Part 3 of 5 f(-2) = Part 4 of 5 f(0) = 0 Part 5 of 5 f(4) = 0 X X X S S S

Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How…

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Q: lim (√n²+ n-n)

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Q: g. h. √(x² [x³e³dx x² - 2x + 1)e2x dx

A: The given integrals are;  g) (x2-2x+1)e2x h) x3ex.

Q: 3 Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain…

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Q: f(x) = 6x3 - 9x + 4 +4

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Q: 50 40- 30 20 10- 10 20 30 40 50 60 Cassidy is a lifeguard and spots a drowning child 60 meters along…

A: Given the location of child is 60 meters along the shore line and 50 meters from the shore. The…

Q: 63. ei (x) gouloeteluoisey aut Ho The graph of g consists of a semicircle and two line segments for…

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Q: Minimizing surface area. Open Air Waste Management is designing a rectangular construction dumpster…

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Q: 1. Evaluate the iterated integrals. In 3 In 2 (a) f f e** dydx S S 00 (b) ff X 00 (xy+1) dydx (c)…

A: This question is related to double integration, we will solve it using given information.

Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: Determine the angle between the following two planes: 4x - 3y2z - 2 = 0 3x + 2y + 5z-5=0

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Q: cost to buy tickets online for the dance show Riverdance is $0 per Write a function that represents…

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Q: What is the equivalent limit of Riemann Sum expression of the definite integral So (4-²-x) dx?…

A: Given that,

Q: E. Find an equation of the plane passing through the point (6, 3, 5) and containing the line of…

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Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =

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Q: (i) Determine if the following functions are even, odd, or neither. Show your algebraic…

A: A function f(x) said to be  odd function if f(-x)=-f(x). even function if f(-x)=f(x). any odd…

Q: Consider an object moving along a line with the following velocity and initial position. Assume time…

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Q: 67. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x =…

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Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

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Q: k. [₂ x cos³ 2x sin 2x dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Explain why l'Hôpital's rule does not apply. If the limit exists, find it by other means. Use - ∞…

A: Here we have to choose the correct option.

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given:  f(x)=12x3−63x2−72x+6 To find the critical point evaluate f'x=0

Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

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Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

Q: Evaluate the given function for f(x) = x² +1 and g(x) = x -4. f(0) = a) (0) = 9 (0) b) 4xg (-3)= c)…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly…

Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: Find the following limits for the piecewise function: f(x) = { x + 1, +5, a) lim f(x) - x-3 b) lim…

A: (a) Given that, the function is fx=x+1                x≤2x+5          2< x≤4. Obtain the value of…

Q: Let f(x) = xe ⁹x. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Explain…

A: To find out the values of x for which the slope of curve is 0.

Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

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Q: What is the area beneath the curve y=x2 +1 and above the x-axis from x = 0 to x = 4 by using the…

A: Here we have to use Riemann right end sum

Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

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Q: 32. a) Determine the vector equation of the line of intersection of these 2 plane (1) x + 2y + 2z =…

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Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

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Q: 4 6. √√√√x³ = x²(3x² – 2x) dx -

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Q: Find the solution of the initial value problem. y” +36y = 0, y(T) = 6, y¹ (7) = == Sketch the graph…

A: To find out the solution of the differential equation.

Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: The region bounded by the curve y=4-x^2 and the line y=x+2 is revolved about the x-axis. Determine…

A: The region bounded by the curve y=4-x^2 and the line y=x+2 is revolved about the x-axis. Determine…

Q: f(x) below, what is the open interval(s) over which f'(x) is negative? 6 5 4 3 2 1 1 -2 -6-5-4-3-2-1…

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Q: buty What are all values of x for which the function f defined by f(x) = (x² - 3)e-* is increasing?…

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Q: C. (Differential Equations with Homogenous Coefficients) Find the general (or particular) solution…

A: The given differential equations are;  1)(6x2-7y2)dx-14xydy=0 2)(x+ey/x)dx-xey/xdy=0 , y(1)=0.

Q: 2. Solve the following differential equations using variation of parameters: (i) y" + 4y = 4 tan 2x,…

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Q: Find the following limit or state that it does not exist. lim X-2 V x-2 2x+5-3

A: Solution of given question is written in below steps.

Q: 49. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan use the…

A: Answer to the question number 49 is given below.     We want to find the maximum area.

Q: Q4 Mode df Jx X= 26 How? -0.90623 sin(1-13x)=0 ㅗ 20.5772 V3

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Q: <Notes Let R be the region bounded by y=1/x, x=1, and the x axis on [1, infinity] and let S be the…

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Q: Nedian Sf = = = -0-1 a So 0.9062 Cos (1-√3x) dx = 1/2 How? a=0.5968

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Q: Find the inflation rate from 2006 to 2007. Assume that all prices have risen at the same rate as the…

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