k=2 2k (-5)k+1

Q: An object is traveling in a straight line. Shown in the diagram is the graph of its speed as a…

A: The given data is:   Estimate the total distance the object traveled between t=0 and t=6

Q: 7) 1 ƒ(x) = — - - 3² - 1 3 -6 2 Ay 18 16 14 12 10 8 61 2 2 6 x

A: Given function:- fx=13·3x-1

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A: The vertices of parallelogram is given as , 0,0,5,3,-4,2,1,5 and x=5u-4v , y=3u+2v find ∫∫R5x+2ydA=?

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A:

Q: Worldwide annual sales of a product in 2013–2017 were projected to be approximately q = −10p + 4,480…

A: We have to find the maximum revenue and the price.

Q: Consider the function f(x) = x^2 − x −1/2ln(x^2). (a) Find critical numbers and the intervals on…

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Q: Problem 4. Evaluate J yd A where D is the region in the first quadrant that lies above the hyperbola…

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Q: For the following geometric series 2 2 2 + 3 9 27 please find the first term "a" and the common…

A: given 2+23+29+227+.........

Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4, f'(1) = -8,…

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Q: ∞ 3" Σ n=12" + n

A:

Q: Order the functions by growth rate. a(x) = 85x c(x) = = x log₂ (x) + 5x! Select function ✓ Check…

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Q: dixy) Solve the system u x-y, v= 3x+3y for x and y in terms of u and v. Then find the value of the…

A: Given that , u=x-y     ......1 and  v=3x+3y       .......2

Q: Find the volume of the solid under 16 - x² - y² and over the circle or radius 1 in the xy-plane.…

A: Given:- The solid under 16-x2-y2 and over circle or radius 1 in xy plane

Q: Compute if dx Y = (ex² +7³) cosh5 (ln x) F (π + e)e²+ cot-¹(5x²)

A:

Q: K Estimate the volume of material in a cylindrical shell with length 46 in., radius 9 in., and shell…

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Q: The cost c in terms of the quantities 9₁ and 92 produced of good 1 and good 2 is given by c = 200 +…

A: differential

Q: In A CDE, CD = 12, DE = 5, and m/E = 83º. What is m/D to the nearest tenth of a degree? Enter your…

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Q: Suppose an oil spill covers a circular region. The radius in feet, r, increases according to the…

A: Solution: . as we can see from the graph, point (30,20) is on the graph  which means after 30…

Q: Solve the given equation.. dx + (x/y-siny)dy = 0 a. d. xy² + ycosy-siny=C b. xy + xcosy-ysiny = C e.…

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Q: If g(x) = 시일이었 2 +6 find lim q(x). x→0+

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Q: Find two numbers, and y, whose difference is 42 and whose product is a minimum. (Answer as a common…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

A: Given that  f(x) = 4x3 -6x2 -144x +3. ; [-4,5]  We find absolute minimum and maximum value.…

Q: Find the inverse of the matrix As 0.01 10

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Q: Evaluate the following integral. Stan(4x) sec (4x) dx

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Q: The general form of an antiderivative of the function f(x)=csc(x)(5csc(x)−6cot(x)). is F(x)=

A: f(x)=cscx(5cscx-6cotx)we know∫csc2xdx=-cot(x)+c

Q: If the series is convergent, use the Alternating Series Estimation Theorem to determine how many…

A: We need to find the number of terms as per given condition.

Q: Worldwide annual sales of a device in 2012–2013 were approximately q = −6p + 3,010 million units…

A: Annual sales function q = -6p + 3010 let profit function = K

Q: Fill in the missing values such that the final term is pulled out of the summation. Ex: 5 15 Σ; = Σ…

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Q: Sketch the graphs of the functions f and g. f(x) = 9x², g(x) = 2x + 3 -10 O 5 hty Ay X 5 10 -10 -5 5…

A: Area

Q: 3. Find two power series solutions of the differential equation (x² + 1) y" — 6y = 0 about the…

A: The given differential equation is:x2+1y''-6y=0

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: We have given the dimensions of the cardboard sheet i.e.   length= 11 in.  breadth = 7 in .

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: Given function  h( x ) =  x3 + 3x2 + 5

Q: t (seconds) 0 481216 Velocity (ft/sec) 048 1725 Shown in the table is the velocity of a car at…

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Q: 2 X 1 -2 -1 2 15 14 13 12 11 10 9 Z Find the surface area of the portion of the bowl z = 9+ x² + y²…

A: We have to find the surface area of the portion of the bowl.

Q: 58. y = x³ - 24 ln x, [2,3]

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Q: 8. An engineering firm is designing a ski lift. The wire rope needs to travel with a linear velocity…

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Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: The given equation is;  3x2+xy+2y2-71=0.

Q: 6 16

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Q: n k=1 (3 + 2k)² = Hint: Start by multiplying out (3 + 2k)². fra

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Q: Find the inverse function of f. f(x) = 3x x-5 f-1(x) =

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Q: A rectangular box is to have a square base and a volume of 63 ft3. If the material for the base…

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Q: Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p=…

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Q: Solve the system of equations by using the inverse of the coefficient matrix of the equivalent…

A: To solve the following system of equations

Q: D Question 5 D The table gives selected values of the continuous function f. 7 8 9 10 f(z) -11 -10…

A: Note: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b]…

Q: 5. Suppose that y(t) = (cost, sin t) for tER. Show that y(t) and (t) are parallel for all t € R.

A:

Q: For the demand function q = D(p) = 309 - p, find the following. a) The elasticity b) The elasticity…

A: We have to find the elasticity and the price that gives the maximum revenue.

Q: Let w(1, y, z) = -zy arcsin(z) where z=t", y=t, z = 7t. dz dw dt dz dy dt' dt & and using the chain…

A: Given: wx,y,z=-xyarcsin(z)where x=t4,  y=t3, z=7t To find: dwdt

Q: Express the diagonal of a rectangle, d, in terms of its width, w, if the area of the rectangle is 7…

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Q: Average Life Span One reason for the increase in human life span over the years has been the…

A: Question - Average Life Span One reason for the increase in human life span over the years has been…