Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+6z=33. Round off only on the final answer expressed in 3 decimal places.

Q: tan -15t sech le tan –15t Evaluate: 1+25t2

A: We have to find the definite integral

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u  and   dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...

Q: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

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Q: Question 4 cose Evaluate the integral: de. V4- sin?e @ sn (ana) -c © -sn* (sin) + c -an (ane) • c No...

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Q: オーe-2r 12+e-2r x²+e-2r -2(x-e2) -dx x-+e de -2y, None

A: The given integral is; (x-e-2x)/(x2+e-2x).

Q: VI. Show that ydx = y dx it must be (a <h<b)if f(x) = 2x, a = 1, h 2 and b %3D = 4 20. f(x)dx is equ...

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Q: -1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 |1 x2 3 (a) Sketch f(x). (b) Discuss the...

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Q: X x²dx 5+ x2

A: Find the integral

Q: The integral csc(0.5) dx is equal to A 2ln|csc(0.5x) – cot(0.5x)| + C ®2ln/tanh(0.5x)| +C (c) 4tan-l...

A: We have to find the integral

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A: Using y-y1 =m(x-x1 )  where m is the slope of given equation.  Therefore there are two tangent lines...

Q: Question 11 ean -15t sech(en-15) t Evaluate: 1+25/2 A -tan-le tan -ISt + C B tan-le tan-15t --tan -l...

A:

Q: The time rate of change of a rabbit population is proportional to P^(3/2) . At time t= 0 days, the p...

A: Please see the below picture for detailed solution. 

Q: In(/5+ x?) +c Match the integral expression on the left with its appropriate value. Prompts Submitte...

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Q: e+y dA ,Where D={(x,y)||x| + lyl < 1}.

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining ques...

Q: In each graph, a parent function has undergone a transformation of the form f(kx). Determine the equ...

A: We need to find the equation of transformed graph red using the graph of parent function green.

Q: A function F (x) is called an antiderivative of a function f (x), if A F(x) =f (x) BF(x)=f (x) OF(x)...

A: Application of derivative and integration

Q: Let u and v be functions of x. Then J (u-v)dx is equal to ux – vx +C dx

A: Topic-:- integration

Q: メT 2. 5+x of

A: The given integral is; 1/(5+x2).

Q: A solution of a differential equation which cannot be generated by specializing the parameters (arbi...

A: To find out the correct option. 

Q: sin³ydy 1+ cosy A 1+ cosy B 1- cosy (c) siny D sin³y (E) None

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Q: Radium decomposes at a rate proportional to the amount present at any instant. If initially there w...

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Q: 8. If the longest side of a right triangle is 5.5ft and the shortest side is 3.3ft, find third side ...

A: Here, the longest side of the right is the hypotenuse whose length is given h=5.5 ft.

Q: sin(t) Find the equation of the tangent line to f(t) = 9 +9 cos(t) at t = 3 (Use symbolic notation a...

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Q: patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 7​% of the dru...

A: Given query is to find the rate of change after 6 hours.

Q: The population of a city is 145000. The city declines continuously by 3% per year. In how many years...

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Q: In order to evaluate the integral expression / In( sin(x) ) dv using simple substitution, dv=f(x)dx_...

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Q: Which of the following indefinite integrals will result to logarithmic expression? 2 A dx (2x+7)2 B ...

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Q: Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: ...

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Q: dx 4+e-* (A) A 4+e-* B D 4e* +1 (E) None

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Q: In-(Ine") dx A Inx 8 In'x © Inr? Ine E) None

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Q: tan - 15i sech(ekan-151) dt Evaluate: T+2512 A 2 tan ,tan -15t +C 5 B -tan -le tun -Ist 5 -151 +C C)...

A: Integration

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Q: 2. A tonk initially contains 1oO gallons of brine whose concentration is 2 lb/gal. Brine whose salt ...

A: Given

Q: x²dx 5 + + x2

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Q: dx In then the integrand is the same as 4+e¬* 4e*+1 (А) True B False

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Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

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Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: cose Evaluate the integral: de. 4- sin?e A None of the given choices -sn(글sne)+c В © sin (ano)-c sin...

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Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...

A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)

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Q: (a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exis...

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Q: Question 11 dx 4+e A 4+e- B) 4e+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin'y

A: NOTE:- AS POSTED MULTIPLE QUESTION, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER BARTLEBY GUI...

Q: E. DIFFERENTIATION Obtain the derivative of the following functions: y = Vx² (2x – a²)

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Q: eV dr S- + 2ev +1 A -2 dr D) None B.

A: To write the equivalent integral. 

Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: We want to find the distance travelled by the kite. 

Q: 1. Evaluate the integral

A:

Q: A function F (x) is called an antiderivative of a function f (x), if F(x)=f (x) B F(x)=f (x) F(x) =f...

A: topic - derivative and integration

Q: (Inºx– 3lnx) +dx A Inx B Inx In'x (D In°x – 3lnx (E) Inºx- 3 (F) None

A:

Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³+81=0 B ® [1+(y")*]³–81=o [1+(y')²]³– ...

A: The general equation of the circle with center (h,k) and radius r is             ( x - h )2 + ( y - ...