Use implicit differentiation to find the derivative y' of the following: y²+2ye2x у?е2x + хуз — 1%3D0 ans. y' = - 6. 2e2x+3xy 10-еУ 7. хеу + Зу — 10х —D 0 ans. y' хеУ+3

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Q: 3. Evaluate: -x²+2x dx (Hint: let t = (x – 1)²)

A: We know, ∫0∞e-x2dx=π2. ∫2e-x2πdx=erf(x) erf(1)= 0.84(approx)

Q: 4.

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A: Given: limx→5 x+11x-1

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A: To find:-

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Q: 3. Determine the divergence or convergence of the series 00 a) Σ (1.075)" п n=0 4n+1 b) E Зп-1 n=1 c...

A: NOTE: Refresh your page if you can't see any equations. . here the sequence is  compare this serie...

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Q: 16 The expression log can be written in the form z12 A log(x) + Blog(y) + C log(z) where A B = and C...

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Q: Edit Find a formula for the graph shown in the figure in terms of sin x or cos x. 15 5 -10f(x)+ 5 37...

A: Here mid line is y=5. Amplitude is 10 ( graph is above and below the mid line 10 units.)

Q: a. f(x)=eX+_11 1+x2 F(x)= b. r(t)=t(12t+8) R(t)= c. h(m)=2mª+4m3-m m3 where m>0 H(m)= d. s(y)=2Y+4si...

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Q: Evaluate the following integrals: dx x In x 2.S da 1+x 1+x?

A: 1. ∫dxx ln x2. ∫1+x1+x2dx

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Q: 32. Find a linear differential operator (of lowest order) that annihilates the given function: f(r) ...

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A: The acceleration function,a(t)=-2t+7, s(1)=8, v(2)=-3

Q: asider the function f(x) = e" on [0, 2), %3D

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Q: Sx²V1+x dx

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute ...............

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Q: (MULTIPLE CHOICE) Which of the following is(are) differential equation (s) with homogeneous coeffici...

A: To determine which of the following is(are) differential equation(s) with homogeneous coefficients.A...

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A: We can find the answer as below.  

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A: We have to find out 

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A: Given query is to find horizontal and vertical asymptot for the function.

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A: This is a problem of integration. Based on the general formula of integration we will solve the prob...

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Q: Graph the following function. 2x +1 if x4

A: Here, the given function is: f(x)=2x+1 ; if x<0x+1 ; if 0≤x≤42-x4 ; if x>4

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Q: 1. Evaluate the following limits. r+ Vr - 3x a. lim r--0 r - Vr4 + 3x

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Q: If xy + 5e = 5e, find the value of y" at the point where x = 0. y" = Need Help? Watch It Read It

A: xy+5ey= 5e. Find y" at x= 0 

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Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in vol...

A: Note: As there are two different questions in the picture we will solve the first question by defaul...

Q: - 5 sin Find the period of the graph of y = 4 O 87 O 2 01 Submit Question

A: period of function  ASin(B(x+c)) is 2Π/B 

Q: Find the maximum of f(x, y) = 2x + 2y – x²-} - xy on the square, 0 s xs a,0sysa, a = 3. Edge a0 - Bd...

A: In order to find the critical point first we need to partially differentiate with  respect to 'x' an...

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Q: Consider the following function and point. f(x) = x3 + x + 9; (-2, -1) %3D (a) Find an equation of t...

A: We can find the equation of tangent line to the graph as below.

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Q: f(2) Suppose that the limit value of: lim a , what does imply? g() O a. A limit exist. O b. The nume...

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Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu  

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Q: Consider the following function. f(x) = %3D Find its average rate of change over the interval [9, 16...

A: We have to find ∆y∆x , f'(9) and f'(16)  Given f(x)=1x

Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest t...

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