g(x) = v2 – 3x %3D

Q: Find the absolute extrema of the function f (x) = 30x – x² over the interval (-o, 00)

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Q: Find the average rate of change of the function f(x) = 2x² + 16x + 28 on the interval [-3, –3 + h].

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Q: Find the value of the constant k that makes the function continuous.

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: Find the intervals on which the function f(x)=x2+1x is increasing and decreasing.

A: We have to find the intervals on which the function f(x)=x2+1/x is increasing and decreasing

Q: (d) Find the interval(s) where f(x) is decreasing.

A: There are mainly two ways roughly by which a function's behavior can be obtained and first method is…

Q: (a): Find the critical points of the function f(x) = 6x? – 12x. -

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Q: Find the intervals on which the function y=xx(x>0) is increasing and decreasing.

A: We take ln on both sides of the function

Q: For f(x)=3x2 +4x+5on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with height…

A: The area of the function fx on the interval a,b using midpoints of the n rectangles is given by the…

Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

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Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: Determine the interval(s) for which f (x) = - 2x² is concave down. 12 %3D

A: For the curve y=f(x) to be concave downward,  f"(x) < 0.

Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x<54x+2c      for x≥5 we have to find the value of c…

Q: find the extrema of f(x) =2x3-6x on [0,3]

A: Given:

Q: Find f'(x) for f(x) = 3 arctan(4x² – 3) %3D

A: we use the formula f'(x) of arcton x=1/1+x^2.

Q: Find the global extrema of the function f(x)=x3−6x2−15x+100 on the interval [−3,6].

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Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: 1. Given the function f(x) = Vx5 – 3Vx², find the interval(s) of increase.

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Q: Find the value(s) of a for wh has range of all real numbers.

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Q: Find the absolute extrema of h(x)=3x÷2 on {-2,3}.

A: H(x) is the straight line so absolute extrema will be at ends on domain

Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

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Q: Find the interval where the function, f(x) = 5 V3x – 2V3x + 57 is increasing?

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Q: Find the critical point of the function f(x, y) = – 7 2x + 5x2 - 8y – 5y? |

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Q: Determine the interval(s) for which f(x) =- - 2x2 is concave down. 12

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Q: The area bounded by the curves f(x) 19x + 9 and g(x) = 19x² +9 is 3.17 square units 0.95 square…

A: Known fact: The area bounded by two curves fx  and  gx from x=a  to  x=b is given by A=∫abfx-gxdx.…

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: Find the average rate of change of the function f(x) = - 2x – 7x + 8, over the interval [-1,1]. -…

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Q: Find the absolute extreme of the function on the closed interval y = 3cosx ; [0,2π]

A: To find the absolute extreme of the given function.

Q: Find the values of a and b so that f will be differentiable at x = 3.

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Q: Find the relative extrema for f(x) = x* + 32a²

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Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

Q: If a and b are positive numbers, find the maximum value of f(x) = x°(2 - x)b on the interval 0sx <…

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Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

A: The graph of region bounded by curves y=3x-x^2 and x-axis is

Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: Find the areas below. a) Between the graph of f(x) = 50 + 3x² and x-axis over the interval [-2, 4].

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Q: A company has found that its rate of expenditure​ (in hundreds of​ dollars) on a certain type of job…

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Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Q2: By the false position method, find approximation value of the root for f (x) = ex – 2 with e…

A: Consider the given function. fx=ex-2 The false position method is defined as,…

Q: Consider the function f (x) 4 defined over the interval 3 Find the solution to 3-2x2 f(x) = 88.…

A: solve the equation for value of x.

Q: Find the intervals where the function f(x)= x^2e^3x is concave up.

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Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: Approximate the zero of f(x) = x' - x + 3 in [-2, -1] to within 0.00001. Show your work!!!

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Q: Find the point on the graph of f(x) = Vx that is closest to the point (8, 0). (х, у) -

A: