5. A tank is full of water. Find the work required to pump the water out of the spout. Water weighs 62.5 lb/ft3³ 12 ft → T 6 ft ↓ 10 ft ft →

Q: Graph the line with slope passing through the point (1, 3). 4 X 5 ?

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Q: Solve for x. log 3(2x-5)=3

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Q: dy B)Solve differential equation dx -(sinx+cosy) y²-x siny

A: Exact differential equation

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A:

Q: For what value of Ⓒ is cotⒸ undefined? 1.0⁰ II. 180° III. 270⁰ Olonly OI and III only OI and II only…

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

Q: Determine the domain and range of the function. 4- 3 2- 1 -4 -3 -2 -1 2 3 Part 1 of 2 -1 -2- -3- 4 4

A: Solve the following

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Q: Q3: Solve the following differential equation by using Variable Separable Method: (y²+1)e cosx y² dy…

A:

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A: As per Bartleby guidelines rule I am answering only question number 9 as both question are different…

Q: 4) Show that and 4x 2 - 4x f(x) = 4x-2 4-4x are eventually fixed points for the function : 0<x<…

A: Given

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Q: etermine whether the function is one-to-one. If it is, find a formula for its inverse. 9 x+2 *** the…

A: We are asked to find inverse of the function when function is one to one.

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Q: Express as a single logarithm and, if possible, simplify. 1 log b +3 log c 2 log b + 3 log c = 2…

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Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: To find the volume formed by the function z=f(x, y) = x²y over the triangular region bounded by the…

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Q: dy 2) x - 2y = x³ cos4x

A:

Q: Q1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ 12x + 3y + 12.

A: Given :- z=x3 -y3 -12x+3y+12 Find:- Maximum, minimum and saddle point of the given surface

Q: : (A) By using the definition of derivative, prove that (answer only one): d d (secx) = = secx tanx…

A: As in question asked to answer only one therefore I am answering only first question.

Q: Solve the given initial value problem. y" + 8y' + 25y=0; y(0)=3, y'(0)=-11

A: Our Aim is to solve the given initial value problem:-y"+8y'+25y=0, y(0)=3 , y'(0)=-11

Q: Q4A) Find area bounded by y = 0, y = √2x-x² using double integration.

A: The required graph is shown.

Q: Question 8 Match equation graph with its parametric equation. Not all equations will be used. All…

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Q: I can't tell which of these goes into the boxes

A: Finding the box values

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Q: Sketch the graph of the floor function f(x) = [x+3] over the interval [-4, 2].

A:

Q: (tanz+cotr)-(tan'r+cos'r)-(sin'z+cot'r) -dz S x Lnx Ln (Lnx) Ln (Ln (Ln(x))) Ln (Ln (Ln (Ln(x)))) Ln…

A: On solving numerator we get equals to 1 and then solve by substitution

Q: c) real numbers 2. Show that the decimals below are rational. a) 0.4 b) 0. 21 c) 0. 14

A: As per the company guidelines We can first three parts of  question . Please understand. Kindly…

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A: This question is based on substitution of values.

Q: An office machine is purchased for ​$6400. Assume that its salvage​ value, V, in​ dollars,…

A: This question is all about finding the salvage value of the office machine after  9 years &amp;…

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Q: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Q2: Find y(2) if D.E as give 2+3y=sin 2x, y(0) = 6 dx Given

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Q: Consider the following. Function Point f(x) = arcsec 5x (a) Find an equation of the tangent line to…

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Q: Use the Chain Rule to find dQ where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z= cost. dt'

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Q: 3/Find the equation for the tangent plane and normal line to the surface Z=9-x² + y² at the point…

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Q: sto

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Q: Use Grammar's rule to solve the system x+y+z = 5 x=y+z=2 2x + y + z = 5

A: Given x+y+z=5, x-y+z=2 2x+y+z=5

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A:

Q: Oe+1 ³ + ³ (₂× + ¹ ) ³ + ³ (₂² + ¹ ) { + (₂x + 1) { O ³ + ¾ ( 2 * + ¹ ) } − z (2* + 1 ) { − 3 (2+¹)…

A: We have integrated above question

Q: What is the exact value of cot(-870°)? 0-√3 0-1 01 O√√3

A: Use Trigonometric properties

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Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power series…

A: Given the expression,∑n=2∞nn-1cnxn-2+∑n=0∞cnxn+2

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A:

Q: Solve the following D.E sin x- + 2y = tan³ dy dx 2

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Q: 4. The profile of the cables of a suspension bridge may be modeled by a parabola. The central span…

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Q: 2 6. For the telescoping series find a formula for the nth term of the sequence of (2k + 3)(2k + 5)'…

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Q: Graph the function f(x) = −2log (x+5) -8 on the axes below. You must plot the asymptote and any two…

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Q: What is the area of AABC given a = 12 inches, b = 24 inches, and m2C = 28³? O 83.125 in.² O93.156…

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Q: }} If y cos(xy) dydx = x=0 y=0

A: Here we have to find the integral.