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Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: [tan*dog a) * dx x) x(1+log?: tan (log x) 8. 2

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Q: (vz-i, »). a Let 7(t) = (/2-i -1+e' In(t + 1) (i) The domain of 7 is [a] (input a number from below)...

A: The domain of a vector function is the set of all t for which all the components of vector are defin...

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2= (a+b)(a...

Q: Using the graph of g(x) below, answer the following questions. 1.0 E4 a) Where is g(x) > 0 ? (Enter ...

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Q: 4

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Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

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Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)). Uploa...

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Q: A' + BT

A: Given: A=11134-6424848-56526117B=3-4858122646742638 To Find: A-1+BT

Q: 22. n/2 sec (t/2) dt 24. | (tan?x + tan*x) dx

A: using the properties of integral we find the given integral 

Q: (x-y)dx+(x-y+2)dy=0,Solve For Homogeneous DE

A: Given differential equation is (x-y)dx+(x-y+2)dy=0 Solve homogeneous DE

Q: Question Evaluate the following limit using L'Hospital's rule. lim (x+ 6) In ( (æ + 6)² ) z-6+ Provi...

A: if the limx→af(x)g(x) is of the form ∞∞ then by L'Hospital rule the limit is equivalent to limx→af(x...

Q: Evaluate the following limit using L'Hospital's rule. :- e13z lim 5x2 – 11x + 8

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Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

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Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: 3. 2. 13) tan -1 3. V3 15) sin- 17) tan-1 1. 19) sin--

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Q: If f(x) = In( 3 + e4x ), find f '(0). f '(0) =

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Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) = (Ty...

A: Inverse function

Q: Find the integral. e4X cos 3x dx + C

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Q: dy +Ydy=e'

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Q: valuate the integral below along the path C. (Give your answer correct to 2 decimal places.) | (2r –...

A: The detailed solution is given below Thank you  The final answer is -101.48

Q: There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been...

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Q: (14) dx + xydy

A: Given

Q: Find the equations of the line through (2,0, –4) and parallel to each of the planes x + y – z = 0 an...

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Q: Question 1 Find the limit. lim,-0(1 + 6x )' where r = 9/x. Write the exact answer. Upload your work ...

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Q: Find the derivative of f (x) = (4x + 1)(5² + ®/æ ). Upload your work in the next question. The deriv...

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Q: - (2* – 10) " da = +C

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Q: . What is the area of the region in the first quadrant bounded on the left by the graph of x = yVy* ...

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Q: How do you find the assign units for constant of proportionality? For example the allometric relatio...

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Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

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Q: 2-28 Determine whether the series is absolutely convergent. conditionally convergent, or divergent. ...

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

Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

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Q: 21 - v oX

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Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D U...

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Q: dP 16. dt 11-18 Find the solution of the differential equation that satisfies |Pt, P(1) = 2 7.3: 16 ...

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Q: know what the derivative of e^(g(x)) is and what the derivative of In(g(x)) is. I.e. the chain rule ...

A: From chain rule  If g(x) is a differentiable function, then the derivative of eg(x) is g'(x)*eg(x) ....

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

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Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 s- 5 20 1 2. s+3 5s -3 6s-5 3...

A: Given : 1)  L-1{2s-1s+9+4s-5}2) L-1{20s+3+15s-3+7s6}   NOTE: Since you have asked multiple questions...

Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

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Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)...

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Q: if f(x)=4x^2+7x+6, find the equation of the line tangent at x=-2

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Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: 3. For the given function below, find 2x* - 3x3 - 21x? — 2х+ 24 y : 2x* -7x3 —11х? +22х +24 E. Infin...

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Q: 3. feVin e+2ln² e +ln€ de

A: The given integral is: I=∫θ-1ln3θ+2ln2θ+lnθ dθ

Q: The curve C is the portion of the graph of y = 16* for 0 <z < 2 (distances measured in m). The curve...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A:  A sequence an is convergent if it has a unique and finite limit "a".And we say that the sequence is...

Q: Write out the first five terms of the sequence (-1)" n-1 determine whether the n2 n=1 sequence conve...

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Q: Determine the Convergence Interval of the following series! (x – 3)" n² n=1

A: