Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

Q: Use logarithmic differentiation to find dy/dx. 4 y = x> 2 x* + 4 dy dx

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Q: point C on land such than ZCAB = 44.2°. Find the distance across the lake from A to B. В 506 ft…

A: Given the query is to find the distance between A and B.

Q: Q1 Using a method of reduction to separable equation and reduction to linear equation, find the…

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Q: Suppose that we know that the function f(x) is differentiable at = a, then what must always be true?…

A: We have to choose correct option

Q: Express the repeating decimal as the ratio of two integers. 0.3 = 0.3333. The ratio of two integers…

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Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: 5" converge or diverge? Does the series n= 1 Choose the correct answer below. O A. The series…

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Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

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Q: Select the conic section represented by the equation. x 2 - 5y 2 + 6 = 0

A: Follow the procedure given below.

Q: Find the consumer's and producer's surplus if for a product D(x) = 43 – 5x and S(x) = 20 + 2x .…

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Q: If possible, find AB and state the order of the result. (If not possible, enter IMPOSSIBLE.) -1 6 3…

A: Given A=-16-3504 & B=3209 To find AB:

Q: On the region x2 + y° 0, y > 0, the function f(x, y) = xy has O a) its absolute maximum of 6/3 and…

A: To find the absolute maximum  and absolute minimum of the function f(x,y) in the given region.

Q: Question 3 Find the area enclosed by the curves y y = 2 V1- 9x2 O V5- 9. 2n B 3 5n D 6

A: Solution is given below:

Q: Q2) Find the integral value for the following functions 3x 1. S V1+3x2 dx 2. S(sec(4x) – 1)? dx dx…

A: LetI=∫3x1+3x2dxTake the constant out:  ∫a·fxdx=a·∫fxI=3·∫x1+3x2dxPut…

Q: Prove that lim 1 1 by definition.

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Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Q1 Using a method of reduction to separable equation and reduction to linear equation, find the…

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Q: Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 x} | about the x-axis.

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Q: 00 (x - 3)" n n105n n=1

A: x=8

Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

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Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: The line of intersection of the planes 2x +y - z= 4 and 4x – y+3z = 2 has equation %3D O a) (x, y,…

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Q: Consider the following. y = 4x2 – In(x), (1, 4) (a) Find an equation of the tangent line to the…

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Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x x2-16 2. lim X4 (Vx+5)-3

A: Using l hospital rule.

Q: The spread of a highly contagious virus in a high school can be described by the logistic function…

A: Given problem:- The spread of a highly contagious virus in a high school can be described by the…

Q: 1. Find the exact x-values of any turning points and the exact x-values of any points of inflection…

A: According to our company's guidelines I can only answer first question, since you have asked…

Q: QUESTION 3. a) Find the general solution of y" - 2 --= 0

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Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 circle hyperbola line…

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Q: 6 Determine the interval of convergence for the power series that can be used to represent the…

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Q: QUESTION 2 Assume that we have the following function: f(r1,x2) = 2xf + x5 – 4x1x2 on S = R. Is it…

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Q: What is the largest value of x for which the series (x - 8)" n 4 is absolutely convergent? Answer:

A: FOLLOW NEXT STEP

Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x?…

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Q: :Q1 Solve the second order differential equation Y" – 5Y' + 9Y = 0

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Q: Question You have been asked to design a rectangular box with a square base and an open top. The…

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Q: Let й —, i = where A and B are some constants. Given that ủ + 40 = find the value of the product…

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Q: Evaluate the sum: 2k), for n=21. k = 1

A: We can find the answer as below.

Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

Q: 1 3. S (х+1)(x2+4)2 dx

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Q: Determine wheather the Following g eometric series are convergent or divergent, If they are…

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Q: B) Find for the Implicit function: dx x² - sin(xy) + y² = 5xy

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Q: Find all second-order partial derivatives of the function f(x,y) = x + xy – 5x³ + In(x² + 1).

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Q: Find the general solution of the following nonlinear first order ariable separable O.D.E.: x?dy +…

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Q: etermine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Given: (-5,4,-1) and (-3,-5,0)

Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

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Q: Consider the equation cos(2t) = 0.8. Find the smallest positive solution in radians and round your…

A: We have to find the smallest positive solution.   According to our guidelines we can solve only one…

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

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Q: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

Q: 2. a) Determine the coordinates of all point(s) on the graph of y = 2x In x where the tangent line…

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Q: Exercises 7 Evaluate: 2 (2x - 3)* dx 5 (2) J 1 dx 0*+3 (3) dx x + 9 x In x dx

A: Find the definite integral