es Ous es les eButton Orations 365 Approximate the value of 22.5 O4+4 In(2) 06 O4+2 In(2) O4 +0.5 In(4)

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

Q: dy dx +²y=e*yª dx 4

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Q: The partial derivative fx(-1,0) of ƒ(x, y) = xe³ + x² + 1 is equal to −1. Select one: True False

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Q: The differential equation dy 6x + 2 da 12y² + 14y + 5 Find such a solution and then give the related…

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Q: Let f(x)=√6- x and g(x) = x² - x. Then the domain of f o g is equal to Question Help: Video Message…

A: Given- f(x)= 6-x f(g(x))= 6-x2-x f(g(x))= -x2+x+6 Domain of f(g(x))- -x2+x+6≥0 x2-x-6≤0

Q: Given that f(x)=x2+5xf(x)=x2+5x and g(x)=x−9g(x)=x-9, calculate   (a) (f∘g)(5)(f∘g)(5) (b)…

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Q: Farmer Jones and his wife, Dr. Jones, decide to build a fence on their farm. Because Dr. Jones is a…

A: Follow the procedure given below.

Q: Suppose that we know the following about functions f(x) and g(x). 5 f(x) dx = 4; ₁ 5 S.. Use this…

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Q: he method of variation of parameters to determin on of the given differential equation. y"" — y'′ =…

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Q: Divide using synthetic division. (x 2 + 15x + 54) ÷ (x + 7)

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Q: A tank that has a shape of an inverted circular cone with height 15 meters and base radius 6 meters…

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Q: Use an appropriate test to determine whether the series converges. Σ k=1 By the 9 k 12 9 this series

A: Please see the below picture for detailed solution.

Q: 1 Σ 3 k=4 √k -5k + 20 By the properties of the p-series, Limit Comparison Test, this series…

A: To find whether the series is convergent

Q: The result of the integral is equal to 4 √ = (x − 1)(x + 1) dx

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Q: Let f(x) = X x - 3 g(f(x)) = and g(x) = 4 X Find the following functions. Simplify your answers.…

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Q: At what points is the following function continuous? 5 cos 0 0+1 y = OA. The function is continuous…

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Q: Evaluate the integral: CT/2 cos² (4x) sin³ (4x) dx.

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Q: Find critical value -5x^3+15x+3

A: This question can be solved using the concept of critical points of a function.

Q: Find the derivative of y with respect to the independent variable. COS y = 10 cos ( OA. -10 COS TO…

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Q: 6 (2) Find and draw the Fourier transform of f(t) = 9+t²

A: Find and draw the Fourier transform of f(t)= 6/(9+t^2)

Q: y(y² + 1)dx + x(y² − 1)dy = 0

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Q: Sy²sin (2y) dy

A: Integration by parts.

Q: II. Anti differentiate the following. C. (ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS) (a) √ (cos r -…

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Q: Write 2x (x+1)² constants. completely in the form of partial fractions solving all the unknown + v…

A: Given problem:- Find partial fraction of 2x/(x+1)2

Q: J= Integrate da x+ +5 Select one: O A. 5 In Ix+51 + C O B. 7 In Ix+51 + C OC. 9 In Ix+51 + C O D. 3…

A: Let's solve given integral.

Q: Consider the function f(x)=5x2−9x7f Let F(x)F be the antiderivative of f(x)with F(1)=0 then f(x)

A: we have to find the function F(x) .

Q: A particle is moving with acceleration a(t)=30t+8a(t)=30t+8. its position at time t=0t=0 is…

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Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

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Q: Write the first five terms of the geometric sequence. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: Consider the accumulation function A(z) = Calculate A(5) Question Help: Video -1² (4t +9)dt Submit…

A: This question is related to definite integration, we will solve it using given information.

Q: A tank is is half full of oil that has a density of 900 kg/m³. Find the work W required to pump the…

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Q: Given the graph of f, find any values of x at which f' is not defined. A 44 SOU OA. x= -1, 0, 1 OB.…

A: Solve the following

Q: Find the solution of the given initial value problem 150y" + 25y"+y′ = 0, y(0) = −14, y′(0) = 10,…

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Q: Set up the definite integral required to find the area of the region between the graph of y = = x² y…

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Q: 2. f (x²-16) ²/2 dx x3

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Q: Solve the triangle. 13 B A 8 6

A: We have to solve  all parts of triangle.

Q: Get the interval and radius of conv this given power series (x - 3)" n

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Q: Find y': Oy: Oy = Oy' = O y' y cos(xy)+1 x cos(xy)-1 x cos(xy+1) y cos(xy)-1 y cos(xy)+1 x cos(xy)-1…

A: To find the value of y' for the given function.

Q: Use Newton's method to approximate a root of the equation 3x7 + 7x² + 2 = 0 as follows. Let 1 = 1 be…

A: Follow the procedure given below.

Q: Solve the initial value problem: y'(x)=√-2y(x) + 35, y(-2) = 5

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Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-8x³ +95x² +16x-194 4-9i is a zero…

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Q: 4. Find the power series representation centered at 0 for f(x) = 8x 2+x³

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Q: 8. Find the indicated limit 2X √x + 1] X lim(- X→∞0

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Q: 1 SSR (x+y)² dxdy

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Q: 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1, -1). 2. Find the…

A: Given :fx,y,z=lnxy-zx2

Q: Calculus I Evaluate lim x→1 f(x) where the graph of f(x) is.

A: Right hand limit:  the mathematical expression lim fx→a+x represents the value that the graph of the…

Q: An annular cylinder has an inside radius of r and an outside radius of r2 (see figure). Its moment…

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Q: Solve the following initial value problem: y(t) = = dy dt +0.9ty = 6t, y(0) = 1

A: Given: dydt+0.9ty=6t,      y0=1

Q: True or False: If / (x − 3)(x + 2) - then B = Select one: O True False 2 5 -dx = 3 - In(|x − 3]) +…

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Q: Let f(x, y) = domain of f is the set D = {(x, y)|x² + y² > 1}. Select one: 1 1 - x² - y² True O…

A: Given.