Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line ...

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Q: 8. A parallelogram ABCD has vertices A(1, –2,6), B(3, –3, 12), and C(6, –2, 1). a) Determine the coo...

A: The diagonals of a parallelogram will bisect each other. So the mid point of the two diagonals will ...

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −6 such tha...

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Q: Given that the height, s(t), (in feet) of a free-falling object is given by the formula: s(t) = -16t...

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Q: Question 6 Find the derivative of the function y = 8ln(cos 2x)+ 5tan? (3x) Write the value of y' (0)...

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Q: Solve the given equation. (Enter your ans 2 cos?(0) – cos(0) – 1 = 0

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Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

A: Given query is to write the expression in Polar form.

Q: VT(y – 3) where 1< y < 2.

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

Q: Find the radius of convergence and the interval of convergence. 2* k=0

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Q: 4 + sin(n) n2 00

A: The given series,         ∑n=1∞4+sin(n)n2

Q: Give the domain of t(x) = V-1- x in interval notation. (-0,1) Hint: Remember that, when we are worki...

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Q: Given the curve in rectangular coordinates x² + 4x + y? – 8y = – 11 Find the parametric equations gi...

A: parametric equation of circle

Q: Write the first five terms of the sequence, give the exact answer: +00 In +1Sm-1 Determine whether t...

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Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

A: We can solve the given problem by using the Pythagorean theorem and the derivatives.

Q: Let f(x)=x^3−9x. Using Rolle's Theorem, what are all the values c in the interval [-3, 3] such that...

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Q: Compute the work required to stretch a spring from 7 to 13 cm past equilibrium, assuming that the sp...

A: Given query is to find the the work required.

Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 101nt y(t) = Vi (a) Cartes...

A: We need to eliminate parameter and find range for a and y.

Q: Test the series for convergence or divergence using the Alternating Series Test. E(-1)"- + 5 n=1 Ide...

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Q: Can you explain how to find the derivative of a rational power with the power rule as well as how to...

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Q: n + 3 n- 1

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

Q: In a study during the 1970's, it was found that one model of legislative turnover in the country A p...

A: We have to find the continuously serving members.

Q: A. Find the derivatives of the following functions: 1. f(x) = (-x - 5)* 2. f(x) = (-x² - 4)-2

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Q: liminate the parameter to find a Cartesian equation of the curve. =(t) = - 3 + 2 cos t (t) = 2 sin t...

A: Topic:- function

Q: Where:(25 degrees)

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Q: 9. Given the vector ū =[-2,3,–4] a) Draw the vector. b) Determine a unit vector collinear with ū. y

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = –4, f'(0) = 13, f"(0) = 14,...

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Q: Assume that a rectangle with sides x and y is changing with time. Let y = 2x and x(t)=t^2 What is t...

A: Given query is to find the rate of change of area.

Q: One measure of living standards in country A is given by the following formula. L(t) = 5 + 4 e 0.16t...

A: Given: One measure of living standards in country A is given by the following formula.L(t)=5+4e0.16t...

Q: a. What is the horizontal distance between anchor 1 and the base of the antenna? feet Preview b. Wha...

A: For solving this, 1st change radian to degree. Then apply trigonometric relation. 

Q: ,2 30. lim x In x

A: Topic = Limits

Q: Quotient Rule Differentiation Give 3 examples with a solution and final answer. Make sure it is uni...

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Q: Determine whether the alternating series converges. k + 1 E(- 1)*+1. 3k + 1 k=1 O The series diverge...

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Q: Select all vectors parallel to the vector (1, –3, 5). O (2, –6, 10) O(-1,3,6) - 15 ? 5 )

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

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Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 - 2...

Q: Find the radius of convergence and the interval of convergence. (x – 3)*

A: Solution is written in below steps.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k + 7 k(k +...

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Q: 15 10 5 -6 -5 -4 -2 1 1 23 4 56 -5 -10 -15 termine the equation of the polynomial, f(z), of minimum ...

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Q: From a window, the angle of elevation of the top of a flagpole is 25, and the angle of depression of...

A: upper triangle make 25' with top of flagpole so now using trigonometry use tan25 = (flagpole length ...

Q: A force of 15.2 pounds makes an angle of 30 with the horizontal. Find the horizontal component of th...

A: Given force is 15.2 pounds Given angle is 30° Find the horizontal component of the force.

Q: Find up ifr=V ands=16420 Find dr and s=16¢ê2ot

A: Solving the problem by finding the solution of the derivative.

Q: c) Determine if y=x tan (x) satisfy dy _ y _ y sec?(r) = 0 when yLu-0=0

A: Put value in equation for satisfied

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

A: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

Q: 15 10 -6 -5 -4 -2 12 3 4 5 6 -5 10 -15 Determine the equation of the polynomial, f(2), of minimum de...

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Q: I'm currently not understanding how you would do this problem.

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Q: 1. Given: az = 12, a3 = 24 Find: ao =? а. 2 b. 4 с. 3 d. 5 2. Given: a, = 16, a, = 1024 Find: a, =? ...

A: 1)  a2=12 , a3=24    Since the terms are in geometric progression    ⇒a3a2=a2a1=a1a0=rconsider a3a2=...

Q: If f(t)=2t+sin(t) describes the length of an oscillating spring in m/s, what is the instantaneous ra...

A: Solution is written in below steps.

Q: y = /x+ /x

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

Q: 00 4n + 15-n Untitled n = 1 5.5 5.5 Upda Determine whether the geometric series is convergent or div...

A: Topic:- sequence and series

Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

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