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Q: السؤال الثالث Question Three * Q3. For the motion vector r(t) = et cost i + et sint j , find: (i) N…

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Q: Find f'(x) for the following function. Then find f'(8), f'(0), and f'(-9). f(x) = − 7x² + 10x

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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: Determine the area of the region enclosed by the curves y - 3x = 2 and 2x² - 4-2y = 0. Do not…

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Q: following

A: We have to find the value of the given condition according to the given information

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: Initially 100 milligrams of a radioactive substance was present. After 4 hours the mass had…

A: This question is based on application of diffrential equation.

Q: Q3/: Find the area r=1- cose and over the region R that lies inside the cardioid outside the circle…

A: See this solution I below

Q: 4) If y = 2√x - 2 tan-¹ √x, then y 1 -1 1+x²*

A: We have to find y' for the given function.

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

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Q: Determine whether the differential equation - (7x² − 2xy + 3) dx + (8y² − x² + 7) dy = 0 is exact.…

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Q: State the order of the given ordinary differential equation. ty(6)t5y" + 5y = 0

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Q: termine whether the function has a vertical asymptote or a removable discontinuity at x = -3. Graph…

A: Here is the solution:

Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

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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: Q4/ Answer two from the following :- 4- Evaluate and change the order of integration in 1 = ²*xy…

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: On solving this we will get

Q: 1. Let A = 24 12 -40 20 and consider the linear system = AY. Let Y(t) be the solution 5 What is the…

A: answer is in next step.  i can answer only one  question as per guideline thank you.

Q: Given the equation z = arctan(x- y²) with the change of variables x=s³-t³ and y=st² + s²t, use the…

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Q: A particle is moving with velocity v(t) = t2-9t + 18 with dista seconds inclusive. The position at…

A: To find the time interval when partical moving right .

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Solved below.

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: . x + 3y = y² + 4 A. 18 3-2y B. 3-2y C. 1 2-3y D. 1 2-3y

A: As you are asked multiple questions but as per our guideline we can solve only one. Please repost…

Q: 3- 1 له وال * IT X I sintLy, y Ha

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Q: 3) √ √6x-x² dx a) 12 (x-3) √ 6x-x² + 2 arcain 2/ arcain X=² X-3 te 3 (x+3) Gx-x2+gain x3tc 3 c) —…

A: solution

Q: 2x S x5 e ²x dx

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Q: Calculus I Find the second derivative.

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Q: Q3 Find the value of Q. where Q = M/N. " 6 3 1 M= 7 -2 -1 40 1. Add file L-3 4 ГО TO N=1 L2 91 1 3 7…

A: See this solution in below

Q: x 2) Discuss the continuity of the graph of f(x) given below on the closed interval [-4, 2] D(-4,6)…

A: This question is related to continuity of functions, we will solve it using given information.

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

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Q: Alternative Formula for the Derivative f'(x) = lim Z-X f(z) = f(x) Z - X

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Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

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Q: find the area of y=x and y=x(x-2)

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Q: Solve the differential equation (18xy + 18y²)+(6x² + 18xy)y' = 0 using the integrating factor u(x,…

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

A: The objective is to solve the above question.

Q: 3 4) Sain ³x cus³x dx 3 a) - + cos²³x (vin³x + ²) + C 2 b) = cos²x (Ain²³x + ²/2 ) + Cc c) - — cos…

A: To evaluate the integral.

Q: Find the solution of the given initial value problem. π ty' + 2y = sint, y "(-) = 5, t > 0 Y ||

A: Concept: linear differential equation of the form dydx+Py=Q The general solution of the linear…

Q: _z = g(x,y)=√x² +2y²

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

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Q: 9+5d = 35-6 int equation (11) from To - 113 = 9+126 = 77

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Q: Find the arc length of the curve y = 2/3 (x − 1)3/2 on the interval [2,3]

A: Arc length is given by the following formula

Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y - y³ 2x + 3xy² dx…

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Q: or what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable.…

A: For horizontal tangent slope y' = 0

Q: ل 2 ل وه هه ** ** " سم Z || . 1

A: Given problem:-

Q: We wish to find the solution to =26y that passes through the point (x, y) = (1, 3).

A: Explained below

Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ 4x + 3xy² dx…

A: Explanation of the answer is as follows.

Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

A: Given: f(x) is linear function g(x) is linear function h(x) = f(x) g(x)    a linear function is of…