C – 2x – 2. Consider the function f(x) = 7x° +5x° Enter an antiderivative of f(x). Do not enter +c as part of your answer. Answer: +c

Q: Find a if f(0) = 1, f(;) = }, f(1) = 2 and f(}) = f(}) = a give o f(x)dx = using the composite…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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

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Q: The antiderivative of the function 6 f(x) = .1+ 11æ³ is. %3D 2

A: The function is given by fx = 62·1+11x3 To evaluate : The antiderivative of the function

Q: Find the function y(x) satisfying dx2 = 12 - 12x, y'(0) = 5, and y(0) = 8. ay = 12- 12x, y'(0) = 5,…

A: an initial value problem  is an ordinary differential equation together with an initial condition…

Q: F F) s an antiderivative of x-+x-, then what is the value of F(1)-F(-1)2 -1

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Q: Q.1 The natural domain of function f(x, y) =+ Vx²y³ is %3D lyl

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Q: 1S The antiderivative of the function f(x)= a. b. 4V+c C. 8 3% 3 d. 4. +c

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Q: dz appropriate form of the chain rule to find dt Use an = 6x³y³; x = t", y = t10

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Q: For the function f, f(x) = 9/T – 2 find the antiderivative F that satisfies the condition F(64) = 9

A: Given  Since we have to find antiderivative also known as integration Integrating given function…

Q: *z + yz? + 2ry? - = 0 ve z = f (x, y) ise =? what is the f(0,1) at

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Q: On the coordinate plane below, sketch a graph of the antiderivative of f(x) that goes through the…

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Q: x* - 2y* (d) Is the function f(x)=- Vx +. homogeneous? If, yes, then find the degree of f(x).

A: We have to examine that the given functions  is homogeneous or not

Q: Find the most general antiderivative F(r) of the function f(x) in each part: a) f(r) = 12r3 +4VT- e…

A: To evaluate antiderivative F(x) of the function f(x)=12x5+4x-ex+1 We know that∫xndx =xn+1n+1 +C ;…

Q: Determine the general antiderivative of the function. 1 8 (x) = %3D 1+4x² True or false? S (x) = ; ·…

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Q: Let F(x) be an antiderivative of f(x), with F(1) = 30 and | f(x) dx = -8. What is F(6)?

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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: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=11 and y=20 ?…

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Q: xsin-1(x) If x =0.56 and y = 0.23, then value of C in the antiderivative of F(x) = is V1-x²

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Q: Find frx, fæy and firy for the function f(x, y) = (1+x + g)e*

A: Given: - The function is, f(x,y)=(1+x+y)e-xy To find: - The value of fxx,fxy and fyy for the given…

Q: Calculate the LOS of y = x² LOS is x = a is b is c is

A: Given equation is in the form of ax^2+bx+c=y Here a=1 b=0 C=0.

Q: Find the antiderivative, G(t), of the function g(t) = (3n?t? – t4)V3n2 – t2.

A: g(t)=3n2t2-t43n2-t2To Find: Antiderivatve G(t) of the function. i.e. we need to find the integral of…

Q: B) Find (2) for the following functions: dx u? y = u² +1 u = 3x³ -2 at p (1,2)

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Q: Determine the form of a particular solution y, (x) for y" - 4y'+5y e*+xsin 3x- cos 3x. [Do not…

A: Solution: The given differential equation is y''-4y'+5y=e5x+x sin3x-cos3x. For the complimentary…

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

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Q: Determine the general antiderivative of the function. 3 v (z) = (2 – 7x)* . %3| 1 True or false? V…

A: ∫xndx = xn+1n+1 + C

Q: xi (9a“ –10) The antiderivative of f (x) = is F (x) = 30 where "a" is equal to

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Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: Hw z] Find Sxsin(x)dx using this rule.

A: Given that, Using the chain rule, The integral becomes,

Q: What is the I.F of (x^2+y^2+1)dx+x(x-2y)dy=0

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Q: xsin-(x) If x =0.03 and y = 0.62, then value of C in the antiderivative of F(x) = is V1-x2

A: Given  F(x) = x sin-1(x)1-x2

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: Determine the r values for which the f unction y(x) is solution of the x² + 1 equation y – 2xy? = 0

A: We have to find

Q: Q8) Find the Linearization f(x.y.z) = x² + xy + yz +? at (1,1,2)

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Q: V Sove using variaton of parameters recuction of order or (D² - 2D+1) y = e*(e*+)*

A: Please find attachment for the details solution

Q: + 12du = 0, t> 0 with u(x, 0) = f(x), 0 < x < 1. Determine the characteristics and sketch them.…

A: Given: The given partial differential equation 3∂u∂t+t2∂u∂x=0 with  u(x,0)=f(x),0&lt;x&lt;1.

Q: Given the function(x) = x3+ 1, find the ∆y, dy, ∆y-dy

A: f(x)=x3+1

Q: Q16: Consider the D.E. (x – 1)³x²y" – 2(x – 1)xy' – 3y = 0. Is xo = 0 an ordinary point? Explain…

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Q: sive a particular solution for y" - 2y' + y = z 1+x2

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Q: f(x) = 3x²+x+7. Approximate fo trapezoids. O a. 60 Ob. 44 Oc. 30 Od. 22 f(x)dx using the trapezoidal…

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Q: Find an antiderivative F (x) with F' (x) = f(x)= 9+24x³ + 12-5 and F (1) = 0. Remember to include a…

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Q: Apply the Trapezoid method to the ODE x′ = −x + t√x for two steps with x(0) = 1 and h = 1/4. Show…

A: Given ODE is x'=x+tx Let f(x,t)=x+tx Also given initial condition is x(0)=1 and h=14 By Trapezoid…

Q: Let F(x) be an antiderivative of f(x), with F(1) = 20 and * f (x)dx = -7. What is F(4)?

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Q: Find the 2nd solution using variation of parameter. y" + 16y=0; y₁ = cos4x For the toolbar, press…

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Q: Determine if F(x) is an antiderivative of f(x). F(x) = x²e*, f(x) = e*(x² + 3x) Show the…

A: The given function is: fx=exx2+3x And, the given antiderivative (integral) of f(x) is: Fx=x2 ex To…

Q: a Find the antiderivative of: ii x2 iii 25 iv x-2 b From your answers in a, predict a general rule…

A: We find antiderivatives here.

Q: Cor the function f(r,y) = 3x² + 6xy + 4y², find and classify all critical points.

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

A: our objective is to find f(x)

Q: dy Assuming - 9x³ - 2y - 7xy = 0 defines y as a differentiable function of x, use the theorem Fx to…

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Q: How do I find the verticle asymtotes? f(x)= 1/ √x sec x

A: Vertical asymptote occurs when denominator is 0.

Q: Find the orthogonal trajectories of x2 + y? – 2cy = 0

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