​)kSolution:Step 1:…

Q: Solve step by step

A: Lorenz Curve:The Lorenz curve is a graphical representation of income or wealth distribution within…

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Q: #26, #45

A: If you have any help please let me know in comment box thankyou.

Q: 1. The average value of f(x) = ✓ on [1,4] and instantaneous rate of change at x = 16 2. f(x) =…

A: If you have any problem let me know in the comment section.

Q: math help plz

A: Let's analyze the points A, B, and C on the given function g(x):  Let me know if you need further…

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Q: #22

A: Step 1: Step 2:

Q: Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]

A: Approach to solving the question:To find the Fourier expansion of  f(x)=eax in the interval [−π,π],…

Q: by Lagrange theorme find (4) Soultions independed for: 2x (y + z²) P + Y (29 +2²) q = 23

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Q: Solve showing a step by step and the final answer.

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Q: Find the following limit or state that it does not exist. x² +x-20 lim x-4 x-4 Select the correct…

A: Step 1: Select 5 values that should be substituted as the x-value into the equation (the number, 2…

Q: on donne f(x) da fonction derive dhe do fonction fcsos calcule f'(x) orans chacun des Cas sulants: 3…

A: 1.  f(x)=5x−11 Derivative:  f′(x)=dxd​(5x−11)=5    2.  f(x)=−x3 Derivative: f′(x)=dxd​(−x3)=−3x2…