Is the following piecewise function continuous? if x < 0 0

Q: Explain why the integral is an improper integral and evaluate it: =dx √x-2

A: Given integral:- ∫251x-2dx

Q: 18. y = 3x + 2 20

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Q: 2.4 Write functions of the following graphs. 2.4.1 2.4.2 + -3 -2 -3 N 0 -1+ 34 2+ 0 - 2

A: Above question is solved

Q: Find -(4²). Type In(x) for the natural logarithm function. da (4²)

A: Topic = Derivative

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

Q: The shaded region between the graphs of y x I I - 2x² + 20 and y = 3x - 15 is displayed below in 25…

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Q: There are only two solutions to the trig equation sin =1. a) True Ob) False c) It depends on the…

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Q: -10 -5 f(x) 10 10 5 10

A: Note: Since the student has posted 2 sub-parts of the question in which the part (1) is complete and…

Q: Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is…

A: The answer is given in step 2.

Q: Calculate the following definite integral: 2x² + 5x dx

A: Given ∫022x2+5xdx

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=6√x + 7 x dy

A: To find the differential dy of the given function.y=6x+7x

Q: 3.4k Σ Evaluate 7k

A: Given ∑k=3∞3.4k7k

Q: Find the Domain and Range of the function (Have your answers in interval notation)

A: Question: Find the Domain and Range of the function (Have your answers in interval notation)

Q: -6-5-4-3-2-1 у 6 5 4 3 2 1 -1 -2- -3 -4 -5 -6 7 123 456 X

A: To find the range of the given graph.

Q: Find the limit. (If an answer does not exist, enter DNE.) [1/(8 + x)]- (1/8) lim X→0 X -1/64

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Q: 00 3) Use the integral test to determine whether the series k=1 ke-2k diverges converges or

A: We have to check weather the given series is convergent or Divergent in nature.

Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: Determine whether the function is differentiable, continuous, both, or neither at the value where…

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Q: If f(x) = f'(x) = 4-3x7, find f'(x). Use exact values.

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Q: c) 2x²8x + 4x³ - 4

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Q: If {an} and {bn} are divergent, then {an bn} is divergent. Select one: O True O False

A: The objective of the question is determine the choosing the correct option.

Q: Find the area of the shaded region

A: The objective is to find the area of the shaded region.

Q: Given f''(x) = 5x - 2 and f'(-2) = Find f'(x) = and find f(1) - 4 and f(− 2) = 4.

A: Topic = Integration

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x + 4 between x =…

A: Given function, y=4x+4 x=6, x=8 First we draw the diagram

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: 5x+3 2x² + 4x+7 -2 dx

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Q: 3. a. f(-2)= b. f(1) = c. lim f(x) =

A: Note :- This is multiple sub parts questions and according to our company guideline we can do…

Q: 5t 1+3t 2. Pumping stations deliver oil at the rate modeled by the function D, given by D(t)= with t…

A: Given the oil delivery rate,          D(t) = 5t/(1+3t)  gallons/hour  Here 't' is in hours. We can…

Q: 2x³y¹ = y(y² +. 3x²) Answer: y²(C-x) = x³

A: The given differential equation 2x3y'=yy2+3x2 The general Bernoulli differential equation is of the…

Q: 4. The population, P, of a school of fish t years after being released in a new habitat is given by…

A: The solution is given below

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: 2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives…

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Q: 5-4-3 2-1 10 9 8 7 6 5 1 y 4 32 3+ 2+ 1 2 234 3 4 5 -6 1 2 3 4 5 X

A: Please see the below picture for detailed solution.

Q: Sketch the region enclosed by y = 5x and y = 6x². Find the area of the region.

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Q: Let f(x) = x¹ - 50x² 3 (a) Use the definition of a derivative or the derivative rules to find ƒ'(x)…

A: "since you have posted a question with multiple subparts,we will solve first three subparts for…

Q: im not really understanding because its typed

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Q: Evaluate the definite integral by the limit definition. L²(x² + 4) dx Submit Answer

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Q: it got marked wrong? did i type it in wrong?

A: We have to find the formula for the sum of n terms and use the formula to find the limit as n tends…

Q: for evey 2 adults there are 3 children if 275 ppl attend how many kids are there

A: given that, for every 2 adults,there are 3 children total number of people=275 how many kids are…

Q: -) 5cos(x +40°) - 3.6 = 0

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Q: EQUATIONS 5y" - (y) = y³ sin æ 4 x yy" + 2x = tan x ºr + (5) - w = 4et St2 88 SM - (SM) dy³ xt' +…

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Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: 6. Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

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Q: y = x y=2-x2

A: The region is bounded by the curves y=2-x2 and y=x is rotated about x-axis. we have to fins the…

Q: An investment of $40,500.00 earns 1.8% annual interest, compounded continuously. How long will it…

A: Given problem:- An investment of $40,500.00 earns 1.8% annual interest, compounded continuously. How…

Q: 7л Determine the exact value of cot 6

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Q: (4) (g) S 40t2 4t²+25 - dt S du = u-atan-¹"+C u² u²+a² (be sure to list the parameters: a,b,u,…

A: Given ∫40t24t2+25dt   And use ∫u2u2+a2=u-atan-1ua+C

Q: 8. Find the equation of the exponential function g(x). (No Decimals) Equation: -6 a

A: Solution ) from the graph  ( 0 , - 2) and ( 1 , 2 ) points are on the graph  Equation of exponential…

Q: solved

A: Please refer to the image below