8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that lim х+5 (х-7)(х-1) Font

Q: Test whether the differential equations are exact and solve those that are. I- y = %3D 2yt+1 -2xy…

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A: Given

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A: The given problem is solved below in detail.

Q: A slope field is shown for which of the following differential equations? 5 y -2 -1 = ex dx O dy dx…

A: Solution: Given data, According to the given options generate the slope filed .

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A: Evaluating the limit with the help of standard limits.

Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

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Q: 8. If x* - 48x +1=0then, a. Provethat x - 5/2x+1=0 1 b. Find the valueof x- c. Showthat x 23030/23

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: SOLUTION: As per given data, f(x)=3 ;[a,x]=[1,x] We know that, if we integrate function between…

Q: the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

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Q: 6. Evaluate each expression. a) 16-'x 25 b) (-27)5 c) 160.75

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Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: た8e Ge whe'eh ー2x es ytural exponentioel frenebon / show all staps]

A: LetI=∫ 6e3x-8e-2xdxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 6e3xdx-∫ 8e-2xdxTake constant…

Q: A population of 45 foxes in a wildlife preserve quadruples in size every 15 years. The function…

A: We have to calculate  value of y

Q: -3 dx 2 x2+1 In|2| Option 1 Option 2 In|2| 2 In|2| Option 3 Option 4 112 312 112

A: A detailed solution is given below.

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A: We will solve the integration.

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: (zx" xy') dx-3xy dy 2-

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L 8 OProve that lim…

A: Substitute x= 5 in the function and find the limit

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y? + x – 4y = 5; y-axis %3D

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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Q: A power representation of the function f(x) = for-1 < x <1 is 1-x Select one: 9n 9n 9n O none of…

A: The given function f(x)=11-x9 for -1&lt;x&lt;1

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Q: Inx 1 13. lim,

A: We will find the limit.

Q: 2. The equation of the horizontal asymptote of the exponential function f(x)=7(0.5*4)–-1 is: A) y =…

A: The equation of the horizontal asymptotes of exponential equation f(x)= 7(0.5x-4)-1

Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: CHECK YOUR PROGRESS 2 Define a relation C from R to R as follows: For any (x, y) e Rx R, (x, y) E C…

A: Concept: Domain and range : The domain of the relation is the set that contains all the initial…

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Q: Use substitution to find the indefinite integral. 6 10(1

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Q: XP -2X

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A: We will solve the integration.

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Q: Find the directional derivative of the function f(z, y) = In(z° + y*) at the point (3, – 1) in the…

A: We can solve this as follows:

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Q: lim, (e² – 1)cosx COSX

A: To evaluate the given limit.

Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1

A: The given series,     ∑k=1∞1k+2k+3

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Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. 1. 2…

A: We use the formula of coshx and sinhx to simplify the given expression.

Q: Evaluate the integral: he+1 S ) dt t+1. *Input answer as decimal. Round- off to 2 decimal places.

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Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: f f(X) = sin 2x then f(X) = CoS (2x) f f(X) = sin 3x then f(X) = -3 cos (3x f f(x) = 2 cos x then…

A: a. Given f(x)=sin2x   Then f'(x)= 2 cos2x    B.   F(x) = sin3x       F'(x)= 3 cos3x

Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: The detailed solution is given below Thank you

Q: If f(z, y) = e" sin(4y) then: V f( – 1, 1) =

A: Given function is f(x, y) =e4xsin4y.  We have to find ∇f(1, -1 ). The vector differential operator ∇…

Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove…

A: see below the answer and explanation