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

Q: 18. Use logarithmic differentiation to find the derivative of y with respect to the given independen...

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Q: Consider the following sequence: - {) +00 {an} 3n n=1 An+1 -to show that the given sequence {an} is ...

A: Explained below 

Q: y = /x+ /x

A: We will use algebraic techniques to find the derivative.

Q: VT(y – 3) where 1< y < 2.

A: the given curve,   x=13y y-3 where 1≤y≤2

Q: Find the derivative of the trigonometric function. Re) = e® sin(e) f (e) = -1

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Q: A large hotel chain needs to apportion 30 new surfboards for its visitors to rent among three hotels...

A: Given:   Total surfboards = 30 The distribution of surfboards is according to the number of rooms i...

Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hour...

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Q: a. When Frank initially sees the coyote, the angle of depression for his vision is 6 degrees. Draw a...

A: Frank stands at the top of a cliff. On the ground 310 feet below, frank spots a coyote.

Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an an...

A: Given query is to find the value of indicated angles.

Q: Use the formula for the binomial series: m(m-1).--(m-k+1) k + m(m-1) 2 (1 + x)" 1+ mx + %3! 2! k! m(...

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = xo and then find the nth Taylor...

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Q: 12 ソ+) X +20 x + 20 y+30 1. 1.

A: 1/12 = 1/(x+20) + 1/(y+80) 1/5 = 1/(x+20)  + 1/(y+30) now 1/12 = 1/(x+20) + 1/(y+80) in this  1/(x+2...

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

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Q: Prove that n° + 2n is divisible by 3 for all n E N. Prove by induction that if p is any real number ...

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: k(k +7)

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Q: 5. For the parametric curve z = 1- tť, y =t – ť°,t € R find: (a) the points where the tangent line i...

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Q: A cylindrical tank of radius 20 ft and height 3 ft is two-thirds filled with water. Find the work re...

A: This question can be solved using the concepts of application of integral.

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: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

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Q: Q1) Evaluate the following integral using By Parts Method: х.In(x3 + x) dx

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Q: Find the radius of convergence and the interval of convergence. 80 (x+ 6)* k=0 Radius of convergence...

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Q: For f(x)=3|x| does the Mean Value Theorem apply on the interval [-2, 2] and why?

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Q: (5-3x^2)^7 (square root 6x^2+18-12) how would this be solved using logarithmic differentiation?

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

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

A: We have to find implicot differentiation

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

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Q: Find the derivative of y with respect to t.   y=t(ln2t)^(2)

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Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: | cos* (;x) dx y =

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

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Q: Evaluate te following inte rau cos @ do sin@

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Q: Which of the following is true about horizontal asymptotes? OAll rational functions have at least on...

A: Find your answer below 

Q: Question 2 Let D1 be the solid in space that lies in the first octant x, y, z > 0, and be- tween the...

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Q: 9 cos `x sin x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

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

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Q: Find the derivative of the trigonometric function. f(t) = t° sin(t) f (t) = -1

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

Q: Select all vectors perpendicular to the vector (1,3, -5). (2, 1, 1) O (0, 5, 3) O (1, 1,3) O (4, 2, ...

A: Given query is to find the perpendicular vectors to the given vector.

Q: For the following function, a) give the coordinates of any critical points and classify each point a...

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Q: sin S S. cossx (3-2secs)

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Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...

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Q: Write the first five terms of the sequence: +00 {Vn² + 2n – n}" Determine whether the sequence conve...

A: The given sequence is {√(n2+2n) - n}.

Q: Find the max emin, nflection Points and the in ter Vals on which the function iiHereaserdecrease con...

A: Given query is to find the the key points of the function.

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: Use the Ratio Test to determine whether the series is convergent or divergent. 9ke-k k = 1 Identify ...

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Q: ub

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Q: When the linear differential equation is multiplied by an integrating factor the equation will becom...

A: Answer of given question is written in below steps.

Q: the

A: We will find the derivative. 

Q: Given A=3az +3ax -2ay, B=2ay -ax +5az, C=3ax +2az +2ay and D=-ay +3ax -2az. Find scalars a, b and c ...

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Q: Determine whether the series converges using the Ratio test. Σ 4* k8 k=1 The series

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