Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and convex section. For what values of x is it concave? For what values of x is it convex? Sketch its graph.

Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

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Q: A. Evaluate the following integrals. dx 1. 5+x2 dx V4-9x2 dx 3. x V16x2–25 dx 4. x2+4x+13 2.

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Q: A F(s) = S + 5 1 B F(s) = s2 + 25 120 F(s): s6 S + 5 (s + 5)2 D F(s) +

A: We have to find Laplace

Q: What is a total weight of 7 basketball that weight 22 ounces each

A: Given each basketball weight is 22 ounces

Q: x+9x+20x 4. lim x-3+ x2+x-12 (3x+1)2-(3x-1)2 5. lim x+0 1+3x tan(3x) 6. lim X0 2x2+5x

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Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: 2. Find the absolute maximum and minimum values of the function f (x) = - on the closed interval -2…

A: We need to find absolute max and min value in given interval.

Q: Find Ay for the given values of x1 and x2. 3x-7 :X= 2, Ax = 0.1 X-1

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Q: V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin 'x on the interval…

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Q: y = (1+) - (1+)*

A: We have to find dy/dx for the given function.

Q: To begin evaluating S sin*(x) · cos³(x)dx, express a. sin*x to (sin²x)²and use the identity sin²x…

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Q: A. Evaluate the following integrals. dx 1. 5+x2

A: The objective is to evaluate the integral.

Q: Relation 1 Relation 2 Domain Range Domain Range 1 sky --2 pencil door 9. -5 sun 8. O Function O Not…

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Q: Verify the identity by following the steps below. sin(x)cot(z) cos(x) 1) Write the left-hand side in…

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Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

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Q: Jcos'xsinx dx 2.

A: (2). Given: I=∫cos3xsinxdx   ...1   We know that, the Power rule; ∫xndx=xn+1n+1+C ; n≠-1

Q: 1) Sketch the curve. a) r=-2 sin O Show All Work

A: Here we have to sketch the given curve.

Q: Write an equation of the plane with normal vector n= (2,8, -4) passing through the point (3,-9,-5)…

A: Vector equation of plane is used.

Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

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Q: Write the system of equations that corresponds to the augmented matrix. Use xx, yy, and zz for the…

A: Refrence Example: System of equations into augmented matrix

Q: Directions: Choose the letter of the correct answer. Write the letter that corresponds to the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

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Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: 3. S: (х2+2)2 dx

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Q: x =r +1, y=r -1 c) Find an equation of the tangent to the curve at the point corresponding to t = 1.…

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Q: Suppose there is no known formula for g(x) but we know that g (2) = - 1anc; g^ prime (x)= sqrt x^ 2…

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Q: Find the equation of the tangent line to the curve at the given point. yA = 16x° at (1,2) %3D ...…

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Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 43, find…

A: Given query is to find the total revenue function.

Q: Consider the function 70 - 3 f(x) = 22 — 2х — 63 Find the vertical asymptotes of f(x). Separate…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The given function is: h(p)=p-1p2+2 To find the derivative of the function using the quotient rule:…

Q: Calculate the derivative of the function. HINT [See Example 1(d).] f(x) = |-9x + 8| f '(x) =

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Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – in [-1,4] is: 4.5, 4…

A: We have to find out the maximum and minimum value

Q: The area of a circle increases at a rate of 6 cm2/s. a. How fast is the radius changing when the…

A: Given that the area of a circle increases at a rate of 6 cm2/s .

Q: The critical point of the function f(x) = a – 6x? + 16x + 13 is - (1, –4) (-2,4) (2,4) (-2, –4)

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Q: Se° cosh@de

A: We have to find the integral

Q: If f(x, y) 3x+7y af then is given by: (3x–7y) 21y (За — 7у)? 21y (3x–7y)² - 42y (За — 7у)2 42y…

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Q: Find the maximum and minimum values of x + y subject to the constraint x - 10x +y - 8y = 0. What is…

A: x2+y2 subject to the constraints x2-10x+y2-8y=0

Q: 4. 4. | cotx csc*xdx

A: We have to find the integral

Q: If g(t) = 2t* + 3t2 - 5 find g(0) = a'(0)

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Q: the

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Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm. What…

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Q: Find the limit. 6x +2 lim 13x 9 > Next Question

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Q: (g) log r+ log (13 – 3r) = 1 - (h) In (In (In r)) = 1 %3D

A: Solved below

Q: Apply the Direct Comparison Test to determine whether converg Vn3 + 1 n=2 erges.

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Q: Which of the following surfaces cannot be described by setting a spherical variable equal to a…

A: Here, note that the cartesian to spherical coordinates conversion is given by: x=ρsin ϕcos θy=ρsin…

Q: A laboratory uses 600 white mice each year for experimental purposes. It costs $4 to feed a mouse…

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Q: 1. Find an equation of the tangent line to the curve at the given point. (a) y = In(x? – 3x + 1) at…

A: Since you have posted multiple questions i can do first question (both subparts) as per our company…

Q: The vertices of quadrilateral ABCD are given as A(0, 3, 5). B(3, – 1, 17), C(7, –3, 15), and D(4, 1,…

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Q: TT Consider the region D bounded by y = cos(x), y = 8 + cos(x), and x = + 3 y y = 8+ cos(x) 8 6. 4 y…

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