Because of heavy rainfall, the water level in a reservoir is rising at a rate of g(t) feet per hour, where t = 0 corresponds to noon. What does g(t) dt represent?

Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: 2xyy'=1+y; whent = 2, y = 3 Ans. y = 5x-1

A:

Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area (...

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Q: (14) = (x – y + 5)? dx dy %3D dy (15) (x² – y²)" – xy = 0 dx dy (16) 2xy = x² + 2y² %3D dx

A:

Q: 3. The surface of an island is defined by the function z = e-(x<+y²)/8 – e-2 over the region on whic...

A:

Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b) ...

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

Q: The sum of squares of two consecutive odd numbers is 130. Find the sum of the numbers. Let: x = 1st ...

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Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

A:

Q: 3. Find the arc length of y = 3x3/2 on the interval 1<x< 3 %3D

A:

Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the ...

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the ...

Q: Find the area bounded by the x- axis and the graph of the function f (x) = 4x² + 8x +1,0 <x 3. (4 II...

A:

Q: (-) (4) Let an = sin for n EN = {1, 2, 3, ..}. sin-1 n+1 (a) Determine if the sequence {an}=1 conver...

A: Given problem:-

Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

A:

Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: A particle moves along an s-axis with the acceleration function 15 a(t) = Vt + 6t - 4 Moreover, its ...

A: The acceleration function of a particle,at=154t+6t

Q: 2. Use the Integral Test to determine if the series 1 (n+ 2)/4 n=1 converges or diverges.

A: Given problem:-

Q: 6) yo Do° (7C +2)"

A:

Q: Let f (x) = ax- 5/12 + 4x2. Find the value of a if f' (1) = 26. %3D

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Q: Question 1 2dy Evaluate the integral Зу — 4

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Q: using seperation of variable method, solve dy/dx=x3y2

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: Find your answer below 

Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

A:

Q: xtra questions: Find the Derivative of 8 1. y = 10 vx ++ x2 2. y = ta n(si n x) 3. у %3D cot?3x

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Q: c) : Evaluate the integral xp- x2-4x-5

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Q: +oo 2" Use an appropriate test to determine if the series converges or diverges. n+en n=1

A: We will use Ratio Test for the given series.

Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

A:

Q: cos2x – sin2x cos2x For -dr =-F(x)+ C• What is F(x)? cosx - sinx A sinx – cosx) - B 2 sinx + -cos'x+...

A:

Q: 2x + 3 dx

A:

Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20) x...

A:

Q: What is the particular solution to the differential equation = (x³ – 1)(2 – y) dx with the initial c...

A:

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: The population of treated mosquitoes comes in thousands, in a tropical rain forest at time m, in mon...

A: Given: For (A), Sketch:

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j.

A:

Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Given problem:- Use the First Derivative Test to find relative (local) maximum points or minimum poi...

Q: y'dx +e* dy = 0 e* +y =c Ans.

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Q: Evaluate the integral .8 xV x+1 dx

A:

Q: Evaluate the following indefinite integrals: J+c. 1 dx 3D (x + 3)(x + 5)

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Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

Q: Solve the inequality. x-3 x+1 >0 O (-00, -1) (-00, -1) or (3, o) O(-1, 3) O (3, )

A:

Q: To evaluate the integral xp Jx²+5x+6 S we use the partial fraction decomposition of the integrand. S...

A: Find your answer below 

Q: dx -In[F(x)]+ C. What is F( 3) if c = 0? For (x+x³)(x Tan-!x + 1)

A:

Q: Exercise 1 Determine the relative extrema of f. (a) f(x, y) = 18x² – 32y² – 36x – 128y – 110

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

A:

Q: 3 sin (x) 4- V1-x2

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A:

Q: Determine whether the series converges.

A: Since there are two different questions. According to Bartleby's guidelines we can solve only 1 ques...

Q: Find the open intervals on which the function f(x) = ax? + bx + C, a0, is increasing and decreasing....

A: f(x)=ax2+bx+cf'(x)=2ax+bcritical point:f'(x)=02ax+b=0x=-b2aFor a&gt;0,f is increasing on (-b2a, ∞)be...

Q: 8969 2. find 121 detA)? OY

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...