Find the derivative of the following function using the limit definition: z =7y2- 11/x

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: 3 Find the average rate of change of g(x) = 8x² + on the interval [-3,2] x3

A: topic -   average

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: Question The derivative of the function y = cos(xln 3) log3(sin x) is:

A: We will find the derivative. 

Q: rt%3Dr/6 t cos(2t) dt t=D0

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

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Q: Find the in ter vals onwhich Fare? (M [ncreasing and dec reaglny W concareuf and concave down and th...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)*+1 5k

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

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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 ...

A: Activity 3.2:Slope of the tangent line to the curve y=f(x) at(x0, y0) is given by dydx(x0, y0).y=4+2...

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Q: How to determine f(x) and g(x) for area between curves? So if I'm trying to figure out the area bet...

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Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round ter...

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Q: Find the derivative of y with respect to t.   y=t(ln2t)^(2)

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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: A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the s...

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Q: Y = e-5x x > 0

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Q: f(x) Find g'(3) given that f(3) = -6, f'(3) = –4 , and g(x) = %3D %3D 8 Answer:

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Q: Compute T (æ) at a = 0.9 for y = e" and use a calculator to compute the error le – T2(x)| at a = 0.5...

A: Find your answer below 

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r ...

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Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is no...

A: topic -  homogenous funtion

Q: 1 1 f(x,y) = x² - 2xy + 3x +y? %3D 1. Compute the first- and second-order partial derivatives. 2. Fi...

A: Solution is given below:

Q: Par (+a) 1.

A: Solving the problem by doing the substitution.   NOTE :: As per our Expert guidelines we are suppose...

Q: 9 cos `x sin x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

Q: Suppose that > an is an infinite series with partial sum SN = 7 – n=1 N2 10 16 What are the values o...

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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: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

A: Topic = Trigonometric ratios

Q: Using tabular integration, the integral S(x3 – 2x – 1)e¬X+1dx is equal to: (x³ + 3x2 + 4x + 3) + C 글...

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Q: Find the limits of the Follo CoS \im

A: Given query is to find the limit of the expression.

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

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Q: The Statue of Liberty is 305.5 feet high. When the angle of elevation of the sun is 50, what is the ...

A: Solved below

Q: The graph of a function f is shown below. x3 x4 x5 x2 At which of the labeled r-values is f(x) least...

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Q: Solve the boundary-value problem, if possible. (Assume the independent variable is x. If there is no...

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Q: Graph the following function. Then estimate any relative extrema. f(x) = x²(4 – x)³ Choose the corre...

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Q: Hanx sec" dx

A: As per Bartleby guideline,  only the first question has been answered. Please repost mentioning the ...

Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: Q: solve the equation 5 lim ( 3y+ 4x (37+*-) – x-3 x - 3

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Q: Use the formula for the binomial series: m(m-1).--(m-k+1) k + m(m-1) 2 (1 + x)" 1+ mx + %3! 2! k! m(...

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Q: 5 In(x); xo = 1

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Q: Find dY at x = -1ifY zu%5V=4 3. and u= X²+ X

A: Given that y=u3+5u-4 and u=x2+x We need to find dydx at x=-1 Take y=u3+5u-4 Substitute "u"  ⇒y=(x2+x...

Q: You are given the graph of a function f defined on the indicated Interval. Find the coordinates of t...

A: Absolute Maximum of a Graph: The absolute maximum of a given graph is the point on the entire graph ...

Q: What are the removable singularities of the functions ?

A: Topic:- function

Q: Solve for a root/roots of the functions 2. x² – 3 sin x + 2 In(x + 1) = 3.5 Applying both a. Bisecti...

A: x2-3sinx+2ln(x+1)=3.5To Find: Roots of the function using bisection method and false position method...

Q: 11

A: We will find the derivative. 

Q: Let the height of an object bef(t)=t2+2t−4f(t)=t2+2t−4. What is the instantaneous rate of change of...

A: Given query is to find instantaneous rate of change of the object at t = 2.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given query is to find the general term for the sequence.

Q: A rocket is launched from the ground at an angle measuring 0.69 radians. The rocket travels in a str...

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

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Q: Use the formula for the binomial series: (1 + x)" = т(т-1) 2 2! m(m–1).-(m-k+I),k + + 1+ mx + %3D .....

A: The maclaurin series for 1+x7