3 (b) / 2³ x³ cos(x¹ + 2) dx

Q: dy dx X2 (1+y2)

A: Let's solve given diffrential equation.

Q: RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁-…

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Q: . Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Topic:- function  and application of integration

Q: e) Evaluate the following limit at infinity and show your work. 3x3-4x a) lim x→∞ x²-2x³

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Q: Find the derivative of the function at P in the direction of A. f(x,y,z) = xy + yz +Zx, Po(-3,3,-2),…

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Q: 2. f(x) = x³ senx cos x

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Q: C. In5 x ,2 X limx→+⁰

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Q: 4.) Sketch the graph, not by plotting points, but by starting with a standard function and applying…

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Q: xy a. Compute the first- and second-order partial derivatives of f(x, y) = xe with respect to both x…

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Q: UZ. A curve C is defined by the parametric equations x=²-31, y=3²-9, -2<1<2. a) Find the points…

A: According to our answering guidelines we can answer 3 subparts at a time, rest you can repost later,…

Q: M8 1 Σ n=1 h n’ + 8 +8 3

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Q: - contains 7 light bulbs of which 4 are defective, and box B contains 6 light bu ght bulbs are…

A: Please refer to the image below

Q: 12 Two towers AB and PQ stand on level ground. The angles of elevation of the top of the taller…

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Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: lim.. lim X→+∞0⁰ In5 x x² In 1000 X 5 X X→→→→+∞0

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Given query is to find the attached population after 15 years.

Q: A lamina occupies the part of the rectangle 0 ≤ x ≤ 1,0 ≤ y ≤7 and the density at each point is…

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Q: 1 s¯¹(x) 2 cos √1-x² -dx

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: 5) Find the volume of the parallelepiped defined by vectors u = [1, -3, 6], v[-2, 5, 6] & w = [1, 2,…

A: Calculating the volume of parallelepiped

Q: Convert each pair of polar coordinates to rectangular coordinates  1. (2,150)  2. (4, 7 pie/ 4)

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Q: 2 √₁² √√x² - 4x + 8

A: The solution is given in the next step.

Q: e này n 2

A: For the series ∑an the series is convergent or divergent is given by the ratio testlimn→∞an+1an=L…

Q: Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 = ƒ'(2) = g'(2)…

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Q: From 7 consonants and 5 vowels, how many words can be formed consisting of different consonants and…

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Q: dy Assuming - 2x³ + 8y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dx dy…

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Q: write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: 8 n=1 (−1)n-¹ 3 + 5n

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Q: Exercise (1-3): By Charpit method solve the following PDE (1): p²x+q²y=z

A: This is a problem related to partial differential method. Based on the general formula and concept…

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Question-   If the population of a city is 155,000. If the population declines continuously by 5%…

Q: 5. Use the graph to estimate the limits or explain why the limits do not exist. V (a) lim F(x) x-0…

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Q: The solution of the differential equation=1-x+y-xy is: dx

A: To solve the given differential equation

Q: Determine el valor de a € tal que: 80 ex e2x + 1 58⁰ a -dx = R+

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Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: In5 x ,2 limx→+00

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Q: Consider the letters A, B, C, D, E, F, and G. give the number of different arrangements or…

A: Here given that 7 different latter    Now the 1 latter can be arrange any of 7 letters  Choice of 1…

Q: 2.1 Limits 2 1. Use the graph to estimate the limits or explain why the limits do not exist. y (a)…

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Q: 1. Evaluate the given integral Q. = [] [²³² Q L L (x - y) dx dy

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Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

Q: Evaluate the following limits. a. limx→+ 2x 3x²

A: This question is based on limits.

Q: 2. Error Analysis. Please complete the following parts in sequential order. a. Solve 2 log4(x-3) +…

A: The given problem is solved below in detail.

Q: 3) Using the trafe boich unte, find the following integrats 2 Ⓒ S x lnx d x Aslo 1

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Q: 1. Evaluate the given integral Q. Q • S S (² (x - y) dx dy -

A: Evaluating the given integral

Q: f) Use L'Hopital's rule to evaluate: sin x lim X-0 X

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Q: 1 1 So (²₁-2²-₂) dx xx+1 x+2.

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Q: Evaluate each limit if exist lim x -> 0 (\sqrt(x+7)- \sqrt(7-x))/(2x) lim x ->3…

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Q: 3x + 9 Consider the function f(x): For this function there are two important intervals: (-∞, A) and…

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Q: 9. Find the family of the curve whose slope at any point is √x + √√x and also the member which…

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Q: 10.) Solve. Write the exact solution in terms of logarithms. el-3x = 4

A: This question can be solved using the concept of natural logarithm.

Q: Evaluate the integral. π/2 sin³ 0 cos²0 de 3

A: