How many x-intercepts does the graph of Ax) = x(x² – 9)(x² + 10) have? %3D а. 5 b. 4 с. 3 X d. 2 е. 1

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: Determine two positive numbers e and f whose product is 27 and for which the value of 4f +3e is a…

A: Product is 27 and 4f+3e is a minimum.

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

A: Given  Cx = 2.5x2+75x+25000

Q: The area of the largest rectangle that can be drawn with one side along the x-axis and two vertices…

A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

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Q: In 2009, the federal income tax T on income of x dollars (up to $82,250) was determined by the…

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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: 15, Find a) fxedx b). dx using the substitution of x- cost.

A: We have to evaluate the integrals

Q: A company estimates that its profit, P, in hundreds of dollars, is P(x) = -4x2 + 40x + 3 where x is…

A: Given:     P(x) = -4x2 + 40x + 3

Q: If k = 3, for approximately what values of x in the interval [0, 1] will the error in the quadratic…

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Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

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Q: Social animals that live in groups can spend less time scanning for predators than solitary…

A: Given: For a group of size x, the fraction of time spent scanning for predators is S(x)=2541x+1 and…

Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

A: Consider the given equation as Hz=-4z+3

Q: Find the point on the graph of y = 1x that is closest to the point (2, 0). [Hint: 2(x - 2)2 + y2 has…

A: Given: y=x Let the point closest to (2,0) be P(x,y). Distance between point P(x,y) and (2,0) is:…

Q: There is a 4 km long straight beach. At one end, there is a boat anchored at A, 3 km off the beach.…

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Q: Q1. The sum of three positive numbers is 30, find the three numbers if their product is minimum?

A: Topic- Number System

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

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Q: In order to treat a certain bacterial infection, a combination of two drugs is being tested. Studies…

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Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral.

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Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a have a…

A: Given: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a…

Q: Find the quadratic fúnction y= ax²+ bx +C whose graph pabses through the given points :(1,6),…

A: Given  The quadratic function y=ax2+bx+c and its graph is passing through the points 1,6,-1.-4  and…

Q: Determine the point(s) at which ƒ(x) = x3 - 12x has a horizontaltangent line

A: The points where the tangents are horizontal are the points at which slope is zero.That means,…

Q: What values of a and b, with a < b, minimize the value of (x* – 2r?) dr?

A: The given integral is ∫abx4-2x2 dx. Draw the graph of the function y=x4-2x2 as shown below. .

Q: Q2/ Choose the correct 4 By using fixed point method, which as the following formulas can use to get…

A: The given equation is 3xex=1 on [0,1]. To Find: Fixed point iteration rule for the above function.

Q: N(t) components per day after t days of traning where N(t)=75t/t+5 t> or = 0. Sketch the graph of N…

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Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Consider the provided question, Yes, cubic function have at least one real root (x-intercept) but…

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include…

A: The given differential equations is y′=−6x+3.

Q: 2: Show that the line equation passing through two distinct points (a1, b1) and (a2, b2) can be…

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Q: the area of the largest rectangle that can be drawn with one side along the x-axis and the two…

A: Given curve is y=e-x2. Here the curve is symmetric about origin. Consider the vertices of rectangle…

Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO

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

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Q: As a result of urbanization, the temperatures in Paris have increased. In 1891 the average daily…

A: Average temperature is calculated by the total sum of temperatures divided by number of observations

Q: Suppose that cost for a particular product is calculated using the linear equation: Cost = 25 + 3D.…

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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: f(x) = e¬x² + lIn 2 + 32×

A: Given,      f(x)=e-x2+ln2+32x

Q: In order to treat a certain bacterial infection, a combination of two drugs is being tested. Studies…

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Q: Solve the problem graphically and calculate the Z value of at the optimal solution (

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Q: ou have estimated the cost function for producing q items will be C(q) = 29400 + 16q, and %3D expect…

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Q: In(5x2 + 8) Find the slope of f (x) at (7, 1.84). Use a graphing utility and round to the nearest…

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Q: Find the equation of a line parallel to x = -8+ 2y that passes through the point (8, –2). Oy = -x –…

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Q: f. An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric…

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Q: (1, if x 2 %3D plot

A: f(x)=1, ifx&lt;01-x2if 0≤x≤2x+1if x&gt;2

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: 2. Suppose Kim can run at 8 miles per hour and swim at 2 miles per hour. As shown in the figure…

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Q: Is it true that the solution set for x ≥ 0 is placed above the y – axis?

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Q: In the article "Do Dogs Know Calculus?" the author Timothy Pennings explained how he noticed that…

A: Given: Speed on the sand = 6.2 m/s Speed on the water = 0.94 m/s To find: The distance x from C so…