Consider the function f(x) = 5a°+ 5x® – 10x4 – 6. Enter an antiderivative of f(x)

Q: sec2 x dx sec2 x – 1 f.

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Q: What is the antiderivative of f'(x) = 14x + 4 f(x) = What particular solution satisfies f( – 3) =…

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Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = 4e* + 4x²; F(0) = -5

A: Given query is to solve the differential equation.

Q: Find an antiderivative F(x) with F ′(x) = f(x) and F(0) = 0. Is there only one possible solution?.…

A: Given, F'x =fx  fx = 2+4x+5x2   We have to find Fx

Q: the most general antiderivative function Find f(e) Sx-4+3x %3D t has

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Q: Find an antiderivative F (æ) with F' (x) = f (x) = 5 + 24:³ + 15z4 and F (1) = 0.

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Q: y" + y = sec x tan x

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Q: dy Let y = (x2 – vx)4". Find using any method. dx -

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Q: t2 +t dt 2

A: ∫t2+t2 dt

Q: Find the particular antiderivative of the function f(x) point (0, –1). e" (2ª – 1) whose graph…

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Q: Differentiate √(xy) + 2x = √y explicitly with respect to x. Show your solution

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Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x +…

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Q: Use chain rule to find express answer in terms of x only. dx y = Vu² – 1 u = 4Vx

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Q: Find the total differential. w = (3x + 4y)/(y + 3z)

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Q: I-x² f (x, y, 2) dz dy dx 1-x² Jo

A: we have to find the region of integration

Q: Find an antiderivative F(x) with F'(x)=f(x)=7+18x2+14x6 and F(1)=0.

A: Find an antiderivative F(x) with F'(x)=f(x)=7+18x2+14x6 and F(1)=0.

Q: Find the absolute maximum and minimum of f(x, y) = 4x2 + 2xy 3y2 on the unit square 0 sx s1, 0 sy…

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Q: Find the general solution for dø = z(z – z²)sec²Ø %3D | dz

A: the given differential equation is: dϕdz=zz-z2sec2ϕ we have to find the general solution of the…

Q: If x =0.71 and y = 0.67, then value of C in the xsin-(x) V1-x² antiderivative of F(x) = is

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Q: Consider the function f(x) = 3z10 + 3z° – 3z² – 4. Enter the general antiderivative of f(z)

A: Given function is : f(x)=3x10+3x5-3x2-4 We have to find antiderivative(integral) of the given…

Q: Find the antiderivative of f(x). f(x) = 3e6x+ sec2(x) +x3

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Q: Consider the function f(x) = 2x³ + 71° – 8z2 – 8. Enter the antiderivative of f(x) + C

A: To find the antiderivative means integration of the given function

Q: find given f (x, y) = eª + 2xy² – 4y at (0, 3) af dy'

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Q: Find the I.F of 2y(x^2-y+x)dx+(x^2-2y)dy=0

A: Please see the answer below

Q: Consider the finction f(x,y) = x² + xy – 5x – y+ 1. Then:

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Q: Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0

A: As per our guidelines we can answer only 1 question. So kindly repost the remaining questions…

Q: I the function z(x, y) = ex sin(3y) and x = ut-t², y = √u² + t², Find : dz dz and 2- (by chain rule)…

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Q: of

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Q: xy' + y = sin(x), y(3) = 0, y'(3) = 0. Yh = C1x + c2x ln(x).

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Q: 2. In each exercise, obtain the particular of solution. a. xy dx + 2(x² + 2y²) dy = 0; when x = 0, y…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: 2. Find the most general antiderivative of f(x) = 3+22 %3D

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Q: Find the quadratic approximation at (0,0) for f(x,y) = ln(1+x^2 + y^2).

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Q: Let y = f(x), where   f(x) = 4x2 + 6.   Find the differential of the function.   dy =?

A: Given: y=fx=4x2+6 now differentiating given function with respect to x

Q: obtain the family of solutions [x − y arctan (y/x)]dx + x arctan (y/x) dy = 0

A: The detailed solution is given below Thank you

Q: find for x=1 the y value for partivular solutiom, (D^2+3D-10)y=0, when x=0, y=0 and x=2, y =1

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Q: Using the substitution x = sec 0, dx S: J x2Vx2 _ 1 where x > 1, is equal to

A: We can find the answer as below.

Q: B. In each exercise, obtain the particular of solution. (y+ Vx² + y²) dx – x dy = 0; when x = /3, y…

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Q: Find the most general antiderivative of f(x)=6e^x+5 sec^2(x), where -pi/2

A: Please see the answer below

Q: Find the linear approximation of f(x) = Vx at xo = 27.

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Q: What is the I.F of dy/dx=(y+y^2)/x?

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Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* – x)dy = 0

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Q: Verify the linear approximation at ( 0, 0) for e^x cos(xy)

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Q: The antiderivative of the function f(2) +7z is

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Q: Find the antiderivative of the function: f(x) = ex + 3x - x2

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Q: xsin-1(x) is If x =0.1 and y = 0.11, then value of C in the antiderivative of F(x) = V1- x?

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Q: Obtain the general solution using separation of variables dx = t(1 + t²)sec²x dt

A: Given: The differential equation dx=t1+t2sec2x dt . The given differential equation can be…

Q: Consider the function f(x) = 4x° + 7x® – 9z³ – 10. %3D Enter the general antiderivative of f(æ)

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