Integrate: 16-y4 y³ - dy

Q: Find the PS of y' 2 cos²x - sin² x + y² 2 cos x y(0) = 1984

A: Given y'=2cos2x-sin2x+y22cosx and y0=1984

Q: Simplify cot(t)/csc(t)−sin(t) to a single trig function

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Q: Solve the given differential equation (2x + 4y - 1) dx (x +2y-3) dy = 0 Ox-3y-In (x+2y-3) = C O 2…

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Q: (2) Σ 2n+. νη +1 (b) Σ 2m +3m n! n=0 (0) Σ(-1)*+1 In n

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Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The given function is: f(x)=y=x(x-6)2=x(x2-12x+36)=x3-12x2+36x

Q: Evaluate: [4 dx/(x²-4). A. In (x-2)(x + 2) + C C. 2 arc tan x/2 + C B. In (x + 2)/(x-2) + C D. 4 arc…

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Q: Consider the following. f(x) = 5vx Find each indicated derivative. f'(x) F"(x) II f"(x) = F^)() II

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Q: 1. Find y' of tan(x²y) = 3x + y²

A: Given:      tanx2y4=3x+y2 differentiating on both sides   ddxtanx2y4=ddx3x+y2  Applying…

Q: Let F(x, y) = 1 + √√1 − y². 1. Evaluate F(3, 1). Answer: F(3, 1) = 1 2. What is the range of F(x,…

A: Let's solve for function value at given point and its range.

Q: " + 4y = cos 3x

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Q: K Use the graph of y=f(x) to graph the function g(x) = -f(x). y = f(x) Ay ~ 12 E Choose the correct…

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Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 315∘ (x,y)=

A: A point (x,y) on the circle having radius r and corresponds to an angle θ is given by  (x,y) =…

Q: [] x(y-3) ] (y-3) dx 4y FIND DE.

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Q: Indicate whether the following equations are true or false for all integrable functions f. a) b) c)…

A: a) We know that properties of integration,…

Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .

Q: 3. Directrix is x = 2 and the focus at (-2, 0). Equation in standard form: Opening/Concavity Vertex…

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: One angle in a triangle has a measure that is three times as large as the smallest angle. The…

A: Sum of all angles in a triangle= 180 degrees

Q: y ( x ) = (₁ e ² + ( ₂ e 2X + - 3e³x; y(0) = 0, y'(0) = 0

A: Given:- yx=c1ex+c2e2x+3e3x y0=0,y'0=0

Q: A chemical reaction converts a certain chemical into another chemical, and the rate at which the…

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Q: (d) d dy 11 = 4- 2x cos y 3y² tan 2x - - 2y3 sec 2x 2 sin y

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Q: Find the general solution of each of the following. rdp-(p+√pr)dr=0

A: Our Aim is to find the general solution of the following given below:-rdp-p+prdr=0 -(i)

Q: f(x)=5sin(2x) - 2x² - 4x Find the maximum or the minimum of the function using newton's method of…

A: Newton's method of optimization is the general method for finding the minima or maxima of the given…

Q: 3. Determine the domain and range of h(x) = √√4 – x

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Q: 1) Let f(x) Choose the best answer. = sin² (3x4). Derive the derivative f'(x).

A: The explanation of answer as follows

Q: The rate of change in data entry speed of the average student is ds/dx = 4(x + 9)-1/2, where x is…

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: see below the answer and explanation

Q: Integrate √x+1 dx with limits from 0 to 1. A. 3.22 B. 2.22 C. 0.276 D. 1.22

A: Given :

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

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Q: You deposit $2000 in a risky investment that loses 5% interest yearly. Unfortunately, the money is…

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Q: y(x) = C₁ e ² + C₂ e ²*, + 4 SiN X, Y (0) = 1, y' (0) = -1

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Q: Show the complete solution for the problem below. (Typewritten as much as possible) Let…

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Q: 20-25 -**- Solve (px - y) (py + x) = 2

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: Use the graph of y=f(x) shown to the right to graph the following function g g(x) = -f Choose the…

A: see below the answer and explanation

Q: (x + 2y — 2) dx + (2x + y + 5) dy = ○ (x + 4)² − 2 (x + 4) (y − 3) + 4(y − 3)² = C O (x+4)² + 2(x +…

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

Q: Evaluate fcos³ (42) sin(4x)da

A: here is the solution:

Q: T = 7/24 31nx - secydx - 5xsin ydy=0;y (e ³) : .

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Q: dy 2) Consider the equation 6xy+sin y = x. Use Implicit Differentiation to find dx The correct…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate lim X-700 lim X-700 lim the limits 44X 1-5X 2x+5 10x²-3x+5 2x3-7x²-11X 11-10X-9x3

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. complete solution 1. Circles…

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Q: 12x-8y+11=0

A: We have to choose the correct option from the given options accordingly to the given information

Q: (c) (yez-e-) dx + (xe-+e) dy = 0 2x 608 16- 213 sec² 2 du

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Q: How to know if an equation is a solution to a first order differential equation? Please give clear…

A: To explain how an equation is a solution to a first order differential equation.To use the following…

Q: = Find a function of the form y function shown below: A sin(kx) + Cor y =…

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Q: 2. Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 de)

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: We have given a vacation house is rented.  Let,  x represents numbers of days C(x) represents cost…

Q: the value X, I when solving the system X+27=82X+59= 21 in the manner of cards True Error -2,-5

A: we need to solve the system of equation.

Q: Prove that lim f(x)=36 if f(x)= x-6 x²x#6 5 x = 6 C For a function f(x) that is defined in an open…

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Q: Consider the improper integral [²8 8 + cos(0) 0² Determine if the improper integral converges or…

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