Find a parametric representation for each of the following surfaces: (a) 36(x-1)² +25,y² +9(z+2)² = 36 (ellipsoidal surface)

Q: For the binomial series: (1+x)" = 1+ mx + m(m-1) 2! 1 + E m(m-1) k=1 8. %3D laurin series for V1 + x...

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Q: Use the distance formula to find those points whose x coordinates are either -4 or 4 and whose dista...

A: Distance formula for the two points (x1,y1) and x2,y2is(x2-x1)2+(y2-y1)2let (x1,y1)=0,0    and   (x2...

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: The given series is: ∑k=1∞k!k8 Let, ak=k!k8; k≥1

Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = t² + 5 y(t) = 40 – 8t (a) ...

A: We have to solve the given question

Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: (Note that you can click on the graph to get a larger version of it, and that it may be useful to pr...

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Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface. T...

A: According to the figure, we have

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ k! k = 1 Identify a...

A: topic- sequence and series  

Q: Write (1-az2-bz)/(1+bz) as a product of linear factors.

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Q: A set of data with a correlation coefficient of -0.15 has a a) strong negative linear correlation c)...

A: As we know It is a statistical measure of the strength of the relationship between the relative move...

Q: answer

A: We can find the derivative of the fucntion F(x) which will give f(x) and then match the columns. 

Q: Determine whether the series converges. k 'In(k + 9) The series converges. O The series diverges.

A: Given query is to find series converges or diverges.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)*+1 5k

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Q: A particle is moving with acceleration a(t) = 6t + 16. its position at time t = 0 is s(0) = 15 and i...

A: Given: a(t)=6t+16             v(0)=1             s(0)=15we know that v(t)=∫a(t)dt                   ...

Q: Solution of the given differential equation. Assume dy + 30y = 12; dt -30 When y 30t dy !3! dt Thus,...

A: We will find the solution for the given differential equation. 

Q: ollowing functions: b) y = (cos x)Vx*

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Q: B In Problems 31-40, find the intervals on which the graph off is concave upward, the intervals on w...

A: Find your answer below 

Q: UQuestion 2| Differentiate each of the following functions with respect to x a) y = 3x b) f(x) = +5x...

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Q: Y zo when X-0 -h sin TRX

A: topic - integration 

Q: What is the value of? df where xez+1 da (0), f(x) = %3D 1+e-z Write your answer as an integer or as ...

A: topic - derivative of a function

Q: f(r) Find g(3) given that f(3) = -6, f"(3) = –4 , and g(x) = %3D 8 Answer: 5

A: Given g(x) = f(x)xf(3) = -6f'(3) = -4 

Q: 2. Given: a1 16, а4 1024 Find: az =? а. 12 b. 18 с. 36 d. 64

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Q: Answer the following questions for the function f(x) = - 8x - 36x +240x – 11. a. Find formulas for f...

A:  Given that fx=-8x3-36x2+240x-11To find : f' x,f'' xSolution :a  .fx=-8x3-36x2+240x-11f' x=-24x2-72x...

Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

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Q: find asymo tote s of the following cerves then graph them X-1 X?(X-2)

A: Solution: f(x)=x-1x2(x-2) vertical asymptotes Take the denominator and compare it to 0

Q: du formula answer 24 +2 (2x-1)"(Ax + 2)""

A: Given: I=∫24x+22x-133x+23dx  ...1   We know that; The Product rule: f·g'=f'·g+f·g' The Power rule: ∫...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given:

Q: A)Find the area of the region y=tanx , y=2sinx, B) Find the volume of the frustam of a pyramid with ...

A: For C reupload it according to bartleby guidelines

Q: Q3) Evaluate the following integrals: sec(tan-1x). tan³ (tan-1 x) A) y = S dx 1+x2

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Q: dx O arcsin(x' ) + C O arctan(x*) + C 8 O arcsin(x³ ) + C O arctan(x') + C O arcsin(x ) + C

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: Answer the questions for the function f(x) = - 3x + 3x2 - x a. Find formulas for f' (x) and f'(x). f...

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

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

Q: 1. Given: a2 = 12, a3 = 24 Find: ao =? a. 2 b. 4 с. 3 d.

A: Topic:- sequence and series

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) ta...

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Q: general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor eq...

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Q: The point P (2,1) lies on the ellipse 5æ²+ 6y? = c. Determine the value of c and write the point-slo...

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Q: Q3) Find the limit for the following function by using L'Hopital's Rule: x2. e* lim x→0 tan2 x

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Q: Atmospheric

A: We will find the height of the mountain. 

Q: 5. 2r2+xy2=1 *Use implicit differentiation.

A: We have to find implicot differentiation

Q: Graph the following function. Then estimate any relative extrema. (x) = x° (2 - 3x)3 Choose the corr...

A: Given that fx=x2 2-3x3Solution if we have to find relative extremum then f'x=0 and solve . if f'x +v...

Q: The graph of a function f is shown below. x3 x4 x5 x2 At which of the labeled r-values is f(x) least...

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Q: obtain the Maclaurin series for V1+x.

A: We need to find the Maclaurin series for 1+x9

Q: Determine whether the series converges. k 2 In(k + 3) k=1 O The series diverges. O The series conver...

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Q: graph the folloring f un Ction %3D

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Q: Use the formula for the binomial series: m(m-1)..(m-k+1), (1 + x)" = 1+ mx + m(m-1)2 2! ... m(m-1).....

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Q: 5x4 dx x5-3 S4 cos (-3x + 2) dx [ 4cot 5x csc25x dx

A: You can solve these integral problems by using the method of substitution.

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given, ...

Q: nd the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about = zo and then find the nth Taylor po...

A: Topic:- calculus

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 5+ 2" 1....

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