Q: Match the function with its graph. f(z) = – 2(x – 3)² 6+ 4 -3 -2 -1 -6 -5 -4-3 -2 -1 -6 -3 -2 3 4 5…
A: The function is given by f(x) = -2x-32
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Q: Find y as a function of t if 9y" +12y + 29y = 0,
A: 9y''+12y'+29y=0which condition y(2)=8, y'(2)=9To Find: y(t)
Q: 2) y=-5+ Vx+ 1
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Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3
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Q: Given k E R, the function f(x, y) = kx² .2 %3D [A) a minimum point, if k = 0 (B) a maximum point, if…
A: Given, fx,y=kx2+k-1y2+12xy Using second-order partial derivative, check for maxima and minima.
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Q: Q3/ Find all the local maxima, local minima, and saddle points of the function: f(x.y) = 7+ 2y² – 1
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Q: snip
A: We have given f(x)=2x2+5, g(x)=3x+a and f∘g crosses the y-axis at 23. f∘g (read as "f of g") is a…
Q: Sketch the graph of y = f (x + 2) − 1, where f (x) = x2 for −2 ≤ x ≤ 2.
A: To sketch the graph
Q: Find the natural domain and graph the function F(t) = t/|t|
A: Given,
Q: Given the function f(x) = 3x³(x – 4)²(2x + 11) 10 Sketch a possible graph of the function. 8 6. L:…
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Q: - Find all k so that the graph of y = Er2 kx - + 9 is tangent to the x-axis. 4
A: We have to find all values of k such that the graph of this function will have tangent as x axis.…
Q: Q1. Find the maximum and minimum values of f? (Using Graphical Method) f = 10x + 28y Subjected to:…
A: Consider the given function. fx,y=10x+28y And, the subject is defined as, 5x+5y≤1502y-5x≤2y-10≤7…
Q: The graph of g(x) = logs(-x) is the graph of f(x) = logsx reflected about the %3D
A: We can plot both the graphs to see thatThe blue curve represents the equation y = log5(x) and the…
Q: HW 1-Find the domain for each function : (1) f(x,y)=Vy-x-2 (2) f(x,y)= In(x²+y² -4)
A: We have to find the domain from the given functions
Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)
A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…
Q: Find the critical points of the function f(K)-7x2-14x.
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Q: Let f(x) = -0.4x² + 6x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…
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Q: 2. Sketch the graph of the function (a) f(x,y) = /x2 + y²
A: See the attachment
Q: Find all critical points of the function: f (t) = 8t3 − t2
A: If f has a local extremum (maximum or minimum) at C and if f'(c) exists, then f'(c)=0. A critical…
Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.
A: f(x)=2x2+5g(x)=3x+a
Q: let f(x) = -0.4x^2 +14x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…
A: Standard equation = ax2 + bx + c
Q: What is the graph represented by the function f(t) = t + (t - 2)u(t - 1)
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Q: A D Function "p" is in the form y = ax2 + c. If the values of "a" and "c" are both less than 0,…
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Q: 2. Begin by graphing the standard quadratic function f(x) = x² . Then use transformations of this…
A: 2. The given function, gx=-12x-22+1
Q: Q2: Find all the local maxima, tocal minima, and saddle points of the function f(x, y) = 12xy – 4x*…
A: using derivative
Q: Let f(x)=5.9x^2-4.5x. Find the equation of the secant line on the graph f(x) between x1=6 and x2=12.…
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Q: Find the domain of the function:f(t) =∛(t + 4)
A: Given function is: ft=t+43 We have to find the domain of f(t).
Q: e4z f (2) = 27 + 38 at how many points the function f (z) is discontinuous ?
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Q: The function g(x) is obtained by shifting the graph of y=x2. (a) If g(3)=36, give a possible formula…
A: If the graph shifts horizontally, then the point (3 , 36) on the graph of g must correspond to a…
Q: 3. FOR THE K(x) = ()* FUNCTION STATE THE DOMAIN, RANGE, TND BEHAVIOR X-INTERCEPT(S), AND Y-INTERCEPT…
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Q: Write a function of the form f (x) = tan (Bx-C) for the given graph. 34y 13n 4 4 4 -1 f(x) :
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Q: Q5: Find the max and min points for the function: F(x,y) = x2+xy2-4x+1
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Q: If f(x) = 3x^2 − 7 and g(x) = 2x + a, find a so that the graph off ◦ g crosses the y-axis at 68.
A: Given
Q: Find the domain of the function. s - 1 f(s) = s - 5
A: Given : fs = s-1s-5
Q: of the function. + 3y + 11
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Q: b. The graph of f(x) = V is horizontally compressed by a factor of then shifted to the left 3 units…
A: I have appended the concept used in the solution part.
Q: g(x) = −2x + 5 over the restricted domain D = [−3, 2]. Graph.
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Q: 18 Find | f(x) dx for each graph of y = f(x). (a) 20- (b) AY 20-
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Q: The quadratic function f is defined as f(x) = - (x+ 2)^2+ 3 Consider the graph of y = f(x) in the…
A: topic - graph of quadratic equations f(x) has vertex at (-2,3) and y intercept at (0,-1)
Q: Graph on a Cartesian plane the function h(x)= X-2
A: To graph the function hx=x-2
Q: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…
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Q: Use the graph of the function, f(x)%= X+8 %3D to identify the function's horizontal asymptot- X+1…
A: which option.
Q: The graph of a function y = f(x) in the xy-plane is the set of all points _______ that satisfy the…
A: Given: The graph of a function y = f(x) in the xy-plane is the set of all points _______ that…
Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).
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Q: Sketch the graph of h(t) = |t| + |t + 1|
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Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5
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Q: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16
A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2 =0.6
Q: у 1 0 1 T 1 X
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- Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at (0,1)?Find the rule of the quadratic function f (x)= a(x-h)² +k whose grapn has a vertex at (-15, 18) and passes through the point (-6, 9).
- A company found that -2p + 1000 models the number of TVs sold per month where p can be set as low as 200 or as high as 300. How can the company maximize the revenue?Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0What are the coordinates at the minimum point of f(x)= x2-4x+3?
- Maximize Z=100x1 + 150x2 Subject to 8000x1 + 4000x2 ≤ 40000 15x1 + 30x2 ≤ 200 x1, x2 ≥ 0 and Integer work using the Branch and Bound methodIf the utility or profit function for a product is: U (x) = 5,600x + 85x ^ 2-x ^ 3-200,000 dollars, will selling how many items, x, result in a maximum profit? The maximum profit.Find a solution of by fixed point method for f(x)=x^3+x-1=0 ?
- The total daily profit (in thousands of pesos) of a certain food company for the sale of x boxes of buko pie is given by the profit function P(x)=-0.001x^3+0.1x^2+3x-300 , where x is greater than or equal to 0 but less than or equal to 30. Determine the number of boxes of buko pie to be produced in order for the company to realize a maximum profit.A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x) = 15000 − 125x + 0.025x 2 . If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit?The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is the y-intercept of the graph of f?