Determine the zero for the function h(x) = 3*9 %3D -

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Q: The parent function f(x)= Jx is compressed vertically %3D by a factor of 1/4, and translated 6 units…

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Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .0614t , where t is the…

A: The explanation of the solution as follows:

Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

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Q: y = e2=²-x %3D

A: Solve the differential

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A: Given, a parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Let the…

Q: Find the area of a triangle bounded by the y-axis, the line f(x)=10−2x, and the line perpendicular…

A: y=10-2x here coefficient of x is -2 so the slope of the line is m=-2 and the perpendicular line…

Q: find all possible functions with the givenderivative. y' = 1 - 1/x2

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

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Q: The space vehicles are supplied power from nuclear energy derived from radioactive isotopes. The…

A: Let's find.

Q: which shows the function f(x)=7x after a vertical translation down 4 units

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Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

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Q: find all possible functions with the givenderivative. y' = 5 + 1/x2

A:

Q: Find the zero of the linear function  f(x)= x+4

A: fx=x+4

Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

Q: find and sketch the domain for each function ƒ(x, y) = 1/{ln (4 - x2 - y2)}

A: We have to find the domain and graph of given function fx,y=1ln4-x2-y2

Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

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Q: The cube root parent function y = Vx has been transformed a) 2.

A: given graph

Q: Find the maximum revenue for the revenue function  R(x) = 355x − 0.9x2.  (Round your answer to the…

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Q: Graph the functions in excercise

A: Given function, y=x-13-1

Q: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

Q: 1. f() 3 2х + 3

A:

Q: Even though housing prices have been declining in many parts of the​ country, in​ Lara's…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The given equation is Ct=8e-0.4t-e-0.6t. Equate the derivative of C to zero as follows:…

Q: find all possible functions with the givenderivative. y' = 2x - 1

A: Given y'=2x-1 that is  dydx=2x-1 Integrating with respect to x, ⇒y=x2-x+C Where C is the constant of…

Q: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

Q: Find the values of p where demand is elastic. x = 324 — 2р

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

A: Given: Calculation:

Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

A: Given function is Px=5x+30x2-2.5x3 for 0≤x≤6. Compute the derivative. P'x=5x+30x2-2.5x3'…

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: The annual amount of energy produced in a country from dry natural gas (in tnillion cubic feet) can…

A: Given function is gt=15.621.041t. Where t =10 represent year 2010. (a) Obtain the amount of dry…

Q: Differentiate the function. y = In(12 + t – t31)

A: We have to find derivative

Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.  (Round your answer to the…

A: To find:   maximum revenue for the revenue function    R(x) = 372x − 0.7x2 for maximum revenue , we…

Q: The length of a rectargle is 3 inches lorger than 4 times the width (x). Which is the arealy…

A: The length of rectangle is 3 inches longer than 4 times the width.

Q: The graph of f(x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

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Q: 2 (b). y = (x – 3) VT. Determine the intervals of decrease and increase of the function

A:

Q: find all possible functions with the givenderivative. y' = 4x - 1/√x

A: Giveny'=4x-1x  To Find: All possible function with the above derivative

Q: The weekly cost of producing x electric drills is given by the function C(x)=2400+ 28x+0.25x².

A: Note : As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

Q: g(t)=15.18(1.047)t​,

A: gt=15.181.047t The year 2010 corresponds to t=10.

Q: Pick the equation that matches the graph below |– x^ Vx 1 O = Vx + 1

A: Given query is to find the equation of the graph.

Q: What is the parent function for h = 1.34√l? ________________________ How has it been transformed…

A: Given: The function hl=1.34l, To find: The parent function and its type of transformation.

Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

A:

Q: Find the intervals of increase and decrease  for the function.   f(x)= ln(lnx-4)

A: Simple increasing and decreasing problem.....

Q: find the maximum revenue for the function R(x)=356-0.9x^2

A:

Q: Let L(x) be the linearization of the cube root function at x=64. When using L(x) to approximate the…

A: The linearization L(x) for tge function f(x) at x =a is given as L(x) = f'(a) (x-a) + f(a)

Q: Use the graph of the transformation of the square root function to find a formula for the function.…

A: Here in the given question, we have to find the graph of the given function.   the graph of the…

Q: The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the…

A: Rewrite the given function as Y=1000x-x2. Compare the above function with the quadratic function…

Q: Find the maximum revenue for the revenue function R(x) = 385x-0.6x^2. (Round your answer to the…

A: Given, Rx = 385x -0.6x2   We have to find the maximum revenue  for the revenue function R(x).

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Let C be the concentration of the antibiotic in μg/mL t hours after the antibiotic is taken. Given…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.