Q. Consider the function f(x) = 8(x - 5)2/³. For this function there are two important intervals: (-∞, A) and (A, ∞) where A is a critical number. Find A For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (-∞, A): (A, ∞0):

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A: We have to solve the step 3. Which says that the x-coordinate of the vertex is 4. Use that value in…

Q: Given [³F(x) f(x) dx = 19 and (a) ſº f(x) dx. (b) fºot ff f(x) 5 f(x) dx. 5 c) f³ F(x 5 (c) f(x) dx.…

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: 79. n = 1 81. 80. (1-(-1)")) n = 1 12 n+2 Σ n=1 (n + 1)(n + 2) (Hint: Use a partial fraction 91 92

A: The series, ∑n=1∞anp converges iff p>1 and for any a>0

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A: Use the basic principle of integration by parts.

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A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

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A: Given that Amount invested is 7000 and rate of interest is 6%.

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A: NOTE: Refresh your page if you can't see any equations. .

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A: The answer is given below

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Q: Use the Mean Value Theorem and find all points 0<c<2 such that ƒ(2) —ƒ (0) =ƒ'(c) · (2-0) : ƒ(x) =…

A: See this solution in below.

Q: (iii) lim x → 0 16+ x - √16 x

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A: Given  A=10000 r=0.045 t=4 A = Pert is the formula for continuous compounding.

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A: Given function:- fx,y=x2y Let gx,y=4x2+9y2-36

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Q: Find the indefinite integral. (Use C for the constant of integration.)      x4(5x5 + 6)3 dx

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A: we need to find the polar coordinates

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A: Given:- f'' (x) = x6 - 4x4 + x + 1

Q: 2) Given the following: f(2)=5, f(5)= 7, f'(2) = a, and f'(5) = b b) What is (f¹)'(5)? Show work.

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Q: Determine whether the mean value Theorem can be applied to f on the closed interval [a,b]. If they…

A: Determine whether the mean value theorem can be applied to fx on the closed interval a, b. If the…

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A: Given query is to find the Indicated angle

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Q: 5. Find the value of the instantaneous rate of change for each of the following functions.  (6 marks…

A: 5) a) Given:    gx=x2+7x , x=2 Rate of change of g at x=2 is given by g'2      g'x=ddxx2+7x…

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A: To find the points on the sphere x2+y2+z2=82 where fx, y, z=8x+3y+3z has its maximum and minimum…

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Q: h(x, y) = (x²-y)i + (y²-x) j r(u) = 5 cos(u)i + 3 sin(u) j «€ [0,2 π]

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Q: ollowing differential equation dy y + dx X 11 = ex

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Q: Differential equations method: constant coefficients a) y" + 6y' +9y = 0

A: according to bartleby guideline we do only first part of multiple  a)  y''+6y'+9=0let d dx=D…

Q: 1 =(x) dx = =(x)dx = | 2 3 4 5 6 00 7 8 q

A: Topic:- application of integration

Q: 4. Central conics with center at the origin and vertices on the coordinate axes.

A: NOTE: As per our guidelines, I have solved 4th problem. If you want solution of other, kindly post…

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