Estimate the area under the graph of f(x)= (x^2) + 2x  from x = 4   to     x=8 using 4 approximating rectangles and left endpoints. Approximation =

Q: Q4.10 If k (x) 0 1 1 ° // (₁+²) 1+ 2 = 2 cosh (In(x)), then k'(x) = 01/(1-¹) 2 O cosh(x) x ()…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: шипа сотрайт lyst, ехатіть the сотоядет се д TV 2 sx dx VE

A: Given :∫0π2cosxxdx

Q: 7) 1 ƒ(x) = — - - 3² - 1 3 -6 2 Ay 18 16 14 12 10 8 61 2 2 6 x

A: Given function:- fx=13·3x-1

Q: Find the volume of the solid under 16 - x² - y² and over the circle or radius 1 in the xy-plane.…

A: Given:- The solid under 16-x2-y2 and over circle or radius 1 in xy plane

Q: 6 16

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Q: Use this data to sketch a smooth curve relating the two variables. 2) Draw rectangles on the graph…

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Q: dx 3 Assume that x = x(t) and y = y(t). Let y = x³ +3 and=5 when x = 1. dt dy Find when x = 1. dt dy…

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Q: Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval,…

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Q: Q4.9 If l(x) = ln (tanh ¹(a)), then l'(x) = 1 O (1-x²)(ln(1-x) - ln(1 + x)) 2 (1-x²) ln (1-x) -…

A: Solve by derivative

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Q: possible error of computed volume? a. increase of 4% d. b. increase of 2% 6. Two particles under…

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Q: The initial value problem modeling the number of fish in a stocked pond after t years is dy dt a)…

A: According to question,Given differential equation,dydt = 0.1 y -50

Q: Use the model to estimate the monthly inflation rate in January 2007 (t = 1).  Recall that the…

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Q: 1 (Q5.) If y = is a one-parameter family of solutions of the first-order DE (1+c₁e-2) y = y-y². Find…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A: we need to express the given parametric equations using bracket notation and also i,j and k…

Q: Find A A = OA. A Select the correct choice below and, if necessary, fill in the answer boxes to…

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Q: me average length of the outer ear for men can be modeled as f(x) = 0.89 +0.495 In x inches here x…

A: Given The average length of the outer ear for men can be modeled as f(x)=0.89+0.495In(x) inches…

Q: Find the local minimum and maximum value of f. local minimum value local maximum value

A: Given function  f( x ) = 2x3 - 15x2 + 36x - 5f'( x ) = 6x2 - 30x + 36 critical points = ( 2 , 3 )

Q: Let 3x² - 7xy + 2y²+x-12y-14=0. Use partial derivatives to calculate dy dz (-2,1) TE at the point…

A: First of all, we will differentiate then we will put the values of x and y

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: The cost c in terms of the quantities 9₁ and 92 produced of good 1 and good 2 is given by c = 200 +…

A: differential

Q: Fill in the missing values such that the final term is pulled out of the summation. Ex: 5 15 Σ; = Σ…

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Q: 8. farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: Evaluate each of the following indefinite integrals.  ∫e2xsin3xdx

A: Answer is in step 2.

Q: Fill in the missing values such that the final term is pulled out of the summation. 9 Σ i=1 = Ex 5-1…

A: To fill in the missing values such that the final term is pulled  out the summation. ∑i=19 i2=∑i=1?…

Q: Suppose that the cost function for a product is given by C(x)=0.002x³ +9x +7,443. Find the…

A: Given, C(x)=0.002x3+9x+7443

Q: In Exercises 29–58, find the minimum and maximum value of the func- tion on the given interval by…

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Q: Given the demand function D(p) = 225 - 2p², Find the Elasticity of Demand at a price of $1 At this…

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Q: Suppose that a business provides a continuous income stream with an annual rate of flow at time t…

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Q: Solve for x: 103-6-32x-2 X

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Q: Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theorem…

A: The given problem is solved below in detail.

Q: Find g[f(-2)]. f(x)=x² +4; g(x)=4x-1 g[f(-2)] = (Simplify your answer.)

A: Given: f(x)=x2+4; g(x)=4x-1

Q: The table below shows the six basic solutions to the following e-system. = 36 +5₂ = 48 2x + 3x₂ +5₁…

A: Given that , 2x1+3x2+s1       =364x1+3x3       +s2=48 and the basic solutions are   x1 x2 s1 s2…

Q: 4 The volume of a cantaloupe is approximated by V=3. The radius is growing at the rate of 0.5…

A:

Q: For each of the following, enter your answers correct to two decimal places. a. Find the area under…

A: As per our company guidelines we are supposed to answer only first question....kindly repost other…

Q: Find an equation of the plane through (7, 0, -6) that is perpendicular to the line x − 2 = t, y+3 =…

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Q: Find the limit by evaluating the derivative of a suitable function at an appropriate point. Hint:…

A: According to question,Given Limit,limh→048+h2-8+h-248h

Q: QUESTION 2 Which data set (graph A or B) shows a greater power? A B M W Ograph B Ograph A neither…

A: Please see the below answer.

Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (6,-4) + t(1,-4)…

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Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve. x…

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Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: The graph of f(x) is shown (see figure). 7x f(x)= (a) Find the following limits. L= lim f(x) = X→ 00…

A: Given: The given function is: fx=7xx2+9 The given graph is:

Q: Year 1950 1960 1970 1980 1990 Rate of change (million people per year) 27 42 59 79 96…

A: Given that , Year 1950 1960 1970 1980 1990 Rate of change (million people per year) 27 42 59 79…

Q: 1. a) Find the local linear approximation of f(x) = x³ - 4x +3 at the point where x = 3 b) Use your…

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Q: Evaluate the limit limo (e-²² + e²3 + e³¹ k.) t-0 Enter your answer in i, j, k form.

A: according to guide line we do only first part of multiple (i)  K=limt→0(e-ti→+etj→+e9tk→)

Q: n=1 ncosan ૦૬, Itn³ 3

A: Solution: ∑n=1∞πcos2(n)1+n3Apply the constant multiplication rule:=π·∑n=1∞cos2(n)1+n3

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

A: Given that  f(x) = 4x3 -6x2 -144x +3. ; [-4,5]  We find absolute minimum and maximum value.…

Q: Use the substitution y=x' to find a general solution to the given equation for d²y 2 dx² 3 dy x dx…

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Q: A food company stores grain in a hopper. The hopper is 12 feet in diameter and holds 2024.5 cubic…

A: The solution is shown below-