Given: cosa = and a is located in the fourth quadrant; find sine 4/5 -3/5 -4/5

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3 ...

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Q: Using Integrating factors found by inspection (2y-3x)dx + xdy = 0

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Q: 4. Зх — у 3D 2 х + 2у 3 10 x = 2, y = 4

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Q: sin e, sine cose cose 1 tan 2 0 O2 cot 0 2 tan 0

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Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x Let g= cos x, and h= tan x. ...

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Q: point in a wire up to time t (measured in seconds) is given by Q(t) = t3- 4t2 + 6t + 5. [The unit of...

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Q: Show that each function is continuous at the point indicated. 1. f(x) = 3x? – 4x + 2 at x = 2 2. f(x...

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Q: Prove or disprove formally and precisely that the product of two consecutive integers is always cven...

A: We have to prove that product of 2 consecutive integer is always a even number.

Q: 3.44 Given that F= x'ya, – ya,, find (a) $¸F·d1, where L is shown in Figure 3.30. (b) Ss(V × F) · dS...

A: The given problem is solved below in detail.

Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x Let g= cos x, and h= tan x. ...

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Q: Use the differencean+1 – an to show that the given sequence {a, } is strictly increasing or strictly...

A: Difference = an+1 - an= (n+1)9(n+1)-8 - n9n -8=(n+1) 9n+9-8-n9n-8=n+19n+1-n9n-8=(9n-8)(n+1)-n(9n+1)(...

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t- 9t me...

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Q: xy+yz b) lim (xy2)-(0.0.0) x+y2+2

A: To find the limit: L=lim(x,y,z)→(0,0,0)xy+yzx2+y2+z2

Q: 2x+6)dx x²+2x+5

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: 5. V3cotx + 2 = 3

A: Explanation of the answer is as follows

Q: 12. Let F(x, y) = esinx+cosy(cos x ,– sin y) and C = {(x, y): x² + y² 0. Show that F- dR = 0 Hint: ...

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Q: Let X be a continuous random variable whose probability density function is given by the formula if ...

A: P(4≤x≤7) =∫4 7 p(x) dx                  =∫46x27 dx  +∫6723-2x27 dx

Q: 3. a) Use the trapezium rule with five ordinates to find an approximate value for S dx, giving your ...

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Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

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Q: 2.2 If fe R(a) on [a, b] and if Saf da prove that a must be constant on [a, b]. = 0 for every f whic...

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Q: A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall buil- After t seco...

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Q: Question Find the derivative of f (x) = log, (5x³ – 3x2 – 6) at the point x = 3. - Enter an exact an...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = E Σ ...

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Q: Determine whether the alternating series converges. 2(- 1)*+1 k+ 1 2k + 1 k=1 O The series diverges....

A: Alternating series test: Suppose that we have a series ∑ an and either  an=(-1)nbn  or an=(-1)n+1bn ...

Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

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Q: For the curve 16x° = y?(12 – x) complete the following. a. Find equations of all lines tangent to th...

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Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a h...

A: Angle of elevation

Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2 ...

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Q: For Problems 27-30, sketch a possible graph of y = f(r), using the given information about the deriv...

A: Note that y'>0 then y is increasing and y'<0 then y is decreasing and y''>0 then y is conca...

Q: Current Attempt in Progress 1, determine whether the sequence converges, and if so find its limit. F...

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Q: D. Eliminate the arbitrary constant C. 6. y=C,e6+3C,e*

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Q: Identify the u, du, the form of the integral

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Q: Find the Surface grea ef a parabolic Satellite dish that formed by rotating the curue y=4x around th...

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Q: X-2 if x s0 2. Draw a sketch of the graph of the function f(x) = - and evaluate the following limits...

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Q: Evaluate the slope of the function: a. f(x) =x^2 + x - 2                              at x = -1.5 b...

A: Here we have to find the slope of the given different functions.  

Q: Given: sin oa= and sin 8= , 0 < a < and 0 < B< Find cos(a - B): 33/65 63/65 14/65

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Q: %24 %23 - and r = 0. =D0. Find the area of the region enclosed by y = 5e*, y = 6e¯² and x = 0. 5- 4....

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t3 9t me...

A: The posotion of a hummingbird flying along a straight line in t seconds is given by st=2t3-9ta. Velo...

Q: Consider the following sequence: +00 {a, } = {n – n² },, Use an+1 – a, to show that the given sequen...

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Q: If s(t) = 2t-3t - 12t + 5, represent the the time intervals when the object is slowing down or speed...

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Q: 39. Find the value of a so that the function f(x)= xe" h = Te has a critical point at x = 3.

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Q: x? — х -2 lim 2 x +3x + 2 X→-1 X

A: First we factories then take limit. 

Q: Evaluate the Integral dx 4. S V1-e-2x

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Q: Solve the system of simultaneous equations using Gauss-Jordan method 20x1 - 9x2 + 15x3 = 354 - - 9x1...

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Q: 3 lim

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Q: Find the derivative of the following functions using the increment method. *b. f(x) = 6 - Зх 1 *а. f...

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Q: If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then ...

A:  Given:         V=45001-150t2 0≤t≤50     the rate at which water is draining is given by      dVdt=d...

Q: Assume the following: lim f(r) = 3 lim g(x) = = 12, and lim h(x) = -3. %3D Compute the following lim...

A: The given limits,limx→cf(x)=34, limx→cg(x)=12 and limx→ch(x)=-3