Set up the definite integral that represents the area of ​​the region enclosed by the indicated functions and lines. You must identify the area that is asked to calculate and use formulas and theorem to obtain the area y=ex, y=e-x and x= -1  Based on the following graphs. Write in the space the numerical answer with two decimal places.

Q: Normal to flat curves a) Prove that n(t) =-g'(t)i + f' (t)i y -n(t) = g'(t)i - f'(t)j They are…

A: Given:  n(t)=-g'(t)i+f'(t)j and -n(t)=g'(t)i-f'(t)j The curve r(t) = f(t)i+g(t)j.

Q: Suppose f(x) = 7* log(x). Find: ƒ'(x) = Note: Enter In(a) In(b) for log, (a).

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Q: Sketch the region of integration and change the order of integration. rIn(x) 1 J0 f(x, y) dy dx f(x,…

A: We need to sketch the region and change order of integration.

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's 6 √° VI+ Trapezoidal…

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Q: 3. Given the function f(x) = 4x³-6x²-20x + 30 a. Factor the function completely. b. Determine the…

A: Given: f(x)=4x3-6x2-20x+30

Q: 10 ـ کر 52-25+10 دہ بانی کے ساتھ ( 5-2

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Q: In 3 - 1 lm 3 = = ln 3 why ? ; What happen to In 3-

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Q: Police use the formula: v=√/20L to estimate the speed of a car, v, in miles per hour, based on the…

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Q: A line perpendicular to another line or to a tangent line is called a normal line. Find an equation…

A: Given curve equation:- y=x2-9x

Q: Find a possible formula for the rational function whose graph appears here: I 1 I

A: We need to find a possible formula for the rational function whose graph is given below:

Q: Find the maximum of f(x,y) = 3y2 + 5xy - 3x2

A: According to question,Given Function,f(x,y) = 3y2 + 5xy - 3x2

Q: Let y = (x + sin(x))³. Find g(x) and f(a) so that y = (fog)(x), and compute the derivative using the…

A: Here f(x)= x3 g(x)= x+sinx

Q: Seatwork For ye Step y" ~ly = 0 m² -1=0 (m+1)(m-1)=0 m= 1₁ -1 Solve y" - y = 3e* f(x) = 0 Casel Yc =…

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Q: 91. A model for the surface area of a human body is given by the function S = f(w, h) =…

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Q: Factor the GCF from each expression a. 5x³(2x-1)-15x(2x - 1)³ b. -36x²(x+4)³ + 10x³(x+4)

A: Here we have to the factorization.

Q: Suppose f(x) = 7* log(x). Find: ƒ'(x) = Note: Enter In(a) In(b) for log, (a).

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Q: Suppose for a particular commodity, & = 1.1 and that currently 10,000 units are selling for $14 each…

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Q: Please help solve the follow-up question from the above question number 5. if possible then 6 as…

A: Note:- Since you asked multiple Questions, As per our policy we can solve only first question for…

Q: 4. Find dy/dx by implicit differentiation.. 3x² - xy + 3y² = x

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Q: => 3 1. Select the range of f(x) = log(x-3). All real numbers => 0 20 > 2 > −2 >0 2. Select the…

A: Domain and range of logarithmic function

Q: 6. Find the area of the region in the first quadrant which is bounded by y = 3x -8 and y=4-x a) 20/3…

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Q: Let w be a continuous function on [0, 3] with the property that 0≤ w(r) ≤ 3, for all a in [0,3].…

A: Solution: ω: [0,3] →[0 , 3] , contionous functionif ω(0)=0 or ω(3)=3 , then it's obvious.We assume…

Q: Find by implicit differentiation. dy dx 2₁,312x1² = 10

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Q: Use the sign chart for f'(x) to determine whether f has a local minimum f (x) a O C d I X = C x = b…

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Q: 2. The length of a rod is meters and the linear density of the rod at a point x meters from one end…

A: given : linear density = ( 5x- 1 ) Total mass

Q: 1. Suppose that there are 4 particles on the x-axis with masses 4, 1, 5, and 7 with coordinates 3,…

A: We know that the mathematical expression for the centre of mass can be given as…

Q: Q17 The sum of the arithmetic series: 8, 20, 32, 44,.. when n = 10 is equal to Q18 Fill in the Blank…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: parametric equations of a plane are y= 2-s+t Find the y-intercept of the |z=-5+5+ 2t ne. 2 -1 3 1 .

A: We will find the required.

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. -√x…

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Q: For what value of x does the series n=0 (x - 2)" n converge?

A: As per guidelines we can solve only first question. Please repost the other question and mentioned…

Q: 2) Consider the same region bounded by y = √x, the x-axis, and the line x = 1 as shown.

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Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

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Q: log, (log₂ (6x − 1)) = 2. -

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Q: 4. Show all steps to solve for. log, (log₂ (6x-1)) = 2.

A: (4)  log3log26x-1=2if  logxy=z than  y=xzlogxn=nlogxloga.b=loga+logb

Q: 12 Each of the four students were asked to solve a division problem. Cameron solved, 2,512 + 8 = 314…

A: we need to find who solved their equations correctly.

Q: Question 3.77 Figure out the parametric equations for the normal line to the following surface at…

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Q: Suppose you are given four points in the plane A-(-7,7), B-(-2, 6), C(2,5), and D-(4,-5). Consider a…

A: Given points: A = (-7,7) , B = (-2,-6), C = (2,5) , D = (4,-5) Graph of f(t) consists of three line…

Q: Find the tangent plane to the equation z = 4y cos(5x – 3y) at the point (3,5,20) z =

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Q: Find k so that 4x + 3 is a factor of the polynomial f(x) = 20x ^ 3 + 23x ^ 2 - 10x + k…

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Q: Date Note Evaluate S √9-x² dx (use Trigonometric substitutions)

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that Find F'(8) and G'(8). = F'(8) = G'(8) = ƒ(8)…

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Q: < Suppose that x and y are related by the given equation and use implicit differentiation to…

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Q: Find the average value of f over the given rectangle. f(x, y) = 4e₁ x + ey, R= [0, 10] × [0, 1] X…

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Q: 2. Find the second order Taylor polynomial for the function f(x, y) = x + In(x - 2y) at the point…

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Q: The volume V of a right circular cylinder is given by V=² h, where r is the radius and h is the…

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Q: Write an equation for each graph. 9) 2 4 M 10) -4 -2 16 to H4 12 +0 2 4 6 x

A: We have to Write an equation for each graph.

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 17,500 - 325p…

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Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A: Let variable be defined as x so

Q: 2. Find an equation of the tangent line to the curve at the given point. = cosx — sinx, (T, -1) y

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Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. SOLVE IN 2 DECIMAL PLACES. BOX…

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