39. Using Properties of Definite Integrals Given L fe) dx = 10 and fe) dx = 3 evaluate (a) dx. (b) dx. (c) (x) dx. (d) dx.

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A: Need to find Z1·Z2 and Z1Z2 Given information: Z1=2cosπ4+isinπ4, Z2=3cosπ12+isinπ12

Q: Charter Revenue The owner of a luxury motor yacht that salls among the 4000 Greek Islands charges $5...

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Q: consider the following  5^3x+1 = 3^x-5 a) find the exact solution of the exponential equation in t...

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Q: Given the table of values below, find h'(1) if h(x) = g(x2 f(x)). f(x) f'(x) g(x) g' (x) 1 1 -3 -3 -...

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Q: 2. Suppose that a model rocket blasts off, straight up, at time t = 0, with a vertical displacement ...

A: Note: As students mentioned for only 1st part so I solved 1st part.

Q: - y = x tan x

A: y=xtanxDifferentiate on both sidesThen  dy=dydxdxwhere dydx=ddx(xtanx)                   =xsec2x+tan...

Q: I2x-1 1. \sx+61

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Q: A company has a total budget of $700,000 and spends this budget on raw materials and personnel. The ...

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Q: 4 1 1 4 3. Prove that [(s²t ) ds dt = [ [(s?t) dt ds. 20 0 2

A: Firstly , we can prove left hand side and after that we can prove right hand side. ∫xn dx =xn+1n+1+...

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

Q: Find all solutions to the equation on the interval 0, 27): cos V3 2 T 47 3' 3 47 57 3' 3 * 27 47 5T ...

A: Equation

Q: | +2V dv -5v-3V 2.

A: Solution is given below:

Q: 972+2z-5 Evaluate lim, A. undefined О В. 1 OC. ОС. — -1

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Q: Write an equation for the function graphed below 7.6 3 432

A: Vertical Asymptotes : x = -1 and x = 5 so,the denominator : (x + 1) and (x - 5) Horizontal Asymptote...

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Q: an+1 -to determine if the sequence An +00 Use the ratio- {ne"}, is strictly increasing or strictly d...

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A: Find your answer below 

Q: er the integral is improper. sin(x) 61 + x2 xp O proper O improper Explain your reasoning. (Select a...

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Q: dx 5. Half-Angle Substitution J 3+5cosx

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A: To solve the given integral problem

Q: 1. メ-\ メ+!

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Q: dy Find using implicit differentiation, for the equation x+ y° = 10 is. dx %3D x2 y? x?

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Q: If the Wronskian W of f and g is t'e", and if f(t) = t, find g(t). NOTE: Usec as an arbitrary consta...

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Q: Consider the differentiable functionf with f(4) =; and f'(4) = If g(x) = f(x²), then gʻ(2) = А. 1 B....

A: Given : f(4) = 1/2 f'(4) = 1/3 g(x) = f(x2) Find g'(2) = ? g(x) = f(x2)          (given) Differentia...

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Q: Lim as x approaches 0  1-cos(5x)+sin(3x)/x

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Q: Evaluate ffp(4xy + 1) dA, where R is the region in the upper half-plane bounded by the circles a? + ...

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Q: Find 2- ベ-3 2メ-3 2X+3 X+4

A: Please refer to the image below

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

Q: Sx² – 4x + 1, < 4 15-a, x 2 4 Evaluate the following limits for h(x)= and Justify your answer. %3D (...

A: This is a problem related to limit of the function. Function is called as continuous if it's right h...

Q: Find the total differential of the function f(2, y,) : y + z' df = dæ + dy + dz (y+2)* (y+2)* y+z dz...

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Q: 23. у + ху — ху", у(0) 3D 3 y(0) = 3

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Q: consider the following  5^-x/50=9 a) find the exact solution of the exponential equation in terms ...

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Q: Find the Wronskian of the functions f(t) = 2et sin(t) and g(t) = e' cos(t). NOTE: Your answer must b...

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Q: Determine whether the Series is convergent diveryent.Write or the exact test that you Use. 1t2

A: ∑n=1∞(-1)n1+2nn

Q: dy = 3y + 2t dt %3D Given the above differential equation with the initial condition y(t=D0) = 5.0 a...

A: Solution is written in below steps.

Q: A box is partially filled with liquid. The length of the box is 18 inches. The width of the box is 1...

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Q: dx -3 x(x+1)

A: We know, ∫dxx-a=ln(x-a)

Q: /+v= y, y(0) = 2

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Q: II. Solve the following problems. Find the equation of an ellipse with center at (-2,2), a vertex at...

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Q: Find the Maclaurin polynomials of orders n= 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A: To find the Maclaurin polynomials of orders n=0, 1, 2, 3, and 4 and then to find the nth Maclaurin p...

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Q: Approximating the Area of a Plane Region In Exercises 27–32, use left and right endpoints and the gi...

A: Riemann sum

Q: Find a 2×2 matrix A such that [0                    [-3 1]       and        -2] are eigenvectors ...

A: On solving this we will get-:

Q: 1. f(x) = -2x – 1 %3D

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

A: Answer: The solution is as given below: