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Q: QUESTION 5 A spherical balloon is being inflated at a rate of 8cm3/s. Find the rate of change of the...

A: Explained below 

Q: sin ev^e k. Find the value of Let n be the outer unit normal of the elliptical shell S: 16x + 9y + 1...

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Q: Given v = 31 - 5) and w=i-j, a. Find projw v. b. Decompose v into two vectors v, and v2, where v, is...

A: Given that v=3i-5j, w=i-j, can be solved as shown in step 2.

Q: Let f(1) = 8 sin z +5 cos z %3D f'(z) = %3D

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Q: Give a rough sketch of the graph of the curve r= 1+ cos40, 0 < 0<2r.

A: The given curve is  r=1+cos 4θ,  0≤θ≤2π

Q: 1. a) Find the successive derivatives of the following functions: (x' +80x²)* ii) Z (x* +10x +20) 21...

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Q: Evaluate sin(z – 2) lim z2 12+2z - 8 Limit %3D

A: NOTE: Refresh your page if you can't see any equations. . use the L'hospital's rule 

Q: ² -1

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Q: 21 2 m² term in the expansion of (z+2m). 23 Use the binomial formula to find the coefficient of the ...

A: This is the question from bionomial expansion.

Q: aph or the der J' of a function fis shown. Answer the following questions only on the interval (-6, ...

A: Topic = Application of derivatives

Q: The derivative of In (cos x) is A -tan x B None of the given choices tan x D sec x -sec x

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Q: ind f(x

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Q: The cartesian product of graph is associativity?lf it's yes expalain why and give examples and prove...

A: The cartesian product of graph is not associative unless one of the involved set is empty.

Q: 51-56. Working with binomial series Use properties of power series, substitution, and factoring to f...

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Q: Use the Divergence Theorem to find the outward flux of F = 2y i+ 5xy j- 4z k across the boundary of ...

A: Given, F(x,y,z)=yi+5xyj-2zk Where S is the surface of the solid bounded by the cylindrical x^2+y^2≤4

Q: The price-demand equation for a particular flashlight is given by p=123-0.003x, where x is the numbe...

A: The demand equation is : P = 123 - 0.003x(0, 71) , (6750, 98) =&gt; P - 71 = 98 - 716750 - 0(x - 0)=...

Q: Find the cylindrical equation for (x-12)² + y? = 12². %3D o a.r = 12 cos (theta) o b. r^2 = 144 O c....

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Q: 21XVX2 + 9 dx = 70V10 189, what is 21uV u2 + 9 du? Given that

A: LetI=∫0121xx2+9dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=21∫01xx2+9dxPut u=x2+9du=12x2+92xdxdu=1uxd...

Q: Use a parameterization to find the flux JJ F.n do of F = 5xy i- zk outward (normal away from the z-a...

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Q: QUESTION 3 A conical water tank with vertex down has a radius at 10 meters at the top and is 24 mete...

A: Given; Radius of cone =10m Height of cone =24m.

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the c...

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Q: Question 8 X-2 If f(x) = x2 +4 then what is the derivative of f at x=-1?

A: Given! f(x) = (x-2)/(x2+4).

Q: Find the arc length of the graph of y^2=4x^3, between points (0, 0) and (2, 4sqrt(2)).

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Q: Find the linearization of f(x,y) at the indicated point (X0,Yo): f(x,y) = In (x² + y); (1, 1) L(x,y)...

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Q: The function P(x) = - 0.52² + 225æ – 7500 gives the profit when a units of a certain product are sol...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Evaluate the indefinite integral given below. dx 64 + 9x2

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Q: A particle moves along a line so that its velocity is given by v (t) = -t+ 2t? + 2 t for t > 0. For ...

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Q: Determine if 16 = 1 is a hyperbola and if it is, which type it is. The transverse axis is 25 (x – h)...

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Q: Find the critical numbers of the function f(z) = z2 - z / Answer (separate by commas): z =

A: Solve the given problem.

Q: Evaluate the expression cos sin 3. Give vour answer as an exact value

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Q: Complete the following. (a) The graph of y-f(x) is shown. Draw the graph of y3f(2x)+3. (b) The graph...

A: (a) The graph of the function y = f(x) is given as 

Q: find the equation of the tangent line to the curve y=x 'square root of' x at the point (1,1).

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Q: SUVE the equation. Give a general formula for all the solutions. List six solutions. Cos 0 = 2

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Q: The tangent plane at the indicated point (xo,Yo:Zo) exists. Find its equation. f(x,y) ху; (- 7,6, - ...

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Q: 22. closed region D = use the Lagrange multipliers algorithm at some point. Find the global maximum ...

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Q: y'dy 3 (4–v’) 2

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Q: Use Green's Theorem to evaluate (y? tan- a?) dx + (3.xy+ 4x – In(y² + 4)) dy, where C is the triangu...

A: We need to evaluate integral.

Q: Suppose that f(x)=9x^2-2x, find A.f'(x)= B. the slope of the graph of f(x) at x=2, x=3 C. e...

A: The given function f(x)=9x2-2x Note:   Multiple sub part are given we are answered with only three p...

Q: 4. g(x) = Vx -1sec-1x %3D

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 27. Consider the piecewise path which goes along (t,3 – 3t, -t) for 0 <t<1, then along (1,t,-1+ t) f...

A: Line Integral along the given parametric curve.

Q: Question 6 x2-3x – 4 Which of the following is the removable discontinuity of f(x)= :? x²–16

A: Solution is here

Q: A huge tank contains 500 gallons of brine solution and 40 pounds of salt. At a rate of 5 gal/min, a ...

A: Given that , Total brine solution = 500 gallons and salt = 40 pounds Rate of pumped in = 5 gal/min a...

Q: Helene Gauthier invested $15,000 on January 1 in a partnership. She withdrew $2000 on June 1, withdr...

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Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = (y +z)i+ (...

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Q: If the sun is 57° above the horizon, find the length of the shadow cast by a building 93 ft tall. Ro...

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Q: (co-) Evaluate the expression sin COS

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Q: 2. Sketch a diagram of any angle in standard position terminating in quadrant II, that has the point...

A: Let's find. 

Q: In what direction does f(x) = 6xy - 8x increase most rapidly at (- 9, 0)? V f( – 9, 0) =

A: Given function  f(x,y) = 6xy-8x^2.  

Q: Write a single iterated integral of a continuous function f over the following region. The region bo...

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Q: 18) Find volume generated by rotated the region bounded by z = y² – 1 and z = 5 – y about the follow...

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