rdp-(p+√√pr)dr=0

Q: Find the limit: √√-8 lim 2-64 64 Give your answer to at least three decimal places: Submit Question…

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for -0. (a) lim (-37x² + 192³) =…

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Q: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

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Q: 2.) If x= 3, lim In(x+h)-In(x)

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Q: 4. y = log2 (5x³ - x² + 1)

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Q: Identify and sketch the domain of f(x, y) = x-y In (1 + y - x²)

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Q: (k/x². x 2 -1 < x≤2 x ≤-1

A: If the function is continuos at a point then the left hand limit and right hand limit of the…

Q: Solve for x:  log x + 2 log 2 = log 20 - log 10  and show all workings.

A: Solve for x:  log x + 2 log 2 = log 20 - log 10

Q: Solve each of the following differential equations given that each has an integrating factor of the…

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Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The function is given by fx = xx-62 To evaluate: maxima, minima and point of inflection.

Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: Given [(x³ - 3x¹ + 6x³ + 3)dx, evaluate the indefinite integral. Provide your answer below:

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 02 -- 01 3+ 2 Ⓡ O Does…

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Q: If an equation of the tangent line to the curve y = f(x) at the point where a = 3 is y= 7x - 3 find…

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Q: if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist, or "oo" or "-oo"…

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

Q: For the function: f(x) = 2x² - 2x - 1, find and simplify f(x) = f(a) x - a a. b. f(x +h)-f(x) h Get…

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Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

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Q: A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a…

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Q: 12x-8y+11=0

A: We have to choose the correct option from the given options accordingly to the given information

Q: The graph of the function f satisfies lim f(x): = x→4 -3 -18 f(x) 2 7 - Note: You can click on the…

A: First we find equation of given function. Given function is a straight line.

Q: Find where y is defined as a function of x implicitly by the equation below. y³ + 2x²y5 = 1 O Select…

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Q: Iff and g are continuous functions with ƒ(7) = 10 and limx→7 [2f(x) — g(x)] = 7, find g(7).

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Q: Consider the vector function given below. r(t) = (5t, 3 cos(t), 3 sin(t)) (a) Find the unit tangent…

A: NOTE: Refresh your page if you can't see any equations. . the unit tangent vector you have already…

Q: Find the limit. √x² x² - 9 lim xx 5x 15

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Q: хр (DZUIS-(x87 sex =h П ћp pul

A: We can find the required answer in the below steps.

Q: 2. In a factory, all employees work a basic week of 38 hours. Any overtime worked is paid for at…

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Q: (2p+3; p1 Given: f(p) = 2 7-2p Evaluate lim f(p). p-1-

A: Given: fp=2p+3 ; p&lt;12 ; p=17-2p ; p&gt;1   From the given piece-wise function, when p approaches…

Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 − 3x] + x, 2 x<-2 x ≥ −2…

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Q: Wages and Salaries Calculate the weekly wage of the following employees given their annual salaries.…

A: NOTE: Refresh your page if you can't see any equations. . to convert the annual salary into a weekly…

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

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 2+ Ⓡ C 1 2

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Q: 1 en (enx)+ dx (enx)?

A: To evaluate: ∫lnln x+1ln x2dx

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: Show that the function f(x) = |x - 21 is not differentiable at 2. We have The right-hand limit is…

A: To show that the function fx=x-2 is not differentiable at 2.To find a formula for f' and to sketch…

Q: lim f(x) and f(x) and lim f(x) x-(-1) x-(-1)* 2 " 09 -10 of(x) 2

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Q: Prove that lim f(x)=36 if f(x)= x-6 x²x#6 5 x = 6 C For a function f(x) that is defined in an open…

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Q: 23-24 How would you "remove the discontinuity" of f? In other words, how would you define f(2) in…

A: We can remove discontinuity by removing or cancelling some term from numerator and denominator. As…

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

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Q: Find lim h-0 13h+1-1 h √13h+1-1 h lim h-0 (Type an integer or a simplified fraction.)

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Q: 3 SFF X ex

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Q: The graph below is the function f(x) -5-4-3-2 Find lim * 2- Find lim * 2+ 3 Find f(2) -2 -3 -5+ =…

A: Topic = Limits

Q: Let f(x)= = [mx m = - 11 if x < -10 - - 10 x² + 4x 1 if x 2 If f(x) is a function which is…

A: Since the function is continuous everywhere, the value of f(x) at x&lt;-10 is the same as x&gt;=-10…

Q: 2. Find the limit if it exist of the following: x² - 2x a. (a) lim x2 3x2 10x +8

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Q: [2-3 57 A=0 1-3 0 0 2

A: Given matrix A=2-3501-3002

Q: 2. Consider the function f whose graph is below. 1 0 (a) What is the domain of f? (b) Explain why f…

A: Graph of the function is given We have to find its domain and one to one function. Note:    Since…

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The given function is: f(x)=y=x(x-6)2=x(x2-12x+36)=x3-12x2+36x

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) (ii) (1)…

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Q: = Let the graph of a piecewise-defined function f, from x x = 6, be the figure below. Evaluate So…

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Q: What is the interval notation for the solution set of: |8-3x|>2

A: In this question, we need to find the interval notation for the given solution set.