1 Σ ΕΕΙ (k+2 )(k + 3)

Q: Evaluate the expression using the values given in the (g of)(1) 1| 5 | 11 | 12 1 15 f(x) -2 11 -5 -2...

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Q: Find all the local maxima, local minima, and saddle points of thefunctions ƒ(x, y) = x3 + y3 + 3x2 -...

A: Given that, fx,y=x3+y3+3x2-3y2-8 Find the critical points:                   fx=3x2+6x---(1)fy=3y2-6...

Q: Find the derivatives of the functions y = 20(3x - 4)1/4(3x - 4)-1/5

A: Given: y=20(3x−4)14(3x−4)−15

Q: For the following exercises, write Newton’s formula as xn+1=F(xn) for solving f(x)=0. 409.  f(x) ...

A: Given- fx=ex To write- The Newton's formula as xn+1=fxn for solving f(x)=0 Formula used- xn+1=xn-fxn...

Q: A particle moves along the x-axis with it's position at time t given by x(t)=(t-a)(t-b) where a and ...

A: Given A particle moves along the x-axis with it's position at time t is   x(t)=(t-a)(t-b)  where a a...

Q: eln(ae) = e3a (a) Find f'(x) if f(x) = x3. [Hint: a3a (b) Find g' (x) if g(x) = xsin(3x). (a) f'(x) ...

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Q: 10) Suppose that f is continuous and that f(z) dz = 0 and f(z) dz = 5. Find - 6f(x) dx . -3 -3 A) 30...

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Q: Find the derivative. Simplify where possible. g(x)  =Cos h(In x)

A: The function is g(x)=cosh (ln x). We have ddxcoshx=sinhx. To find the derivative, apply the chain ru...

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide i...

A: An area to fence is of 37.5 million square feet in a rectangular field.

Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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Q: What is 35% f 80?a. 28b. 45c. 115d. 2,800

A: find 35% of 80

Q: Please show exact work on how to solve this.

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Q: Determine if the series converges absolutely, converges, or diverges. 1) 2 (-1)n In|8n + 2 7n +1 n=1...

A: Solution :- option A)  "Diverges" is correct  By applying Alternating series test  Explanation is gi...

Q: (a) Estimate the value of                 ___________limx->-∞(√ x2 + x + 1  + x)   by graphing th...

A: Given f(x)=x2+x+1+x

Q: Determine whether the statement is true or false. diverges. If 0 sa, s b, and E b, diverges, then E ...

A: Given statement is False Counter example Series bn=1/n is divergent by p-test . And  Series an=1/n2 ...

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A:                   Given that the integral ∫-20x2ex32dxNow,I=∫-20x2ex32dxsubstitute u=x3⇒du=3x2dx⇒x2d...

Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 5 and g(x) = 0.6x. a. Describe wha...

A: The regular price of a pair of jeans is x dollars. Let f(x) = x - 5 and g(x) = 0.6x.a. Describe what...

Q: For the given functions f and g, find the requested composite function value. f(x) = |7x2 - 2x, g(x)...

A: Given : f(x) = 7x2-2xg(x) = 18x -9

Q: solve the differential equation using the substitution method. (3siny-5x)dx+2x2cotydy=0

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Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

A: Denote Centerville by CV, Springfield  by SF and Shelbyville SV Let, CV,SF and SV situated at point ...

Q: Determine whether the statement is true or false. If a, is divergent, then la,I is divergent. True F...

A: To determine whether the statement is true or false. If ∑nan is divergent, then ∑nan is divergent.

Q: Write your step by step answer.

A: The matrix is A=02-3-3108-1-1

Q: In the 3-month period November 1, 2014, through January 31, 2015, Hess Corp. (HES) stock decreased f...

A: answers So that's 160 shares of Hess corp.(HES) and 80 shares of Exxon mobil (XOM)   detailed soluti...

Q: need help

A: Consider the velocity, ft=20lnt+3t+3To  calculate  velocity  of  train  at  t=2 ,f2=20ln2+32+3=20ln5...

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the la...

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Q: Speed and arc length For the following trajectories, find the speed associated with the trajectory, ...

A: Given,  r(t) = ⟨et sin t, et cos t, et⟩, for 0 ≤ t ≤ ln 2

Q: Use Green's Theorem to evaluate integral F dr     (Check the orientation of the curve before applyin...

A: We know that By Green's theorem, line integral of F over the curve C that is oriented clockwise is e...

Q: Question 6 Given that cos(x) =š (-1"x2n (2n)! Σ for -00<x<0, then a power series of cos(x3) %3! iS: ...

A: Given: cos(x)=∑n=0∞(-1)nx2n(2n)! for -∞&lt;x&lt;∞ We have to find a power series of cos(x3)

Q: The rate of sales of bottled water in a country for the period 2007–2014 can be approximated by s(t)...

A: The rate of sales of bottled water in a country for the period 2007–2014 can be approximated by s(t)...

Q: Consider the following function. f(x) = x2/x2-81 (a) Find the critical numbers of f. (Enter your ans...

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Q: Of all rectangles with a fixed perimeter of P, which one has the maximum area? (Give the dimensions ...

A: let the length of rectangle is l and width is bthen perimeter (P)=2(l+b)sol+b=P2or l=P2-b

Q: In this problem, p is the price per unit in dollars and q is the number of units. If the weekly dema...

A: The provided function is p=20+9q. After the taxation, the supply function is equal to p=20+9q+t. The...

Q: Solve the logarithmic equation 5 ln(2x) = 20. Be sure to reject any value of x that is not in the do...

A: the given logarithmic equation is 5ln(2x)=20. we have to find the solution of the given expression c...

Q: Exercises Repeated Imaginary Roots of Auxiliary Equations Solve the equations: 1) (D² + 9)²y = 0

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Q: The marginal cost of producing the xth box of lightbulbs is 10-x/30000, and the fixed cost is $20,00...

A: Given,         The marginal cost of producing the xth box of lightbulbs is 10-x30000 , and the fixed...

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) = c...

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Q: 4. Solve the DE, = ! + 2(4), using the homogeneous method.

A: Given, dy/dx = y/x +2(y/x)3/2        .............(1) Assuming  y = vx Differenetiating y with respe...

Q: DESIGNING A GRAIN SILO-A grain silo has the shape of a right circular cylinder surmounted by a hemis...

A: Volume of silo is  V=πhr2+23πr3 Given volume is 504 pi Replace it for V  and solve for h 504π=πhr2+2...

Q: solve using synthetic division  (4x3-9x+18x2-18) divided by (x+2)

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Q: Problem 1: Which one of the following is a solution to the differential equation dy = y – 2.x dx (A)...

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Q: Find the domain of the composite function f° g. f(x) = 23, -8 g(x) = x - 7 %3! O {x |x * 0, x * 7, x...

A:    In order to find the domain the domain of f o g of x, we need to find the function f o g(x) first...

Q: Second derivatives Find d2y/dx2. 2x2 + y2 = 4

A: To findd2ydx2of 2x2+y2=4