Question 7 of 10 The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m. Find the work required to pump all the water to the top of 4 m 6 m the vat. Use 9810 N/m as the weight density of water. 3 m NOTE: Enter the exact answer. Work = J

Q: A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall walks away from…

A: Given problem:- A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall…

Q: 1. y = x° + x

A: answer is in next step

Q: Given the following optimization problem: max(500-q)q-50q p*=275 O True O False

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Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…

A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.

Q: 118 118 Suppose that ) ai = 11 and bi = 3. Compute the sum. 118 I (2а — 22b) i=1

A: The given sum,       ∑i=1118ai=11 and ∑i=1118bi=3

Q: 12 x*y dx dy 12 I*y dx dy i

A: topic - double integration

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Q: n equation for the function that is described by the given characteristics. (Use x as the depend A…

A: Follow the procedure given below.

Q: NOTE: Enter the exact answer. dy dx

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Q: s the indefinite integral | x2 cos(x3) dx becomes 1 cos(u) du- must also convert the integral…

A: Given query is to find the integral limits.

Q: QUESTION 2 Assume that the linear cost and revenue models apply. An item costs $2 to make, If fixed…

A: Solution: According to the linear model, R(x) =mx +b Total Cost = $6000 + (2*400) = $14000 Profit =…

Q: Convert the polar equation r sing = 5 in Cartesian equation form. %3D O xy + y? = 5 x = 5 Oy = 5

A: Here we have to convert the polar equation into Cartesian equation.

Q: to scle A and muscle B are attached to a bone as indicated in the figure below. Muscle A exerts a ce…

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Q: Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 --…

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Q: Find the maximal area of a right triangle with hypotenuse of length 2.

A: Given:     Hypotheses length = 1

Q: ニ1 近。 Question 2 D. O E OA 3. (A) 3. 3. (). 32 3. (C) 16. (B) zg (7) The area of the region enclosed…

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Q: 8y2 + 3 dy /6 – 2y

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Q: 15x2 – x3 - 43x - 19 Ax +B C D The integral dx can be rewritten as + dx. (x+1)2(x2-6x+ 13) J ax2+…

A: We need to evaluate integral.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivativ f(x) Vt3 + 2°dt f'(x) =…

A: Given query is to find the derivative.

Q: Problem 1. Which gives the Laplace transforms of the given time-domain function? Let a = %3D 2 O…

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Q: iS dx Evaluate the integral improper integral (2x- 1)3 - 00 1/4

A: we have to find the integral.

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Q: Evaluate the integral. 37/4 3 sec e tan e de -7/4

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Q: At least one of the answers above is NOT correct. Suppose f(x) is continuous on [3, 7] and -2 <…

A: Solved below

Q: F(6)=-7 dad f16)=5 %3D d Jox" - 6x - lo Jx F(x)

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Q: Use series to evaluate lim 4x2 (e -2/x -1). ... lim 4x (e -2/x -1) =D X00 (Simplify your answer.)

A: Limit

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A: We can solve as follows

Q: tan ³x sec4x dx. Use trigonometric group

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Q: Find the area bounded by the lines and curves y = x? - 2 and y = 2

A: Graph:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) + 48 dx

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Q: x2 V1-x2 dx Use trigonometric substitution

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Q: Given the following optimization problem: max(500-q)q-50q q*=50 O True O False

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Q: Evaluate the integral f SRry dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

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Q: /13 3 Find the first four terms of the binomial series for the function (1+ 2x)°. The first term is

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Q: Using integration by parts, which of the following options is true of x arccse x dx ? x dx A rccsc…

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Q: Given the differential equation -7x y" + y' = 6x2 Use Reduction of Order and the letter "R" to…

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Q: Determine the equations of the vertical and horizontal asymptotes of the graph of the function f(x)=…

A: Given functionf(x)=xx-4

Q: H.w dy ーレ dy Xy in

A: Since you have posted multiple questions with sub parts, as per our guidelines , we will answer the…

Q: 3x2+ 7x+28 A f (x) |*+ A x³+x²+7x Using Partial Fractions in evaluating dx, the decomposed fraction…

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Q: 22 - 12x To solve -dx, partial faction is to be employed. What is the most appropriate form of the…

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Q: The total revenue R earned per day (in dollars) from a pet-sitting service is given by R(p)= –…

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Q: Use l'Hôpital's Rule to evaluate lim 4x( cos (2x) - 1) sin (5x) - 5x 4x( cos (2x) - 1) lim sin (5x)…

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