8. Find the antiderivative F(x) of f(x) = -x + 8. Compute F(7) – F(2).

Q: Express the general solution in terms of Bessel functions: z²y" + 4xy/ + (x² + 2)y = 0

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Q: Any two antiderivatives of f (x) differ by a constant.

A: We need to check whether two antiderivative of f(x) differ by a constant.

Q: Find the most general antiderivative of f(x) = 2 – 2x³ + 7x° + 5x". Note: Any arbitrary constants…

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Q: Find the antiderivative of xe2x/(1+2x)2 from 0 to 1/2

A: Given the integral ∫012xe2x1+2x2dx

Q: compute for antiderivatives f(x)= x2-2 f(x) = x(x-4) f(x) = 3x2+2x+1

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Q: 8. Find the antiderivative of the following functions: a) f (x) = 3 b) f (x) = 2x c) f (x) = 5x

A: We have given to find derivative of the function  a) f(x) = 3  f'x = ddxfx f'x=ddx3 f'x=0 b) f(x) =…

Q: Suppose that F(x) = –3x* is an antiderivative of f (x) and G(x) = 2x' is an antiderivative of g(x).…

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Q: 1. If f(x, y)=3x' cos y– y sin x– 2.x In y- yln x-4x²y, find ôf ôf d²ƒ _ô²ƒ

A: According to question given thatf(x,y)=3x3 cosy-y2 sinx-2x ln(y)-y ln(x)-4x2y

Q: Find the linear approximation of f(x) = ln x at a = 1 and use it to estimate In(1.2). L(x) = In(1.2)…

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Q: What must be true of F(x) and G(x) if both are antiderivatives of ƒ(x)?

A: For a function f(x) to be anti-derivative of F(x), f'(x) should be equal to F(x).Similarly, for g(x)…

Q: 8. What is the relationship between a and b so that F(x, y) = (ary, 3ax + bry) is source free?

A: That's easy. Have a great day!!!

Q: 6 1) Find the general antiderivative for f(x) = 1+ x?

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

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Q: Find the general solution using Reduction of Order: y''+y'=cos 3x

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Q: What is the antiderivative of 1 / (x - (1/k)x^2) with respect to x? k is a constant

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Q: Find the general antiderivative of f(x) 3 – 4x* + - 5VT x3 Preview 2.

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Q: 11. Find two different antiderivatives of the function f(x) = 6x² +2ex. 1

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Q: 1 Find the most general antiderivative of the function x3 + 4x

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Q: 9. What is the antiderivative of f (x* – x³ + x² ) dx? - 1 r5 а. 5 1 1 --x4 +x³ +1 4 -3 с. X. 4 3 b.…

A: Given :   ∫ ( x4 - x³ + x²).dx    NOTE:   To find an Antidervative for a function f , we can often…

Q: f(x) = 2x° –x + 5x f(x) = 3/x – 2x

A: We know ∫xn dx = xn+1n+1+C     n≠-1   where C is constant of integration.

Q: Find the most general antiderivative of f(x)=−7x^2+8x−2. Note: Any arbitrary constants used must be…

A: An anti derivative of a function f is a differentiable function, whose derivative should be equal to…

Q: The antiderivative of the function 4 .3 + 10x³ is, 4 f(x) - -4 .3 + 2.5x³ + c 4 -10 + 1.0xª + c -4 +…

A: According to question given f(x)=44.3+10x3We have to calculate the antiderivative

Q: S de x² –2 x+1 A x2 --x - In Ix + 11 + C C x2 +x - In Lx + 11 + C B x² -x + In Lx + 11 + C x2 +x +…

A: Given ∫x2-2x+1dx. The objective is to evaluate the integral.

Q: Find the general form of the antiderivative of g(x) = - cos4x

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Q: find the antiderivative that satisfies the given condition 5-3(1+x^2)^-1, F(1) = 0

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Q: Find the most general antiderivative of f(x) 2x-1+x.

A: Given,            f(x) = 2x2 - 1 + x-2

Q: Consider the Cobb-Douglas production function f(x, y) = 100x1/3y2/3 where x is the number of units…

A:

Q: 7. Find the most general antiderivative, F, of f(x) = (2+x*) (10– x³). a) Fle) - (2+) (10r -) +c 2х…

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Q: If g(x) = - - S^*[e'- In(2t+1)]dt, find g'(x) . dx A ex-In(2x+1) 4 B

A: We can solve this as follows:

Q: If f(x) = 1-x* , then an antiderivative F(x) could be Inx| -x А. 6-x C. 5x 3x 5 Inx| – x* 1+x° В. D.…

A: f(x) = 1-x5xAntiderivative F(x) = ∫ 1-x5xdx∫ 1-x5xdx= ∫1x-x4dx= ∫1xdx - ∫x4dx= ln x - x55 +…

Q: 17 If f(x)dx =17 and F(5) = 3, ( where F is an antiderivative of f(x)), what is the value of F(2)?

A: First we integrate using the fundamental theorem of calculus

Q: y" +y' = cos 3x

A:

Q: 2. Find and classify all the extrema of the function f (x, y) = 4xye e-(x²+y²)/4

A: The given function is:  f(x,y) = 4xy e-(x^2 +y^2)/4

Q: If y = x(x – 1)* then y' at z = 2 is equal to

A:

Q: Find the most general antiderivative of: f(x) = 4√x − sec(x) tan(x) + (7/(x2+1))

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Q: Suppose that F(x)=−4x^3 is an antiderivative of f(x) and G(x)=3x^3 is an antiderivative of g(x).…

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Q: what is the antiderivative F(x) 0f f(x)=3x^((1)/(2))-x-1that satisfies the condition F(4)=0 A,…

A: Given that:f(x)=3x1/2-x-1, F(4)=0

Q: Find the most general antiderivative of: f(x) = 4√x − sec(x) tan(x) + (7/x2 +1)

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Q: Suppose that the function f(x, y) = x°y+ax – 8y + 5 has a critical point at (2, –2). What must the…

A: For a function of two variables, f(x, y), a critical point is defined to be a point at which both of…

Q: 29. What is the particular antiderivative of f(x) = 6x whose y-intercept is -4? x2 – 1 a. y = 4 ln…

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Q: Consider the Cobb-Douglas production function f(x, y) = 100x1/3y2/3 where x is the number of units…

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Q: Where does the function f(x,y)=3 − 10x + 12y − 5x2 − 6y2 have a critical point?

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Q: Find the most general antiderivative of the function. f(x) = 15x²-14x+8 O a. F(x)=6x²– 14x +C b.…

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Q: 1. Find the most general antiderivative of the function. 4x2 +x +5 (a) f'(x) = x2 1 (c) h'(x) =…

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Q: if f(x)=integral t^3+5t^2+6, from 0 to x. what is f''(x)=?

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

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Q: 3. Express the general solution in terms of Bessel functions: z²y" + 4ry' + (x² + 2)y = 0

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3 The antiderivative of the function f(x) = + 9x is x2 -3 4.5x2 + c 3 + 18.0a? + c 6- + 1.5x + c 3 +…

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Q: 5. What is the most general antiderivative of the function S(2) = z - 2, in other words, what is -…

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Q: Suppose that F(x) = 5x° is an antiderivative of f (x) and G(x) = -4x' is an antiderivative of g(x).…

A: Integration

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.