Find the indefinite integral. Hint: Let v = eu + 6u. (Use C for the constant of integration. Remember to use absolute values where appropriate.) e-u-6 du

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A: From the previous parts:dPdt=0.6075P1-P280

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A: The part of plane x+2y+3z=1 that lies inside the ylinder x2+y2=9

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A: ∫y' dx /(79 – y) ∫dy/(79 – y)

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Q: Consider the following. √ u²³ (2− u²³ + uº) du -3, -3 Simplify the integrand by distributing u to…

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A: let f(x)=3xwe know f'(x)=limh→0f(x+h)-f(x)h

Q: (a) Draw the vectors a 77°F Temps drop -10 -10 (3, 2), b = (3, -1), and c = (7, 1). y 10 r -5 -5 5…

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Q: Find a potential function for F. 3-4x² 2 y F= 8x y -j {(x,y): y>0}

A: The given conservative vector field is:F=8xyi+3-4x2y2j        (x, y): y>0

Q: Find the exact value of the following expression. cos(60° +135°) O-1-√3 2√2 O 1+√3 2√/2 O 1-√3 2√/2…

A: let  H=cos(60°+135°)

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Q: Estimate the area under the curve on the interval [0, 8] by computing the left Riemann sum Lg. L8 =…

A: The graph of given curve is:

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ 00…

A: We have;

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Q: Find f. f(x) = f'(x) = √(3 + 10x), f(1) = 11

A: Given: f'(x)=x(3+10x)f(1)=11 We are required to find: f(x)

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Q: find the derivative.

A: The function is y=tan-1x3.To find : Find the derivative.

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Q: 4- A small ink-blot of area 1 cm and radius r(t) on a piece of absorbent paper spreads in time t sec…

A: A small ink-blot of area 1 cm2 and radius rt on a piece of absorbent paper spreads in time t sec…

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Q: Which of the following is a solution to the given equation? secx - 2 = 0

A: The expression is given as  sec x -2 =0.

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Q: Find a parameterization for a circle of radius 7 with center (-1,-6,-4) in a plane parallel to the…

A: Parameterization for a circle of radius 7 with center (-6,-1,-3) in a plane parallel to the yz…

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A: We need to find equation m(t).

Q: When f has graph a R₁ express the sum I = 25 2f(x) dx - in terms of the areas R₂ √ 5f(x) di A₁ =…

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Q: Answer the following questions for the function f(x)=x√x²+4 defined on the interval -7 ≤ x ≤ 5. f(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The equation y= 2e65 is a particular solution to which of the following differential equations? B D…

A: An equation,

Q: 1¹(tan 11. tan 3TT 4

A: tan-1(tan 3pi/4 ).

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Q: The value of this left endpoint Riemann sum is 323 18 the area of the region enclosed by y = f(x),…

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Q: In each of Problems 1 and 2, transform the given initial value problem into an equivalent problem…

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Q: ing the graph shown a. Find g(1) b. Solve g(x) = 1 C. Find g(1) d. Solve g(x) = 1 -2 -1 g(x) 2 1 -1…

A: Here given that a graph of g(x) and x and we find value of g(1) and other.

Q: Suppose the total cost function for manufacturing a certain product is C(x) = 0.3 (0.02x² + 110)…

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Q: Use spherical coordinates to evaluate the triple integral SSS (x² + y² + z²) dV, where E is the…

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Q: 9. This composite object is formed by a cone with a hemisphere on top. A formula for the volume of…

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Q: At the end of each month, for 36 months, $300 is put into an account paying 7% annual interest…

A: ⇒FV=PMTeit-1ei-1⇒PMT=Periodic investment⇒i=rate per period⇒t=time in years

Q: 34 x-²-2 y=-l y x= X

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Q: 53. 你 dt V5 - 3t²

A: