Determine whether the series converges; if so, find its sum. If the series diverges, indicate that with the checkbox. NOTE: Enter the exact answer as improper fraction if necessary. 15 14 14k 15k k=1

Q: Solve the differential equation by variation of parameters. y" - y = cosh x y(x) II

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Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line. ...

A: topic - derivative of a function and point of horizontal tangent line

Q: - (つチ:O47unyzut C. the 91-で Letc yintercepts, pUO'gt 3tUl-人 the horizontal osymptotes, DUコ ちさ

A: Let's find. 

Q: 13: 3. y = V(4x + 3)3

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Q: IV. Write the Laplace Transforms Given f(t) Laplace Transforms f(t) = t3 – 4t2 + 5

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 6. A function is defined by f(x) = Asin(Bx) + C, -n < x ST, where A, B, CE Z. The following diagram ...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask ...

Q: y = e2x+1

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Q: Let f be a differentiable function such that f (0) = 5.420 and f' (x) = vsin?x + x. What is the valu...

A: Let's find. 

Q: Consider the equation below. 16x2 + y? + 16z2 - 8y – 160z + 400 = 0 Reduce the equation to one of th...

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Q: dy (x+2)² x² - 4 2y dx'x -4

A: find the solution of given differential equation. dydx+2yx2-4=x+22x2-4

Q: 9. Reduce the following equation to one of the standard forms, classify the surface, then sketch the...

A: General equation of an ellipsoid is given by, (x-p)²/a² +(y-q)²/b² +(z-r)²/c²= 1

Q: Find the derivatives of the following exponential and logarithmic functions

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Q: From a point A the angle of elevation of a mountain is 13.7°, and from a point B, directly behind A,...

A: Given query is to find the height of the mountain.

Q: y = tan-x +1

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Q: ad b and e such that for all r and y, z = x² + bxy + cy² dz dr dy dz ad b such that for all r and y,...

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Q: A solid wooden object tumed on a lathe has a length of 50 cm and diameters (measured in cm) shown in...

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Q: 13. y = e* Sin-1x + Sin-'x] O c. e* a. b. b. e* [ Sin-x] d. e*- + Sin 'x]

A: use formula of differentiation of products of two function 

Q: Which of the following is equivalent to 24 f /4- da O none of these • 12 f(1 -cos 0) dº O 24 f (1 - ...

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Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z, s...

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Q: Evaluate: J(7x3 + 4x²)dx A None of the given choices 7x4 4x3 B + C 4 3 21x4 +8x3 + C 7x3 4x2 D + C 3...

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Q: y' – 5y = x²e* – xe5x |

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: For each of the following, state whether the equation is ordinary or partial, linear or nonlinear, a...

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Q: Find the equation of the tangent line and normal line to the following curves at the indicated point...

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Q: Calculate the indefinite integral 6dy 25 –9y2 -

A: Given: ∫6dy25-9y2

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A: This question is related to limits,  we will solve it using given information 

Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: Consider the equation below. x2 + 9y – 9z? = 0 Reduce the equation to one of the standard forms. Cla...

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Q: This situation below applies to the next four problems A bacterial colony is cultivated in a petri d...

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Q: f(t) = e-5t

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 (9x + y) dx - xdy =0

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Q: 18. Sketch a graph of a function that satisfies the following conditions • The domain of f(x) is [–5...

A: We draw the graph step by step . For the graph we use different colours which represents the various...

Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

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Q: Evaluate: sin 1 (cos ( ) O sin-(cos () - O sin-(cos ()- O sin (cos ()-- 4. O sin (cos ()) = -

A: All trigonometry ratios  change at π2 and 3π2. In third Quadrant , tangent and cotangent are positiv...

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

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Q: Let f be the function given by f (x) = sin(2x) cos(1 +x). What is the average value of fon the close...

A: Given function f(x)=sin(2x) cos(1+x)       ; 1≤x≤3 use the formula 2 sin A cos B = sin(A+B)+sin(A-B)

Q: The slope of the tangent line to the parabola y 3x2 + 2x + 6 at the point (5, 91) is: The equation o...

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Q: d²y dy +y=1²-2t +3 4- dt? dt

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Q: C. Without a table of values and without graphing f(x), give the values of the following limits. 21-...

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Q: Hello, I don't understand the equation may someone help me out, may you also write the work and answ...

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Q: Find 6z - 5/T + Type your answer without fractional or negative exponents. Use sqrt(x) forsqrt(x).

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Q: Determine whether the alternating series converges. 5ln k k k=3 O The series diverges. O The series ...

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Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with r...

A: Put x=r cosθ  and y=r sin(θ). As x,y→0,0 then r→0+. L'Hospital Rule :Suppose we have          limx→...

Q: your a ;) lim x4+メーLo メ→。 i) lim 左十 \im tメーLo X→-∞ iii) \m 4a(a+)しメー2)しメ+ム) メ→ ○

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: y = x- Sin 2x %3D

A: topic - derivative of a function

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 3 where the tangent line is horizontal. (х, у) %3...

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Q: Find the tangent line to the curve y = 2x - x2 at (2,0)

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula...

Q: Let R be the three-dimensional region described by 0<r<1, 0<0<, 0<z<1, which corresponds to a portio...

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Q: Find the equations of normal of the curve y = 2x- x'at (2, 0). a. 2x +y = 4 b. 2x - y = 2 O C. X- 2y...

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Q: Suppose f (x, y, z) =D 를+끝, P= (1,2,4). A. Find the gradient of f. Vf * i+ j+ k Note: Your answers s...

A: Given :f(x,y,z)=xy+yz, P=(1,2,4)To find :  The gradient of f and the maximum rate of change of fat t...