Use the limit definition of the derivative to differentiate the following. Check your answers by using the Power Rule. 8 a) f(x)=x² +9x-2 (b) g(x) =

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Q: Write each expression in the form 2 or 3x for a suitable constant k. (a) (2-x.2-5x) 6/11 (b)…

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Q: 3. Solve the following homogeneous differential equations a. y"-4y'+4y=0

A: To solve the following homogeneous differential equation.Note: Since the student has posted multiple…

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A: 3.34 ) D The altitude is given by

Q: Differentiate y = 7x³ +6

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Q: X 0 1 f(x) 3 2 f'(x) -2 -1 2 X g(x) g'(x) 2 1 2 0 1 2 1 3 5 3 -2 324 320 4 3 4 1 0 4 5 -1 0 4 اس 54…

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Q: d) How long after 1950 will the value of the painting be $6 billion? year(s) (Do not round until the…

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Q: Consider the function f(x) = 2x³ − 6x² - 18x + 9 on the interval [-2, 4]. What is the absolute…

A: f(x)=2x3−6x2−18x+9

Q: Find the eigenvalues of the matrix -40 -18 2 -8 -18 -14 -8 -18 -14, Enter the eigenvalues as a list…

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…

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Q: Find the local linear approximation of f(x) = NITK at to=3 to approximate $3.9 and 1 use it (a) f(x)…

A: f(x)=

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Q: Ift B 9 ft 7.

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Q: Use the second derivative test to find the x-coordinates of all local minima given the following…

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Q: Use a calculator to evaluate each of the following. Give the answers correct to four decimal places.…

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Q: Evaluate 7/8 S 0 11√ 1- cos 8x dx либ

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Q: Find the general solution for y-sy+2y=10 Sin x + 1

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

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Q: Application of De A tank contains 1,200 liters of fresh water. Brine containing 0.2 kg/liter of salt…

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Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x-…

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Q: fe2x sin 3x dx

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Q: 2x + 1 < 5

A: 2x+1&lt;5

Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

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A: Given:- 5x + x4 - 3Standard Form is given by Standard form :- x4 + 5x - 3

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A: To solve the following absolute value equation for .

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Q: intercept (x, y) =

A: we have given function

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Q: Find the linearization L(x) of the function at a. f(x) = cos x, a = 3π/2 L(x) =

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Consider the following. Find its foci. Find an equation of the ellipse. x-2)² + (-2)² 12 smaller…

A: Consider the following. To find the equation of the ellipse.To find the foci of the ellipse.

Q: the account. Each year the account earns 4% interest, and you deposit $7000 into the accou This can…

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Q: 9. Use logarithmic differentiation to find the derivative of the following functions. a. b. C. y' "I…

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Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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Q: 1. Compute the area of the surface obtained by rotating the curve y = √1+ 2x, about the x-axis.…

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Q: Use the chain rule to find the derivative of 6√3x5 + 9x8 Type your answer without fractional or…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5^x2+7x−4

A: To find the average rate of change of the given function on the interval .

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Q: Mr. Almos earned $672.55 in net pay for working 28 hours. He paid $99.60 in federal and state taxes,…

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Q: Suppose the demand for a product is given by D(p) = −4p + 111. A) Calculate the elasticity of demand…

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Q: If 3x² + 2xy + y² = 2, then the value of dx -2 (b) 0 - at x = 1 is (c) 2 (d) 4 (e) not defined

A: The equation of the curve is The value of  at  can be obtained asNow, the point at which we need to…

Q: Find the distance between the points whose coordinates are given. (-6, 8), (-11, 14)

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