Show that f(x,y) = 1-x* - y* has a relative maximum, even though D in the theorem is 0. The critical point is at

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A: Given β = 10 log10II0           Where I0 = 10-12from βI = I010β10  

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Q: pany manufacturing calculators, the cost, revenue, and profit equations are given by C = 90,000 + 30...

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Q: Determine which of the following Differential Equations below would use the following general form f...

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Q: The definite integral (-+) dx when evaluated is equal to - 11 Find the value of a." 12 3Vx. a

A: Given ∫49-xa+13xdx = -1112we know that∫xn dx = xn+1n+1 + C

Q: 13. To evaluate S - 3cos²x=1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+ csc²x)dx b...

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Q: View Policies Current Attempt in Progress If you are outdoors, the wind may make it feel a lot colde...

A: The given data is: Wv=48.17-27.2v0.16     .....(1)

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Q: 5dx 5. If f 4 8 +1 = 2-, what is the value of b? a.) 2 b.) 4 c.) 8 d.) 9

A: We have to find the value of b

Q: Find an equation of the tangent plane at P = ( 2, 3, to the given surface. 8x? + z?e"-* = 41 (Expres...

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Q: (1) (-256) Place all answers in the following blank, separated by commas:

A: The given data is: -25614

Q: Find Homogeneous DE y'-ay=0

A: Given that: y'-ay=0

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Q: Select the function that would represent g.

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Q: A weight-loss counselor has prepared a program of diet and exercise for a client that gives the foll...

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Q: In this calculus problem use the information in the graph thts ona separate attachment. a) whats...

A: Inverse function theorem(f-1)'(x)=1f'(f-1(x)) whenever f'(f-1(x))≠0

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a func...

A: Given:         r=cos5θ

Q: You have been asked to build a ramp for Dan's Daredevil Motorcycle Jump. Base of the ramp is to have...

A: Base of the ramp is to have width x=100 feet and angle of inclination θ=10 degrees.

Q: 5. Determine the equation of the curve whose tangent line at any point (x, y) is e* – sinx and passe...

A: We need to find equation of curve.

Q: 13. S S(x)dx = 5, f(x)dx = 2, and f f(x) dx = -1, find f(x)dx. If %3D а. —2 b. 2 С. —3 d. 3

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Q: d (x- 7)4 81. dx 3 2x

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Q: 5. If f cb 5dx + 4 V8x? . = 2, what is the value of b? a.) 2 b.) 4 c.) 8 d.) 9

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Q: (1+2 In æ)4 6.

A: topic - indefinite integral

Q: Find the domain and range of the function. Use interval notation to write your result. f(x) =    4x ...

A: Given:    fx= 4x-5

Q: -b 5dx If f = 2, what is the value of b? А.) 2 В.) 4 С.) 8 D.)

A: Given:       ∫1b 54 8x23dx +1 = 2 78

Q: How is the angle of a right-triangle changing as the adjacent side is changing? de Assume that the s...

A: Given, Adjacent=x Opposite= 20 Angel= θ

Q: Question 15 Determine the equation of the curve whose tangent line at any point (x.y) is e* – sin x ...

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Q: Find the indicated angle ?. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assu...

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Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

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Q: Find the area of the region that lies inside the first curve and outside the second curve Note: show...

A: The given curves are: r=2+sinθ         and        r=3sinθ

Q: Let X be the set {5, –6, 2}. For the first three parts of this problem you are asked to define a fun...

A: Consider the set 5,-6,2. The function is f:X→X and the relation is u~w⇔w=fu.   a) The relation is re...

Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

A: When a object is shot upward (vertically) , its obtained height is given by                   H = (u...

Q: Find the exact length of the curve around the area of the region given in the problem Note: show eve...

A: Given:      r = √θ Here θ goes 0 to 2π

Q: Given the linear system x1 - x2+ x3 + x4 =5 - 2x3 + 4.x4 = 3 2x1 - x2 - a3 + 4x4 =7 a) Write its aug...

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Q: What should be the rewrite of the integrand ofSAS dx so that the resulting integral is integrable? (...

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Q: (sin x – 1) dx + (cos x + 1) dх %— 0. D.) - (1+) А.) —89 C.)- 1 В.) —91

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Q: 16 y 18 E F16 10 -10 -5 1 -18 -16

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Q: The limit represents a derivative f' (a). Determine f (x) and a. 6h lim h 1 h-0 (Express numbers in ...

A: find fx and alimh→06h-1h

Q: ssume you are given the surface S with equation æ² + + = 1. = 1. 9

A: We can use distance formula to solve the problem

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. ... 32 А.) В.) 18 s.u. s.u. C.) 36 s...

A: Topic = Area Area = 36 s.u.

Q: (a) Show that if (a,342) = 171 and (b, 342) = 171 then (a+b,342) = 342. %3D %3D (b) Show that if (a,...

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Q: + 4 y' - 12y = 4x3 d the Solutions to its Characteristic Equation aracteristic Solutions: R, = -6 an...

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Q: 7= - + Cle2x general solution to the DE y"=2y+x Find C1 with the given condition y (1) =1/4

A: Given DE is y''=2y+xand the general solution is yx=-x3-14+C1e2xand given condition is y1=14find C1

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A: we can solve this question with the help of integral  we took an element  of thickness dy in the con...

Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

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Q: In Problems 35-40, find f' (x) and the equation of the line tangent to the graph of f at the indicat...

A: Given query is to find the equation of tangent line.

Q: d(tan (1)) d(tan x) – 2 for x="% and y = 1. Find the dx using the rule we tan x, dx arned in class f...

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Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

A: