Show, without reference to right triangles, that arctan x + arccot.x = }r for all real x. HINT: Use the identity cot 0 = tan (7 – 0).

Q: Show that the limit x?ycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: divergente Evahate Determine whether eacn thuse that are integral is Convergent. or Converyent. 2x d...

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Q: 3. Slope of a line fr a) Calculate the slope of the line shown in the table. b) f(x) -3 -12 -2 -5 -1...

A: (a) From given table

Q: If  h(x) =    5 + 4f(x),  where  f(4) = 5 and f '(4) = 2,  find  h'(4).

A: Solution: Consider the function h(x)=5 +4f(x) f(4) = 5 and f '(4) = 2 (Given)  

Q: 6) Complete the list of all important integrals in the table. 1. [ u"du = 2. = np- 3. [ e"du = S e'd...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Reduce the given system to echelon form to find a single solution X1 + 7x2 +3 x3 + 11 x4 = 0 2x1+ 7x...

A: T

Q: E Homework: Homework 5.4 Express as a single logarithm and, if possible, simplify. log a +4 log b lo...

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Q: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of f...

Q: ItcosX

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Q: Consider the following equations. f(x) = Vx + 5 %3D g(x) = x + 5 Sketch the region bounded by the gr...

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Q: Example 2: The position of a particle moving along a coordinate axis is given bys(t) = t° = 9t? + 24...

A: Given that: s(t)=t3-9t2+24t+4, t≥0

Q: Evaluate the double integral // (3r - 7y)dA, where D is the domain bounded inside the tangle with ve...

A:

Q: Show if the differential equation is exac

A: Given that: (2x3-3x2y+y3)dydx=2x3-6x2y+3xy2

Q: 구 -8 -6 -5 -4 -3 4 6 -2 -4 -6 -7 -8- lim f(x) = Enter the limit. If the limit is o, enter oo. If the...

A: We have to find limit.  

Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: In Exercises I through 8 use the parallelogram law to form the sum and difference of the given compl...

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Q: (b) If u = x? cos y+ye», where x= s+2t and y = st, prove that ди 2- ди = (s – 21) (x² sin y – xye" –...

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Q: 2. lim 2. lim f(x) = 1 and f(0) = -3 1. lim f(x) = -1 and f(1)DNE x-1

A: 1. limx→1f(x)=-1 and f(1) DNE2. limx→0f(x)=1 and f(0)=-3

Q: A stadium has 55,000 seats. Seats sell for $28 in Section A, $16 in Section B, and $12 in Section C....

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Q: One leg of a right triangle is 7 cm shorter than the other leg. How long should the shorter leg be t...

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Q: h(x) = [square root] 5+4f(x) f(4)=5 f'(4)=2 find h'(4)

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Q: dx (3 + 4x – 4x²)/2

A: NOTE: Refresh your page if you can't see any equations. . add and subtract 1/4 ..................

Q: -3x3 dx V5-x8

A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45

Q: Find the derivative of the function. g(x) = (1 + 4x)8(3 + x – x²)º g'(x) = %D

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: ∑k=1+∞181k2+63k-8f(x)=181x2+63x-8Use integral testlima→∞(∫1a181x2+63x-8dx)lima→∞(∫1a1(9x)2+(2×9×72)x...

Q: Find the General Solution: y" - 3y' + 2y =e*

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Q: Evaluate the following integral: x² (3 + 4x – dx

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Q: cos x 3) 1+ sin x 6) [cosh vdv

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Q: Using the attached graph, sketch the derivative. Graph of polynomial f(x) 2 6. -1 -2 -3 -5 -6

A: See the graph whereg graph is increasing f'(x) will be possitive that means it Will be above from x ...

Q: Find the vectors T and N and the binormal vector B=TXN, for the vector valued function r(t) at the g...

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Q: 1. Y= 3x -x- 2

A: Find your answer below 

Q: Let f(x, y) = 6x – 2ry and the point M(5, 9). Among all unit directions, there is a unit direction (...

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy- 12=0,...

A: Topic = Functions

Q: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the...

A: We can find the required acceleration as below.

Q: es from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected V...

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Q: 6y" + y' - y = 0 is yı =e*³. Use the method of reduction of order to find a second linearly independ...

A: Topic:- Solution of differential equations

Q: Question 4 (а) Evaluate, with the order of integration being reversed, an equivalent integral of the...

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Q: (c) Let f(x.y) = (x²+G))), Determine the directional derivative of f at the point (1,0) in the direc...

A:  f(x,y) = (x2 + (y/2))3 we have to determine the directional derivative of f at the point (1,0) in t...

Q: For real number p, let f and g be defined by f(x) =e3 and g(x) = 1/xP, respectively, on [1,00). f(x)...

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Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

A: Given equation: x2=4y    which has to be revolved about the y-axis.  

Q: x+ 4x2-9x-36 y = 4x2+28х+48

A:

Q: Suppose: sin(x) = -0.1 cos(y) = 0.5 tan(z) = -4.3 Then, sin(-r) =| 0.1 cos(-y) = 0.5 tan(-2) = 4.3 a...

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Q: Write the parabolic equation in standard form and identify the vertex, focus, directrix, and directi...

A: As you have asked multiple questions so I have answered first question as per the guidelines.

Q: (-1)"n For positive integer n, let an = 3n (a) Determine whether the sequence {an} is convergent. 00...

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Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

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Q: e20 do 10. 1+ 3e20

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Q: For real number p, let f and g be defined by f(x) = e- and g(x) = 1/xP, respectively, on [1, 0). f(x...

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Q: Calculate a and b such that v = au + bw if u = , w = and v = .

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Q: 1. f(x) = -|x + 6| + 5 Range: x-int: у-int: Intervals on which f (x) is decreasing: Relative Extrema...

A: f(x) =-x+6 + 5                                      

Q: sinh(2 In(c)) = (A) 를 + (B) c² – (C)를 높 2c 1 2c2 (D) c -! 1 (E) 0

A: Topic = Functions