1. Determine the following using the graph of f provided below. If the value is infinite, specify o or – 0o. If an answ does not exist, explain why. -3 lim f(x) c. lim x-12f(x) d. lim f(x) b. lim f(x) a. lim f] d f. dx f(x)dx h. Average value of on [–4, – 1] g. f(x)dx е. 1--7+ dx i. List and classify critical points of f as relative maxima, minima, or neither.

Q: Use implicit differentiation to find an equation for the tangent line to the curve at the given…

A: We can solve as follows

Q: d²y Solve the ivp differential equation: dx² +y = e2*; y(0) = 0, y'(0) = { %3|

A: Given d2ydx2 + y = e2x;  y(0)=0,  y'(0)=25

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A:

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A:

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A: The given function is: f(x)=sin x To find the linear approximation of it close to 0.

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A:

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: answer is in next step

Q: Consider the inequalities below. Describe two differences and one similarity between the graphs.…

A: We have to describe two differences and one similarity between the graphs.

Q: 2 – 7x dz 23 Evaluate the definite integral:

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Q: Consider the function f(t) = 3 and real number a = - 4. y= fn a. Find and graph the area function…

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A: The given function is:…

Q: 57. - (bA-c) a. - (-bA~c) 58.-bnc b.-(-b→-c) 59. - (bvc) c. bA-c d.-(-b c) 60. - bA-c 61. - (b c)…

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Q: V1 + x 8. 1- x

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Q: 17. Find the interval of convergence for E(-1)"-1÷) x'

A: To find the interval of convergence.

Q: Find the following using the table below. 1 2 3 4 f(x) f'(2) g(x) 2 4 1 3 1 4 3 2 4 3 1 1 3 4 (x),6…

A: Given,

Q: 2 2 Find the sum of the series E Vn +4 yn+5 n= 1 The sum of the series is (Type an exact answer,…

A:

Q: wings V tano do %3D 2)

A: Reupload questions one by one according to bartleby guidelines

Q: Given the function f(x) = 3x – 5 and the function g(x) = 6x² + 8x + 27 determine each of the…

A: The given functions,fx=3x-5gx=6x2+8x+27

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A:

Q: How many distinct solutions does the following equation have? I1+I2+I3 +24= 100, such that %3D I E…

A: To find the distinct solution of x1+x2+x3+x4=100 Since, x1∈{1,2,3..},x2∈{2,3,4,…},x3,x4∈{0,1,2,3,…}…

Q: 4.) Evaluate: xe* dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Does the series E n+1 converge or diverge? n-1 Choose the correct answer below. O A. The nth-term…

A: Here we will check whether series is converges or diverges,

Q: Simplify the following expression. dt dx 2+1 dt .2 dx t +1 0.

A: In the given problem first we integrate the given integrand and  then differentiate the integral .

Q: The following data lists different investment amounts (X) and the amount of interest (Y): X5 Y 2.5…

A: Here is the solution:

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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A:

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A: Given query is to find the derivative if the expression.

Q: 70t 60- 50 40 30- 20 10 -10 10 20 30 40 50 60 Taylor is a lifeguard and spots a drowning child 60…

A:

Q: Find the indefinite integral and check the result by differentiation. (es + sec?e) de Step 1 To find…

A:

Q: f(x) = cos(x) g(x) = x' + 1 Find f(g(x)) and g(f(x)). (Use symbolic notation and fractions where…

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Q: Use the substitution u =x + 1 to evaluate the indefinite integral below. 5 1) dx Write the integrand…

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Q: ss メy(+3) V : Ans: 5

A:

Q: Use the power series Σ 2(-1)^x^, \x| < 1 1 + x n = 0 to find a power series for the function,…

A: Leibnitz Alternating series Test :  Suppose that we have a series ∑(-1)n an where , an≥0 . Then if,…

Q: derivatives

A: We will solve the 2 problems.

Q: The radius of a circular oil slick expands at a rate of 4 m/min. (a) How fast is the area of the oil…

A: To find the da/dt

Q: Determine the vector equation and the Cartesian equation of the plane tangent to the surface: z = x3…

A: The given equation of the surface:z=x3-y3which can be written as fx,y,z=0, wherefx,y,z=z-x3+y3.We…

Q: answer does not exist, explain why. x - 1- V3x +1 a. lim- х — 5 1- x b. lim (x – 6)²

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Q: Solve inital Value Problem

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A:

Q: 3. A curve has equation y = Find the x-coordinates of the stationary points of the curve in the tan…

A: To solve the following problem

Q: 2. Convert (-V3,) to rectangular form.

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Q: The variables x and y satisfy the relation 2 = 31-2x. (a) By taking logarithms, show that the graph…

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Q: Determine the vector equation and the Cartesian equation of the plane tangent to the surface: z =…

A: Here, the given surface is: z=f(x,y)=x3-y3 To find the tangent plane to the surface at a point…

Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

A:

Q: RELATED RATES Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35…

A: Use rate of change concept

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?

A:

Q: 1.) Evaluate: (x* + 3x³ + 1)dx 2.) Evaluate: (1++) dx 3.) Evaluate: () dt

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Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship…

A: We need to find rate of distance changing.