Use the distance formula to find those points whose x coordinates are either -4 or 4 and whose distance from the origin is 5.

Q: Use sigma notation to write the Taylor series about = xo for the function. In x; xo k =

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Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f (t)=

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Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the na...

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Q: Determine the volume of the solid obtained by rotating the region bounded by y= 2x2 and y = x³ about...

A: Let's find. 

Q: Given the curve in rectangular coordinates 36 = 1 16 Find the parametric equations given that whent ...

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Q: 4. Guided Proof: Consider the function f(r) = tan(r), and remember that tan(r) = sinz You will deriv...

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Q: The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into co...

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Q: Use logarithmic differentiation to find the derivative of the function y = 8x"("), wherer (x) = 5x ....

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Q: This integral represents the volume of a solid. Describe the solid. [(4 + cos(x))2 - 42] dx The inte...

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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: An+1 -to determine if the sequence is strictly increasing or strictly decreasing. Use the ratio 1 5n...

A:   The given series is n5n+7n=1∞ Let the sequence  an=n5n+7. Now, an+1=n+15n+1+7.  

Q: x" – 2x' + x = et x(0) = 1 ; x'(0) = 0

A: solution given below

Q: 8. . cos*xsinºx dx.

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Q: How much work is required to lift a 900-kg satellite to an altitude of 3· 106 m above the surface of...

A: This question can be solved using the concept of change of gravitational potential energy.

Q: Consider the curve y = V 2x – x² where 0 < x < 2. -

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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: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

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Q: (b) Given that = 3 in steps of 0.2, given that y = 4 at r = 2. dy = x+Vy. Use Euler's Modified Metho...

A: Given y'=x+yy(2)=4   , y(3)=?       h=0.2  modiefied euler method is yn+1=yn+hfxn+h2 , yn+h2f(xn ,yn...

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

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

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Q: Question 2 of 9 Which of the following functions is continuous on all values of x? Select the correc...

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

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t  

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate (in cm²/s) is the area of the ...

A: We know that the area of the square is: A=b2 Where; b is the side of the square.   The Power law: d...

Q: Determine whether the series converges. Σ 1 k=1 2k – 1 The series converges. The series diverges.

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = T0 and then find the nth Taylo...

A: The given function 5x; x0=-1

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

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Q: 8 구 6 5 4 10 -9 -8 -7 -6 -5 -4 -3 -2 2 -4 -6- -10- Find the parametric equations for the graph shown...

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Q: 1. Let E be the solid triangle in R³ whose corners are the points (1,0,0), (0, 1, 0) and (0,0, 2). C...

A: We have to compute the integral.

Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

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

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Q: Atmospheric

A: We will find the height of the mountain. 

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

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Q: Find the domain of the function H(x) = 2x +3/x3-4x Solve the following (i) |10 - 3x | 13.

A: The given function,  H(x)=2x+3x3-4x Note:    Multiple questions are given, we are answer only one qu...

Q: Find the maxamin s in flectlon Points and the in ter Vals on which the function inerease,decrease co...

A: follow the solution which is mentioned in step 2.

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

A: topic - integration 

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

A: limx→0x2extan2x

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: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 6 sin t y(t) = 3 – cost (a...

A: Let's find.

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

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

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Q: k(k +7)

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Q: Given f''(x)=7x+6 and f'(−1)=−1 and f(−1)=1.   Find f'(x)=    and find f(3)=

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Q: A taxi company charges for rides according to the following. The cost for every ride starts at $3.50...

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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: 1. S sin’y (2 – 3 cos y)°dy

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Q: JA 1 J 40. f(x) x'+3x + 7

A: Given query is to find the interval where function is increasing and decreasing.

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 :f(x)=exx0=7