Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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A: a) fx=8e2xb) gx=9x5e-1 x

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A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the f...

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Q: h(x, y, z) = xyz, P(3, 2, 6), v =

A: We will find the directional derivative. 

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Q: r = sec(20)tan(28)

A: To find the derivative of the function.

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Q: Using the rectangles each of whose height is given by the value of the function at the midpoint of t...

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: Q1: Find the solution of the following Differential Equations 2. dx + 3y = e* + 2 3. dx2 x = 0 dx

A: We will find the Differential equation solution 

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Q: A function f(x) and interval [a, b] are given. Check if Rolle's Theorem can be applied to f on [a, b...

A: To test whether Rolle's theorem is applicable or not.

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Q: Rush

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Q: Ду dy %3D II

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Q: - partial fraction 1 -dx x(x² +1}

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Q: 2. [2xy cos(x?) – 2xy + 1]dx + [sin(x²) – x²]dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the different...

Q: iven the points A (-7, -2), B (5, -2), and C (0, 8), determine the area of the shape ABC. The area o...

A: Given problem:- Given the points A (-7, -2), B (5,-2), and C (0, 8), determine the area of the shape...

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: Q1: Find the solution of the following Differential Equations d²y 1. + y = 6e* + 6 cos(x) dx2 d?y 2....

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Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: 2. Find the general solution of the differential equation: dy dy -5 + 6y = e* dx? dx

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (2,...

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Q: R = {y^2=x-1, x=5}   Can you help me answer this, its about area in calculus. That's the only give...

A: Explained below 

Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 O 2r? ...

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Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14 -10...

A: 1.      -14,-10,-6,-2,_,_,_ -14+4=-10-10+4=-  6    -6+4=-  2   -2+4=      2        2+4=      6      ...

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Q: 10. Homogeneous Equations: Solve the differential equation: xdy – ydx – x? –- y²dx = 0 O arccos() = ...

A: dydx=y+x2-y2xdydx=yx+1-(yx)2y=vxdydx=v+xdvdxv+xdvdx=v+1-v2x dvdx=1-v2  ...(1)

Q: Lincarize : -3x 3x² arourd = !

A: I am attaching image so that you understand each and every step.

Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

A: Given problem:- Solve for the derivative of the function using chain rule.   8.     f(x)= sin (2x)co...