f Cos 6 x dx 2 Cos ²3x

Q: [ (cosx+2sinx) COSX dx

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Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: Evaluate the limit: Lim X--3 (2-√x² +100 x + 3

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Culator. A particle is moving with velocity v(t) = 1²- 9t+18 with distance, s measured in meters,…

A: The objective is to find total distance travelled.

Q: A company can produce LCD digital alarm clocks at a cost of $6 each while fixed costs are $50.…

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Q: dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: To find whether given differential equations are which one of the following in the given options.

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: Find the general solution of the given differential equation. xdy+3y=x²-x dx y(x) = Give the largest…

A: The objective is to solve the above question.

Q: 1.  Create a system of linear equations with three equations and three unknowns.     Solve the…

A: The objective is to solve the above question.

Q: Given lim (x,y)→(1,2) of  (x + y − 3) / (x^2 − 1) Evaluate the limit along the paths y = 2 and y = x…

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Q: Find the solution of the given initial value problem. π ty' + 2y sint, y = 1, t > 0 Y || =

A: In this question, we want to find the solution of the given first order non-homogeneous linear…

Q: 12. Calculate the area of the segment cut from the curve y = x (3-x) by the line y = x. A. 5/3 sq.…

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Q: Tess tried to solve the differential equation = 2xy - 6x. This is her work: dy = 2xy - 6x dx dy Step…

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Q: The figure to the right shows the velocity, v (in feet/second), of a runner for 0 < t < 15 seconds…

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Q: f(x) = 2x³ - 3x² − 12x + 6. (a) Find the extreme points of f; (b) Find the point (s) of inflection…

A: SOLUTION-

Q: Q6) Test the convergence of the following 3) Σ=1 (n!)" (nn)²

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Q: Consider the following autonomous first-order differential equation. d = y In(y + 2) Find the…

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Q: Given the function z= f(x, y) = ln(x² + xy - y²), find the following: a) Find gradient at the point…

A: As per our guidelines we are supposed to answer only first three subparts of the question. Kindly…

Q: Q4:B/Simplify Moivre's theorem? [cos 30+ i sin30 15 [cos 0-i sine 1³ [cos 50+ i sin50 ] [cos 20-i…

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Q: For a particular function, the derivative is given by f'(x) = (x+3)(x-1)². Determine the x-values…

A: Topic = Derivative

Q: x-2x +x= 15; x (0) = 7, x (0) = -16 hand written plz

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Q: 17 Describe the effect on the function f(x) = √x to g(x)=√x-2. F The graph was a vertical…

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Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: Prove that For all A ∈ A, we have 0≤ P(A) ≤ 1

A: Concept: Probability: Probability signifies the possibility of something happening. It's a…

Q: Find the solution of the given initial value problem. ty' + 2y = sint, y = 1, t> 0 Y ||

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Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

Q: Q5) Solvex + 2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h =…

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Q: Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

A: The simple use for plane and point and normal vector..

Q: At what point do the following lines in R³ intersect? l₁ : (x, y, z) = (1,2,1)+ s(1,0,1), l₂ : (x,…

A: See the answer below

Q: Given the function z = f(x, y)=x²y+2y² + 4xy-2, find the following: ) Find all of its critical…

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Q: c) S xaccainxdx a) = (2x²-1) arcain x + ¥√√√²-x² + C b) 42 (2x² +₁) ancais x + x²√√1-x² + c c) 4…

A: The objective is to find the integration.

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: 7 22 +22=²-10 2x round to two decimal places

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Q: Find an explicit solution of the given initial-value problem. 없을 y(7) = 7 1

A: Find an explicit solution of the given initial-value problem.         dydx=y2-1x2-1  ,    y7=7

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Please see the below picture for detailed solution.

Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

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Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i-2j+ 2k. 1, Find the unit vector…

A: We can solve this as follows:

Q: 1. f(x¹ + x³)dx π

A: The objective is to find the integration.

Q: 10. Show that there is a root of cos(x): = in the interval (0,7). TT Do NOT find the root. Explain…

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Q: 10 8 6 4 cp 2 근 -4 9 co 8 10 X

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Q: 17. A spring has a natural length of 20 cm. A 40 N force is required to stretch (and hold the…

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Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: 3 7 Scot³x c₂c²³x dx - esc X

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Q: Example 5: Use double integral to find the are

A: In this question we will use basic concepts of double integration to get the required area bounded…

Q: Find the derivative of the function. g(x) = (sech(7x))² g'(x) =

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 – 3x)y², y(0) = 8…

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Q: Show that the series n=0 xn cos(nx) x² +n³ + 1 defines a differentiable function g(x) for x in [-1,…

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Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

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Q: Solve the differential equation where y = 8 when = 0. y + 3y x + 3 = (x+3)8

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