Integral Calculus - Plane Area Find the area of the region between x=y2-1 and x=y+1 using a horizontal element; Set-up the integral for area using a vertical element.

Q: answers to three decimal places. Find the critical numbers of the function f(x)=-3x5 + 15x¹ +25³ +4…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 6 –…

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Q: An object moves in a vertical line such that s=-16t² + vot + 50 where So feet and vo ft/sec are the…

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Q: A farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

A: NOTE: Refresh your page if you can't see any equations. . if she plants 90 trees per acre, each tree…

Q: reference number of each value of t: 4pi/7 and -7pi/9

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Q: Find the general solution to the homogeneous differential equation d² y dy dt² dt The solution can…

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Q: (1) Find the summation of the series +++++

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Q: The vector v = ai + bj is perpendicular to the line ax + by = c. Use this fact to find an equation…

A: The answer is in step 2.

Q: The graph of y = f(x) is shown below. -2 6 Find f f(x)dx. -4 02 y 4 2 -2 -4 0 2 f(x) 4 6 x

A: Given query is to find the value of the integral.

Q: 2) Consider the function f(x) = -7x+11. Use basic formulas from Geometry to calculate the Definite…

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Q: Find the total mass of the solid region W defined by x ≥ 0, y ≥ 0, x² + y² ≤ 4, x ≤ z ≤ 29 - x (in…

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Q: Find the mass of the ball of radius 2 centered at the origin with a density f(p,q,0) = 7e¯p³. The…

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Q: Given f(x)= X-4 O[4, 12) U (12,0⁰) 0 [--4, ∞) and g(x)=√√x+4, what is the domain of f(g(x))? O(-∞,…

A: Givenf(x)=1x-4 and g(x)=x+4We need to find the domain of f[g(x)]

Q: of air per minute. Find the rate at which the radius is changing at the moment when the radius is 25…

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Q: 58. tanx cotx = secx csc x 2 cos x csc x

A: Verify the given identity  tanx- cotx = secx cosecx -2cosx cosecx

Q: Similarly, to find the slope of the secant line passing through P(−2, 4) and Q(−2.5, 3.75),…

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Q: Simplify the expression: 7 x-1 X x-1 + 3 x+1 1 x+1

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Q: Calculating First-Order Partial Derivatives In Exercises 1-22, find af/ax and af/ay. 17. f(x, y) =…

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Q: 4. Find the intersecting point of the following lines in the three-dimensional space using…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 2 and x = 5 x-intercepts…

A: Given:Vertical asymptotes:  x=2   and  x=5x-intercept:  (-2, 0)  and  (1, 0)y-intercept:  (0, 5)

Q: Let 2x² + 5xy - 3y² – 14x − 7y + 20 = 0. dy Use partial derivatives to calculate at the point (3,…

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Q: Let U = {a,b,c,d,e,f, 12, 13, 14, 15, 16, 17), X = {a,b,c,13,14,15), and Y = {b,d,f, 12,14,16}. List…

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Q: x+y=z=4 Solve the system of linear equations using Gaussian matrix x=y+z=2 (2x-y-z = -3

A: Given:

Q: Determine the following limit, using ∞ or -∞o when appropriate, or state that it does not exist. lim…

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Q: Find the values of a, y and z that correspond to the critical point of the function: f(x, y) =…

A: We can solve this as follows:

Q: Find the Jacobian J of the transformation T(u, v, w) = (-3u +5v-3w, 2u+4v+3w, 4u+v=4w) = (x, y, z).…

A: Given:- Tu,v,w=-3u+5v-3w,2u+4v+3w,4u+v-4w=x,y,z

Q: dr d.t Let A be the area of a circle with radius 7. If d.A 3, find when r = 1. dt

A: We can solve this as follows:

Q: An anonymous survey of college students was taken to determine behaviors regarding alcohol,…

A: Note:- This is having multiple sub parts and according to company we can do maximum 3 sub parts so i…

Q: Find the limit. 8 lim (x³ + x³) x →-00 (48 X

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Q: 5 The gain of an amplifier is found to be G= 20 log (10V out) The tasks are to find equations for:…

A: The solution is given below:

Q: spherical balloon is being deflated so that its radius is decreasing at a te of 2 cm/min. How…

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Q: the products revenue is R(x)=-2x^2+400x R(x) is dollars and x is units sold. the cost function is…

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Q: 3. The derivative of a function is given by f'(x) = -63x² - 12x + 18. Give 3 different functions…

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Q: You are testing the claim that the proportion of men who own cats is smaller than the proportion of…

A: Total people= 100+60=160

Q: have a horizontal tangent? X = help (numbers) f(x) = 10x² + 15x² 60x 60

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Q: Evaluate the following sums. 9 (2) Σ 3 k=1 500 (b) Σ 9 k = 1 264 (c) Σ k = 2 20

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Q: Which of the following differential equations most likely represents the given directional field? a.…

A: The answer is in step 2.

Q: Find the equation of the line tangent to the graph of f(x)=(lnx)5 at x=2. Answer in slope intercept…

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Q: Calculate the approximation M4 for the given function and interval. f(x)=3*, [1,3] (Use decimal…

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Q: (b) Ife is any angle, the value of a trigonometric function of is the same, except possibly for…

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Q: cab ride costs $1.70 plus $0.10 per tenth of a mile traveled if you use the Green Cab Company. The…

A: Given query is to find the distance when both company cost same.

Q: (xy²dy) = (y³ – x³)dx, y(1) = 2

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Q: Question 15 Textbook x = A company that produces cell phones has a cost function of C= 30x2 - 496x +…

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Q: TION -2x-8 b) ²+4 <- 6x +5 INVESTIGATING THE GRAPHS OF QUAC LINE OF SYMMETRY OPENS UP OR DOWN?…

A: We have to find the following conditions according to the given information

Q: Given z = x³ + xy¹, x = uv³ +w², y=u+vew дz dw then find: when u = 2, v = 3, w = 0

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Q: Concept check: Evaluate the following integrals: INTLŐ x² dx 2.5 NIVE

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Q: (l+h)³41 allimpro h th b) limpo Sin+h

A: Here we have to use the concept of limits

Q: Test the series below for convergence using the Root Test. n=1 4n + 1 3n+3 f(n) The limit of the…

A: Given query is to apply root test.

Q: In a figure, OABC is a parallelogram. Prove by the analytic approach that OB2+AC2=2(OA2+OC2).

A: Concept: Pythagoras theorem states that sum of the squares of perpendicular and base is equal to…

Q: The temperature T = T(x,y) in °C at point (x,y) satisfies Tx(1,7) = 4 and Ty(1,7) = − 5. If x = ³t −…

A: Given: Tx1,7=4 and Ty1,7=-5.Also, x=e3t-3 and y=7+ln t.We need to find dTdt when t=1 sec.