6) For the following, find the x=2 and give the first Taylor Series, write the in f(x) = ln (x)

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A:

Q: The average cost per item to produce q items is given by a(g) 0.01g²-0.6q+17, for q>0. What is the…

A:

Q: Let f(x) = x for x < 0 and f(x) = sin(x) for x ≥ 0. Match the following. Here DNE means does not…

A: The function is  f(x)=x for x &lt; 0 and f(x)=sin(x) for x≥0

Q: Given f(x, y) Evaluate f(10, 8) f(10, 8) = 70x +90y - 5x² - 4y² - xy =

A:

Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

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A:

Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

A:

Q: A brick wall makes two legs of a right angle, one 32 feet long and the other 72 feet long. A…

A: Let's find maximum area and it's dimensions.

Q: he effectiveness of a certain medical injection is modeled by 0.03t(70−t), where t is time in…

A: Let effectiveness denoted by E E = 0.03t( 70 - t ) E = 2.1t - 0.03t2

Q: Find the area of the given region. Use a graphing utility to verify your result. y = 1 + In x³ X y 1…

A: We can find the area of the region .

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A:

Q: All of the functions below are invertible, except for one of them. Find the function that is not an…

A: a function is invertible only if each input has a unique output.

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Solve the following

Q: 17) The expanded form of the differential operator D(rD-1) is a) xD² b) D² - z e) zD² + 1 d) zD² -1

A: Given query is to find expanded form.

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A: A logarithmic graph is given and we have to find its equation.

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A: Given query is to find the value of the expression.

Q: Inverse Laplace transform of 2 s-5 2 + is s²+16 s³ f(t) = 2cos(4t)-5sin(4t)+t² F(s) = Select one: O…

A: We are required to find if the inverse Laplace transform of F(s) is True or False

Q: Question 18 U= Consider the indefinite integral fesz +3 6x a) This can be transformed into a basic…

A: Solved below

Q: Question 19 Compute the given integral. fre -1² dx = Submit Question > Jump to Answer +C

A:

Q: On the interval shown, for which graph is f' positive and f"' negative? OA. OB. Q O C. z Q 2 OD.

A: To choose the graph which describes the given characteristics

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A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

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Q: Find the linear approximation to the equation f(x, y) approximate f(6.28, 4.16). f(6.28, 4.16) xy at…

A: Given  fx,y=5xy6 The objective is to find the linear approximation to the equation.

Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is L {f(t)} = Select one: O True O…

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: What is the value of 22 1 110 O 21 S 0 x(1-x) dx?

A: Given ∫01x(1-x9)dx   The objective is to evaluate the integral.

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A: To find the length and width.

Q: Solve the problem. 1 -3 0 13 Let A = -4 0 2 and b= 14 4 5-4 -45 Define a transformation T: R³ -> R³…

A: We can solve this as follows:

Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

A: NOTE: Refresh your page if you can't see any equations. . take inverse Laplace

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A: The domain of exponential functions is all real numbers. The range is all real numbers greater than…

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A:

Q: Let y(t) be the solution to Use Euler's Method with time step ntn 00 10.2 20.4 30.6 40.8 51.0 Yn 2…

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Q: sing the method of variation of parameters to olve the nonhomogeneous DE: y" + 6y + 25y = 7+ 2x² we…

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Q: Differentiate the function. y' = y = In ( 16 = 3x²|)

A: we know that   dlnxdx=1xdxndx=nxn-1dconstantdx=0given  y=ln6-3x7

Q: Given f(x) = 13x³ + 18x² - 4x + 22

A:

Q: 18) Determine the annihilator of y-z-efsinz. a) (D-2D³-2D²)y=0 b) (D+2D³ +2D²)y=0 e) (D¹+2D³-2D)v-0…

A: The given equation is; y=x-exsinx.

Q: Sketch the region enclosed by y = 72 and y = 62. Find the area of the region. Question Help: Video…

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Q: DETAILS The velocity of a skydiver, in feet per second, t seconds after jumping out of an airplane,…

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Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t…

A:

Q: (a) nsider the change of variable from cartesian coordinates (x, y, z) to coordi- nates (r, y, 0) in…

A: Please see the below pictures for detailed solution.

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Q: Question 2 ( value problem y" +9y = 5 sin 2t, y(0) = 0, y' (0) = 2. , Consider the initial- (a) Use…

A: To find the solution.

Q: The answer

A: We are asked to find the increase in cost if the production level is raised from 1200 units to 1800…

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Q: Evaluate limx-0 (2 sin x - sin 2x)/(x - sin x)

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Q: Refer to the graph of y = f (x) with secant line PQ and tangent line PS. QR RS OQS O PQ f(x+Ax) O PR…

A: Please see the below answer.