Find the interval in which the function given by y = 4x3 - 6x2 – 72x + 30 is decreasing. O A. (- 00,-2) O B. (- 3,2) OC ( 3, 00 ) O D. (-2,3 )

Q: Which function has a y-intercept of -2? O 3x + 2 a) fx) = 5х -1 3x + 2 O b) Ax)· 5x- 1 Oc) Ar) = 5x…

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Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

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Q: The line y= -3x+b is tangent to the function y=x3-3x2. What is the value of b? -2 -1 1 2

A: At the point of tangency the slope of the curve and that of the line should be equal. Slope of the…

Q: Find the interval where the function, -x? f(x) : * + is decreasing? O a. None O b. (0,1) c. (-00, 0)…

A: Given that: f(x)=-x27+45

Q: find the specific function values. ƒ(x, y) = x2 + xy6 ƒ(-3, -2)

A: Given function:

Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

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Q: y=6cos^2(x/4)-3

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Q: The function that has an x-intercept of -2 and a y-intercept of -2/3

A: We can find the function as below

Q: Find the point on the graph of the function that is closest to the given point. Function Point f(x)…

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Q: EX1: Draw the fowling function y=3x-5 when I-1<X<3

A: Given: The function: y=3x-5. The interval: -1&lt;x≤3. Calculation: Compute the value of y on the…

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

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Q: The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and…

A: Given :Rx=x.pxpx=414-x5x=10

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in…

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Q: Find a function r(t) that describes the line passing through P(9,2,9) and Q(3,6,5). (1) = (- 6t + 9…

A: 0&lt;t&lt;1

Q: Suppose that f is a linear function with slope -3 and that f(2) = 8. Find the equation for f. f(x) =

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Q: Determine the interval(s) nver which the function is increasing: y = 2x 4 3x? - 12r. (a) (-», -…

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Q: Find constants a, b and c such that the function f(x)= ax³ +bx²+c will have a local extremum at (4,…

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Q: For the function f(x) = x+7, what is the ordered pair for the point on the graph where x=2b plz…

A: Given f(x)=x+7      ...(1)

Q: y' = x2y2/x2+y2 ; is this function seperable or non-seperable

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Q: Find the range for the function x²+y²=4

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Q: (c) Find the x- and y-intercept(s) of the function. I a 10 5. If f(x)= x+5

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Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: Find the value of x for which the line tangent to the graph of f(x)=7/2x^2−5x+1 is parallel to the…

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Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

A: Given that: f(x)=19-4x2

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: Find the linear function f(x)=mx +b whose graph has given slope and y-intercept.  slope is 2/5 and…

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Q: Find the slope of the graph of the function at the given point. f(x) = V8 - x3, (-2, 4) f'(-2) =

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Q: f(x) = xª -4 and Perpendicular to the line x - 4y + 1= 0.

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Q: 20. Find the slope for f(x) = |x – 2| + 3 from -x' + 5x - 3 X=-3 to x-2? A. -5/5 B. 5/8 C. -8/5 D.…

A: Given that f(x)=x-2+3 and,-x2+5x-3. The formula for slope is, m=f(x1)-f(x2)x1-x2

Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: Give the interval where y is decreasing y=x²e^x

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Q: The value of shares (V) after (t) days is given by the relation V = 3t + 10vt + 167. After how many…

A: The value of shares (V) after (t) days is given by the relation V = 3t + 10√(t) + 167.

Q: Find the range of the function y =1+ x2

A: Introduction :

Q: Calculate the values of x for which the function y = -3x? + 4x + 2 is strictly decreasing.

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Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: Find the equation of the line tangent to the graph of the function at the indicated point f(x) = x?…

A: Given curve :

Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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Q: 02. What is the axis of symmetry for the function y = 2/3 13x + 9| – 2? A. x = -3 B. x = 3 C. x = -2…

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Q: Find the slope of the line that is tangent to the graph of f(x)=3x²-2 at P(-3, 25). O -3/25 O 27 O…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 5. Find the range of the function y = 7x -1 when the domain is {-1, 0, 1}

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Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: Find f(x) if f is a linear function with the slope 4 and f(4)=3. F(x)=

A: given slope of linear function m=4 And f(4)=3

Q: Match the function with its graph. f(x) = 4(x – 1)? II 4- -5- -5 -6 -3 4 -3 2 -1

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Q: interval

A: We have to find the increasing interval according to the given function