Prove that if (c, f(c)) is a point of inflection of the graph of f and f" exists in an open interval that contains c then f" (c)=0.

Q: sin(0) = os (0) = COS - 113 and the terminal side of is in quadrant IV.

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Q: ind the​ consumers' surplus and the​ producers' surplus at the equlibrium level for the given​…

A: p=Dx=38-0.04xp=Sx=14+0.08x

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Q: 3. Use Green's Theorem to show that to where C is the unit circle x² + y² = 1 in the…

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A: Given that the great pyramid of Giza in Egypt in 146m high and has a square base of side 230m. It is…

Q: 5. Find all points at which the function f(x) = e* equals its average value on the interval [0, 2].

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Q: Find (2x + 5y)dA where R is the parallelogram with vertices (0,0), (-3,-5), (1,-2), and (-2,-7). R…

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Q: Find the tangent plane to the equation Z= 5y cos(4x - 6y) at the point (6,4,20)

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Q: Use Descartes' Rule of Signs to determine the number of positive real zeros of the following…

A: By using Descartes' Rule of Signs to determine the number of positive real  zeros of the following…

Q: Each of the integrals or integral expressions in Exercises 38-44 represents the area of a region in…

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Q: Find a formula for the general term an (not the partial sum) of the infinite series (starting with a…

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Q: Coca Cola's net operating revenue (in billion $) for recent years can be modeled by the function (x)…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: The unit cost, in dollars, to produce bins of cat food is $18 and the fixed cost is $15990. The…

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Q: Calculate the volume of a solid obtained by rotating the region enclosed by the following function…

A: f(x)=xg(x)=x   Find intersection point x=x   x=x2   xx-1=0  x=1, x=0

Q: Find the total mass of the wire with density P (t) = 1² +213, p(x,y) = y,0 ≤t≤1 a. 1(3-√2+1) b. 3/7…

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Q: Given the power series Find da ช = n=0 xn d 2n dx (₁ 1+ = x 1+ I 2 + + + 24 n=0 by differentiating…

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Q: For the given function, determine the following if possible. If it is not possible, explain why. You…

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Q: Let h(x) = x5 + 9x4 - 2x³-9x² + 4x Determine the third derivative of h. d³h dx³ =

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Q: Calculate the work in megajoules (1 MJ = 1 x 106 J) required to pump all the water out of a full…

A: We have to find the work in megajoule

Q: 3. Find dy y¹/3(y2/3 +5)*

A: Here we will do integration with respect to y, by the method of substitution And we will substitute…

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Q: For the function f(x) = 6x² – 5x, evaluate and simplify. f(x+h)-f(x) h

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Q: Calculate the work W against gravity required to build a cylindrical column of height 7 m and radius…

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Q: Find y'= dy using implicit differentiation: dx 2 (0) 5x² + 6y² = 4 dy = dx Jx²y = 9 dy Jx b) e ³1 =…

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Q: Calculate the work W against gravity required to build a box of height 7 m and a square base of side…

A: Given a box of height 7m and a square base of side 3m out of a lightweight material of density 600…

Q: After substitution is performed, what is equivalent to ƒ²₁ æ² (æ³ +1)¹4 dæ? u¹4 [te du 3 9 [²3 3u¹4…

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Q: 11.1% W = Calculate the work W against gravity required to build a box of height 7 m and a square…

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Q: Let f(x) = x3, and compute the Riemann sum of f over the interval [8, 9], choosing the…

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Q: Find the divergence of the vector field F. F(x, y) = 6xexi - 9x²y²j

A: Given vector function is: F(x,y)={6xex,-9x2y2} We have to find divergence of F

Q: It is estimated that between the hours of 10AM and 3PM, the speed of highway traffic flowing past a…

A: find critical points

Q: The unit cost, in dollars, to produce bins of cat food is $3 and the fixed cost is $12626. The…

A: Unit cost to produce bins of cat food is:  $3Fixed Cost=$12626Price demand function is:  p(x)=335-2x

Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The marginal cost​ (dollars) of printing a poster when x posters have been printed is given by the…

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Q: Rewrite the expression in terms of the given angle's reference angle; then evaluate the result.…

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Q: Given f(x, y) = sin(x + y) where ™ = st2, y = 4s- 2t. Find fs(r(s, t), y(s, t)) = ft(r(s, t), y(s,…

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Q: Consider the sample space represented by the integer numbers 1<=S<17. State the event that…

A: Consider the sample space represented by the integer numbers 1&lt;=S&lt;17. State the event that…

Q: 16 Find the area of the region bounded by the curve y=- 2 x-2x-63 The area of the region is (Type an…

A: y=16x2-2x-63 Graph:-

Q: A function f is shown in the graph at right. The domain of the function is all real numbers except x…

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Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9x8 + 4 S (x⁹ + 4x)² 2 dx

A: ∫9x8+4x9+4x2dx

Q: Which integral would represent the area shown? 3 2 1 0 1 2 - ليا 3 4 5 6 Of(√x+1) dx Of (√x+1) dx ○…

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Q: Find the volume of liquid needed to fill a sphere of radius R to height h = h = R₁

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Q: Find tangent Points on is vertical X = + ²-3 + the horizontal tangint = vertical Fangent Curve where…

A: The equation  of curve x=t3-3t,y=t3-9

Q: -514 Let F(x) = e dt. Find the MacLaurin polynomial of degree 5 for F(x). 0.15 • Lou 0 Use this…

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Q: √√2 sint+1=0

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Q: Determine whether the following relations are reflexive, symmetric, antisymmetric and/or transitive.…

A: To determine: whether the given relations are reflexive, symmetric, antisymmetric, and/or…