Compute Δy and dy for the given values of x and dx = Δx. y = 3x − x2,    x = 3,    Δx = −0.6

Q: Find the general solution for (y + 1) dx + (4x - y)dy = 0

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Q: Evaluate: a In(x + y) e-y. dy dx

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Q: Find the most general antiderivative. X - dx ..... O A. - 3x2 - 3x3 +c 1 x* O B. 1 +C 2x - 4 4. 3x…

A: W we have to solve the integration

Q: 3. Evaluate yn x dx

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Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

Q: d*y Obtain a particular solution for dx+ d²y *+y = x3 + 2x + 1 dx² dx + +

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Q: Compute dy/dx for y=u 3/2 and u=2x+5 using the chain rule formula dy/dx=dy/du du/dx. The answer is ?

A: The derivative of a function is a measure of the rate of change of the function with respect to…

Q: 1. Find dy for each of the following: dx d) y = e +x° +e° e) y = x° Inx 1) In(x + y) = e*-

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Q: Find the particular antiderivative that satisfies the following conditions: dy/dx = 6x^(-2) +…

A: detailed solution is given below

Q: Find the general solution of dy/dx= xy-y/x^2-5x+

A: To find the general solution of the below differential equation. dydx=xy−yx2−5x+6

Q: 4- The integration of ſ dx is: (а)6 (b) 4 (c) 8 (d) 2 5- The integration of S*,.dx is: -3 х3 7 8 (a)…

A: Given: ∫49dxx we know that ∫dxx=2x+c so, ∫49dxx=2x94=29-4=23-2=21=2

Q: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

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Q: Bernoulli dy + xy = dx y # 0 уз

A: The objective is to find the general solution to the given differential equation

Q: QI Find d for dt dy = 4e - 5x'e0 dx dy 3x e +5x'e dx الخبار ه 2 dy dy 2xe 2e + 4xe* dx dx dy 5x'ere…

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Q: Find the particular solution of y(1+ 2 In) dx + xdy = 0 y(e) = e.

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Q: 1. Find the antiderivative a) S(eš* – ) dx b) Se-4*dx c) S Vx(2 + x²) dx d) S-2xe10 - x² dx e) S…

A: (a) Given that,

Q: What is the rate equation for related to mixture problem? dx = r.c. + r;c; а. dt dx b. = r.C; - r;C.…

A: To find the rate equation related to the mixture problem.

Q: 28. Evaluate eš dx and determine its particular antiderivative whose x-intercept is ln 3. 1 e3x – 3…

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Q: 51. The functions y = e* and y = x³e do not have elementary anti- derivatives, but y = (1 + 3x)e"…

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Q: Find the first partial derivative of  T(p,q,r) = pln(q+e^r)

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Q: The integrating factor of the given DE are already given below. What is the value of "n" y(y²-x-6)dx…

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Q: 1 dx

A: According to the power rule the integral of a function f(x)=xn is given by: ∫xn dx=xn+1n+1+c…

Q: Find dy/dx if y = x3/2 by using the Chain Rule with y as a compositionof y = u3 and u = √x

A: Given: ,and . Find out by using the chain rule.

Q: x+y, 9- (e* + In y)dx + (- )dy = 0 y +(x* + y*)e°'dy = 0 10- x(1+e')dx

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Q: 1- Find the average rate of change for y = xo = 1 x, = 2 2- Find the instantaneous rare of change…

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Q: Find dy/dx of the given function. y = e 2x In x

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Q: 3. x cos x dx

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Q: Compute dy/dx for y=u 3/2 and u=4x+5 using the chain rule formula dy/dx=dy/du du/dx. The answer is ?

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Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: 2. Given the joint pdf of X and Y, fxx(x, y) = { '0" (4xy 0<x< y <1 other wise Find the marginal…

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Q: Find dy for dx a) y = xx+3 b) y = [ex(2x2−1)5] /  x2 √(2x+1)

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Q: d*y dy is dx x dx ferential

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Q: First order linear in (y-x+xycotx)dx+xdy=0

A: The given problem is to find the solution for the given first order linear differential equation.…

Q: 24. Evalute dx r +1

A: Given: ∫0∞x12x3+1dx

Q: dy for e dx (*² +1), 6. Determine ln( 19) + x² – xy =

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Q: Evaluate 2xz dV where E = {(x, y, z) | 2 < x < 4, x <y < 2x, 0 < z < x + 3y} . E Round your answer…

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Q: The equation (y-x)=x(dy/dx) is Bernouli (y^n> 1) O linear in x O Homogenous O variable separable

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Q: 4. Compute the following: (a) e dx -1 d (Ъ) dx f'(x) dx a

A: 4.(a) The objective is to find the value of ∫-11edx

Q: Find the antiderivative given below. dx

A: Given the integrationI=∫−5x97dx

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = (x+2)/(3x-8

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Q: Find both first partial derivatives. h(x, y) = e−(x2+y2)

A: The given function is hx,y=e-x2+y2. To find the partial derivatives. Solution: The given function is…

Q: Find dy If y=1-t and x2 dx

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Q: Find the integrating factor: dy 3y = x (1 + x?) dx e3x None of these e-3x x3

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Q: What is the appropriate substitution to solve dy/dx + ln(x+1)y/x = x^3y^3? z=y^-2 z=y^2 z=y^3 y=vx

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Lety = xz – x² + xz² – 1. Find d'y evaluated at x=2, z=2, dx=1, and | - dz=1.

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Q: x ty S'SL" (x+y +z) dz dy dx

A: To evaluate ∫01∫0x∫0x + y x + y + z dz dy dx

Q: An integrating factor of y+ x+ xy² dx+ x* |dy = 0 is 3 2 4 1 A) B) x3 1 C) - D) x2

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