13. Let ƒ(x) = 1 3 1+(3x+2)² 2√√3x +2 Find f (17). 12

Q: A. Find the limits of the function f(x,., -2 2 1. lim f(x)= x--1+ 2. lim f(x)= X-4- 3. lim f(x)= 4.…

A: The graph of the function is  To evaluate:  1. limx→1+fx2. limx→4-fx3. limx→4+fx4. limx→1-fx5.…

Q: 1 - n(n+1) Show that the series Σ is convergent, and find its sum.

A:

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A:

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A: This is a problem related to probability distribution function. Please follow the procedure given…

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A: I have stated the used formula in the solution

Q: - 3 f(x)= x-2 2 if x 4 (a) Choose the correct graph below. ITPT▬▬ O Te C T ▬▬▬▬▬▬▬ Q O CHH do #fo 2…

A: Topic:- function

Q: Find the trace of the matrix. The trace of an nxn matrix A is the sum of the main diagonal entries.…

A: The given matrix is A= 1 0 5 1        0 1 -1 5       2 5 1 0      0 0 4 1.

Q: 14. f(x)= a. b. C. d. lim 2--1+ f(x)= lim lim lim 3(x-3)²(x+4) lim f(x) = f(x) =

A: see below the answer and explanation

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A:

Q: Which of the following satisfies the statement f(x) is O(g(x)) when x5log(x+1) f(x) = +16x²? -5x3…

A: Given data:- fx=x5logx+1-5x3-2x33+16x2

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A: For P(x1,y1) and Q(x2,y2)⇒d(P,Q)=(x1-x2)2+(y1-y2)2Midpoint M of segment PQ=x1+x22,y1+y22

Q: Y+y-cos x + 3 sin 2x

A:

Q: The inflection point of the graph f(x) = (x + 1)tan ¹(x) is B) (0,0) C) (-1,0) A) (15) D) (0,1) E)…

A: inflection point of the function f(x)=x+1tan-1x

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A:

Q: 13. lim -0 15. lim √x+4-2 x-1 x-1

A:

Q: Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the…

A:

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A:

Q: Find an expression for a cubic function f if f(5) = 60 and f(−1) = f(0) = f(6) = 0.

A:

Q: Find the domain of the function. (Enter your answer in interval notation.) h(x): = 4 x28x

A: domain of the function h(x)=1x2-8x4

Q: 13. The temperature in our school is modeled with this equation: T = 4cos(30(t−8)° +18. T = the…

A:

Q: Find point D where D is a point on AB where AD 1 CD. Then compute A = |AB||CD||

A: See the details solution in below

Q: lim sec O 0→→→I+ 2

A:

Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

Q: lete the table below. 5.9 x→b 5.99 5.999 6.001 6.01 6.1

A: Topic:- application of calculus

Q: The probability P (0.5<x<5) is 0.5 O a. false b. true O

A: This is a problem related to probability. Please follow the procedure given below.

Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

A:

Q: Find the equation of tangent for curve y = x3 - 2x + at x=-1 5x - 3y + 11 = 0 3x - 5y + 11 = 0 5x -…

A: This is a problem related to tangent line equation. Please follow the procedure given below.

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A:

Q: 20. What is the probability of an actually event? a. 0 O b. Insufficient data O C. 1 O d. Not…

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Q: < The productivity of a certain country with the utilization of x units of labor and y units of…

A:

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A:

Q: Let f(x) = x²²-2x-24 x-6 Find a) lim f(x), b) lim f(x), and c) lim f(x). X-6 X-0 X→-4 a) Select the…

A: The objective of the question is determine the limit of the given function and choose the correct…

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A: Given graph:-

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: Ans=(d) 0.57 For detail go through the solution I have solved step by step in detail

Q: Q5. L{tet sin t} =

A: Laplace transform of Le-ttsint

Q: .. Find the constants a and b, such that the function is continuous on the entire number li 2, x≤ -1…

A: Topic:- calculus

Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

A:

Q: Find the domain of y= 6x-1 √25-x²

A: Domain of y=  6x-125-x2

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A:

Q: Consider the following function. f(x) = 2x² Find the limit. lim f (x + Ar) - f (x)

A: The given function fx=2x2-6x we have to find the limit lim∆x→0fx+∆x-fx∆x

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A: This differential equation can be solved as follows:

Q: B- Use power series to evaluate the integral sin.x X -dx

A: We want to find integral of sinx/x using power series.

Q: 5. Suppose fand g are continuous functions and that: f(x)dx=-4, f(x) f(x)dx=6 and 8(x)dx=8 use the…

A:

Q: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: 03/: Find the area over the region R that lies inside the cardioid r=1+ cose and outside the circle…

A:

Q: . Test the equation for symmetry. (Select all that apply.) y = 7x4 + 2x2 a. The graph is symmetric…

A: Topic = Function As per guidelines , At a time only one question with three sub-parts can be…

Q: Help? Watch t

A: We will find the required.