2.) (cotx + tanx) ² dx

Q: S₁ y² – 3ydy 11

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Q: 6 + 5 4 3 2 H -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 + The graph above is a transformation…

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Q: Use the chain rule to find the indicated partial derivatives. Əy ar Əy əs Əy at II Y = w tan-¹(uv),…

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Q: Find the limit. (If an answer does not exist, enter DNE.) x + 7-8 lim X→ 57 X - 57

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Q: 04: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: Find the derivative of each of the following functions using any method. 1.) f(x)= 6x^5 + 7x^4 - 6x³…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: Using the definition of derivative that incorporates the idea of limit, prove that if f and g are…

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Q: State the order of the given ordinary differential equation. d²y dx² dy = 1+ dx. Determine whether…

A: We know that :-  The ORDER of a differential equation is the order of the highest  derivatives that…

Q: Laplas Inv Q1/ Find -1 s² (s+1)(S-1)²

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Q: Question 2 Assume is in radians. The angles requested are measured counter-clockwise from the…

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Q: Solve the equation | +6 - 4. The solutions are 1 = and 2 = where ₁ ≤ x2. This means x₁ is the…

A: Given,  |x+6|=4

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: * Parallel lines have the slope (m1x m2 )= -1 true False

A: I am attaching image so that you understand each and every step.

Q: an to four approximation) y and YOY

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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: Rewrite the given function with a rational exponent. 7|X 8 = y In X + 8 = In x + 1 || In x + 00 8 00

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Q: Let f(x, y) = x² - In (36-4x² - y²). Then the domain off can be represented by the blue region in…

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Q: The curve y = ax² + bx+c passes through the point (3,6). The line y = 4x + 1 is tangent to the curve…

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Q: Consider the solid region E inside the sphere x² + y² + z² = 4 and outside the cylinder x² + y² = 1.…

A: This question is based on 3-D geometry.

Q: B) Evaluate the line integral of the function P(x,y) dx + Q(x,y) dy. over the curve C where…

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Q: 3 7 Scot³x c₂c²³x dx - esc X

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: Find r(t) if r'(t) = 4t³ i + 5t+j + √tk and r(1) = i + j. r(t)

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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: Jse a graphing utility to graph the function and estimate the limit. Use a table to reinforce your…

A: Using l hospital rule to get limit

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

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Q: Determine whether the differential equation - (2x² − 2xy + 5) dx + (8y² − x² + 2) dy = 0 is exact.…

A: The given differential equation is;  (2x2-2xy+5)dx+(8y2-x2+2)dy=0.

Q: Find the solution of the given initial value problem in explicit 1 y' = (1 — 11x)y², y(0) = ——— 6…

A: We can solve the given differential equation by using the variable separable method.

Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: 11. A hockey player, on left defense, is about to take a shot on net. The net is 1.83m wide. The…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: ) Find f'(x) given that f(x)= 2x² + 3 x² - 5x+2

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: The graph above is a transformation of the function f(x) = Write an equation for the function…

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: 2 ln x + ln (x+1)- 1/2ln (x^2+1). Compress the logarithmic expression.  PRE-CALCULUS HW question..…

A: The given expression,   2 lnx+lnx+1-12lnx2+1

Q: Solve the following set of linear equations by using Gauss-Seidel method 5x₂ + 2x₂ + x3 = 12 x₂ +…

A: answer is given here

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

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Q: -0.51-2-5)dy represents the area of a region bounded by O a. the curve x = 12, the line x = 5, and…

A: We have to choose the correct option

Q: Show that |7₁7₂|=|z₁||2₂|

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Q: Find the general solution of the given differential equation. 2 dy dx - + 6y = 3 y(x) = Give the…

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Q: (a) (b) 2x3/2 7x² 2 7x + 9 lim x-00 lim x→ 2x3/2 3/2 +9 2x3/2 lim x+00 7√x + 9 7x 11

A: We know that when x tends to ∞, 1x tends to 0.

Q: In a certain region there is a uniform current density of 15.0 A/m2 in the positive z-direction.…

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Q: IF y = u² + 3u² & u = 2x Find d dx 8x(8x^2+3) (64x^3+30x) O 8x(8x^3+3) O 8x(8x^2-3) O

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Q: In this problem, y = c₁e*x+c₂ex is a two-parameter family of solutions of the second-order DE y" - y…

A: The given differential equation is;  y''-y=0, y(-1)=6, y'(-1)=-6.

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: 27. The factor = T/2 is multiplied in the evaluation of Wallis formula, where m and n rs of sin and…

A: The factor θ=π2 is multiplied in the evaluation of Wallis formula where m and n are power of sin and…

Q: Given a general antiderivative of x² + 3 +C with initial condition (2, 0), then the particular…

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Q: 3 4 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

A: Above question is solved.