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

Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing a...

A: This question can be solved using rate of change of physical quantities.

Q: The Differentiation to be made must be based on the following topics. - Power Rule Give 3 examples w...

A: It is required to give three examples with solution and final answer on differentiation using power ...

Q: Find the indefinite integral. 2+ 4x + 3. dx B+ 6x² + 9x + 2 Step 1 du/dx dx Let u = Begin by rewriti...

A: The given integral,       ∫x2+4x+3x3+6x2+9x+2dx

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

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Q: 6. State the quadrant bearing and true bearing of the vector shown: Quadrant Bearing 25 W + E True B...

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Q: Find y' for X= cos( sinx)

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Q: What are the removable singularities of the functions ?

A: Topic:- function

Q: Solve the inequality - 2 3 and enter your solution set in the box below using interval notation. To ...

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Q: dy Find by implicit differentiation and evaluate it at the given point. tan (3x + 8y) = x, (0,0). dy...

A: Differentiate the equation with respect to x .

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: Use the limit comparison test to determine whether the series converges Σ 7k + 5 k=1 The series

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Q: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and pa...

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Q: Evaluate: dx using 8 intervals the trapezoidal rule

A: Using trapezoidal rule to evaluate the integral.

Q: Given: (-8, 6) cote = -3/4 O 4/3

A: Find your answer below 

Q: 4xdx х2-х+1

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Q: Determine whether the sequence defined as follows has a limit. If it does, find the limit. (If an an...

A: Let {an} be a real sequence and L be a real number then limit of this sequence {an} = L iff an tends...

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: Use the formula for the binomial series: (1+x)™ = 1 + mx + x² + .… + m(m–1) m(m–1).-(m-k+1). k! + .....

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Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16 ...

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Q: uestion 1| a) Evaluate the average rate of change for each function over the given interval: i. f(x)...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Given the following graph, what is the exponential equation that relates the variables?

A: Here x = independent variable y = dependent variable k = y - intercept = ( 4.5 0.1) m/s2

Q: ub

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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Q: Determine whether the alternating series converges. 6ln k 1)* k k= 3 O The series diverges. The seri...

A: The given series is summation of (-1)k6lnk/k , k from 3 to infinity.

Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x +1 k =

A: This question is based on Taylor series Sigma notation.

Q: 2022 2. Evaluate lim,tx (1+

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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: Solve the triangle for which ZA = 30\degree, ZB = 45\degree, and a = 20. Round to the nearest whole ...

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Q: (3+2 v5)(6 - 2 V5) (4 – V5) (a) Simplify giving your answer in the form a+bV5, where d integers.

A: In this question we have to solve the following question.

Q: Activity 3.3. Find the equation of the tangent line to the curve f at the given value of x. Show and...

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Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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Q: x³ – 2x? – 4 dx x³ – 2x? 6. 13 -

A: As per Bartleby guideline,  we have answered only the 1st question, mentioned by you. Please repost ...

Q: The derivative of the function y = x(tan-'(3x))² is: y' tan (3x) 6x + (1+9x²) tan-³(3x)] tan (3x)[6x...

A: y = x(tan-(3x))2 dy/dx = (dx/dx)(tan-(3x))2 + x(2(tan-(3x))(3))/((3x)2 +1) dy/dx = tan-(3x))2 + 6x(t...

Q: Using integration by parts and taking a > 0, the integral S x In(ax)dx is equal to:

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Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

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Q: 1 1 cos³30 \cos830) sin330

A: Solution is written in below steps.

Q: The force on a particle is described by 5x³ – 5 at a point x along the x-axis. Find the work done in...

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Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

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Q: Write the first five terms of the sequence: +Do |{vn² + 10n – n}, n=1 Determine whether the sequence...

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Q: 1 S- -dx xx

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains m...

Q: f(x) = Use the definition of Taylor series to find the Taylor series (centered at c) for the functio...

A: By using the definition of Taylor series to find the Taylor series centered at c for the given funct...

Q: The Differentiation to be made must be based on the following topics. - Trigonometric Give 3 example...

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Q: Write the first five terms of the sequence, give the exact answer: +o0 n + 23 n=1 Determine whether ...

A: Given a sequence

Q: If x=sect and Y ztan t, evaluete at 1of the Following to %3D イット

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Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each si...

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Q: +00 {a,} an+1 Use the ratio to show that the given sequence {a,} is strictly increasing or strictly ...

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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: View Policies Current Attempt in Progress Use the ratio test for absolute convergence to determine w...

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Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows