+∞ Σ n=1 2-1 √n

Q: solve for exercise 11, provide full and complete procedure

A: topic:- application of integration

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Q: If f(x)=√x + 10 and g(x) = 6 f(x) find g(x) F

A: To find out fxgx

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A: This is a problem related to distance and time calculation. Based on the general formula and concept…

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Q: & 5 im 4 32 1 -2 0-3 -4 im →-1- f(x) = f(x) = _m f(x) -1 - − 1) =

A: Topic:- calculus

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A: Given :9y''+12y'+29y=0

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

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Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

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Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 100° (x,y) =…

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

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A: Note:- Range of the function f = Domain of inverse of the function f From the given graph :- Vertex…

Q: Letter E

A: Solving letter (E)

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A: Let's find total distance traveled by the ball.

Q: When demonstrating that lim 2x + 5 = 7 with ε = 0.2, which of the following 8- x →1 values suffices?…

A: Use definition of limit of the function

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y² + 8, (2, 4) Vf(2, 4) = (No…

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Q: (1) -dr x(x + 1)

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

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Q: 5. For y = -ln(x), find the value of x where the slope is a) x = − 6 b) -In(6) d) Does Not Exist

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Q: Σ +∞ + 1 + sin2 η 10η in=1

A: Given Series,∑n = 1∞1 + sin2 n10n

Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: Determine the convergence or divergence of the series. 2 n(n+3) Step 1 Decompose to partial…

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Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: function X-1 if X<1 f(x)= 0 if 1≤X24 X-2 if X34 20 a. Graph the given b. define values where, it is…

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Q: Consider the graph of f'(x) shown below in blue. Submit your answer to this question by completing…

A: for local maxima f'(x)=0f''(x)&gt;0

Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Evaluate…

A: Calculate value of function at given points  Then calculate difference between the values of the…

Q: Solve 8 sin (7x) = 7 for the four smallest positive solutions

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A: Suppose r is the radius of the log with the area of the log is given by: A=πr2 So, we have:…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

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Q: A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $175…

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Q: Find the total differential. z = 10x4y5 dz = (No Response)

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Q: Let f(x): 10-x-² 2x 9 - if x ≤ 4 if x > 4

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y = 5 (4x-1)² X

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Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: Shown is a graph of y=f(x) a) what is the transformations In the appreciate order of how to make a…

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Q: Evaluate the following integration.

A: Let Sinx=t

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A: In the first part we will use the given conditions to make a linear equation representing the…

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Q: waluate the following integral. 2 3x dx (16+x²)²

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Q: (b) x-2º dr

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Q: Find the exact length of the polar curve. r = 0², 0≤ 0 ≤ 4π X

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

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Q: A vendor at a carnival sells cotton candy and caramel apples for $3 each. The vendor is charged $275…

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Q: Find a power series representation for the function. f(x) = F(x) = 2 ( [ n = 0 X (1 + 3x)² R= ()…

A: Given data ÷ f(x)=x1+3x2 We need to find power series representation of f(x).   Using formula…

Q: We are trying to prove the following limit. 1 Suppose that we have found a value of & such that e =…

A: According to the ε-δ definition of limits says that the limit of f(x) at x=c is L if for any ε&gt;0…

Q: A company wants to start a new clothing line. The cost to se up production is 35, 000 dollars and…

A: The solution is given below

Q: A function is given. g(x) = 7 + 1/2x;    x = 1, x = 7   (a) Determine the net change between the…

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Q: 11. A ball is thrown downward with a speed of 8 ft/s from the top of a 64-foot-tall building. After…

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