Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

Q: ABZ Mart sells whole-grain foods and its revenue is given by R(x) = 100 – %3D 400 x where x is the…

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Q: According to one model of bird flight, the power consumed by a pigeon flying at velocity v (in…

A: The power consumed by a pigeon at velocity (v) is given as,

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

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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: For the function y = -2+5 sin (x-2), what is the maximum value?

A: Given,Function y =-2+5sinπ12(x-2)

Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: Find the relative maximum and minimum values. =x2 + y² - 6x + 12y - 9

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Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

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Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

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Q: Find the slope of the secant line connecting the points on the graph f(x)=2h+4x-12, with the given…

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Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

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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: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum.

A: To solve the following problem

Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

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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: Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16

A: f(x,y)=12xy-x2-3y2 , subject to x+y=16

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

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Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: х-2 y = at [-1,1] x²+1

A: The given problem is to find interpolating polynomial for the given function and interval using…

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

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Q: What is the difference between the graphs of G(x, y) = x i + yj and F(x, y) = −x i + −yj?

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Q: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

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

A: The product of slope of perpendicular lines is -1  and slopes of two parallel line are equal. The…

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

A: Given: .

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Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

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Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

Q: Find a quadratic function f whose graph matches the one given.

A: Find a quadratic function f whose graph matches the one given.

Q: The degree of f(x) is [odd and the leading coefficient is negativev. There are real zeros and…

A: Consider the graph

Q: Suppose that / (3r-x²) dr=Ax³+ Bx+C, for constants A, B, C. What is the value of C if the curve…

A: The given integral ∫3x4-x2dx=Ax5+Bx3+C

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

A: Given  , Average cost per bicycle  C(x) = 0.5x2-0.5x+3.769

Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: 3.Find the coordinates of the points on the curves y =x3 -3x2-12x+10 with the gradients -2.

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Q: f(x) - x + 6x + 2 Sketch: Opens: Vertex: Equation for Axis of Symmetry:

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Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

A: Given 3x2-y2=t2 and y=tsinθ

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A: Given functions: y=2-x2y-2x+3=0 Equation of perpendicular line is, 2x-4y=6

Q: Sketch the graph of the solution and describe its behavior as t increases:  4y″ − y = 0,  y(−2) =…

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Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

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Q: c. Reflection over the x-axis and a y- intercept of 5

A: Given the attribute :

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Q: Find the y-intercept of the line tangent to y=(x' – 4x² + 8)en * at x = 2. а. -21.032 b. -2.081 с. 0…

A: Topic:- Application of Derivative  Correct option = d

Q: 9. Find a quadratic function y = ao + a1x + a2x² satisfying y(1) = 1, y(-1) = 2, and y'(1) = 2.

A: put values and make equations then solve

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

A: Consider the provided cost function.

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

A:

Q: Find the shortest distance from the origin to x2 − y2 = 1.

A: Definition used-         The shortest distance from a point to curve is the perpendicular distance…