Find the equations of the tangent and normal line to the following curve at an indicated points

Q: f(x,y), where x = x(r,s, t), Use a tree diagram to write out the Chain Rule for u y = y(r,s,t).

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Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (b)  ...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: -3x3 5. S V5-x8

A: topic - indefinite  integration note - as per bartleby guidelines we are supposed to solve only firs...

Q: Use a calculator to solve the following equation for 0 on the interval (0, T). 1 cot (0) Find all th...

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Q: Write your answer on a piece of paper with your name on it. Snap a picture, then upload your answer....

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Q: Find the derivative of the function by the limit process. Find an equation of the tangent line to th...

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Q: Determine whether the integral is convergent or divergent. The integral from 6 to infinity, 1/(x-5)^...

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

Q: Let S(z) = {-3z? + 5z for z 0. 3z2-2 According to the definition of the derivative, to compute f'(0...

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Q: Find the linear approximation L(x) of the function f(x) = /1 - x at a = 0. L(x) = Use L(x) to approx...

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Q: se 1 + where a and bare odd numbers. It is f(r, y) = ra + yb' %3D 0, se r +y = 0 %3D It is correct t...

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Q: Consider the power series n°x8n 43046721" Find the center and radius of convergence R. If it is infi...

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Q: 3. lim f(x) = -2, 4. lim f(x) = +00, X-2- lim, f(x) = 2 and f(2) = 0 lim 1437(x) = -0

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Q: S(x) 2 -1 2 3

A: The objective is to find f(-4).

Q: 22 Find the Maclaurin series for f(x) = 1+x 22 :? 1+x What is the Maclaurin series of

A: Given:     f(x) = 22/1+x 

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars) ar...

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Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: If F(x) = f(g(x)), where f(−1) = 5, f '(−1) = 2, f '(−3) = 3, g(−3) = −1, and g'(−3) = 6, fin...

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Q: The temperature at a point (x,y,z)(x,y,z) is given by T(x,y,z)= 1200e^(−x^(2) − 2y^(2) - z^(2)) whe...

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Q: A. ā xb = b x ā B. Jā + 5| = |a + b| C. It is possible for la + b| < [ā|

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Q: 25. | tan'x sec'x dx

A: Given query is to find integral.

Q: Use substitution to find the Taylor series at x = 0 of the function 22 sin (- x). ...

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Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: Calculate the limit or show it is nonexistent. ry²e lim (r,y)→(0,0) x² + 4y4

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Q: A 16-foot ladder leans up against the side of a building so that the foot of the ladder is 6 feet fr...

A: topic - inverse trigonometric ratios

Q: Find an exponential function of the form P(t) = Pon' that models the situation, and then find the eq...

A: topic - exponential function

Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

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Q: Find the minimum and maximum values of the function y = 2x-8x +7 on the interval [0, 5] by comparing...

A: Given that the function is        y = 2x2 - 8x + 7 on the interval [0,5] .

Q: 4- If the leng th of the edge of a cube IS Thcreasmg atarate of sem/s, hemtast is the volume of the ...

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Q: The table below gives data from a linear function. Find a formula for the function. Year, t Value of...

A: We have to find the linear function.

Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

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Q: f(x) = -2x2-2x+4 is %3D x-1

A: Follow the procedure given below.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: 13 Find the Maclaurin series for f(x) = 1+x 13 -? 1+x What is the Maclaurin series of

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Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: Use y - x(x - 5)2 and its derivative dy - 5x(x - 3)(x - 5) to find each of the following. 18 dx 18 F...

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Q: dx 3. S xVx-8 4. S-5 cos r sin 2r dr

A: ∫1x2+a2 dx =12atan-1xa+C ∫un du = un+1n+1+C

Q: the value of tan-(tan m) where m = radians? If undefined, enter Ø. your answer below:

A: Please refer to the image below

Q: A moving truck rental company charges $20.95 to rent a truck, plus $0.62 per mile. Suppose the funct...

A: Given:- A moving truck rental company charges $20.95 to rent a truck, plus 50.62 per mile. Suppose t...

Q: 32xdx

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Q: Any line perpendicular to r(t) = t+ ·

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Q: Find the equation of the plane that contains the point (3, 2, 3) and the line  x = -4 +4t, y = -3t,...

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Q: Use implicit differentiation to find and for x? + 2y2 + 3z2 = 1. əx ду

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Q: a, Compute the Laplace transform Lf(s) of the function f(x) = x for s > 0. See Exercises 88–91 in Se...

A: Given that: a. f(x)=xb. f(x)=x2eαx

Q: S(x) 3

A: The objective is to find the limit.

Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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Q: 1 1. Write the sum of the first four nonzero terms of the power series for - (Hint: 1- 2x 1 Use the ...

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Q: a/2 2. Evaluate f[(e)i-2sin(t) j+3cos(1)k]dt

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Q: 6x+5x-1 lim X--1 7x-2

A: Topic = Limits