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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: dy Find by implicit differentiation. Then find the slope of the graph at the given point. dx 3x³y =…

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Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

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Q: 7) lim (cotx +cscx) XIR

A: lim      cotx + cscx x -->π lim      cosx/sinx + 1/sinx x-->π lim      (1 +cosx)/sinx x-->π…

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: Q5) Find dw/dt at the given value foe the following functions 2) w = 2ve* - lnz.x = ln(t+1), v =…

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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: state the order of the given ordinary differential equation. Determine whether the equation is…

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Q: The value of n when integrating the following function using Simpson's method is: [2²/ dx h = 0.2 >

A: solution is given below

Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: Q2: Find y(2) if D.E as give dy 2. +3y=sin 2x, y(0) = 6 dx Given

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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: If, in a monopoly market, the demand function for a product is p = 150 − 0.10x and the revenue…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

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

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Q: find the area.  x^2=8y and x=y+1

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

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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: 2. For the quadratic function y = -6x² + (K + 4)x+ 9, find the following: a. The Axis of Symmetry of…

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Q: Find the length of the curve. r(t) = √√2ti + etj+ek, 0≤t≤7

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Q: Find the cross products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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

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Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

Q: a) Find the growth rate. The growth rate is b) Find the population after 9 yr. The population is…

A: The population p of a small city is given. We have to find the growth rate of population.

Q: what is after the negative 4 is that Cos I can't tell what that is supposed to be

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Q: (x+y cot) dy-ydx = 0 (Homogeneous)

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Q: Determine whether the differential equation (4x² - 2xy + 5) dx + (7y² − x² + 4) dy = 0 is exact. If…

A: The given differential equation is;  (4x2-2xy+5)dx+(7y2-x2+4)dy=0.

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: Solve by Gaussian elimination x-4y-2z = 21 24y + 2 = 3 3x+2y-z = -2

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Q: 2 Heather has a bag of 15 red, 11 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. How many…

A: Heather has a bag of 15 Red ,11 orange ,9 yellow ,12 green ,6 blue and 11 purple. Find how many time…

Q: -1/3 4/3 (4) Find t(n) for the function t(n) = 3n +4n (4) (n) =

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Q: Which of the following represents the difference quotient for f(x)= -²₂ 2 x(x+h) 2 x(x+h) 2x+h…

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Q: Find for THREE of the following functions: dy dx 1-y)+In(cos(x)) + √ 2-y=2(cos(x))

A: To find dydx:

Q: The dimensions of Roy and Roger's sandbox are t² meters by t5 meters. One cubic meter of the sandbox…

A: dimensions of the Roy and Roger's sandbox : length =  t2  width = t5 height = v2…

Q: B)Solve the differential equation = x - y. dx

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

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Q: Find the integrating factor u(x) and solve the differential equation (integrating as a total…

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Q: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

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Q: First use appropriate properties of logarithms to rewrite f(x), and then find f'(x). f(x) = 2 In…

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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: Find the derivatives of the function f for n = 1, 2, 3, and 4. f(x) = x sin x n = 1 f'(x) n = 2…

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 6 x² + 2xy dx…

A: First change the given differential equation in the form         M dx + N dy = 0  Then check that…

Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A: The function z=fx,y=x2-xy+y2 subject to the constraint x2+y2=8

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

A: answer is given here

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

A: Explained below

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4√√x-8 lim X→4 x-4…

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Q: 3) The line L: x = 3 + 2t, y = 2t, z = t intersects the plane x + 3y -z = -4 in a point P. Find the…

A: To find the coordinates of P and find the equation for the line .

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: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

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