Coefficients Linear in two variables. Find a general solution of the differential equation (2x - y)dx + (4x + y - 6)dy = 0.   If you use the symbol u and v please write legibly to distinguish which is u and which is v.  If you need to integrate a function show complete solution.

Q: 7) Determine the volume of the solid of revolution formed by rotating the region under the graph of…

A: Given y = ( x5 - x ) from x = -1 to x = 0 as we know that volume of solid obtained ny revolvind the…

Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

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Q: Find f such that f'(x) = 8x² + 7x-7 and f(0) = 2. f(x) =

A: Given query is to find indicated function m

Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is L {f(t)} = Select one: O True O…

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Q: Let C be the curve f(x) = the length of C, as follows: (1) Calculate f'(x). In(x) 2 - 4 between 1…

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Q: 7. Let f be a function defined for all real numbers x and for all real such that f'(x) < 0 and f"(x)…

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Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: Evaluate the line integral, where C is the given curve. 2 xeyz ds, C is the line segment from (0, 0,…

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Q: Find the four second-order partial derivatives. 5 f(x,y) = 2x y-5xy +9y fxx(x,y) = fxy(x,y) = fyx…

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Q: Evaluate the integral by making the appropriate substitution: u = dx (6x +4)³ 11 Submit Question…

A: Given query is to find Indicated integral

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

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Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given query is to find the slope and the equation of the tangent.

Q: Question 8 Consider the indefinite integral U= du = x5 (x6 + 4)6 This can be transformed into a…

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Q: Let C be a cylinder of radius 5 whose axis of rotation is the y-axis. Draw a graph of C and then…

A: We need to find equation of cylinder. As per Bartleby guidelines we can solve one question from…

Q: The weight of a body, W, above the surface of the Earth varies inversely with the square of the…

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Q: Find dy/dx by implicit differentiation. 7x²y + 4y²x = -1 dy/dx =

A: Given query is to find derivative.

Q: Use the piecewise defined function to answer the questions below. 7√x²+1 f(x) = 28 X+8 (x+5)(x-19)…

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² - xy lim (x,y) → (9,9) √x √4

A: The given limit function is lim(x,y)→(9,9)x2-xyx-y  We have to find the limit value .

Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: f(x) = (2x³ + 8), (1, 100)

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Q: 13) y = [X²+2x-1'; dy = ? A) X+ Xt y B) 4y (x+1) (XH) (x²+2x-1) 3/2 D) - () ㅗ 2\x²2x-1

A: Question number 13 solved

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

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Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.

Q: the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27…

A: Given query is to find domain,range and interval of increasing and decreasing.

Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

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Q: - Let F(s) = I O None of the others 0 3e2t 1 2 2 e2t 2 e2t 2 N/W N/. + 2 1 s²-2 s Give your reasons…

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Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is Select one: O True O False L {f(t)}…

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Q: f(t) = te4t

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Q: -2 Determine if the columns of the matrix A = 4 O No Yes 1 4 0-4 -4-6-8 are linearly independent.

A: The given matrix A=-21440-4-4-6-8. We have to check the columns of A are linearly independent or…

Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: 19. lim x²-5x-24 x-5 x²-9

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

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Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: Find the Laplace transformation L {f(t)} if f(t)= (t + 1)² ? s²+2

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace

Q: = Find the area of the region that is completely bounded by the two curves f(x) = g(x) = x² − 7x +…

A: Given query is to find the area of the region.

Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

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Q: (i) The velocity and acceleration of a particle is given as v= -4i -9j + 5k and a= 6i - j + 3k Find…

A: Given velocity and acceleration vector v = -4i -9j + 5ka = 6i -j + 3k

Q: locity of 6. Find the average value of f(2x - 1)³dx.

A:

Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: Evaluate the integral 25 (28-4) ¹3 dz 13 x6 - 4. by making the substitution u = x + C

A: SOLUTION-

Q: Find the derivative of the function. y' = y = 3 tan-¹(x - √₁+ 1 x² +

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Q: : You need to provide a clear and detailed solution for the following Questions: Question 1 Given…

A: Solution: Given data, y"-7y'+10y = -2e3t

Q: Differentiate. g'(0) = g(0) = eº (tan(0) — 0)

A: dexdx=ex  d(tanx)dx=sec2xd dx(a.b)=adbdx+bdadxgiven  g(θ)=eθ(tanθ-θ)

Q: Find the length and width of a rectangle that has an area of 392 square feet and whose perimeter is…

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Q: Quality management charges 7.5% of the monthly rent on properties it manages. If they manage nine…

A: Given Quality management charges (r)=7.5% of the monthly rent on properties it manages total number…

Q: 2) Consider the function: f(t) = 0, e-kt, 0 < t < 1 1 ≤t. A) Use the definition to find F(s) =…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. X(t) = dx dt…

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.