df Let f (x, y) = xy3 Find the percent change in the functionf if the percent change in x is 4% and the percent change in y is 3%.

Q: Find an equation of the level curve of the function h(x, y) = 3 – x2 - y? that passes through the…

A: Given that the function is      h(x,y) = 3-x2-y2 We have to find an equation of the level curve of…

Q: Q2/ A/ plot the function Z= 3(1-x) e-x²-(y+1)² – 10(x – x³ – y5)e-x²-y² _ ! e-(x+1)²-y² where…

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Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

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

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: find the constant of variation k y varies directly as x. when x is 16, y is 20

A: Obtain the constant of variation k as follows.

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: ind the equation of line (L) that passes through the intersection point of he two functions y = v2 –…

A: According to the question, we need to find the equation of line perpendicular to the line 2x-4y=6…

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

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Q: For the function f (x) = a-5a2. (a) Evaluate the average rate of change from r = -2 to r 1 (b) What…

A: Given, The function fx=x3-5x2 We have to solve for part a and b

Q: Does y' = −4(y − 5) have a solution that tends to∞as t →∞?

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Q: What is the average rate of change of the function f(t) = t² - 7t between t = and t = -4? -10 -14…

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Q: c) In which unit direction does the graph of z=f(x, y) have its steepest decline at the point (2,3),…

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Q: Examine the function f(x, y) =-3x-4y+15x - 16y + 6 for relative extrema.

A: Here we have to find relative maximum.  The solution is in both 1st and second steps.

Q: D. FIND THE SLOPE AT TGE POINTS INDICATED y= x2 – 5x + 4 1. @ (1,0) 2. у 3 @ (2, %) (x²+ 4)

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Q: For function f (x, y) y? x2+1 Find the maximum rate of decrease of f at the point (1, 2)

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Q: df If f is the linear function f = 5x – 9, what is the value of dx

A: The given function is f=5x-9

Q: 4. What is the range of the function y = 2(5)*? %D 1) y 0 3) ys0 4) y20 How do you know?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

Q: If f(x) is the slope of a trail at a distance of x miles from the start of the trail, what…

A: Given that f(x) is the slope of a trail at a distance of x miles from the start of the trail.

Q: Given the function g(x) =- + 6x + 12, determine the average rate of change of the function over the…

A: Giveng(x)= -x2+6x+12    and -3≤x≤5

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

A: Given revenue function is R(x)=427-x3+54x2+1150x-400, 0≤x≤25 Revenue = Quality × Price Let, y be the…

Q: C = 36Vx – 16 + 120 Find the marginal cost C' when x=4.

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Q: For the function y df-1 f(x) = a? – x + 2, x > 0.5, find dy y=10 (f-1)'(10).

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Q: d²y 2. Determine of the function y = dx2 x²cos (x)

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Q: Find the linear function C=​f(F) that gives the reading on the Celsius temperature scale…

A: the solution is given below

Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:

Q: What is the slope of the function? f(x) = x² +xy – y² = 5 at (1,1)? A. 3/2 B. No slope C. -3/2

A: we have to find the slope of the function . Given : f(x) =x2+xy-y2=5 at (1,1).

Q: df For the function y = f(x) = x² – 3x – 3, x > 1.5, find dy y=12 (f-1)'(12) =

A: Given  y=fx=x2-3x-3; x≥1.5

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

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Q: Use the implicit to find the slope dx of the given function y2 - x3 = 41 at (2,-7)

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Q: Find the local extreme values of the function: f(x,y) = x² + y? - 6y + 5

A: We need to find the local extreme values of the function f(x, y)=x2+y2-6y+5. Here,      ∂f∂x=2x…

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is 9 given…

A: The rate of change of the value of a function with respect to a variable is equal to the…

Q: Given the function f(x) = -x² – 7x + 19, determine the average rate of change of the function over…

A: Given function is: fx=-x2-7x+19 And the given interval is: -9≤x≤3 At x=-9:…

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

A:

Q: df If f is the linear function f = 7 – 6x, what is the value of ? dx

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Q: Determine the interval(s) on which the rate of change of the function will be positive. * y G1125,…

A: Rate of change of function is positive means slope is positive or in others terms ; interval in…

Q: Let f be the linear function  f(x) = −6x + 7. a) wha is The rate of change of f ? b)and what is The…

A: f(x) = −6x + 7 We need a) what is The rate of change of f(x)? b)what is The graph of f and slope and…

Q: What is the range of the function y = 8cos(x-30°) –2? (A) {y]y e R} (B) {yl-2 sys 8,y e R} (C)…

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Q: Find the constant of variation k. y varies directly as x and when, x = 9, y = 18

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Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: If R is percent of maximum response and x dose in mg, the dose-response curve for a drug is 100…

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Q: Given the function f(x) = -x² – 7x + 15, determine the average rate of change of the function over…

A: Given, fx=-x2-7x+15 over the interval -9≤x≤3 To find the average rate of change.

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

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Q: Let f be the linear function f(xr) = -5x + 7. (a) The rate of change of f is (b) The graph of f is a…

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Q: W) = 3 = 1, x2= 3

A: Given: f(x)=43x-1; x1=1, x2=3

Q: Aki's Bicycle Designs gas determined that when x hundred bicycles are built, the average cost per…

A: Consider the given average cost per bicycle is  Cx=0.5x2-0.5x+7.024 where C(x) is in hundreds of…

Q: Given the function f(x) =-2x +3x-7, calculate the average rate of change on the interval [1, 1+h].

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Q: Find the average cost function if cost and revenue are given by C(x) = 142 + 5.4x and R(x) = 8x -…

A: Given :

Q: tổ approximate the change in profit corresponding to an increase in sales (or production) of one…

A: Given that: P=-0.1x3+400x-60, x=50and dx=∆x=1

Q: Given the function g(x) = -x2 – 3x +5, determine the average rate of change of the function over the…

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