Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and cot (A+

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A: Given that the expression

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A: To solve the following integral.

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

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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…

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A: The baseball field is located 2 blocks west of street B and 28 blocks north of street A.

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

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Q: 3/4 Find the cost function if the marginal cost function is given by C'(x) = x C(x) = +5 and 16…

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y2 = −4y₁ + 1y2 where y₁ (0) = 4, y2…

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Q: 5. 6% a. x-2 dx 1-sin 2x 2 x-sin-x dx 2 + tan² x x + tan x - dx

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Q: Find the cube roots of 125i. (Enter your answers as a comma separated list.) Sketch these roots in…

A: The given complex number is By De Morive's theorem The nth root of a complex number is

Q: 11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot…

A: A farmer wants to fence off a rectangular plot of ground with area 3000 ft2 and divide the plot into…

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Q: Find the unit tangent vector to the curve at the specified value of the paramet r(t) = t³i + 3t²j, t…

A: The given equation of curve

Q: Find ∫∫R x^2dA where R={(x,y)∣9x^2+4y^2≤36

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Q: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)…

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Q: 4. n=1 ne-n

A: Since you have asked multiple questions in a single request so we will be answering only first…

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A: The given parametric equation of curve is

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Q: Let (a) Evaluate det1B 2 by expanding by the second row. (b) Evaluate det1B 2 by expanding by the…

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Q: Consider the function defined by f(x) = sin(sqrt(|x|)).  A) What is the domain of this function?…

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Q: Sketch the graph of the quadratic function. f(x) = x² — 20x – 800 - -

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Q: Find the Derivative and the Line Tangent to a Curve at a Point. 2 (-2x - 3)² Given that R(x) R'(x)…

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Q: Consider the indefinite integral ax + b + where Then the integrand decomposes into the form C d a =…

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Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

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Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

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Q: The graph of f(w) = 9 is given below. 10- 8 6 5 4 -4-3 -2 -1 3 1 2 3 4 5 6 7 8 9 Determine the…

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

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Q: 800 The demand function for a widget is given by p= 90+ where p is the price of the widget in…

A: The given demand function is,

Q: Find T 1 = -1 wwwman x² dx + C

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

A: The objective of this question is to find the average revenue, marginal average revenue functions,…

Q: height (feet) of an object moving vertically is given by s= - 16t² +288t+216, where t is in seconds.…

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Q: S 12x+8 3x²+4x+8 dx

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A: Given that the region bounded by curves

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A: Given the function  and the point , which lies on the graph of , then to determine the equation of…

Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: Use polar coordinates. Find the center of mass of a two-dimensional plate that occupies the quarter…

A: To find the center of mass of a two-dimensional plate that occupies the quarter circle x2+y24in the…

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)

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Q: Question 5 The formula for the braking distance of a car is: 0.03361 v² fl d= where: . d is the…

A: given data:

Q: f 9 csc (2) sec (2) dx Evaluate the integral above by taking the derivative of each answer choice to…

A: We have integrate the given expression