4 Compute each of the following. Simplify your answer and use 5 Consider the function f(x) exact values. f'(m) = f"(x) = %3D f'''(x)

Q: 5. [4e2xdx

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Q: Solve by Chain Rule 8 poir f(y) = /2y + (3y+ 4y²)³ %3D

A: Here clearly not mentioned, what to do with this question, but as we know chain rule is applied to d...

Q: Parametric equations for the line through (5, 3, 7) and parallel to the line æ = 3 – t, y = 2, z = 8...

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Q: Find the Implicit Derivative. (x+y)²=2ay

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Q: consider a Ctosed Kectangutar box with a Hw.4 squar bare, If base side isr measured with ekrorat, an...

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Q: 2. y(x? + y? – 1)dx + x(x² + y² + 1)dy = 0

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Q: Show the following limit does not exist. Be sure to carefully explain your reasoning. lim (2,0)(0,0)...

A: a) limx,y→0,0x2yx4+y2b) fx,y=x2yx4+y2x,y≠0,04x,y=0,0

Q: (2x2+4x-1 dx 2x-1 2x J.

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Q: Alchanges sa 6. Consider the rabbit pairs that illustrate the pattern in the Fibonacci sequence. The...

A: step 1:-Given that: After reaching at the age of 2 months, rabbitproduce exactly 1 pair of new rabbi...

Q: 3. What indeterminate form is the lim x. Evaluate the limit.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O ...

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Q: Graph the piecewise-defined function. x-3 if x55 f(x) = 2 if x>5 Choose the corect graph. OB. Oc. O ...

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: 2x 3 . Compute each of the following. Simplify your answer and use Consider the function f(c) %3D I ...

A: Given the function  f(x) = 2x-3x+2 We know that  uv' = v·u'-u·v'v2

Q: If you have 140 meters of fencing and want to enclose a rectangular area up against a long, straight...

A: For constructing a wall, base of the wall can be neglected as it is the ground. So the other three s...

Q: 5. 4e2xdx

A: Given:       ∫4e2xdx Taking constant out.     =4∫e2xdx substitute u=2x→dudx=2→dx=12du       =4∫12·eu...

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: Given, Monthly marginal revenue cn be approximately by: R'(x) = 0.96 - 0.0064x So, dR = (0.96 - 0.00...

Q: 2. Differentiate the following. Simplify your derivatives as much as possible. f(x)= (3x² – 4) |b) y...

A: As per our company guidelines we can answer only three subpart question at a time so if you nee more...

Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k + ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges giver by the vectors u, v and w is...

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Q: 6. y = (x² – 1)tnx

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Q: 2x+ln(x) С. у %3 Vx

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Q: Tank A contains 402 litres of brine holding 123 N of dissolved salt, and tank B contains 402 litres ...

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Q: Solve by Chain Rule g(t) = sin (e1-t + 3 sin(6t))

A: Solution is written in below steps.

Q: Ferential Equations 2) y-16y 0

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Q: Let f(x) = and calculate V35-z+1 dr by using integration by substitution. What was your substitution...

A: substitution method find integration

Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: To estimate the bound of error for order one in lagrange interpolating .polynomial we drive-------ti...

A: solution

Q: 2. S(2 – 3e*) dx

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Q: APPLICATION: Direction: Show the following. 1. f(x) = x2- 6x + 3 is continuous on the interval [- 3,...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: Given the expression an = V4n² + 3n – 2n for n >1 Check whether this is convergent or divergent: {an...

A: solution:-an=4n2+3n-2n   for   n≥1Divergent testlimn→∞an=limn→∞4n2+3n-2n=limn→∞4n2+3n-2n×4n2+3n+2n4n...

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12 ...

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Q: 9. S sin(4x – 2) dx

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Q: 11. In x)3 dx 4x

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Q: Verify that the series Σ n=1 satisfies the conditions of the Integral Test, then use the Integral Te...

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Q: f (x*) and G(x) = (F(x))* . Let F(¤) You also know that a' = 5, f(a) = 3, ƒ'(a) = 9, f'(a*) 13 Then ...

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Q: 3) A cylindrical fish tank is 8 meters deep and has a radius of 3 meters. The depth of water in the ...

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Q: Solve by Chain Rule f(V) = /2y + (3y + 4y²)³

A: The answer is in step 2

Q: Directions Show the following x-6xt3 is continuour on the in terval [-8,2]. |

A: To show that the given function is continuous in the interval [-3,2]

Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse axis...

Q: 2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)*(x – 1)ª I dx...

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Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j – ...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from the point P to the line through A and B using the method given. 

Q: Directions: Evaluate the following integrals. Show your complete solutions. Identify the u and the d...

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Q: 4. A container with square base, vertical sides, and open top is to be made from 1000 ft2 of materia...

A: Volume of box is x2 y where x is the base and y is height of the box. 

Q: Please

A: We will find the measure of the angles. 

Q: Use implicit differentiation to find y' and then evaluate y' at (- 1,1). x In y + 3y = 3x³ y' = D y'...

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Q: Directiona: rolve the pollowing. 4) Given by flx) = x² +x² and glx) = 2dx; what is f'(x)-g(x) ? %3D

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Q: Use implicit differentiation to find y' and then evaluate y' at (2,0). 4 eY = x? - y³ y' = D y'l20) ...

A: