Use the chain rule to find the derivative of 4 f(x) = 8V7x + 10x Type your answer without fractional or negative exponents. Use sqrt(x) for

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A: topic- differential equations

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Q: VI APPLICATIONS 1. Solve for the orthogonal trgectories y2= 4x (1- kx) %3D

A: A detailed solution is given below

Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)   (f−g)(7)=(f...

A: The functions are f(x)=x2-2x   &    g(x)=3-x2

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A: Let's find. 

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A: P(x) = −(2x − 1)(x + 1)(x + 4)

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A: NOTE: Refresh your page if you can't see any equations. .

Q: A. Find an equation of the level surface of f(r, y, 2) = 4.x2 + 22 that passes through the point (1,...

A: Given:     f(x,y,z) = 4x2 + z2      Point: ( 1 , 2 , 3 )

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Q: 5. (3x - 2)xdx

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Q: 5. Find the equation of the line tangent to the graph of f(x)= 2x' +4x² – 5x– 3 at | x = -1.

A: f(x)=2x3+4x2-5x-3diff w.r.t xf'(x) =6x2+8x-5now substitue x=-1f'(-1)=6(-1)2+8(-1)-5f'(-1)=-7slope of...

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Q: Find the tangent line to the curve y = 2x - x2 at (2,0)

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula...

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A: Given:    Data Table is given

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Q: y = V(4x + 3)³

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Q: y = x- Sin 2x %3D

A: topic - derivative of a function

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A: Given function, z=x3ey2+y5ln(2x+y)

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Q: 9. (b + 4)e db

A: This question is based on Indefinite integration.

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Q: Find the derivatives of the following Trigonometric Functions and Inverse Trigonometric Functions:

A: y = ex sin-1xdydx = ex ddx(sin-1x) + sin-1x ddx(ex)        = ex 11-x2 + ex sin-1x 

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Q: 2.

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Q: Find f'(x). f(x) = e – x³ arctan(x) -(3 + 3x2 arctan(x) + arctan(x)(3x4)) x2 +1 f'(x)

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Q: S 3x f"(x) dx 48 42 36 NONE OF THE CHOICES о

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A: This is a basic integration problem

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A: Given: I=∫-∞122x-32dx   We know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx

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A: Given that f(x)= 3x - 3x. And at x=6 find the slope of the graph of this function.     Here i attach...

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A: find the solution of given differential equation. dydx+2yx2-4=x+22x2-4

Q: dx x2 – 64 First, rewrite this with partial fractions: S, da = f 1/(x+8) dx + [ 1/(x-8) dr = log(x+8...

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Q: Solve the given differential equation x2y" + xy' – y = In x y(x) =

A: Given: x2y''+xy'-y=ln xAsnwer: y(x)=c1 x+c2x-ln xUsing Cauchy's Euler method:Substitute  x=et; x>...

Q: C. Without a table of values and without graphing f(x), give the values of the following limits. 21-...

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Q: Consider the equation below. x2 - y? +2 - 2x + 2y + 4z + 1 =0 Reduce the equation to one of the stan...

A: Given equation is      x2-y2+z2-2x+2y+4z+1=0