If f(x) = 3x – 4 and 9(x) = x°, what is the value of f(g(2))?

Q: Find the value of df/dx at x= f(a). f(x) = x² - 2x+ 4; a = 3

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Q: An insect is in a toxic environment. The level of toxicity is given by T(x,y)= 2x* – 4y° If the…

A: Tx=0⇒x=0Ty=0⇒y=0Using D-TestD=TxxTyy-[Txy2]D=0 at (0,0)   T(x,y) is minimum

Q: Find d2y/dx2 implicitly in terms of x and y. xy − 1 = 2x + y2

A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

Q: Suppose a cheetah is dashing due north at a rate of 30 m/s toward a popular watering hole, and a…

A: We need to find x(t),y(t),r(t) in the above question.

Q: In the given question , find d2y /dx2 implicitly in terms of x and y :-   xy - 1 = 2x + y2

A: In the given question , find d2y /dx2 implicitly in terms of x and y :- xy - 1 = 2x + y2

Q: d'x +x=f(t), if x =x' = 0 for t = 0. Solve d?

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Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: +] has the general solution u(x, y) = e"[f(x)+g(y)] where f and g g are arbitrary functions

A: ∂2U∂xdy+∂u∂x=0let U(H.Y)=e-yf(x)+g(y)

Q: Show that the function f(t) = 1² – } is a solution of the dif- ferential equation (y')² – 4y = 2.

A: Given:       f(t)=t2−12.Differential equation is: (y')2−4y=2

Q: The general solution to y'' - xy' + y = 0 is given by:

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Q: Find the General and Particular solution of = 4y ; y= 3,when x = 0 dx

A: Given: dydx=4y

Q: f (x) = 5.6 sin (2.6x – 4.2) – 9.1- What is the equation of the midline of the function %3D o y =…

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Q: ƒ (x, y) = ln (√√x²y³) f

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Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: Approximate the value(s) of x that satisfies the equation lnx =x2 −1.

A: The given equation is: lnx=x2-1 To find the approximate value of x that satisfies the given…

Q: If f(2) | e'f(t) + e" dx then f(x) is equal to

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Q: Find (a) E (Y/X= 2)

A: Answer: Using the given joint probability function for the random variables X and Y

Q: (b) Given [f(x)dx = 21 f (x)dx = 29, find the value of S. 25 (x)dx . and

A: ∫102f(x)dx=21∫107f(x)dx=29

Q: If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

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Q: If f(x) dx = 37 and g(x) dx = 16, find S [2f(x) + 3g(x)]dx.

A: Given data:

Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

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Q: Find the general solution of the following using the method provided: 3. Variation of Parameters y"…

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Q: e + xy + 4x = 1 ise y"(0) =?

A: ey+xy+4x=1 Differentiating with respect to x, we get…

Q: Find d2y/dx2 implicitly in terms of x and y. x2y − 3x = 8   d2y/dx2 =

A: Consider the given function, x2y-3x=8 use implicit differentiation method and differentiate with…

Q: If f(x) dx = 3 and f(x) dx = 4 what is the value of %3D 5f(x) dx?

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Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: Y"-2y'+2y=e^2x(cosx-3sinx) by using  Variation of parameters

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Q: ;F · dř = Sc(-5æ + 4y³) dx + (x³y) dy, what is F?

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: If it is known that ºf(x) dx = 17 and f f(x) dx = 12, find ſº f(x) dx.

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: A particle moves in a straight line such that its acceleration when at position (with respect to a…

A: Given: a=x3+4, v0=11 The objective is to calculate the velocity function v of the particle when at…

Q: 9. If f(x) dx = 35 and g(x) dx 14, find | [3f(x) + 4g(x)] dx. %3D

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Q: I am not sure how to do this. For the linear function y=f(x)=1x−3 Find df/dx, at x=5

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Q: If y = x3 – 2x2 + 3x – 1, then d2y/dx2 is equal to

A: topic - derivatives

Q: Then E(((X + 2Y)'D is equal to:

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Q: The answer for x is correct but the answer for dy is wrong.

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Q: 2. Find the general solution. y' + sec x y = cos x. а. b. y' +y =÷(e* -e-*).

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Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

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Q: 9. If f(x) dx = 33 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

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Q: f(x)dx = 12 and f(x)dx = 3.1, then f(x)dx%=D If

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Q: If ƒ x Inx dx = x² In x – S f(x)dx, what is the value of , 4f (x)dx?

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: 2. Find in terms of Jo and J,: x²½(x)dx

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Q: An insect is in a toxic environment. The level of toxicity is given by I(x,y)= 2x* – 4y If the…

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Q: dx 2. = 3x. dt

A: The given differential equation is                                                    dxdt=3x…

Q: . Solve the following problem (a) Y'(t) = XY(t) + 1, (b) Y'(t) = \Y(t)+t, Y(0) = 1. Y(0) = 3.

A: In this question, we will solve the given linear first order differential equations.

Q: If f(x) dx = 10 and F(x) dx = –7, find ſ* f(x) dxr. %3D relugte:

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Q: If f(x) dx = 33 and g(x) dx 14, find [4f(x) + 5g(x)] dx. P Type here to search

A: We have to find

Q: If S f(x) dx = 12 and f(x) dx = 42, find the value of (2f(x) – 3) dx. 1.

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Q: Fh(x)= x° – 5xª – 35a³ 35x3

A: