Multiply and write the answer in the form of a + bi. 6-3/(5 i+2) O O 21-6i O 21-3i O -7-3i -7-6/

Q: Simplify 3+√-75. O 3-5i√3 O 3-25√3 O 3+Si√3 O 3+25i√3

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Q: Find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated…

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Q: A central angle is drawn in a circle of radius r, as in the figure below. (Use the following as…

A: Since radius of the circle is r  Therefore the circumference of the circle is 2*pi*r

Q: (b) (c) Draw the curves x = y², x=e" and the lines y = 0, y = 1. Then show the shaded area of the…

A: x=y2,x=ey and the line y=0,y=1

Q: Assume lim f(x) = 6, lim g(x)=3, and lim h(x) = 2. Compute the following limit and state the limit…

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Q: Use linear approximation, i.e. the tangent line, to approximate √27.3 as follows: Let f(x)=√x. The…

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Q: Consider the following function on the given interval. f(t) = t-Vt, [-1, 6] Find the derivative of…

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Q: Determine whether the following series converges or diverges. n=1 n 6 + Inn (-1)"-

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (9x4+8)³ √…

A: To find out the integration by using substitution.

Q: Find the expression for Ax and the right Riemann sum for each of the following functions and…

A: a)  The left Reimann Sum (also known as the left endpoint approximation) uses the left endpoint of a…

Q: Consider the function f(x) = 9(x - 2)2/3. For this function there are two important intervals: (-∞,…

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Q: Find an equation of the plane through (-6, -4, 0) that is perpendicular to the line x - 2 = 2t, y +…

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Q: Use the graph of f(x) shown below to find the following integrals. (Click on the graph for a larger…

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Q: Lost, revenue, and profit are in dollars and is the number of units A firm knows that its marginal…

A: Let number of unit produced is denoted by x Let the cost function is denoted by C Let the revenue…

Q: D 5. Evaluate S ( 1 + sinx)² cosx dx 6. find the area of the region bounded above by y=x+6 bounded…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: f(x) = x5 - 5x a) Find the critical numbers of f. b) Determine the intervals on which f is…

A: The given function is: f(x)=x5-5x

Q: Explain why the function f(x) = 241n # attains an absolute maximum and absolute minimum on [1, 10].…

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Q: use integral test to determine the convergence or divergence of the series, but assume that all…

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Q: For the function y = (x2 + 4)(x3 − 9x), at (−3, 0), find a) the slope of the tangent line (b) the…

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Q: De Find the intervals where f(x) is increasing or decreasing. a f(x)=-x³ c_ f(x)=√√2-1 A. b…

A: **As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: unction of m²

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Q: A candy company determines that the cost in dollars for a boxes of candy bars is given by C(x) =…

A: Here we have cost function C(x) Since average cost function is given by C(x)/x.

Q: Construct a polynomial function f with the following characteristics. zeros: -3 (multiplicity 2),…

A: we need to construct a polynomial with -3 (multiplicity 2), and 4 (multiplicity 1) degree 4 here we…

Q: The answer for step 4, the calculation of Marginal cost, revenue, and profit when 50 units are sold…

A: The solution is shown in step-2

Q: 1. Determine which of the following methods of integration can be used to solve the integral S - (In…

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Q: (a) lim >L sin' (t) t-i

A: We have to use the concept of differentiation  and limits. According to our guidelines we are…

Q: If a rock is dropped from a height of 215 ft, its poistion t seconds after it is dropped until it…

A: Given :st=-16t2+215

Q: a) ff x²y dy dx

A: let  F=∫03∫12x2ydydx

Q: Can someone help me find the correct answer. I'll post the answer I got but correct me if I got it…

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Q: Depreciation of Equipment For assets such as machines, whose market values drop rapidly in the early…

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Q: The power rule: 1x². NOTE: Enter the exact answer. 6 S[$ 1-30+ x" dx = 7 dy = r+1 + C, r = -1.

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Q: Show that of all the rectangles with a given area, the one with the smallest perimete is a square.…

A: Let length of rectangle=x units Let width of rectangle=y units

Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

A: Using the given value we find the composition function value and value of f’(2)

Q: Which formula would be used to calculate the left rectangle approximation of f¹ 4x²da using five…

A: To find out the correct answer that shows the calculation of the left rectangle approximation of the…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 (1-2x)6 dx…

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Q: Find the area that r = 2 - 2 sin (theta) encloses.

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: Find the derivative of the function. f'(x) = f(x) = In(8x)

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Q: Let y = 3x². Find the change in y, Ay when a = 2 and Ax = 0.2 Find the differential dy when x = 2…

A: y = 3x2As we know that ∆y = y( x + ∆x ) - y( x )

Q: Find the limit. lim x48 x + 7 x + 2 X

A: To evaluate the following limit. limx→∞x+7x+2x

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [(9x (9x - 8)…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: To find the vectors that satisfy the stated conditions. (a) Oppositely directed to v=3, -8 and half…

Q: Consider the points A(3, -3,2), B(6, -5,0), C(-1, -4,0), and D(6, 3, 4). (a) Find the volume of the…

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Q: Heron's Area Formula Let a, b, and c be sides of AABC. Let s equal the "semi-perimeter" of AABC…

A: Given the sides of the triangle  a = 225 ft  b = 900 ft  c = 850 ft

Q: Find the area of the region that lies inside the first curve and outside the second curve r = 13…

A: Given: r = 13 sin θ, r = 7-sinθ First, let's determine the points of intersection between these two…

Q: Find the most general antiderivative of the function: f(x)= 5x² - 4x² + 3x x²

A: Given: f(x)=5x3-4x2+3xx2 We are required to find: Most general antiderivative of f(x)

Q: DITIONAL TOPICS IN TRIGONOMETRY Solving a triangle with the law of sines: Problem type 1 Consider a…

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Q: For the function y = x2 + 3 x + 9at (3, 1), find  (a) the slope of the tangent line (b) the…

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Q: 3. Sketch a graph of a continuous function f(x) with the following properties: o f(x) is increasing…

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Q: An open-top cylindrical tank with a volume of 2000 cubic meters is to be constructed using steel.…

A: Let radius of cylindrical tank =r m and height of cylindrical tank =h m