f(x) = √8x-6, g(x) = x² - 16, (f + g)(x)

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A: Hint : Factorise denominator

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A: We have to find the equation of circle.

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A: ∫01 ∫024-x-y dydx

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A: We have to compute quotient difference in this question.

Q: Q. 3. a) Find first and second derivatives of the following functions: +7x y=cot(3t-1) 201

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A: We have to find the center and radius of given circle.   According to our guidelines we can solve…

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Q: Find the interval of convergence of (x - 15)2n+1 6n + 1 00 Σ n=15 (Use symbolic notation and…

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Q: Find  f(a), f(a + h),  and the difference quotient  f(a + h) − f(a) h,  where  h ≠ 0. f(x) = 6x3…

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Q: Consider the line with equation y = 2x + 2. This cuts the x-axis when x is equal to what value? Give…

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Q: -5x 4)Find the Taylor Series for e³* about a = 1

A: The given function is e-5x about a=1.

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Q: 2. How many terms are in the sequence? -20, -15, -10, ... 1115

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Q: (3) Find the total area of the region trapped between y = sin x and y = cos x and lines x = and x =…

A: The equation of the curves are C1: y = sin(x) C2: y = cos(x) C3: x = π4 C3: x = 214 To evaluate: The…

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A: The function for dog-years is given as , fx=10.5x ,                0≤x≤221+4x-2 ,     x&gt;2  where…

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A: Topic:- application of derivatives

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Q: Find all real values of x for which  f(x) = 0.  (Enter your answers as a comma-separated list.)…

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A: ∫x316-x2dx

Q: 22. [0.34/0.430000000000001 Points] DETAILS Let f(x) = X and consider the limits lim f(x) and lim…

A: Given, f(x)=4x3-1,

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Q: If log₂ (4x + 5) = 2, then x =

A: According to rules, I need to answer first question when multiple questions are posted

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A: Maximum value of y = 5

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Q: The unit cost, in dollars, to produce bins of cat food is $2 and the fixed cost is $11524. The…

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Q: 26. What does the alternating series test tell us about A. The series is converges absolutely. B.…

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Q: (4) Find the area of the region in the first quadrant bounded above by y = √x - 1 and y = x - 3.

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Q: -1 If cot (sin-¹ √√1-x²) = sin (tan¯'(x√6)), x ±0 then the value of x is.......

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Q: Given the graph of f(x) shown, answer the following. f(x) 4 (a) What is f-1(−1)? -2 15 10 5 5 10 -15…

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Q: Compute the average rate of change of the given function over the specified interval. f(x)=x^3,[6,7]

A: Given query is to find average rate of change for the interval [6,7].

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A: Given formula:- Value=Price -Price-scrap valueUseful Lifetime t, For 0≤t≤Useful lifetime

Q: F(W) = + [TS(W-5) + 3 (W-5) +TS(W+5) + = 1/2 [717 S(W_S) + TS(W+S) + = [TT-S (W-S) + -S(W-5) + πTS…

A: The term in the circle is wrong. I have showed the correct term which should come after simplifying.

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Q: List the ordered pairs obtained from the equation, given {-2,-1,0,1,2,3} as the domain. Graph the…

A: Given: y=-2x+2

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Q: 4 9. 54 = a¹

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