Find the arclength of fox) = Ln/sinx/ on [1, 2] Round the answer to 2 decimals.

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: b(x-2)²(y-3)² + 20 36 = 1

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Q: 1. Assume that 1 mol of gas has the following equation of state: p = RT+b V. Answer the following…

A: as we know for gas equation that R and b is constant so variables are T and V p = RT + bV

Q: Find the center, puci, vertices, endpoints of canjugate axis. Determine the asymptotes and sketch…

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Q: 1 n Prove that 1+ 2+ -3+ + 2-1 (Hint: Differentiate both sides of the equation equation.) +4. 1 1-z…

A: The solution is given below

Q: Let f(x, y) = x² + 2y² + 8zy List the critical points: The critical point at the origin is a Select…

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Q: √9-x² 5. √9-x²

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Q: PRODUCTION A business manager determines that t months after production begins on a new product, the…

A: Given :- Pt=6t2+5tt+12 ⇒Pt=Number of units produced will be P thousand ⇒t=Number of t months

Q: A trapezoid has one of its legs perpendicular to both parallel bases. If the altitude of the…

A: According to question,Given,Height of Trapezoid, H = 3 units.

Q: Find f"(-1) if f(x) = 1 - 2x³. Answer:

A: Solve the given

Q: Find a Cartesian equation for the curve. r = 5 sec (8) Identify the curve. circle hyperbola O…

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Q: A rectangle has its longer side always thrice its shorter side. If the initial measurement of the…

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Q: Solve the system of Gaussian Matrix lincar equations - 2x + x + 2y - Z = 1 3x + 8y + 5z = − || + 12…

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Q: 1).  State whether the statement is true, or give an example to show that it is false. If ∞     n =…

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Q: Solve the following DE: -y dx + (x+√xy) dy=0

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Q: Given x = 84t + 44 and y = (i) dx dt dy dt (ii). = = 1092t² + 115 (iii) dy dx (write the simplified…

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Q: (D² + 3D +2)y = 1 + 3x + x² Complementary Solution Particular Solution

A: Solution: The given differential equation is  (D 2+3D+2)y=1+3x+x2

Q: Find all solutions of the equation 3 sin² x - 7 sin x + 2 = 0 in the interval [0, 2). The answer is…

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Q: b. z = x² + 3wxy + w², with x = 2t + 1, y = e, and w = 3-t².

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Q: Use Newton's method to estimate the requested solution of the equation. Start with given value of xo…

A: To find the root using Newton's method

Q: At what point(s) on the curve x = 6t² + 1, y = t³ - 7 does the tangent line have slope? (x, y) =

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Q: Consider the following. x = 7 cos(8), y = sec²(0), 0≤ 0 < 2 (a) Eliminate the parameter to find a…

A: Note: In question, graphs of part b are not given, according to guidelines, I am doing the first…

Q: Set up the right-endpoint approximation to approximate the area under the curve of f(x) = on [1, 2]…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 1 +…

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Q: (part 2 of 4) 4 Find the coefficient of x in the Taylor se- ries expansion centered at the origin…

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Q: Consider the following integral. f(x) dx where Rewrite the given integral. 0 [₁ 4 f(x) dx = Evaluate…

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Q: For the parametric equations: = 24et and y = 144e24t (write the number answer only in the box) da dt…

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Q: Determine whether the following statement is true or false. Given constants a and b, if f is…

A: Topic = Function Correct Option = C

Q: Given the differential equation y'=e^x/y and y(e)=1, what is C?

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Q: Determine the value of the third derivative of f at x = 1 when f(x) e(5-2x) 1. f"(1) 2. f"(1) 3. f"…

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) liters 110e…

A: Given an oil storage tank ruptures at time t = 0 and oil lesks from the tank at the rate of r( t ) =…

Q: Evaluate Jo xzds, where C₁ is the curve defined by R(t) = (Int, 3 - 4√t, 2t), t € [1, 2].

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Q: . Find the slope of each line. 1) b. Find a. m = b₁ b = (0) C.

A: As per the rules, we can answer only first question and rest can be reposted.

Q: 1) The price-demand function for selling x pieces of a certain product is given by p(x) = 5x²+ 37x,…

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Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. BOX THE FINAL ANSWER. Subject:…

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Q: Select the graph for which f¹(x) > 0 a) b) c) d) v r and f(x) > 0

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Q: Maximizing the Area of a Garden A rectangular garden is to be constructed using a rock wall as one…

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Q: Evaluate the Dot Product u * (v + w). If : u = (-5, 7) v = (1, 6) w = (-11, 2)

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Q: Find дz ax and дz at (0,0,0) if x3 + z2 + yexz + z cos y = 0. ду

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Q: Find the Inverse Laplace Transform of: SF (s) + 2 F(s) = s² − 6s + 10 (2s² +8s + 4)

A: We need to find inverse Laplace.

Q: The final should be 4 no? Not 23/6?

A: Given Vector:- F→x,y,z=lnx+y+xzπ,1+yzsinhy,zey-cosz

Q: Solve the linear program graphically. Maximize p = 3x + 2y Subject to: 3x + y ≤ 30…

A: We can solve the given linear programming problem by  using graphical method

Q: A particle moves along the x-axis so that its position at any time t> 0 is given by the function…

A: As per guidelines only 3 sub parts is allowed to solve preferably first three if specific question…

Q: Find the number c which satisfies the conclusion of the Mean Value Theorem for the function f(x)…

A: The given function fx=4x2+2 on the interval -10, 8. We have to find the value of c that satisfies…

Q: 5) Find, using Cylindrical Coordinates, the volume of the solid that is enclosed by the cone and the…

A: Cylindrical coordinate

Q: Estimate the value of tan (46°). The answer cannot be found among the other choices. O 100x 303 1+…

A: we want to find the value of tan ( 46° ) tan ( 46° ) = ?

Q: Find dz and ● dz de . || ab 11 ab for sin (a) sin (a) a da Ә f Әх sin (5x y².z) = 3 + 4x + 5y + 3z.…

A: We will do partial differentiation.

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: 7. f(t) 1+ (8) elo bits 0 2a 3a Figure 7.23 Triangular wave Vi t 4a

A: As per the guidelines I can solve only one question

Q: Consider a triangle ABC like the one below. Suppose that a = 40, b = 61, and C = 30. (The figure is…

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