Find the derivative of the following function. -8e5x y= 9x+2

Q: Find the general solution of the given differential equation. (1+x)dy/dx - xy = x +x2

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Q: DETAILS MY NOTES SESSCALCET2 6.3.017. 1. [-/1 Points] Evaluate the integral. - - dy y(y + 2)(y-3)…

A: Step 1:Step 2: Step 3: Step 4:

Q: x The function f is shown below. If I is the function defined by g(x) = √ ƒ(t) dt, find the value of…

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Q: Graph y=log2(x+3) 10+ 9 8 7- 6 5 4 3 3 2 1 10 -9 -8 -7 -6 -5 -4 -3-2-1 1 2 3 4 5 6 7 8 7 8 9 10 -1…

A: Detailed graph If you have any questions let me know in the comment box thankyou.

Q: Find a parameterization for a circle of radius 4 with center (-4,-6,-3) in a plane parallel to the…

A: Solution:   Thank you!!! and rate helpful if it is really helpful to you.

Q: 2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following…

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Q: Please see image for the questions.

A: Given that the population increases by 25% each spring and 10000 lobsters are removed each summer,…

Q: review problem please help!

A: If you have any questions let me know in the comment box thankyou.

Q: Find the distance (d) from the point (8, -7, -1) to the plane 3x+5y-3z = -60.

A: Step 1: Step 2: Step 3: Step 4:

Q: Pls help me asap pls pls

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Q: The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2…

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Q: A function is defined on the interval (-π/2,π/2) by this multipart rule: if -π/2 < x < 0 f(x) = a if…

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Q: ds 5. Find a solution to this initial value problem: 3t2, s(0) = 5. dt 6. Find a solution to this…

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Q: Question 6 Find the solution of the exponential equation 100(1.07)² = 500, 000 in terms of…

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Q: please dont use chat gpt

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Q: can you solve this question and explain the steps used along the way

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Q: Let f be defined as follows. y = f(x) = x² - 5x (a) Find the average rate of change of y with…

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Q: A ladder 27 feet long leans against a wall and the foot of the ladder is sliding away at a constant…

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Q: Given f(x)=1/x-1 and g(x)=1/x+3, the domain of f(g(x)) in interval notation.

A: To find the domain of the composite function f(g(x)), we need to determine all values of x for which…

Q: 3. Mary needs to choose between two investments: One pays 5% compounded annually, and the other pays…

A: Let's calculate the future value of both investments to determine which one Mary should choose.For…

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: Calculate these limits. If the limit is ∞ or -∞, write infinity or-infinity. If the limit does not…

A: Step 1:Step 2: Step 3: Step 4:

Q: A graph of the function f is given below: Study the graph of ƒ at the value given below. Select each…

A: Please feel free to ask doubts.Thank You.

Q: 13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15…

A: (a) The cost function C(x) is a piecewise function because the cost per person changes after the…

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: 3. We'd like to know the first time when the population reaches 7000 people. First, graph the…

A: From part 1: Initial population (P0) = 6500Annual growth rate (K) = 0.35% = 0.0035 We know that,…

Q: f'(x)<g'(x), where f(x)=√1-2x and g(x) = In - x

A: If you have any questions let me know in the comment box thankyou.

Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

A: Step 1: Step 2:Step 3:Step 4:

Q: The expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14…

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Q: 1. Solve the initial value problem: y" -11y' + 30y = x³e6x y(0) 11, y'(0) = 36 =

A: Ans page 1:Ans page 2:Ans page 3:Ans page 4:

Q: the correct answer is A could you show me how to solve this using gauss theorem of divergence

A: Step 1: Compute the Divergence of F: div F=∂x∂​(5x−3y)+∂y∂​(2x−5y)+∂z∂​(x2+y2+3z)=5−5+3=3. Apply the…

Q: 12. [0/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.022. Evaluate the indefinite integral. (Use C for…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please refer below

A: Step 1:Step 2: Step 3: Step 4:

Q: 21/solve the following differential equation Using laplace transform y₁ =-y, Y₁(0)=1 y' = Y Y₂(0)=0…

A: Step 1:Step 2:Step 3:Step 4:

Q: 4. Consider the initial value problem y' = 3x(y-1) 1/3, y(xo) = yo. (a) For what points (co, yo)…

A: (Hope this helps)

Q: Find the derivative of the function. m(t) = -4t (6t7 - 1)6

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Q: How would i solve this. More info is that b =1 but it might be better to solve this before making…

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Q: 16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d)…

A: Final Answers(a) x=1(b) x=−9/17(c) x=−2/3,−1(d) x=25(e) x≈2.4(f) x≈0.234

Q: 4c Consider the function f(x) = 10x + 4x5 - 4x³- 1. Enter the general antiderivative of f(x)

A: Step 1:Step 2: Step 3: Step 4:

Q: y'''-3y''+4y=e^2x Find particular solution

A: Please feel free to comment if you have any questions

Q: 6. Given the following graph f(x). (-2,2) 2- -5 -3 -2 (-2,-1) -1 (0,1) -2- 1 (3,0) 2 3 4 5 (3,-1) א…

A: (a) f(−2)This notation suggests the function value at x = -2.Notice that there are two values of f…

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

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

Q: Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = √16x…

A: Step 1: V by Slicing method:   Region bounded by y=16x​ and y=16x2​  The region is bounded by above…

Q: Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x. h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3…

A: Given that : h(x)=(3−5x)3−7(3−5x)2+3(3−5x)−1and g(x)=3−5x We have h(x) as in form of f(x) and g(x)…

Q: Let f(x) = √√x+3 and g(x) = 6x − 2. Find each of the following composite functions and state the…

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Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).

A: Given, f(x)=(5x−9)(x+4) Multiply the terms, f(x)=5x2+11x−36 We need to find the equation of the…

Q: Question Given the following piecewise function, evaluate lim f(x). f(x) = x+1- -2x² - 2x 3x-2 2 x²…

A: Step 1: Step 2: Step 3:The answer is 1.

Q: Total marks 15 4. : Let f R2 R be defined by f(x1, x2) = 2x²- 8x1x2+4x+2. Find all local minima of f…

A: Step 1: Compute the partial derivatives fx1​​=∂x1​∂f​=4x1​−8x2​fx2​​=∂x2​∂f​=−8x1​+12x22​Step 2:…

Q: Solve the problem

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Q: 4. Let F RNR be a mapping. (i) x ЄRN ? (ii) : What does it mean to say that F is differentiable at a…

A: ### (i)Definition of Differentiability:A mapping  F:RN→Rm  is said to be differentiable at a point…