PI - Find the domain and range of the Pollowing functions a- fx) =1-V* b- fx)= /5x+10 2. x+3 :- GLt)= t2-16 ィー x-9

Q: If f(x, y) = 64 - 8x2 - y2 , find fx(-4, –1) and fy(-4, -1) and interpret these numbers as slopes.

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Q: Suppose that the monthly revenue in thousands of dollars, for the sale of x hundred unit of an…

A: Given:- R = 40x2e-0.4x+30 Suppose that the monthly revenue in thousands of dollars, for the sale of…

Q: Describe {x : x2 + 2x < 3} as an interval. Hint: Plot y = x2 + 2x − 3.

A: Solution:                           The inequality x2 + 2x < 3 is equivalent to x2 + 2x -3…

Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

A: Given function f(p)=-50p2+1600p-11000 , where p is the price per shirt and f(p) is monthly profit…

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: Let f(x)=3(x+2)(x+3). What are the coordinates of the vertex?

A: X coordinate of the vertex=-b/2a Y coordinate of the vertex=putting value of x coordinate in f(x).

Q: t is known that the total cost function incurred by a company is expressed by C = Q3 - 118Q2 + 2630Q…

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Q: x2-5х-6 y = (х+3) (х-3)

A: y=x2-5x-6x+3x-3 We have to find the values of x at which the given y is discontinuous.

Q: Determine the roots of the function f(x) = (5²x – 6)² – (5²× – 6) – 12. - -

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Q: y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx a

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Q: Q2. Maximise f = 34x, +29.x, +32.x, subjected to: 8x, +2.x, + x, < 54 3x, +8x, +2x, <59 * +x, +5x, <…

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Q: Suppose that f is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

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Q: What is the difference between the maximum and minimum of the quantity (x2y2)/25 where x and y are…

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Q: Shows traces intercepte af + 37 + 2=0.

A: The objective is to trace x2+y2+z2+3z+2=0     ...... (1)

Q: of Find (8, - 2) if f(x.y) = 6x? + 4xy - 8y? + 4x -8y - 8.

A: f(x,y)=6x2+4xy-8y2+4x-8y-8

Q: Determine the slope 3(x2+y2)2=100xy at the point (3,1)

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Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: Calculate R4 (right endpoints) and L4 (left endpoints) for f(x) = 8x2 + 2x + 1 on (0, 2]-

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Q: Suppose that f is a linear function with slope 4 and that f(4) = 4. Find the equation for f. (Use x…

A: Given : Suppose that f is a linear function with slope 4 and that f(4) = 4.

Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: What are the graphs of the constant functions x = x0, y = y0, and z = z0 in the rectangular…

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Q: Graph and label 2 points for eac 53.) f(x) =2 (x+2 if x< if x20 %3D

A: The given function is f(x)=x+2if x&lt;02x≥0   To graph: The given function f(x) and label any two…

Q: Find the interval in which the function given by h(x)= 4x – 6x? - 72x + 30 is decreasing. A. (- ∞, -…

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Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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

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Q: what is the vertical assumption of x2-2x-3?

A: We have given,

Q: find x and y intercept for y=square rood of 2x-1

A: given: y=2x-1

Q: f(x) = 5x3 +17x2 – 14x – 8

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Q: If -y3 – 4y + a² – 5x: -y? then find at the point (3, –1). %3D

A: In this question we need to find a derivative of the given function at the point (3, -1 )

Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

A: Linear programming, graphical method

Q: Find the point on the line y = 2x that is closest to the point (5, 2).

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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: 1. Find the intercepts of the function. f(x)=x*+2x–15 а. X+10 b. y-- х-5

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Q: Find the point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

Q: What is the axis of symmetry for f(x) = 2x² – 4x + 5? %3D Ox=-2 Ox = -1 Ox = 1 Ox= 2

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Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

A: Given equation is   m(x)=2x2-7x+9 We have to find the absolute maximum and minimum of the given…

Q: Determine its vertex and axis of symmetry    f(x) = 3 (x +1)^2 - 6

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Q: Find the point on the line 3x-4y-1=0 which are at a distance of 5 units from the point (3,2)

A: To Find: The point on the line 3x-4y-1=0 which are at a distance of 5 units from 3,2. Concept:…

Q: Is the relation y = (x + 3) - (3x + 2) linear or quadratic? %3D quadratic linear

A: Solution

Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

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Q: The point on the line y= 2x+3 that is closest to the point (4,2) is (a,b). Then 5b – 20a= O a. 2 O…

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Q: Find the point at which the line f(x) = - 3x +8 intersects the line g(x) = -5z + 16 %3D %3D

A: Given f(x)=-3x+8 g(x)=-5x+16

Q: Identify the x-intercept of the function. 3) 5x - 2y--6 B) C) (-6, 0) E) (3, 0) D) (5,0)

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Q: If f(x) = 6 + 2x 5a2, find f'(- 1). %3D Question Help: DVideo MMessage instructor Add Work Submit…

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Q: Differentiate the function. y= [(2x^2+4x+3)(x-9)]^2

A: Use the chain rule and power rule of derivative and simplify.

Q: Find the points of discontinuity for 3(х+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х — х2 b) f(x): 9— х2 -

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Q: where does the of inffection point y=x%3x°+2x-3? Occur

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