3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

Q: etermine the instantaneous rate of change of the function πt √√x sin (772³) dt : x = 1. x3 1 + √t

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Q: ngles, and

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Q: Find the area of the surface generated by removing about the x-axis the upper half of the ellipse…

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Q: The weekly investment report shows each company's stocks with its high bid, low bid, closing bid…

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Q: quickly

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Q: Use the linear approximation to estimate In (√0.99).

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Q: 10. The sale price of a book after a 25% discount is $40. What was its original price? $46.67 O…

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Q: Evaluate the limit using the L'Hopital's Rule. 1 - cosh x lim x→0+ ln(x² + 1)

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Q: Sketch and set up integrals for volume of the region bounded by y = x^2 + x - 2 and y = 3x + 13…

A: Please see the below pictures for detailed solution.

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: Find the volume of the parallelepiped determined by vectors , and

A: Find the volume of the parallelepiped determined by vectors <3,1,4>, <2,0,2> and…

Q: lim (tanx) (sin x-1) x→ 17/1272 π +

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Q: For which values of n is the function ya solution of the differential equation xy"-Kxy'-6y=0

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Q: Using the Ring or Washer method, what will be the equation of the volume of the solid formed when…

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Q: Problem 7. Find the limit lim f(x), where 2--2 x²-4 2+21 x-2

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Q: A study indicates that the population of a certain town will be growing at the rate of p' (t) = 5 +…

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Q: Evaluate the limit: lim (x - Inx)* x→0+

A: Using limit definition

Q: 2.) Obtain the solution of the following initial value problem! (t-2)x' - x = 2(t - 2)², x(0) = 1.

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Q: A bacteria culture initially contains 1000 bacteria and is growing at the rate of N' (t) = 2tt-2/3…

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Q: ab c Pq r U V W a. det (2B¹) where B = 4u 2a 4v 2b -q 4w 2c <-r 2p -a+u 3u b. det (20¹) where C =…

A: Given problem:-

Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

A: Using sine rule, length of other two side are evaluated.

Q: Find the volume of the sould generated by revolving the area bounded by the _given curves about the…

A: Let's find volume of solid (V) = ?

Q: The Philippine Postal Service will accept a box for domestic shipment only if the sum of its length…

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Q: Electric usage over the course of a day varies. The graph shown is of electricity costs per hour.…

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = 3x - x^3,…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given :y=9-2x0&lt;y&lt;8revolution about y-axis

Q: 3 4-3x S²³ So dx dy

A: To evaluate the given double integral.∫03∫04-3x dx dy

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y-axis,…

A: The region is bounded by y=x^3, y axis  and y=8.And the region is revolved about x=0. We need to…

Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y=x³.

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Q: Perform the integration. (sinh x)(coth x +csch3x) dx +

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Q: Evaluate (2x + 3√/Y) ds where C is given in the accompanying figure. (2x+3√/Y) ds- (Tyne an exact…

A: ds = dxdt2+dydt2 dt

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: S 1 C=S²x + Sin'x

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Q: Evaluate the multiple integral.* 22y [ ✓²)¢ dx dy 10 17.5 16.5 The area hounded by the graphs of y=

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: A real estate firm estimates that the value of a certain property will be given by the function 517…

A: To solve the following problem

Q: A group of management students are creating a business plan for their proposed shoe brand…

A: We have to find the marginal profit when 100 pairs are sold, production level so the average cost…

Q: - 4. Find the area bounded by y = x - x² and y = x(x − 2)(x+2).

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Q: y s 5 4 -2 -2 The diagram shows the shaded region bounded by the curves y = x² + 2, y = 4 - x, y = x…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Find fx (x,y) and f, (x,y). Then find fx (2, -1) and fy(-4,3). f(x,y)= ex+y+5 fx(x,y)=

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2 and y = 2x…

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Q: I. Evaluate the following limits. sinh r2 → r2 1. lim z→0 sinhr 1

A: We will apply DL hospital rule more than once to solve this question.

Q: In a certain country, the number of people who drive electric vehicles can be mod the function P(t)…

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Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Can you solve this and show work clearly, the first part is X to the 3

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Q: Set up the triple integral that will give the following: the volume of R using cylindrical…

A: We have to find

Q: 9. A child is flying a kite with a 45-ft string at an angle of elevation of 50°. Which of the…

A: Let's find altitude of the kite in feet.

Q: 2. I cosh ix dx

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Q: What is the y-coordinate of the centroid of the plane region bounded by y = x^3 and y=x^2? O 2/5 3/5…

A: We can solve this as follows: