Find the point on the line y = – 4x + 2 closest to the point (8, 9). - The function giving the distance between the point and the line is S = (Enter a function of x)

Q: A batter hits a baseball at a point 3 feet above ground at a velocity of 100 feet per second and an…

A: Given: f(x)=-0.0032x2+x+3 Determine the height of base ball at a distance of 300 feet.

Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

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Q: Find the average rate of change of the function on the interval specified. g(x) = 6x3 − 7  on  [−3,…

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Q: What are the values f(4) and f 0 (4)

A: Given Data: Graph: y=fx Point 1: Ax1, y1=A4, 3 Point 2: Bx2, y2=B0, 2   The value of f4 will be…

Q: 8. Two hot air balloons are traveling along the same path away from a town, beginning from different…

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 4 – 3 x, and the line…

A: Given: f(x)=4-13x If the given line is y=mx+c with slope m then the slope of a line perpendicular to…

Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: The area of a rectangular garden is 125 square feet. The garden is to be enclosed on three sides by…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the equation of the line that is tangent to the graph f(x)= 3x^3-x and perpendicular to the…

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Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60,…

A: To find the revenue function, calculate Rx=x·p, where p=-0.0005x2+60.…

Q: Find the average rate of change of the function on the interval specified. g(x) = 4x3 − 5 on [−3, 3]

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Q: find the slope of the secant line between x=−1 and x=1 on the graph of the function…

A: Given that the secant line passes between the point x=-1 and x=1 on the function f(x)=-x3-3x2-2x+1.…

Q: A long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly…

A: Solution:

Q: Match the function with its graph. I II y 1 III IV (a) f(x) = x2 ---Select--- (Б) f(x) = x3…

A: use the basic concept of function and  graph we get the match.

Q: Let P(x)=6x2+8. Estimate the slope of the tangent line of this function at the point x=6. (Give…

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Q: Find the average rate of change of the function on the interval specified. g(x) = 9x3 − 4 on [−3,…

A: Consider the following equation: gx=9x3-4 Consider the following values: a=-3b=3 Average rate of…

Q: Find two points on the line and use slope formula to find the slope of the line. Show all work.…

A: To find the two points on the line and find the slope of the line using the slope formula.

Q: determine the slope function S(x) for f(x)= lxl

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Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y…

A: Given that: y=8x2+9x-7

Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: A particle travels along a horizontal line according to the function s(t)=-3t^3-t^2+2t where t is…

A: Given , A particle travels alomg a horizontal line according to the function, St=-3t3-t2+2twhere t…

Q: 2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2…

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Q: y = V4x3 –6

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Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: A) function is defined by f(x) = {²1₂ ² if x20 if x<0 Evaluate f(0), f(1)and f(2) and sketch the…

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Q: Find the average rate of change of the function ff(x)= −1x2+2x−2 on the interval x∈ [2,5]. Average…

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line perpendicular…

A: Recall : Area of the triangle with three points x1,y1,x2,y2 and x3,y3 :            A=…

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval (3, b]. Your answer will be an…

A: Finding the average rate of a function in a given interval

Q: The revenue from the sale of x manual food processors is given by R(x) = 26x-0.2x dollars. The total…

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Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: Consider the function f(x)=2√(x)+3 on the interval [4,5]. Find the average or mean slope of the…

A: The mean slope is given by: f(5)-f(4)5-4=f(5)-f(4)1=f(5)-f(4)

Q: The revenue from the sale of x miniature blenders is given by R(x) = 50x – 0.4x2 dollars. The total…

A: Determine the interval of sale for which profit is increasing and decreasing

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

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 secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

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Q: There is a bacteria cell in a Petri dish that is reproducing at a rate of              r(t) = 2t^2+1…

A: Solution:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: The given function is f(x)=2x2 and the line is 6x-y+3=0. The objective is to obtain an equation of…

Q: Find the slope for f(x,y) = xeyat P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: We have to find slope

Q: Find the average rate of change of the function on the interval specified. g(x) = 9x3 − 3  on  [−3,…

A: I have stated the used formula in the solution.

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

A:

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

A:

Q: Find the average rate of change of f(x)=9x2−8 on the interval [4,b]. Your answer will be an…

A: Given function , f(x)=9x2-8 on the interval 4,bThe average rate of change of fx=9x2-8 is in…

Q: A particle travels along a horizontal line according to the function s(t) = -3t° +t² + 3t – 2 where…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Here we find equation of a line that is tangent to the graph fx=x2 and parallel to the line…

Q: Consider the function f(x)= 6/ +2 on the interval 1, 6). Find the average or mean slope of the…

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Q: Consumers will demand 1005 items at a price of $2.25/item. When the price per item increases to $3,…

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Q: Determine all critical points for the function. y = 4x² - 128 x

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Q: Find the equation of line (L) that passes through the intersection point of che two functions y = v2…

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