determine the most general function M(x, y) or N(x, y) so that equation is exact.

Q: 4 x2-4 xp

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Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

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Q: Consider the series > 5e". n=0 a. The general formula for the sum of the first n terms is Sn (5e( 1-...

A: This is a problem related to series calculation. Based on the simplified terms it was observed that ...

Q: Evaluate the following definite integral: dx = 12

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Q: cot e*dx e2x +1

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Q: For what Values Of X IS tne wing geommetric series convergent? 1++ 27 1) x>0 2) -1<x<1 3) -3<x<3 4) ...

A: Topic:- series   

Q: 2. lim f(x) and lim f(x) if f(x) = V4-x2 %3D X-2+ X→2- х-2

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Q: 12. The volume of a spherical cancerous tumour is given by the function V(r) = {ar³, where r is the ...

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Q: |æ – 7| Let us consider lim x→7 x2 – 49 |æ – 7| (a) Find lim 2→7- 22 – 49 Note: Give the exact answe...

A: Follow the procedure given below.

Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

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Q: 5 In x Evaluate f r/1- Inx

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Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: To evaluate the given limit.limx→∞ ex+13x1x  

Q: Finding the area of a surface of revolution. Area of a surface of revolution for y = f(x). Let f(z) ...

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Q: Let an be then th digit after the decimal point in 3T + 7e. Evaluate Ean(-1)". n=1

A: This is a problem related to sequence and series part. based on the general formula available for ge...

Q: Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the inter...

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Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: topic - application of derivatives

Q: x*dy+ (2xy – y³ ktx = 0 Let the substitution v=2; y= Vx; dy=vdx+ xdv

A: Topic:- differential equations

Q: Find the tangential and normal components of acceleration at the given time t for the plane curve r(...

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Q: A company's total cost, in millions of dollars, is given by C(1) = 130 -60e where t is the time in y...

A: The company's total cost, C(t)=130-60e-t

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

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Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: 1 A water tank has the shape obtained by rotating the parabola y equals x squared about the y-axis, ...

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Q: e that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colon...

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if , 2. The function f(x, y)...

A: Topic:- calculus

Q: Solve the homogenous differential equation.

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Q: Solve the problem

A: Given dimension of rectangular sheet is 15 x 8 Assume length of square is x Then , height of box is ...

Q: The demand for a new computer game can be modeled by p(x) = 57 -7 Inx. for 0sxS 800, where p(x) is t...

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Q: Solve using homogeneous differential equation x*dy+(2.xy – y² kdx = 0 Let the substitution y=2; y=vx...

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Q: 1 + 20 f(x) , g(x) h(x) The partial fraction decomposition of - + 3x2 can be written in the form of ...

A: Given that: x2+20x3+3x2

Q: The temperature of a metal ingot is 60°C above room temperature right now. Ten minutes ago, it was 6...

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Q: The domain of f is none of these O y = 2x O y< 2x

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Q: onsider the ellipse E in the xy-plane defined by the equation ax2 + y2 = 1 where a is positive. (1)...

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Q: Findthe volume of the solid obtained by rotating the region bounded by the given curves. y=radicalx ...

A: Given Equation y=√x ,x=4 and y=0 

Q: 10 dS (3t2-12t-15)dt %3D

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Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

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Q: y'dx-(sy + y* }ky = 0 1. Let the substitution y=2; y=vx; dy=vdx + xdv

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Q: Compute the resulting error in the function f (x) = x³ for value x = 2.38 with an error Ax = 0.005.

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Q: Rewrite the statement in mathematical notation. (Let R be the annual revenue of your company, q be t...

A: Given Revenue R=$4000  

Q: For the missing elements to satisfy the condition A-1 + 14 = E e 2 b 3 5 -2 A 4 -2 i -3 Ly a 268 14 ...

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Q: Find the equation of the line though the point (0, -3) and perpendicular to the line y = - 2. Write ...

A: To solve the following problem

Q: x'dy+(2xy – y² )dx = 0 Let the substitution y= y=vx; dy= vdx + xdv

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Q: Write an expression for the distance w in terms of x. - 2y +1

A: Topic:- geometry 

Q: Evaluate  ∫√(1-7x^2) dx

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Q: Consider the following. f(x) = x* + 3 Find f'(x). f'(x) = Find the value of dy when x = -4 and dx = ...

A: f(x)= x4+3  Find 1) dy/dx  2) dy when x= -4 and dx= -0.01  3) ∆y when x= -4 and ∆x=-0.01 

Q: f(x) = 3 x6 e-4 x* with respect to x. f '(x) = 18x^5 e Submit Answer Incorrect. Tries 1/8 Previous T...

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Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = 3...

A: suppose c(t) is the cost in thousands ot dollars ,ot producing t tons of white paperIf            C'...

Q: Section 2.2 p. 150/152 # 58 58 Derive the formula for the volume of a sphere using the slicing metho...

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Q: 124 Х 209

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Q: faywyn = fæwwyy fææryy xyx xxxYy True False

A: Given :