(b) Complete the table for y=-x + 8x - 7, including all integral values of x such that 0SxS8. This information can be used to sketch a graph of the equation X y=-x+8x -7 1 3 4 8.

Q: The region between the graphs of f(x)=x^2+3 and g(x)=−x+5 has ____________area square units.

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−(6/7x) and the line…

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Q: f(x) = −x2 + 6x − 12 y-intercept(x, y)=

A:

Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A: Given:   C(x) = 32,000+60x and R(x) = 130x-0.001x^2

Q: Find the oblique asymptote of 2z2-9z+15 f (x)= I-5 Section 3.4 O y = 2x + 1 y = 2x-19 O y = 2x- 9 O…

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Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

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Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

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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 the area of a triangle bounded by the y axis, the line f(x) = 5 – -x, and the line…

A: Given data:     The expression of the first equation of the line is: f(x)=5-2x/3. The second…

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=9−27xf(x)=9-27x, and the line…

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

A: This question is based on transformation of graph.

Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=9−2/5x, and the line perpendicular…

A: fx=9-25x Comparing with fx=mx+c, we get m=slope=-25c=y-intercept=9 Therefore the slope of a line…

Q: Describe how you could use the graph of f(x) = 2" to obtain a decimal approximation for V2.

A: y=2x

Q: where y1 = e* is one of the functions in the fundamental solution set. - %3D xy" + (2-2x)y' +(x- 2)y…

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

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Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

A:

Q: The slope of the line tangent to the graph of f(x) = 15 – 3a2 at the point z = -8 %3D 48 96 O 12 O…

A: Solution is given below : Answer: 48

Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

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Q: f(x) = (x – 3)^2 (3x – 1) Identify the maximum number of turning points.

A: The given function is  f(x)=x-323x-1  We have to identify the maximum number of turning points.

Q: Determine the equation of the vertical trace of the function g(x,y)=-x^2-y^2+2x+4y-1 corresponding…

A: To find equation of vertical trace we need to substitute value of variable in the given equation of…

Q: Find the absolute extrema of h(x)=3x÷2 on {-2,3}.

A: H(x) is the straight line so absolute extrema will be at ends on domain

Q: The table shows projections for the female population of a country (in millions). Year 2015 2040 181…

A: a. If x=0 corresponds to the year 2000. Then, for 2015, x=15 and for 2040, x=40 and for 2050, x=50…

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: Determine the maximum r-values of r-7cos4e. 8- 0. * 3x 3x e= 0, e= 0, .

A:

Q: The function f(x) = 12 – 6x* has an absolute maximum value of 0 and this occurs at æ equals

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Q: Determine the quadratic function of the form f(x) = a(x – h)² + k whose graph is given on the right.…

A: Consider quadratic function of the form               f(x) = a(x-h)² + k

Q: If the x-intercepts on the graph of y= f (x) are integral, what are the x-intercepts of the graph of…

A:

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

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: Find the equilibrium point for a product d(x)=40-4X and S(x)=13+ 2X . Round only final answers to…

A:

Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: Sketch the graphs of the following cubic functions, showing x-axis intercepts  a y = −(2 − x)(x +…

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

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: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

A: The graph of region bounded by curves y=3x-x^2 and x-axis is

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 at which the line f(x) = 2x – 3 intersects the line g(x) = 5x – 6. %3D

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Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

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Q: The region between the graphs of f(x) = x² + 3 and g(x) = x + 9 has area square units.

A: SOLUTION-

Q: at the one-dimensional and n are constants.

A:

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Consider the following. 2 X- 3 x² - 3 x (a) Find the points of intersection of the curves. (x, y) -…

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Q: Find the extrema of f(x,y) = -2x² + y taken on the graph of x + y? = 0.

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Q: Suppose that the graph of x = f(y) lies to the left of the y-axis. Is f(y) dy positive or negative?

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Q: Find the ex act Tength of the graph of flx) = Ix3 t xT . over the interval [, 3] 12

A: Given that f(x)=x312+1x At x=1, f(x)=112+1=1312 At x=3, f(3)=2712+13=94+13=27+412=3112 The length…

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

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Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.