Let f(x) = 3x² -6x+7. You must show all your algebra. is worth zero points. a) Find the axis of symmetry. b) Find the intercepts. c) Graph.

Q: Q5/Solve the following ODE using Laplace transform y" - 2y' - 3y = e-2x, y(0) = 2, y'(0) = -1

A: Let's solve differential equation by using Laplace transform.

Q: 9. y" + 2y'- 3y = 1 + xe*

A: The given equation is; y''+2y'-3y=1+xex.

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A: By using differentials, to approximate the change, in terms of π, in the total surface area of a…

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A: To simplify the following expression.w0x5-1

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Q: 6 Find the antiderivative of r' (t) = (est, e-7t, - - 2) Provide your answer below: r(t) = ()i +…

A: We can solve this as follows:

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Q: 8 3х

A: We have to simplify

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A: To find out the differential equation.

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Q: For the function f(x)=6/x, apply the definition of the derivative. Evaluate each of the following…

A: f'x=limh→0fx+h-fxh

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

A: The region is bounded by the curves: y=x3, y=1 and y axis.We need to find the volume of the solid…

Q: 14) I am going to invest my money into two different accounts. The first account gives 4% interest.…

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Q: ƒ(x) = { C = cx + 4, cx² - 4, For what value of c does lim x→→6 x < -6, x ≥ −6. f(x) exist?

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Q: 4. Circles on the first quadrant, tangent to both axes

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A: To evaluate the following limit.limx→-2+ 1-x-1x

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A: Topic = Algebra

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Q: lim ||

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Q: ) At an annual compound interest rate of 3%, how long will it take you to double your money?…

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Q: f(x) = X-6 2 X x° + 5x − 66

A: The given function is; f(x)=(x-6)/(x2+5x-66).

Q: Eliminate the arbitrary constant Y = C₁ e ² x + C₂ e³x. 1.

A: Please refer to the image below

Q: lim x→−2 [x²-2x+5] 6x-1 lim = √√x² x→−2 √x² - 2x + 5 lim = (5(x² − 1)² – 10) X-2

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Q: lim 2"-1 = x-0 A B C D 0 In 2 1 1 In 2

A: limx→0ax-1x=lna

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A: Differentiation of trigonometric ratios which is used in given question.

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Q: Evaluate the limit lim a-(2) a + 2 a+2

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Q: Question Find the antiderivative of r' (t) = {√t, cos (4πt)) that satisfies the initial condition r…

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Q: 3 The possible x and y intercepts of y=- x²-7

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Q: (2.) 123m33 4-3 2

A: Using laws of indices, this can be simplified.

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Q: lim = (5(x² - 1)² – 10) X-2

A: Topic = Limits

Q: Consider the following function. 1 (x - 9)(x - 10) Determine all values of x at which the function…

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