dy sing Logarithmic Differentiation, find given that dx -3 sec(V) y = 4* (log2 x)*ech z

Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: Solve the given ordinary differential equation: xsin(x) (x³ + 2) dx + (;+ xsin(v))dy = 0 п(у)) dy x°...

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Q: A power line is to be constructed from a power station at point A to an island at point C, which is ...

A: We have to find the distance SA.

Q: Ilxě dx

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Q: S (5x - 3x + 5) dx %3D

A: recall: ∫xndx=xn+1n+1+C

Q: For the sequence 2, 4, 8, 16 .. ., give a formula for its nth term:

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: Let's find. 

Q: 1: Find the area of the region bounded by the graphs of x = y², y = x + 3, y = -3 and y = 2.

A: The region is bounded by x=y2, y=x+3, y=-3 and y=2

Q: An 8- meter ladder with its foot 4 meters from the wall slides away at a rate of 1.5 m/s.

A: Find your answer below 

Q: 1. Evaluate the integrals and sketch the region of integration. 1) º, S(+y +1)dædy 2) So , 1 sin ydy...

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Q: Find a power series representation centered at 0 for the following function using known power series...

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 54x2/3 − 4x ...

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Q: Ax) = ,5-9,4+73 -5,2 -8x+1 is continuous on (-o, co) because fx) is a polynomia and polynomials are ...

A: The objective is to state true or false of the above question.

Q: V+12-4 3 .lim X-2 tan3x 2. lim X-0 sinax 4). lim X00 x-7x+1 x-2

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Q: In the following diagram, S represents the position of a power relay station located on a straight c...

A: In the following diagram, S represents the position of a power relay station located on a straight c...

Q: . Tell if the following infinite series converges absolutely (-1)**' 2 or conditionally En=1 5n

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j.

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Q: Find the derivative of the following. Factor and simplify your solution completely. No negative expo...

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Q: explain

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Q: 2 )" B) None x+4 tan +C 2 x+4 D sin +C 2 x+4 E tan +C 2 2.

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Q: List the first four terms of each sequence. An = 2n + 6: 8 10 12 14 ,.... bn = (4)" : 4 16 64 256 ,....

A: We can find first four term of the given sequences . Put n=1,2 ,3 ,4 and find four terms of the sequ...

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Identify the local extrema of f(x) = x³ – 4x² + 4x O Local Maximum of 2 at x=0 and Local Minimum of ...

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Q: dy/dk=(3ky+y^2)/(k^2+ky)

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Q: cos? 2 2 dx sin -1 2

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Q: Find a formula for sn, n > 1, if sn is given by 4 5 7 8 8' 11' 14' 17 Sn =

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Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x – In ...

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Q: lim ( In 2x + 5) + 4 X-1

A: The given limit,       limx→-1ln 2x+5+4

Q: A mineral deposit along a strip of length 1 cm has density s(z) 0.08r(1 -) g/cm for 0 <z <1. Calcula...

A: Given problem:- A mineral deposit along a strip of length 1 cm has density s(x) = 0.08x(1-x) g/cm fo...

Q: A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at ...

A:   using pythagoras theorem;z2=x2+42z2 =16 + x2  ....(1)Differentiating w.r.t time t;2z dzdt=0+ 2x dx...

Q: Solve the dff oq dy 3x寸票-5-2 %3D

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Q: A parabola passed through (3,15) and (9,15). Determine the axis of symmetry The x-intercepts of a q...

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Q: 45 sy = +x +

A: answer of given question is in next step

Q: The graph of f (x) is provided below, select the approximate value for the derivative at each point....

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: Use dervative

Q: A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. ...

A: we know that surface area of sphere is S=4πr2   As per our guideline, we supposed to answer only the...

Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 42 y =0 C. y...

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Q: Solve the dff oq 2. 3. 3. %3D 1

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Q: dy Example 1.2.15: Let y=6u' + 5u , u=ln x, find dx

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Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 0. -1 -2 -3- -4+ i. A(2) = ii....

A: Given query is to find the value of A(2) and A'(2).

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A: Given; I=∫2x3-16x2-39x+8x2-8x-20dx We know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax...

Q: Let g be a function that is defined for all x, x + 2, such that g(3) = 4 and the derivative of g is ...

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Q: - Evaluate the following integral. | e2* cos3x dx

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Q: |. Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You m...

A: Taylor's Series of f(x) about 'a' :     f(x) ≈ f(a) +f'(a)(x-a)+f''(a)2!(x-a)2 +f'''(a)3!(x-a)3+... ...

Q: A ball is launched into the air. 21 feet away from the launch site is a camera. If the ball is trave...

A: We have to find the rate of change of angle of elevation as seen by a camera placed at 21 feet away ...

Q: Question 7 7 Let f(z) : and g(z) = %3D I-5 Find the following functions. Simplify your answers. f(g...

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Q: Use the graph of z = f(x, y) to determine the sign of each partial derivative of f at the point P. O...

A: Given query is to find the sign of the derivative.  

Q: To evaluate e"sin (e2^) cos(e2") dx. we let u=e* A True

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Q: The length and width of a cardboard are 24 ft and 15 ft. We are going to cut out the corners and fol...

A: The length and width of a cardboard are 24ft and 15ft. We are going to cut out the comers and fold u...

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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