Simplify. Write your answers in the form of a + bi, where a and b are real numbers. 8 + i -7-5i O A. B. - 61 74 - 61 33 +-i 74 74 33 OC. 74¹ 6174 33 74 i

Q: Use the graph of f(x)= 0 < x -2<8. Enter the exact answer. 8 = Number = y below to find a number…

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A: When the interest on an investment is compounded continuously, the investment grows at a rate that…

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A: The solution is shown in step-2

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Q: 2- Find the following limits: 2023-1 x 1 x2000-x a) lim

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A: (Given)"Note that as per the rules, we are supposed to answer the first question as these are the…

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A: To integrate the function f(x,y,z). = 4z over the portion of the plane x+y+z. = 3zthat lies above…

Q: FI x4 NYI 0₁ F5 F₁ | 7₂ | F₂ |fu|t₂ 00.jo. 40 35 20 50'70 50' 10'30

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Q: Find the general solution to the given differential equation. (Remember the constant of…

A: We have to find the general solution to the given differential equation.…

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Q: Use Newton's method to find the real roots of f(x) = x³ - x - 7.

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Q: Solve it on paper!

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Q: If f(x) = log7 (6x² + 3), find ƒ'(x).

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Q: Consider the region R bounded by the line y = 47 - 9x and the parabola y = 27 — x². - To find the…

A: By the answering guidelines of Bartleby, We can answer only question from multiple questions, please…

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: The linear approximation of a function  at  is .

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Q: specified step size to estimate the value of the solution at the given point x* Find the value of…

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Q: Solve it on paper!

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Q: Find r(t) if r'(t) = tº¡ + e¹j + 2te²tk and r(0) = i + j + k. r(t) = 1\

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Q: dx 43. 13 √√/(1+2x)² 45. ſªx√x² + a² dx (a> 0) 44. fª x√a² − x² dx - 46.77³x¹ sin x dx J-T/3

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Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: 49. 1/2 cos(x-²) X3 - dx

A: The given integral is 49) cos(x-2)/x3, limit from 1/2 to 1.According to bartleby guidelines we solve…

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Q: Given ƒ(x, y) = 2x5 + 3x²y² + y³, find fx(x, y) = fy(x, y) = fxx(x, y) = fay(x, y) =

A: The given function is; f(x,y)=2x5+3x2y2+y3Find fx(x, y), fy(x, y), fxx(x, y), fxy(x, y).

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A: Given that a integration and we solve this integration by using the general property of integral.

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A: Given :- To Determine :- If the given sets of functions is linearly independent on the interval

Q: The gas law for an ideal gas at absolute temperature 7 (in kelvins), pressure P (in atmospheres),…

A: Given the following data,P = 8V = 12n = 10R = 0.0821

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Q: Sketch the graph of f(x) = 6xe*. A. The domain of fis R. B. The X- and y-intercepts are both 0 x- C.…

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Q: What's the answer for B?

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Q: Evaluate the integral. [* (7 +³1 (7t³/²i + (t + 8) √tk) dt

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Q: Find the area of the shaded region. -4 x = y² -3 -2 y 2 -2 -3 y = 1 X = e) 2 y = -1

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Q: please provide in clear format or clear handwritten

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A: The given integral is x2sinx.

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A: Use the Ratio test of the series

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A: Given ,  and

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Q: 35. cos(#1/2) dt

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: S x² sin 2x dx (Integration by Parts) (Ans:-xcos2x + xsin2x + cos2x + C)

A: we have given integration

Q: Find the maximum and minimum values of the function f(x, y, z)=x+2y subject to the constraints y²…

A: The solution is shown in step-2