(y+ /x²ty? )dx- X dy = 0

Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

A: Basic application of derivative problem

Q: 5. DETAILS LARAPCALC10 2.3.028. Find the marginal profit for producing x units. (The profit is measu...

A: The objective is to find marginal profit for producing x units .

Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = ecos x

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Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

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Q: (2x -y+2)dy + (x-2y +4)dx =D0

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: We will evaluate this integral as shown below

Q: Odr + (2r +1- Or) d0 = 0

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Q: 2. Verify that the infinite series converges 00 п a) E (:)" 6 n=0 00 n b) Σ-0. 6" n=0

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Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where ai...

Q: S(2y + 3)?/ y+ 2 dy

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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.

Q: Use a sum or different formula to find the exact value of cos285

A: sum formula cos(A+B)=cosAcosB-sinAsinBnow285=270+15A=270, B=15and we know that sin15=6-24 

Q: Apple iCloud Yahoo Bing Google Home Wikipedia Facebook The Weather Channel Yelp TripAdvisor https://...

A: Given query is to find the value of the integral.

Q: Español Translate each graph as specified below. (a) The graph of y =x is shown. Translate it to get...

A:

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: Given ∫1xx6+1 dx Substitute u =  x6 + 1→dudx=3x5x6+1→dx=x6+13x5 du =13∫1u2-1 du Now solving ∫1u2-1 d...

Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

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Q: 5. fx6Vex' dx

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Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in. s...

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Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Use the General Power Rule to find the derivative of the function. g(x) = V7- Sx

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Q: What is a singular solution? Give an example.

A: Singular solution of the differential equation is the solution which can not be obtained from the ge...

Q: DETAILS LARAPCALC10 2.6.008.EP. Consider the following. 8. g(t) = %3D Find the first derivative of t...

A: Derivatives

Q: Use the difference an+1 - an to show that the sequence {n – 9"t0 Sn=1 is strictly increasing or stri...

A: Topic   Function decreasing and increasing  Given function is strictly decreasing.     

Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: 5. (2xye*³y + y²e*y² + 1)dx + (x²e*²y + 2xye*y² – 2y)dy = 0

A: Recall: If the equation Mdx+Ndy =0 is exact i.e,∂M∂y=∂N∂x , then the solution is                 ∫y ...

Q: di x-x(t)defined implicik ly by 62X6 12+62VXIn(t)-eE. Also evaluate dx (tx)s(4,4).

A: Given: -x=x(t)  defined implicitly by The equation is, 62+62xln(t)=e62xt To find: - The differentiat...

Q: 3 tan x cos x cot x = _______

A:

Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

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Q: Find the maximum of f(x, y) = 4y + 7xy – 4x on the square domain 0 < x < 8, 0 < y < 8. (Give an exac...

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Q: 3. Given r(t) et sin t i + e' cos tj + v2e'k, a) find the arc length function for the curve measured...

A:

Q: Write the first five terms of the sequence: 13 ln n n n=1 Determine whether the sequence converges, ...

A: Given

Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), - π/27<x< π/27 y y 3 3- ...

A: Here, to sketch the region bounded by the curves y=tan (9x) &amp; y=2sin(9x), -π27≤x≤π27

Q: In November 2021, the stock price for an Apple Inc has increased from $131 to $148 per share and Ama...

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Q: I cot2 r dx

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Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: mine where the function is concave upward and where it is concave downward. (Enter your answers usin...

A: Given query is to find when function is concave up and when concave down.  

Q: Given the function f"(x) = (x – 4)²(x + 7)³ (x + 3), what conclusion can be drawn directly from the ...

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Q: 3 (x³-4x)dx

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Q: 7. SV103% dx

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Q: Plot the graph: y=- cot(x) ; [-x<x < ]

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Q: dt 4e-t – et

A: I =∫dt4e-t - etI =∫et dt4 - e2 tet = uet dt = duI = ∫ du4 - u2

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: 1. Complete the following tables of values to investigate lim(x´ – 2x+4). f(x) f(x) 1.6 0.5 1.35 0.7...

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

Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower s...

A: Let's find. 

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

A:

Q: [3 1 B = [4 3 1] [1 21 and C = 3 4 Compute ABC if A = 11

A: Given:- A=12-13 , B=312431 ,C=123410 To find:- ABC