Use the result obtained in Problem 20 to find the area enclosedby f1x2 = - 5x2 + 8, the x-axis, and the lines x = - 1 andx = 1.

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 < 360°.) v = 9i + 3√3j…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: The given region is: Now use the cylindrical shell method to find the volume of the solid about the…

Q: A flat screen television is advertised as being 44 inches on its diagonal. If the TV is 20 inches…

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Q: The demand function for a product is given by p(n) = 510 - 0.18n², where p is the price in dollars…

A: Given that the demand functions for a product is given by p(n)=510-0.18n2, where p is the price in…

Q: Consider the following. √²/²5 5 cos²(e) de State the half-angle identity that can be used to…

A: We have to write the half-angle identity for Cos2θ

Q: An equation of a hyperbola is given. (y + 3)²_x² 36 64 = 1

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Q: Let I be the length of a diagonal of a rectangle whose sides have lengths and y, and assume that and…

A: Here we have to use the concept of derivatives

Q: Answer: 3 = f*f(x) dx = f(x) dx = 50, find If f is continuous and ³ ['ƒœ f(3x) dx.

A: I am attaching image so that you understand each and every step.

Q: If f(x) ƒ'(1) = 6x² + 3x + 6 -, then:

A: Topic - derivative of a function we are given ,f(x)=6x2+3x+6xWe know thatquotient…

Q: Find the gradient Vf of the function f given the differential. df = (3x² - 1) ye dx + x³e dy

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Q: Evaluate the definite integrals for a) b) S/A C) π/6 -9 cos x dx = 8 sec² 0 do = 10 csc t cott dt =

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Q: Please answer the questions with steps and correct answer

A: See this solution in below.

Q: List the first five terms of the sequence. a₁ = 5, an+ 1 al a2 a3 a 4 = = || || III = 2an +2

A: given  an+1=2an+2for a2 put n=1a1+1=2a1+2given a1=5

Q: List the first five terms of the sequence. an n a₁ a2 a3 || || || = a₁ 12, = an +1

A: NOTE: Refresh your page if you can't see any equations. . the first term is

Q: If the unit selling price p(x) and the quantity supplied x of a certain product is given by p(x) =…

A: Topic - Marginal revenue function We are given the unit selling price p(x) and quantity supplied x…

Q: Evaluate the following integrals. 1 √(x + a)(x + b) (a) / dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4. Solve the nonhomogeneous initial value problem. y(0)= 0, y'(0) = -3 y"+y' = 2 sinx,

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Q: Page 8 of 10 Question 8 Solve the differential equation. ex dy dx + 3exy = 2, x > 0 A) y = ex+e3x, x…

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Q: 16 Calculate V.v and V x v. a) OV.v= b) OV-v=- 5 yx x² + y² c) O V.v= 6 yx x² + y² 6 yx x² + y² d)…

A: I have appended the formula used in the solution part of the question

Q: Use the substitution x = 5 sect to evaluate the integral f Note: Use C for an arbitrary constant. dr…

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Q: Find a function P(x) of least possible degree, having a= 1and with the given zeros 4 and 5i.

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = 5x7 -7x5 - 5 on the…

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Q: The accompanying figure shows the graph of a function g(t) with domain 3-4, 04 and range 3-3, 04.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Use the chain rule to find First the pieces: dw dr მu მყ θω Əz dz dt dy dt dz dt Now all together:…

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Q: 3) Given that f (x) = 2x + 8 g(x) = 5x – 2 / 4 and h(x) = 2x + 6 / X Find: - i) f (-5) = ii) g…

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Q: Find the indicated trapezoid rule approximation to the following integral. 3 Sex dx using n = 8…

A: Given Integral:- ∫23e-xdx

Q: A bag contains 4 red marbles, 3 green marbles, 2 orange marble, 3 yellow marbles and 1 blue marble.…

A: Given information A bag contains 4 red marbles, 3 green marbles, 2 orange marble, 3 yellow marbles…

Q: The velocity of an object is given by Sodt Eveluate v for a = 3.7 and b = 8 Give your answer to 3…

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Q: A tumor is injected with 0.82 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

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Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F =…

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Q: a. f(x) = √√x, over the interval 0<x< 2π and has period 2 b. Sketch a graph of f(x) in the interval…

A: To sketch the given function.

Q: Kosumi puts the base of a 9-foot ladder 6 feet from the wall of his house. How far up the wall does…

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Q: Evaluate the definite integral. -3 [₁₁2+. -3 (x+3) ex²+6x+8 dx =

A: ∫exdx=ex+c∫xndx=xn+1n+1+c

Q: BOTTOM LINE What is the average velocity of a particle with velocity v(t)=4-t² ft/s from t = 1 to t…

A: NOTE: Refresh your page if you can't see any equations. . the velocity function is the given…

Q: Applications of integrals destion 30, Instructor-created question The marginal cost for a company to…

A: Topic:- application of algebra

Q: Find an equation for the line that is tangent to the curve y=5x3−5x at the point (-1,0).

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Q: If h(x) →5 as x→ 1 and k(x) → 0+ as h(x) k(x) X→ 1 ? x → 1, then what is lim L

A: solution:-Givenh(x)→5  as x→1k(x)→0+   as x→1

Q: swer: Evaluate sin(10x) cos(10x) dx.

A: ∫xndx=xn+1n+1+c∫cosxdx=sinx+c

Q: For the​ function, find the​ point(s) on the graph at which the tangent line has slope 8.   y=…

A: slope is  dydxd dx(xn)=nxn-1 given  y=-0.025x2+9x

Q: A retailer needs to purchase 12 printers. The first printer costs $54, and each additional printer…

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Q: The indefinite integral (4x – 5)e4* dx can be evaluated using integration by parts. Even though you…

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Q: irectional derivative of f(x, y) = sin(x + 2y) at the point (-5, -1) in the direction = π/4. ent of…

A: given function is   f(x,y)=sin(x+2y) then we have to find directional derivative of f(x,y) at the…

Q: Solve the initial value problem. y"+6y' +9y=0, y(0)=2, y'(0) = -5

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Q: If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then…

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Q: 8. f x² e ²³ dx

A: We will use substitute method to solve the integral

Q: dy Use implicit differentiation to determine given the equation x + y² = -2. dx dy da

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Q: Find the determinant of the matrix, if it exists. (If an answer does not exist, enter DNE.) 1 8 64…

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Q: 350 р Find the Elasticity of Demand at a price of $25 Given the demand function D(p)

A: given demand function D(p)=350p

Q: a If the nth partial sum of a series Σ n = 1 00 Σ n = 1 m 2₁ a a = = = Submit Answer (for n > 1) is…

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Q: Solve for x. Show your work, and give exact answers where possible. Otherwise, round to the nearest…

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