7 Find lim E n-00 k=1 n+7k

Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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Q: Given f(x) = -2x + 4 and x = 3r ln (4s). Find fr (5, 3). Give your answer correct to two decimal pla...

A: Given; f(x) = -2x + 4 and x = 3r ln (4s).

Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

A:

Q: Given f(x,y) = 5x sin(3xy).  Find fx(4,2). Give you answer correct to two decimal places.

A: fx(x,y) is partial derivative of f w.r.t x

Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the ex...

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Q: Compute the volume bounded by y = x² – 2x and 3y + 2x? – 27 = O when it is revolved around the y-axi...

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Q: Let an​ be an arithmetic progression. If a1​=4 and a2​=7, determine a11​

A: Arithmetic progression

Q: Approximate the area under the curve of f (x) = x² +3 from 0 to 4 using the Midpoint Rule with n = 4...

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Q: Sketch a graph of the equation. x + 2y + 16 = 0 10 4 石54324 45 6 789 車 No Solution -7

A: Topic:- geometry  In your answer x  intercept is not correct.  

Q: Find the centroid of the region bounded by the curves: x = 2y – y? and the y-axis A = sq. units; Cen...

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Q: Find the centroid of the solid of revolution bounded by the curves x2y = 4, x = 1, x = 4 and y= 0, r...

A: Find your answer below 

Q: Writing a Definite Integral In Exercises 1-6, write the definite integral that gives the area of the...

A: Given: let f(x)=y1 and g(x)=y2 The graph is

Q: Q1: Convert the polar function to Cartesian function in the form f(x, y) = 0? cos 0 + sin 0 r = cos²...

A:

Q: Can someone explain how (n + 1) and (n + 2) can be integers? and also how can they be bigger than 1?

A: Answer: 1:  The solution is as given below:

Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

A: Let's find. 

Q: 1. f'(x) = cosx and f(0) = 5, find f(x).

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 20j as ...

A: topic - vectors

Q: Find the derivative of the function by the limit process. PX) = x - 9x + 1

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

A: The vector component of v along b is r=v·bb2 b The vector component of v orthogonal to b is u=b-r

Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)...

A: find area using double integration

Q: Solve the differntial equation by integration x? dy + 3xy=x4

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Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

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Q: Given f(x, y) = In Vay³. What is the value of fy (1, 2)? If the answer is a fraction, write your ans...

A: Given:  fx, y=lnx2y3 To Find:  To determine the value of fy1, 2.  

Q: Let fix) be a function that is continuous on the closed interval [0, 4]. Using the information in th...

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Q: Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i+j+9k w =i+8j + 8k Find the vol...

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Q: Find an explicit formula for the following sequence. 3 15 19 where n 1 - 1' 22 4 5

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Q: 4 16+ 16y – 4y² (y2 – 4)2 3

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Q: 1. y= -x²+4 @(0,4). fly) - 3v26x-1

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: es - a? Do not use a calculator for this problem. Find the x-value where the relative maximum of u c...

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Q: QUESTION 3 Determine if the series converges or diverges. If the series converges, find its sum. If ...

A: Please refer to the image below

Q: Find the derivative of the function by the limit process. f(x) = 31 f'(x) =

A:   The given function is fx=31.

Q: The tables to the right show recent state income tax schedules for individuals and married couples. ...

A: topic - percentage

Q: We have from part (a) that f(x) = 3x- 8 x +8 r-l(x) Sketch the graph by plotting the lines of f(x) a...

A: Find your answer below 

Q: 11. Use the Shell Method to calculate the volume V of the solid obtained by rotating the region unde...

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: This is a problem related to maxima and minima of the function from the given graph. Here the genera...

Q: Find the angle of the slope for the line L1: 3X - 4Y+2 0 35 O 60 O 90 37 45 40 O 30 O

A: we have to find slope dy/dx  we have to derivate the function with respect to x 3x -4y +2 =0 3 - 4dy...

Q: Find the derivative of the function by the limit process. f(x) = x3 - 9x + 1 f'(x)

A: We know,f'(x) = limh→0 f(x+h) - f(x)h  by limit processHere,f(x) = x3 - 9x + 1So,f(x+h) = (x+h)3 - 9...

Q: Use the Lagrange multipliers method to find the maximum and minimum values of the function f(x, y) =...

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Q: Find the area of the parallelogram that has u= 2i – 2j + k and v=j+3k as adjacent sides. NOTE: Enter...

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Q: Find the average value of the function f (x) = 20 – 5x² from (0, 3). |

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Q: Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)" - n=1 converges or diverges.

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Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10 element...

A:

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4,-7). (Use symbol...

A: Topic:- application of derivatives

Q: Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the ...

A: Ashley solution is correct.

Q: 1) Use the definition of the partial derivative to find af given, əx f (x, y) = x²y + 2x + y³ %3D 2)...

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

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the equation of the tangent plane to the graph of f(x, y) = In (13x² 10y²) %3D at the point (1,...

A: Solution is written in below steps.

Q: 1. Given the function f:x → Inx. a) Find the interval on which f is increasing. b) Find the point at...

A:

Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2...

Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary ...