Determine the intervals on which r is continuous. Enter the solution using interval notation. 20x x-4 r(x) = r is continuous on

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A: given graph of function

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A: To solve the following limits.

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A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: Evaluate the limit 4x + 9 lim x 11x²9x +9

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Q: 1) lim 4x + 4 x + 04 -10 - R(x) 3) lim J f(x), f(x) = x (-x²10x-24, x≤-3 2x + 3, x>-3 f(x) 2) lim…

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Q: (2) Evaluate the following integrals. (a) [² x²(3x³ + 1)¹/³ da 0

A: To evaluate the following integrals.

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Q: Question 3 Solve the problem. If f(x)=√√x+7 and g(x) = 8x - 11, find f(g(x)).

A: Given functions

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Q: One version of the Fundamental Theorem of Calculus can be stated as: q [F(a)adua f(a)da = F(q) -…

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Q: 6: Prove by contradiction that for any positive integer x, x+ 49 x ≥ 14.

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Q: the

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Q: Let f(x) = x²-144 X+ 12 x²-144 x-12 if x 0 Find a) lim f(x), b) lim f(x), and c) lim f(x). x - 12…

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Q: se the Cobb-Douglas production function to find the production level when x = 400 units of labor and…

A: This is question of calculus Here function is given We have to put value in function and we get…

Q: 713 950 -153 -291 840 -262

A: The given problems are , , and.The aim is to find the subtraction of the given problems.

Q: 3. Evaluate the following limits: a) lim 3x² − x+7 x→3

A: To find

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A: Given

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Q: Find by implicit differentiation. dy dx dy dx = √xy = xy + 29 12x6y²-√√xyy x(√xy - 2xy) x

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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Q: For this exercise, refer to the cost and revenue functions to the right. The cost of producing x…

A: we have given, the cost of producing x units of goods is C(x) dollars, and the revenue from selling…

Q: F Let f(x,y)= In (y+2)+2xy, Compute f(0, -1). OA. 1 OB. 1+e OC. 0 OD. e

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Q: Calculus 2 ( 2nd week) (area between curves and integration by u sub) Suppose that Sue runs…

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Q: Use the method of reduction of order to find a second solution ty" —(8t + 1)y'+(16t+4)y=0, t>0 Given…

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Q: x-9 +²+3x-10 }} A Y + B X-2 x-q (*+5)(x-2) X-9 = A (x-2) + B (x+5) AX-2 A+B x + S B (A + B) x +…

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Q: Calculate the arc length of y = 10x + 1 as a varies from 0 to 8. S =

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Q: Consider the rectangle shown in the figure. y (a) Find the area of the rectangle as a function of x.…

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Q: 3 Find the area of the surface generated by revolving the curve x = 2 0≤ y ≤3, about the y-axis.

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Q: MAT 132: Calculus with Analytic Geometry truction: 1. Answer Must be handwritten with step-by-step…

A: The  term of  =

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Q: 11. (Hint: Rewrite first) 1 + x 1+x² dx

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Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 12t 14 ft/sec…

A: Given:A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat.Let x be…

Q: 4x+9 (x-1) (x+1) (x+4)

A: we have given integration

Q: Find all values of x and y such that fx(x, y) f(x, y) = x² + 5xy + y² - 15x - (x, y) = ([ = 0 and f…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Is this statement true explain why, if false explain why if x² te=10, then y'= -2x

A: find dy/dx

Q: |Given f (x, y, z) = x4ყ326 find მნ } მყმ:2მ/მ2 Ans: 2160x2yz*

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Q: -6 -5 -4 -3 -2 -1 9+ 8 7 6 AS 4 + The parametric curve defined by [x = 4tπ sin(2t) y=4-π cos(2t) is…

A: The given parametric curve equation is