II. Worded Problems 1. A rope 96 feet long is divided into ratio 3:5, find the length of each part.

Q: webassign.net/web/Student/Assignment-Responses/last?dep=28727898 * ES (M Paused Let f(t) = 2t2/3 + t...

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

Q: Given: sin A = and cos x = - 12; evaluate the following expression. %3D (A: Quadrant I, x : Quadrant...

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A: We have to use properties of log function to solve the problem.

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Q: Write each of the following in Sigma notation: 1 2 3 4 5 +-+-+ 3 8. 9 + 16 + 25 + 36 + 49 + 64 + 9. ...

A: For (8),     9+16+25+36+49+64+...=32+42+52+62+72+82+...=∑n=3∞n2

Q: Find parameter a of the model by using the least square method. f(x) =x 6(x) = a* x 100 Error(a) = ,...

A: To find the parameter of the model by using the least square method.

Q: M. F. Given the equations y = Inx +1 on the interval 1 <x< 2, set up but do not evaluate the integra...

A: We have to find the surface area.

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Q: 11. The maximum point of the curve * y =r' - 3r° + 4 is at

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Q: f(t)=t2 and g(t)=t, then the Wronskian W(f,g)(t) is: (A)-t2 (B) t-t2 (C) t (D) t2

A: Given query is to find Wronskian W(f,g)(t).

Q: B. If k is any real number, prove or disprove that sinkx 1. lim x-0 kx = 1.

A: We will prove this by L'Hopital's rule

Q: Find the open intervals on which f(x)= x^4+8x^2 is increasing or decreasing. Find the critical value...

A: Given problem:- Find the open intervals on which f(x)= x4+8x2 is increasing or decreasing. Find the ...

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Q: in general form x² – 2x – 6y – 5 = 0? 5 A B y- -

A: The given equation of the parabola is: x2-2x-6y-5=0⇒6y=x2-2x-5⇒6y=(x2-2x+1)-6⇒6y=(x+1)2-6 ⇒6y+6=(x+1...

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A: In this question we have to find whether the given sequence is converges or diverges.

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A: Given equation is  x-x02+y-y02+z-z02=r2 When r=0, given equation turns into x-x02+y-y02+z-z02=0 As s...

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A: In this question we have to find the values of Critical nos. and absolute value of max and min.

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Q: The graph of Y = = Vx is given below: 5- 4 -5 -4 -3 -2 -1 1 2 3 4 5 3.

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Q: CALO2- INTEGRAL CALULUS INTEGRALS OF TRIGOMOMETRIC FUNCTI ONS HTE GRATE Hも FO110WIN の 5) (xcot (10x?...

A: A detailed solution is given below

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Q: (a) Find an equation of the tangent plane to the surface of z = ye(3ry-y²) at (-1, –3, –3). (b) Give...

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Q: (x- h)?, (y-k)² Which of the following is true about ellipse with equation in standard form 1, a>b? ...

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Q: 5n-3 Find the sum of the series: n!

A: The given series is sum of x5n-3/n! ,n from 0 to infinity.

Q: lim) X+7 9 lim (2th) 2_2? h-70 lim coS X X-70 lim 4-x2 X-> 2 3-TxZ+5

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A: Graph

Q: Given: sin a = and cos x = - 13; evaluate the following expression. (A: Quadrant I, x : Quadrant II....

A: We have,  cosx = -1213 Formula Used:  cos2x = 2cos2x-1 To evaluate: The value of cos2x

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Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A: Given,            y'=ey-x , y0=0To find : the solution to the initial-value problem.

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Q: 12. The sum of two numbers is 40. Find the numbers if the sum of their squares is a minimum.

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Q: Use separation of variables to find the general implicit solution to the differential equation. 9  d...

A: Given:       9 dydx=eysin2θysecθ

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Q: Given f (x)= (x^2) (e^-x) , find the relative maximum and relative minimum point respectively.

A: We will use derivative to find maximum and minimum value for the function. If f(x) is a function. Th...

Q: 2w - kW , find k. Let W =cos(5x) cosh(3y) sinh(4z) . If dx2 + + dy2 dz2 Note : If your answer is -16...

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Q: Section 3.3 p. 296/298 # 142 Integrate using the method of trigonometric substitution. Express the f...

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A: We have to find the focci of an ellipse 

Q: A frictionless highway Turn has a constant curvature 1.96 x10 -2 m-1 is banked at an angle 0 = tan-1...

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

Q: use implicit differentiation to find ay for x°-xy+y°=4.

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