Determine the infinite limit: O -∞ O 8 7-x lim x 4 x² - 2x - 8

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A: In this question, we need to evaluate the given integral.

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A: To find the differential dy of the given function.y=6x+7x

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A: Topic = Derivative

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A: To find the cross product u→×v→ where u→=5i-3j+k and v→=-1, -3, 2.

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Q: 16

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Q: √√√x- S: z 12, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

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Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

A: The given differential equation is; 2(2y2+5xy-2y+4)dx+x(2x+2y-1)dy=0.

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Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8-7-6 -5 4 -3 13…

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Q: You are taking a road trip in a car without A/C. The temperture in the car is 105 degrees F. You buy…

A: Above question is solved.

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Q: Consider the equations of two planes. x + y + z = 0, 8x - y + z-5=0 (a) Determine whether the planes…

A: This question can be solved using the concept of angle between two planes.

Q: Evaluate the Integral using the following values. -206 [³x² dx = 260, [°x dx = 10, [° dx = 2 (22-7x…

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Q: Find the domain and range for the function f(x) = LO T 5 3x 1- e

A: Find the domain and range of the function fx=51-e3x

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Q: Solve the following first order differential equation: dy y² +49 +3 35 4 x² + 2x³-3x² dx == 0 given…

A: Differential equation: 35x4+2x3-3x2·dydx-y2+49x3=0

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A: Given, The demand for a certain product is given by the function D(q)= −2.1q+350 where q is the…

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Q: 5. 6. 7. 8. √√x-1 lim- x-1 x-1 x³-x²-x+10 lim X4-2 x²+3x+2 2x²-x-3 lim x-1x³ + 2x² + 6x +5 lim…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 9x²-4 :) Tax² ² (x² − 4)(x²+4) dx

A: Topic:- application of integration

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Q: (b) If z= 3x² + y² 4xy Hence, Show that find ôz dz dx dy Ox 3 3x a²z y a²z y ổr x ô and =0 8² z 2…

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Q: The shaded region between the graphs of y x I I - 2x² + 20 and y = 3x - 15 is displayed below in 25…

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Q: Problem Set #1. (w/Answer Key) 1. x²y' = x²+1 3y² +1 1. y(y² + 1) = (x² + Cx - 1) X

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Q: Suppose R is the solid bounded by the plane z = 5x, the surface z = x², and the planes y = 0 and y =…

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Q: J 9(x, y, z) dV over solid B. B = {(x, y, z) | x² + y² ≤ 9², x ≥ 0, y ≥ 0,0 ≤ z ≤ 4} and g(x, y, z)…

A: Please see the below picture for detailed solution.

Q: 1 4. f₁² (1-x²) dx 5 2

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Q: 1. Let f(x, y) = y²exy. (a) Find the normal vector to the graph of f(x, y) at (0, 1, 1).

A: Please see the below picture for detailed solution.

Q: 5) each k=1 (- series, find the sum. k - 1 6) k=1 +1) (k+2)

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

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

Q: Find the area enclosed by the lemniscate with equation ² Choose your limits of integration…

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Q: 6. What are the restrictions on the variable for a) x #8 b) x # 4 c) x # 2 d) None of the above 8 2x…

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Q: Consider points A(4, -1, 3), B(3, 1, 6), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

A: The given problem is solved below in detail.

Q: What form of the particular solution is appropriate for the differential equationy'' - y'=4+4e*.

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Q: Which of the following functions will have a dashed line for the graph? y ≤ 4x^2 + 1 y = 4x^2 + 1…

A: Question : Which of the following functions will have a dashed line for the graph? 1. y ≤ 4x^2 + 1…

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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