Use sigma notation to write the sum. 72 [(-)* - - (-) + ... + [(²¹)³ - ¹²(²) 5]()+.. - [(3)-(*) Σ i=1 X 1

Q: Suppose the number of subscribers, S, to a YouTube channel increases according to S(t) = k(1.13)t,…

A: A detailed solution is given below.

Q: Find the solution for differential equation of dy/dx = 3t²+1 and y(1)=5 Also, indicate what type of…

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Q: log, 64 mmma O 5 log3 2 In 64 In 9 Ⓒ (log, 8)² O 2 logg 32 log 64 9

A: let  A=log964properties of log is logxn=nlogxlogbna=1nlogba

Q: 2sin2y=2cosy

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Q: Determine if the following statements are True or False. Assume all values of the variables and…

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Q: Use the functions: f(x) = = a) f(g(x)] = b) g[f(x)] = x³¹ g(x) = x+2 to find:

A: given  f(x)=7x3g(x)=x+2(i)  for  fg(x),  put  x=x+2 in  f(x)

Q: A Linear Programming Problem with two variables 1. Minimize g =12x+8y subject to x + 2y ≥10 2x+y 211…

A: A detailed solution is given below.

Q: Calculus for Engineers 1. Given the relation: {(1,2), (2,4), (-2,0), (1,3)} Is this a valid…

A: We have given a relation  {1,2,2,4,-2,0,1,3} A relation is a function if relates each element in its…

Q: Solve y' Y X + 4 ln x + 5 with y(3) = −2

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Q: 4. Find the absolute maximum and minimum values of f on the set D for the following: f(x, y) = xy²,…

A: Given function- fx,y=xy2, D=x,y;x≥0,y≥0,x2+y2≤9

Q: Consider the function f(x) = X-7 |x|-7' (a) Find the discontinuities of f(x). X (smaller) X (larger)…

A: Given, f(x) = x -7IxI  -7

Q: Is this function continuous on the given interval? f(x) = 2x + x-1 on on [-8, 8]

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Q: Find and classify the discontinuities of the following function as removable or nonremovable. If a…

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Q: Find the midpoint M of the line segment joining the points S=(7,5) and T=(3,-3).

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Q: Find the volume of the following solids. The base of a solid is the region between the curve y =…

A: Given:the base of the solid is the region between the curve y=2sinx and theinterval 0,π.

Q: True or False? True False Explain your response. Equivalent linear systems have the same solution…

A: True

Q: Find the volume of the solid generated by revolving the region about the given line. 2 The region in…

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Q: Find the family of functions that satisfies the differential equation u' (t) + u(t) cost = cost. Use…

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Q: Suppose f is a continuous function on [-2, 2] such that f(-2) = 1, f(2) = -1. Which of the…

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Q: Problem 12. Find a parametrization of the circle of intersection of (x+3)² +2²= 4 and y = 4…

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Q: Evaluate the limit: -8x - 8 x² - 1 lim x→-1

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Q: If a function is not continuous at a point, then it is not defined at that point. O True O False

A: Given: If a function is not continuous at a point, then it is not defined at that point.

Q: 5. (a) dy/dx = xy² dy/dx = y² (b) (c) dy/dx = y² + x dy/dx= x² + y² (d) 2 2 0 -2 1 2

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: F(s) = 6s+17 s²+8s+17

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Q: The equation C(x) = 380x+0.1x² +1000 represents the total cost of producing left-sided widgets where…

A: The given equation is: Cx=380x+0.1x2+1000 To find  (a) The total cost of producing 40 left-sided…

Q: Solve for solution of differential equation of y' = y/x - x/y Also indicate what its type of…

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Q: y = f(x) 10 Answer: 2947654321 6 -9-8-7-6-5-4-3-2-₁ ISPRS 7 -8 -9 -10 Evaluate: g(f(9)) 1 2 3 4 5 6…

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Q: Consider the differential equation dy dx = 2y.

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Is the point (11, -6) on the circle defined by (x-7)²+(+16)²=9?

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Q: Sketch the graph of the function. (Select Update Graph to see your response plotted on the screen.…

A: The given function is: fx,y=13-4x-5y Sketch the graph of the function.

Q: Find the volume of the solid generated in the following situation The region R bounded by the graph…

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Q: Luca drew this graph to represent a new turtle. What story does the graph tell about the turtle's…

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Q: I A N In the above picture, 0≤x, y, z ≤ 2. Points A and B are located on the face of the cube where…

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

Q: Find the critical point of the function f(x, y) This critical point is a: [Select an answer ✓ 3x +…

A: The given function is;  f(x,y)=3-3x+8x2+8y+2y2

Q: What does 2x + y = 4 represent in the xy plane and what in the space?

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Q: Write an equation for a sphere centered at the point (7,2,1) with radius 6.

A: General equation of sphere -   (x-h)2 + (y-k)2 + (z-l)2 = R2 where, (h,k,l)= centre  R = radius…

Q: Find the value of c for which the area enclosed by the curves y = c — x² and y = x² – - c is equal…

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Q: ind the largest interval which includes x = 0 for which the given initial-value problem has a unique…

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Q: H|3 π The Cartesian equation for r sin | 0 = 4 is y= (Type an exact answer, using radicals as…

A: We are required to change polar equation rsinθ-π3=4 to cartesian equation

Q: Solve u'(t) + u (t) = 5 subject to u (2) = −6.

A: given differential equation :-u'(t)+u(t) =5   subject to   u(2) = -6let   u(t)=ythen differential…

Q: T √ V A different radius --radius is 1-3-inches-- We just calculated the instantaneous rate of the…

A: What about the instantaneous rate of the radius when the radius is 13 inches? Would it be…

Q: 2. Given f(x)=√ a. Use the definition of the derivative to find f'(x). Be sure to show all steps.…

A: Given f( x ) =1xf'( x ) = limx→0f( x + h ) - f( x ) h

Q: a) where y shows feet above the ground t seconds after it is kicked. i) A soccer ball kicked up into…

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Q: (a) Solve for y: y = X = 2 + k= In(y) (b) Solve for the exact value of k: (0.84) = (ek)t

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Q: A person standing at the edge of a cliff throws a rock upward from a height of 350 ft above ground…

A: given  h(t)=-16t2+53t+350when the rock reaches the bottom  condition is h(t)=0

Q: A function is given as: iii) i) ii) f(x) = 4x²-5x + 3 Find the derivative of the function f(x). Find…

A: Given f( x ) = 4x2 - 5x + 3

Q: Suppose a company has a revenue stream that can be modeled by R(t): millions of dollars, where t is…

A: The given revenue function is Rt=-0.047t2+0.846t+0.116. We have to find the maximum revenue.

Q: lim f(x) = x-3 Find the indicated one-sided limits of f, and determine the continuity of f at the…

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Q: Nationwide Communications offers its customers a monthly plan for text messaging. Customers under…

A: Topic - Piecewise functions

Q: Consider the following function. f(t) = t² (a) Find the relative rate of change. X १ (b) Evaluate…

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