S (√x-2²) √x dx

Q: The number of toy kangaroos, K, in a toy box after 't' days is given by K=t2+20t. a) determine the…

A: Topic:  Application of derivatives , rate of change     The answer is given below:

Q: The weekly demand for Math Wars - The Force Multiplies video games is given by Р 420 x - 6 +4000…

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Q: D Question 8 In the Four-Step Rule, why is the cancellation of the Ax terms allowed even if Ax→ 0 is…

A: Solution

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A: A particle is moving in a straight line with velocity given by        v=2e-t2-1    for  0≤t≤4where,…

Q: Question 1 What is the slope of the tangent line to the curve y=√(x-2) at the point (6,2)? O 1/2 14…

A: we need to find the slope of the tangent line at (6, 2).

Q: M S√2x = 1dx

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Q: 1. Given the function y = x4-2x²: a. Determine the maximum point/s. a. (0,0) O b. (-1,-1) O c.…

A: In order to check maxima and minima we have to differentiate given function twice and check for sign…

Q: 0.016t The population of a town is increasing at a rate given by P'(t) = 34 e where P is the…

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Q: Find the inverse Laplace transforms of the following: 7 S-4 (a) Ans: 5 3 + 1 16 + 7 641 144

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Q: [We dx = + C

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Q: Prove lim(2x+3) =.

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Q: Determine whether the function is even, odd, or neither f(x)=tan(x) cos(x)

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Q: Given limx→4f(x)=4limx→4f(x)=4 and limx→4g(x)=4limx→4g(x)=4, Evaluate :  limx→4f(x)+g(x)8f(x). The…

A: See this solution in below.

Q: 10 B 64 2 2 6 $10 Q

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Q: Use the limit definition of the derivative to find the derivative of the function f(x) = 2x² - 4x +…

A: I am attaching image so that you understand each and every step.

Q: c) G(w) = √ W 1+3w

A: (c) The given function is: G(w)=w1+3w The quotient rule of the derivative says:…

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A: We need to find out the value at the end of 3 years.

Q: Let D = {-4, √6, 0, 2, 6.5, 10, 0.4, n}. Which elements of D are real numbers? (Select all that…

A: Real number:-It called father of number because it contain all numbers i.e it contains rational ,…

Q: 3x2 + Sv 을 가

A: Given Expression:- 3x-12+4x12+x32

Q: 3 3x-1 f(x) = 4x²³²³-x + ³x-

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Q: Evaluate the indefinite integral S -10x² X dx

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Q: Find the angle between the vectors (6, 30√3) and (30√√3, 12). (Express numbers in exact form. Use…

A: let a→=6,303 and  b→=303,12

Q: x Carry out the following calculations following the rules for significant figures. a) 380.47…

A: see below the answer and calculation

Q: Integrate. √ ( 7x² + 2/17 - 0²³) 0 3x 4+ dx = 0 +C

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Q: Find the limit. lim X-1 lim X-1 √√x²+3-2 X-1 √²+3-2 x-1 = (Type an integer or a simplified…

A: Solution: Let the given limit is

Q: direction:  find the derviative  (10)  y=in(x^2 +4)-1/2  arctan x/2

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Q: Prove that square root 3 is not a rational number.

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Q: 2. Evaluate the following limit (tabulate). 4- x² lim x→² 3 − √√√x² + 5 O It does not exist O -1 O…

A: Solve the limit

Q: Suppose the position function of an object moving along a straight line is given by s (t) = and you…

A: Velocity of any moving object is defined as rate of its position so you need to find the rate of the…

Q: 54. P(x)= x³ + 2x²-3x - 10, 55. P(x) = 2x³ + 7x² + 6x - 5, 56. P(x) = x + 3x³ c = 2 c = } 16x²27x +…

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Q: Express the following curves (given in polar coordinates) in Cartesian coordinates: r=-3 sec v r² =…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Evaluate the given integral. Use exact values. 52+17 (x+3)(x + 4) √ dx = Question Help: Video Add…

A: Topic:- application of integration

Q: (6x+y²) dx + (2xy-3y²) dy =o

A: Topic: Differential Equation   The answer is given below:

Q: Evaluate the integral. (Use C for the constant of integration.) | V 9-x dx

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Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (5, 18).…

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Q: 11. f(x) = a sinx - b cos x + c

A: f(x) = asinx -bcosx +c  Given We have to differentiate it . Steps are given below

Q: For what values of a and b is the following function continuous at every x? 1 x≤-1 f(x) = ax-b -…

A: Given data: Function,  f(x)= 1                      for  x≤-1   ax-b             for -1<x<37…

Q: Consider the graph of the following function. f(x) 5+ 4- 3- A- -5 -4 -3 -2 -1 0 (-∞0,00) O(-3,4) O…

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Q: Question 7 In the Four-Step Rule, which among the steps is the most important, upon which the…

A: A differential equation is an equation that involves a function and it's derivatives.

Q: The population of a town t years after the beginning of the year 2000 is given by P(t) = 5386 e…

A: I am attaching image so that you understand each and every step.

Q: here is the function f(x) below discontinuous 4, (x)=x²-5, x + 3, if x 1

A: Given query is to find where is function discontinuous.

Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

A: Given:     The curves 2y=2x2-6x+7                       y=x2-3x+72 ...1    Curve 2y=x+4…

Q: Find the following indefinite integrals. X IV. dx x +9 = +C

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Q: Find the area of the region enclosed by the curves y=x²-7 and y = 9. The area of the region enclosed…

A: This question can be solved using the concept of area between two curves.

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→C+ X-C¯ |x + 111 f(x) = (x +…

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Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

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Q: Use transformations of the absolute value​ function, f(x)=|x| to graph the function g(x)=−x−2+7.…

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Q: K A person's metabolic rate tends to go up after eating a meal and then, after some time has passed,…

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Q: A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

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