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Q: Evaluate the integral: O x ○ x = 3 sec (0) 0x = 8 sin(0) (A) Which trig substitution is correct for…

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Q: The position of an object in circular motion is modeled by the parametric equations x = 9 sin(2t) y…

A: Note: Due to guidelines, I can solve only first 3 sub parts.

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

Q: Suppose we have a triangle with A 40°, B= 60° and c = 4. Then a =

A: Sum of interior angles of a triangle is 180 degrees

Q: Use logarithmic differentiation to find y = secx tex Secx dy dx 4 for: x² +1 e 8x secx

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Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+2t³,…

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Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: I have appended the formula used in the solution procedure

Q: 15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from…

A: Hsnsnsn

Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: Given the geometric sequence: 20 3 find a formula for the n-th term: ao = 2, a₁ a1 = , a2 = 200 9…

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Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

A: Note:-Since you asked multiple questions according to our polcy we can answer only first question…

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0+6…

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Q: 2. True or False: If the parametric curve x = a(t), y = b(t) satisfies d'(5) = 0 and b' (5) = 1 then…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: To find a formula for the general term  of the following sequence.

Q: Find the absolute minimum and absolute maximum of f(x, y) = 192x³ + y²(1 - 4x) on the triangle with…

A: Given function is Now, we have to find the absolute minimum and absolute maximum for the above…

Q: Find the end points of the minor and major axis for the graph of the ellipse (x - 2)² (y – 5)² + 1…

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Q: Find the area of the region bounded by the graph of f(X) = Sin X and the X axis on the interval [-2…

A: Given:

Q: Find the volume of the region under the surface z=xy^2 and above the area bounded by x=y^2 and x+y=2

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Q: dr Evaluate the integral: 2² (A) Which trig substitution is correct for this integral? Or=2 sin(0)…

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Q: :) 2 ↑ t Suppose g(x) fict) > 0 Por all Investigate whether gaxs min. (ii) an inflection local max…

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Q: Suppose f(x) X = -1. Determine and graph four distinct antiderivatives of f. 10 -8 -6 -4 -2 10+ 8 6…

A: The given function is

Q: A company incurs debt at a rate of D'(t) = 102(t+10) √ ₁²+ + 20t dollars per year, where t is the…

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Q: 5.4-1+1/2 - 1/6 + 1 64 |

A: Given that the series we have to find check the series absolutely convergent, conditionally…

Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: from the given table

Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

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Q: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

A: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

Q: For the function f(x)=x^3 - 3x^2 - 9x A. Find the critical points of f(x) B. Where is the function…

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

Q: Find the derivative of h (x) = csc¹ (x) Oh' (x) = -4 csc¹ (x) cot(x) ○ h' (x) = 4 csc¹ (x) cot² (x)…

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Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

Q: Suppose that we're making and selling some widget and the profit (in dollars) when making a widgets…

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Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

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Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

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Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. |x,…

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Q: Evaluate ff xdxdy where R is the region bounded by x=2, y = 0 and y = x

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Q: 3 fff Sayz dv= - S₁² S₁² ² 8zyz dz dz dy 2

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Q: 6. Evaluate the indefinite integral (use C for the constant of integration). a. b. C. f(3x -…

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Q: Find and simplify the difference quotient f(x) = 8 f(x+h)-f(x) h h#0 for the given function.

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Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

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Q: Evaluate the indefinite integral as a power series. fin(1+x²) dx

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Q: 18. Find the value(s) of c that satisfy the equation f(b)-f(a) = f'(c) in the conclusion of the Mean…

A: GMean Value Theorem

Q: Suppose parametric equations for the line segment between (4, 2) and (4, - 2) have the form: [ x(t)…

A: The line segment between the points (4, 2) and (4, -2) has parametric equations,It is also given…

Q: Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that.…

A: Given graph of function

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: R'(x)= 0.03x2-0.08x+189

Q: 1 •[₁ F(X) -1 Given f(x) dx = 0 and (a) [f f(x) and [₁ f(x) dx. 1 (c) [₁² (d) (b) • [² f(x) dx - [°…

A: (a)

Q: I For f(x) = x-2 4x+20 (a) f(-6) (6) f(2) (C) f(-5) (a) f(a+3) find

A: The given function is To find:-

Q: lim x-0+ x lim x-0-x² g. h. 2 1+x i. lim (¹+2) ² →? x-2

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-4). f(x) = 3x² + 6x – 13 g(x)…

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Q: S (x² − 2) dx; n = 4 32.

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Q: Consider the following parametric curve. Answer parts a and b. 70 x=2 sint, y = 2 cost; t=2 a.…

A: The given parametric equation of curve is