Given the series 10" n= an+l find the ratio an

Q: ln(2y − 25e^x) = sinh4 (πx) − tan(y − 3).  Find dy/dx.

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Q: V+12-4 3 .lim X-2 tan3x 2. lim X-0 sinax 4). lim X00 x-7x+1 x-2

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Q: f(x)| f'(x) || g(æ) g (x) -7 16 -4 4 -2 1 -1 1 8 6 2 -1 3 10 11 Assume that f(x) and g(x) are differ...

A: Given query is to find the derivative of the expression.

Q: C) Convert the equation 5x2 + 2y2 = 3z to spherical coordinates. %3D

A: Use the relation between and spherical coordinate and cartesian coordinates.

Q: y S(x) = 88 + 51lx2 - 0.5x3,

A: answer of given question is in step 2

Q: Which of the following is the derivative of f (x) = 6/a O r(2) f' (x) = %3D 3 f' (æ) = %3D O f' (x) ...

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Q: Six and one-half foot-pounds of work is required to compress a spring 6 inches from its natural leng...

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Q: 5. The velocity of a moving object, in feet per minute, is given by: v(t) = t? 7t - 7t + 10 a. What ...

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Q: Consider the points A(1, –1,2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). (a) Find the volume of the...

A: This is a problem related to vector calculation. Please find the procedure given below.

Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x3 – 3x...

A: Given problem:- Find the absolute maximum and absolute minimum of the function on the given interval...

Q: . Tell if the following infinite series converges absolutely (-1)**' 2 or conditionally En=1 5n

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Q: 2x2 (7) Let f(x) = Find the vertical x2 –1 and horizontal asymptotes of the given function. Show the...

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Q: Problem 12: Let f(x and g(x) be functions. Suppose we know that f(6) = 3, f'(6) = 1, g(6) = 2, and g...

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Q: Evaluate the definite integral. dx | 25 + (x + 4)2

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Q: solution

A: We will find a simplified integral. 

Q: ta = ci + jand b = 8i + 15j. Find c so that the angle between a and b is ound your answers to four d...

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Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

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Q: lim ( In 2x + 5) + 4 X-1

A: The given limit,       limx→-1ln 2x+5+4

Q: Assume that x = x(t) and y = y(t). Find dt using the following information. dy x² +y? = 2.92; - 2 wh...

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Q: Consider the points A(2, -3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

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Q: Assume that f(x) and g(x) are differentiable functions with values and derivatives given in the tabl...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Test I. Choose the correct answer from the given choices. If the answer cannot be found from any of ...

A: In multiple question wr are only allowed to answer the first question and in multiple sub part we ar...

Q: (a) Find the general solution to y" – 2y + 50y = 0. In your answer, use A and B to denote arbitrary ...

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Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, -7) and the vector component of v orth...

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Q: Find the number of units x that produces a maximum revenue R. R = 204x2 − 0.08x3

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

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Q: x2sinx Q4 : Find dy /dx Y = (1+x2)2V1+x

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Q: 12. Find the value of the limit: lim a. +00 b. -0 C. d. Indeterminate 13. What is the value of the l...

A: To answer the given question about limits.

Q: sin 0 Cos O tan 0 Csc 0 sec O

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Q: Identify the local extrema of f(x) = x³ – 4x² + 4x O Local Maximum of 2 at x=0 and Local Minimum of ...

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Q: 1 (a) Use the Integral Test to show that > converges. 2. n' +1 d 1 n = 0 -1 tan dx Hint: 1+x?

A: As per our guidelines, we are supposed to solve only one question.  Kindly post other questions  as ...

Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere

Q: explain

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Q: 2. Find the derivatives of the following equations: y = sin-'(1 – t) y = csc-'(x/2) CSC y = In(tan¬1...

A: Note: - Since you have posted a question with multiple sub-parts, we will solve the first three sub-...

Q: Consider the initial value problem y = sin(xt), y(4) = 1 Use Euler's Method with five steps to appro...

A: Based on the general formula of eular's method we will solve the problem. Please follow the procedur...

Q: 0.74-1 k-1

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Q: Use the &-e definition of a limit to show: lim (3- x) = -2 | x5

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Q: The population of a country will quadruple in  4 years. If its current population is  15000, what wi...

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Q: Q2 : Find d'y /dx? Y = xtan (=)

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Q: Using the partial fractions technique, the function fx)= 22x+58 can be written as a sum of partial f...

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Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will ...

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Q: Express the following number as a reduced ratio of integers. 0.32 0.32323232...

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Q: Find the critical numbers of the function. f(x) = x³ + x?

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Q: Prove by cases that 25x² + 35x is an even integer whenever 5x-7 is an integer. Note here that the va...

A: Apply the condition for 5x-7 to be an integer case by case. 

Q: The owner of the Rancho Los Feliz has 2640 yd of fencing to enclose a rectangular piece of grazing l...

A: Given problem:- The owner of the Rancho Los Feliz has 2640 yd of fencing to enclose a rectangular pi...

Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact answe...

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Q: Example 7: Determine whether the planes x- 3y + 6z = 4 and 5x+ y – z = 4 are orthogonal, parallel, o...

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Q: Find d'y /dx? Y = xtan (=)

A: d²y/dx² means we have to calculate second derivative of the function.

Q: onsider the power series 2n + 1

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Q: Sketch the region bounded by the curves e-² and In æ on the interval [e, 2e]. a. b. Find the volume ...

A: Given