17. lim n 10n + 12 = 1 #0 n-00

Q: 1- 2x Prove that lim = -1 using the e, d definition of a limit. 5

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Q: Evaluate the integrals

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Q: Algebraically determine wether the function is even odd or niether. Even problems only with steps

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Q: Evaluate each limit. (4х + 10 lim xS2 2х - 2

A: limx→24x+102x-2

Q: zoom for a better view

A: P=$4,000 , r=8%=0.08 & t=5 months=512 year   ∵1 year=12 months

Q: Find the indicated partial derivatives. f(x, y, z) = - i fy(9, 1, 7) + y + z fy(9, 1, 7) =

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Q: What is the property of the function and its inverse? Graph the two functions show that f[f-1(x)] =x...

A: Given: f(x)=1/2(x-1)

Q: 8-+4(1+5n)=-6-14

A: -8n+41+5n=-6n-14

Q: What is the limit of a quotient?

A: Limit of a quotient states that: limx→afxhx=limx→afxlim x→ahx , where limx→ahx≠0 Therefore, we can s...

Q: Evaluate lim f(x) and lim f(x) for the rational function. Then give the horizontal asymptote of f (i...

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Q: Find the degree of the polynomial. 3x2 - 5x + 4

A: 3x2-5x+4

Q: Find r'(t) and antiderivative[r(t)]dt of: a. r(t) = <2tan(t), -sec(t), sin2(t)> b. r(t) = te3t...

A: (a) Obtain the derivative of r as shown below: r't=ddt2tant,ddt-sect,ddtsin2t     =2ddttant,-ddtsect...

Q: attached

A: The given Integral is ∫85t25t2-25dt

Q: Calculus Question

A: Drawing the graph Hello. Since your question has multiple parts, we will solve first question for yo...

Q: Area of a parallelogram Find the area of the parallelogram that has two adjacent sides u and v.     ...

A: Given the two adjacent sides of a parallelogram are u=8i^+2j^-3k^ and v=2i^+4j^-4k^. Area of paralle...

Q: A projectile is launched vertically from the ground at t = 0, and its velocity in flight (in m>s)...

A: Given : The velocity of the projectile is  v (t) = 20-10 t.   To determine :   The position, displac...

Q: Find the limit

A: The given expression limx→013+x-13x

Q: Let y = [f(x)]3 and suppose that f'(1) = 4 and dx = 10 for x = 1. Find f(1)

A: Consider y=f(x)3  

Q: For all non-zero real numbers x +0 and y 7 0, define a function f by 1 f (x, y) = 1 1 lim For each f...

A: Given, the function                          We have to find the limit x and y tend to 0 and simult...

Q: QUESTION 1 Which of the following are properties of the reciprocal function f(x) = - (Select all tha...

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Q: Find polar coordinates of the point whose rectangular coordinates are (-2, 0).

A: x, y=-2, 0⇒x=-2 & y=0

Q: Sketch the graph of an example of a function thatsatisfies all of the given conditions.

A: Given: i limx→0fx=1ii f0=−1iii limx→3−fx=−2iv limx→3+fx=2v f3=1 To Sketch: Graph of a function that ...

Q: Find the first partial derivatives of the function. w = In(x + 9y + 2z) aw dx dw ду dw dz Need Help?...

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Q: question is in picture below

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Q: c2-

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Q: Fill in the blank/s: True or false - Some polynomial functions of degree 2 or higher have breaks in ...

A: We need to Fill in the blank/s: True or false Some polynomial functions of degree 2 or higher have b...

Q: Find:

A: Given,              limx→34x2

Q: Derivative rules Compute the following derivative.

A: ddtt2(i⏜+2i⏜-2t k⏜.(eti⏜+2 et j⏜-3 e-tk⏜))

Q: Calculus Question

A: Rt=25.395e-0.984t+5.42   14≤t≤6 a). To find the height, integrate the rate of growth function with r...

Q: Use vectors to determine whether the points are collinear. (0, −2, −5), (3, 4, 4), (2, 2, 1)

A: A(0, −2, −5), B(3, 4, 4) & C(2, 2, 1) be the given points. Now vector joining the points A and B...

Q: A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.2x + 7400, 0...

A: Given:   C=0.2x+7400,  0≤x≤50,000             R=110,00068,000x-x2 ,     0≤x≤50,000

Q: Consider the function g(w) = 3ln(w) - w for w > 0

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Q: Solve the exponential equation 5ex = 23. Express the solution set in terms of natural logarithms or ...

A: The given exponential equation 5ex = 23

Q: A. Find the arc length of the curve c(t) = (x(t),y(t)) = (sin(3t), cos(3t)) for 0 les or equal to t ...

A: Given the curve we need to find the arc length in the interval 0 les or equal to t and less or equal...

Q: A rectangle's length L(t) and width w(t) (measured in inches) are varying in time (?, in minutes). D...

A: A rectangle's length L(t) and width W(t) (measured in inches) are varying in time. Area of rectangle...

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Q: zoom for a better view

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Q: Tangency question It is easily verified that the graphs of y = 1.1x and y = x have two points of int...

A: Given that y=1.1x and y=x have two point of intersection. y=2x and y=x  have no point of intersectio...

Q: find the unique solution of the second-orderinitial value problem. y" + 6y' + 5y = 0, y(0) = 0, y'(0...

A: Given: y''+6y'+5y=0y(0)=0y'(0)=3

Q: Consider the following points P and Q. a. Find PQ and state your answer in two forms: (a, b, c) and ...

A: We have given two points P0,0,2 and Q-2,4,0.  

Q: Use the properties of logarithms to expand the logarithmic expression.          ln xy/z

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Q: Solve the initial value problems for r as a vectorfunction of t. Differential equation: dr/dt = -t i...

A: given: drdt=-ti-tj-tk r(0)=i+2j+3k

Q: Calculus Question

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Q: Determine the first four terms of the Maclaurin series for sin 2x (a) by using the definition of Mac...

A: (a) Calculate the derivative for f(x) = sin(2x) and the the value for the derivatives till 8th order...

Q: Calculate the derivative #65

A: