Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4 and Ax = dx = 0.05

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A: This is a problem related to the trigonometric integral calculus. Based on the general fundamental t...

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Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

A: The graph is shown below:

Q: Let k(x) = (4x2)g(x)h(x). Given the following table of values, find k'(1). %3D -1 0 1 3 h(x) 1 -3 0....

A: Use the table and chain rule to differentiate the function. 

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,...

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Q: Write an equation for the function graphed below

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Q: Find the derivative of f(x) = log(-6x* – 6x + 5) at the point x = 2. Provide your answer below: f'(2...

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Q: Q Find Haclaurin Sertedf then fuucboors Ć Sinx

A: Here we have to find the Maclaurin series of the given function,  a) f(x)=11-xb) f(x)=exsinx  

Q: If $1500 is invested in an account at an interest rate of 2.0% per year, find the amount of the inve...

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Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: 2. Suppose g(2) = 8 and g(5) = 512. (a) Write an equation for g(x) assuming it is linear. (b) Write ...

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Q: 1. Complete the table for the sine, cosine and tangent for the special angles in quadrant I. Keep yo...

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Q: Integration by Parts - Volume of a Solid of Revolution Find the volume of the solid of revolution fo...

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Q: Given f(x,y) = 3x sin(3xy). Find fx(3,2). Give you answer correct to two %3D decimal places. Answer:

A: Topic:- partial derivatives

Q: Sketch in the two level curves of: f (x, y) = y+ x² = k _for k = 1, 2.

A: Solution is written in below steps.

Q: Find all the distinct cube roots of 812, then plot the results on an Argand diagrar

A: Cube root of a number

Q: The total cost of producing x items is given by C(x) = 246.74 + | 3t dt- Find the fixed cost and the...

A: The given problem is solved below in detail.

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15+sin(8t), whe...

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Q: H. The population is 900 in the beginning and will grow by 300 people during the next two years.

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Q: 4.- The population of zebra in an area varies around an equilibrium level X.. The population of lion...

A: We will answer to the question 4a only as it is mentioned and demanded. 

Q: Improper Integrals - Integrating a Discontinuous Integrand. In this problem our goal is to determine...

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Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be g= D(x) = 950...

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Q: Expand completely, write all exponents as factors In (x+1) 3 Recall Vx : X = (x – 1) 5

A: Given query is to expand logarithmic expression.

Q: Find

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Q: Find the derivative of y = cos"+8 (x).

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Consider the differential equation dx æ(7 – 6t)e³t dt x + 6 (a) Identify and state the dependent and...

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Q: Let y be defined implicitly by the equation 2x° + 5y- 4x – 7y = -2. dy at the point (1,0). dx Use im...

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Q: 2. Below is part of the graph of 5r³y-3ry? + y³ = 6. If cord pugin points can tangent line Lex)= f'c...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft. If the ...

A: Lagrange multiplier

Q: Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) 0...

A: To find out the asymptotes.

Q: The student council plans to run the annual talent show to raise money for charity. Last year, ticke...

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Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

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Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x Provid...

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Q: Find the derivative of f(x) = In (x* V8 – 6x), using the properties of the logarithm. Provide your a...

A: I have stated the used formulas in the solution 

Q: 2. xps

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Q: 1. メ-\ メ+!

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: The x-intercept is where a graph crosses the x-axis and the y-intercept is where a graph crosses the...

Q: 14) In Problems 12 through 7 , given f(x) and g(x ) are differentiable and continuous everywhere wit...

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Q: Suppose 2700 cm² of material is available to make a box with a square base and open top. a) Show tha...

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Q: 10. dx x2 + 4x + 13

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Q: Determine whether the Series is. convergent divergent.Write or the exact test that you Use.

A: The series divergence test:The simplest divergence test,called the DivergenceTest,is used to determi...

Q: Given F(2) = 5, F'(2) = 1, F(3) 4, F'(3) = 4 and G(3) = 2, G' (3) = 2, G(4) = 6, G'(4) = 4, find eac...

A: Given that,F2=5, F'2=1, F3=4, F'3=4G3=2, G'3=2, G4=6, G'4=4

Q: (a) | (2x cos y + sin x) dx 6. */2 (b) I| (2xcosy+ sin x) dx dy

A: Solving integral 

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

Q: 3. You may use your graphing calculator for this problem. Make sure to explain your answers, includi...

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Q: Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 ...

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Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

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