Use Hooke's Law to determine the variable force in the spring problem. A force of 450 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 50 centimeters to 80 centimeters? N-cm

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Q: You are familiar with the identity S(b) – f(a) = | f' (x) dx. (a) Assume that f has a continuous sec...

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Q: -3x²-2x+1 ***) dx 5. x+2

A: The given integral is:∫-3x2-2x+1x+2dxWe need to solve the above integral.We will use the method of s...

Q: Write out the First three terms of the Following infinite Series: (-1)^ Sin nt n=1

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Q: 1. Use the graph of the function below to answer the following: -6 -5 -4/-3 -2 1 2 /3 4 $ 6

A: According to grapha. f1 =2b. limx→2+fx=-3c. f2=1d. limx→0fx=-4e. f3=12f. limx→-1.5fx=0g. f4=2h. limx...

Q: Find the following limit value. Show all work and proper limit notation. 7 lim x-5 (x – 5)4

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Q: Use the Comparison Theorem to de x + 1 36 dx Ji O convergent O divergent 8

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Q: EX:- Show that dw Vす 2. の ē" dw fcb)-VEerfa) %3D e dw ei

A: Using error function erf(f) . 

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Q: Hw. Fin ow for the following functions and du cosh (cot( ) 4- ws

A: Given: (1)  w = 4x4+6x3y2+2x2y3+y4   (2) w  = cosh5cotxy

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Q: 3. Determine f(x) = x +x-2 is continuous on the given interval (-0,+0) (show graph and its table of ...

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Q: Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as...

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Q: Identify and sketch a) wーg+ 14z?=4 b) 2 2 | 9 16

A: Let's find. 

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Q: Consider the following function. f(x) = 11x + 1 (a) Find the critical numbers of f. (Enter your answ...

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Q: Solve using horizantal Slide EX Evaluat..f.x.dA.whak.R.a.the.sgen.in.the figt. quadvant.bounded.b..x...

A: ∫∫R f(x,y) dA= ∫∫R f(x,y) dxdy =∫∫R f(x,y) dydx

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Q: A dealer's profit, in units of $1000, on a new automobile is a random variable X having density func...

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Q: • Error and Q Functions 1, Use the definition of error functivn, prove that

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Q: Q.2\ The series E is n(1+ln(n))

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Q: -10: Simplify. 9. (1– cosx)(cscx + cotx)

A: Simplify  (1-cosx)(cosecx+cotx)   

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Q: find the power series represen tation of the following function given be low and determ in e the rad...

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Q: 8. a. Using the vectors = (3, 3, 1) and ỷ = (-1, 2, –3), verify that the following formula is true: ...

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Q: Example 4 Video Example ) х2 +x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (x3 y'...

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

Q: Let D be the region enclosed by y= sin(x),y = cos(r), x 0 and r = = 1. The volume of the solid forme...

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Q: Give three points that are equivalent to the polar point (2, 45°). Write the three points in polar f...

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Q: Write out the First three terms of the following infinite series (-1)" Sin nt n=1

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Q: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, as shown in the follo...

A: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, the equation describi...

Q: Using variable separable technique, find the general solution of dy/dx = (1+y^2)/(1+x^2

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Q: Find the tangent line to the curve y = x^2 −5x + 11 at the point (1, 7). Use the limit definition of...

A: slope of the tangent line is m=dydx at (1,7)   By limit definition of derivativedydx=limh→0f(x+h)-f(...

Q: Hw. Find dw for the following functions and dw we cosh (cot( )

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Q: Question The graph of y =f(x) is shown below (dashed curve). Manipulate the green draggable points t...

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Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4  

Q: Double Dominating Set. The DOUBLE DOMINATING SET Problem is: Given a graph G = (V, E), and a number ...

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Q: Q2-5 what is the simplified expression for ). You may chose following; one answer from the (-1)"-12....

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Q: (i) |10-3x517

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Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 6y + 4z subject to the constra...

A: Here we have f(x,y,z)=5x+6y+4z subject to the constraint x2+6y2+6z2=1 Let g(x,y,z)=x2+6y2+6z2-1

Q: 8. A function f has the form f(x) = a+b ln x. If f(1) = 5 and f (e) = 7, find the values of a and b....

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Q: The function f(x, y) = xª + yª – 4.xy has three critical points, (0,0), (1, 1) and (–1, –1). At the ...

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Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse 25 = 1 (...

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Q: Compute the discriminant B(x, y) of the function. S(x, y) = x' + y* - 6x – 2y² + 1 (Express numbers ...

A: Given function f(x,y)=x3+y4-6x-2y2+1

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A: Given query is to find the the production level required for the profit.

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Q: ind the absolute maximum and minimum values for f (x, y) = 4 sin(x) + 9 cos(y) on the rectangle R de...

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Q: Practice using gamma Provethat: こくご)よて %3D 15th)s(5+h)

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Q: dx 9. 10. (x -

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...