1. Fill in the derivative rules learned in class on: d dx [c] = d dx -[e] = = d dx d dx [x²] = = [cf(x)] = d dx d [a] = · [f(x) = g(x)] = dx

Q: I need help with question #9

A: We need to find AD.

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A: As per our guidelines we are allowed to solve only one complete question. kindly repost others.…

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Q: Simplify. 2 X+1 2 x + 1 1 + X 3 + X

A: Topic = Algebra

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A: See this solution in below.

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A: The objective of the question is solving the given differential equations.

Q: 4 2 IF Ø = 2x2² - xy₁ FIND 01111 AT THE POINT (2-2,1)

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Q: III. Eliminate the arbitrary constants of y = c₁ cos3x + c₂sin3x.

A: Given function, y=C1cos(3x)+C2sin(3x)

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A: Euler's Method yn+1=yn+h.ftn, yn where tn+1=tn+h Given dt=h=1, y(0)=2 or t0=0, y0=2, y'=2y+3 or…

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Q: C) f(x)=- --x-21-

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Q: b) g(x) = 11x³ - 4 g ¹(x) = 19

A: Since you have asked multiple question, we will solve one question for you as per our guide line. If…

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Q: e. When is the greatest common factor of two numbers one of the two numbers? Explain your reasoning.

A: Given :   When is the greatest common factor of two numbers one of the two numbers

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Q: sinh(2 ln(c)) = (A) = +2₂/2/2 2c² (B) c² - (C)-2/² (D) c-¹ (E) 0 1 1

A: "According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Factor the polynomial f(x) = x² + 2x - 48. f(x) = The zeros of the parabola are: x= or a= The vertex…

A: We can answer the questions in the below steps.

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Q: f(x) = 1 2x-3

A: See this solution in below.

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A: We have to write the equations of the asymptotes for the function graphed

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A: Given data where,  fx is a one-to-one function.

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Q: If satisfies the IVP y dy dx = sinx, y(0) = 5, then_y(+1) = A. 6.64 OB. 6.84 O c. 6.54 O D. none of…

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Q: What is the solution to the differential equation below:  dy/dx = x2y2 when x > 0, y > 0?  A. y…

A: I am attaching image so that you understand each and every step.

Q: If x= find dx y+2 2y/2y 4. B. B. Find y' if y = (2x2-3)(3x+2) 4x-1 48x³-2x²-8x+15 (4x-1)²…

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Q: Question 13: We suppose that {A = {a, b, c, d and {B = x, y, z, w. What is the function between…

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Q: Determine the solution for the following Bernoulli’s differential equation.

A: Here we have to solve the differential equation.

Q: 3) In the Mickey Mouse Fractal shown below, the first diagram has a radius of 102cm. Each successive…

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Q: Let the the position vector be R(t)=⟨−t,2cos(3t),2sin(3t)⟩. Compute the curvature κ(t).

A: Let the the position vector be R(t)=⟨−t,2cos(3t),2sin(3t)⟩. Compute the curvature κ(t).

Q: (1) A more detailed version of Theorem I says that, if the function f(x, y) is continuous near the…

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Q: S Find the critical points and the inflection points of the following function: f(x) = 3(ln 2x − x)

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Q: 16. dy dx = 4e-3x, y = 2 when x = 0 0

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Q: 495745947949979437 x 7826736386487342622 - 1000000 x 634634662354 + 8766348764410939824383658 x 8483…

A: We can solve this as follows:

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A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: II. Show that y = C₁e²x₁ C₁e²x + c₂e³x is a solution to the DE y" - 5y' + 6y = 0.

A: Find the roots of the DE and then use them in the general solution.

Q: 1. Convert 11111111112 to decimal number by completing the table below: 1 Therefore, 11111111112…

A: The objective of the question is converting binary to decimal.