Question find the limits it they exist 5) lim x - Arctanx) X→の 2 tanx lim (I + cosx) X-> (3) lim (X - 5)5x 1x-5)

Q: Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right tri...

A: answers are a = 2.0837 b = 11.8176 detailed solution is given below

Q: Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it take...

A: Given:r           = Radius of the circular track (meters (assumed))95 sec = time (TA ) taken by Akir...

Q: The population of a city is modeled by the equation  P(t)=235,775e^0.25t where t is measured in year...

A: you can clearly understand if you follow the below solution

Q: What is s' (x) when s(x) = In (5x³ + 2x? + 4x +6)? Select the correct answer below: O In (15a2 + 4.x...

A:

Q: Verify the following identity. +e = sin 0 2 cos Which of the following four statements establishes t...

A: Given identity as cos3π2+θ=sin θ Use the formula as cos A+B=cos A cos B-sin A sin B

Q: Find the First derivative of 5x/2 4x %3D

A:

Q: 1. Given f(x, y) = e sin(x² + y² ), find -2x and ôxôy ôyôx

A: Given: f(x,y)=e-2xsin(x2+y2)

Q: 2x +b if 5 There are exactly two values for b which make f(x) a continuous function at z = 5. The o...

A: Given: fx=-2x+b,x<5-150x-b,x≥5 we know that any functionfx is continuous at pointx=a if, limx→a-f...

Q: need help with this calculus problem Find and classify the absolute maximum and absolute minimum val...

A: To Determine: Find and classify the absolute maximum and absolute minimum values of g(x) = x3 − 3x2 ...

Q: Can you help me with this problem

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Q: 1 is convergent, and find its sum. Show that the series n(n + 1) n=1

A: we have to show that the given series is convergent and then we have to find the sum. ∑n=1∞1n(n+1)

Q: The answer I got is wrong.

A:

Q: A driver driving along a highway at a steady 49 mph.... (please refer to image) Please make sure to ...

A: (1) Consider the given initial value problem, d2sdt2=-k integrate both sides of the equation, ∫d2sdt...

Q: Question: What is lim h(x)? x--2 x< - 2 -2<x< 2 x2 2 -2x – 1 h(x) = {x | 2x – 3

A:

Q: number 5

A: The given function is fx=e1-8x. Obtain the derivatives as follows. fx=e1-8x f3=e-23 f'x=-8e1-8x...

Q: Evaluate ſe* -3x cos 3x dx using integration by parts method.

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Q: Graph the equation. 3x+2y 6 Use the graphing tool to graph the equation. Click to enlarge graph 4- 2...

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Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods cove...

A: We have to integrate: ∫sin5x cos2x dx Here we will use substitution method since derivative of cosin...

Q: Differentiate. f(x) = In ( In (8x)) f'(x) = Compute the following derivative using the method of you...

A:

Q: Evaluate the integral.

A: To Evaluate: ∫0∞1e7x+e-7xdx Concept: ∫a∞fxdx=limt→∞∫atfxdx

Q: - Find all solutions on the interval [0, 27): cos 0 = sin? 0 %3D

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Q: What is the answer

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Q: Consider the function f(x) = 2x³ – 12x? – 30x + 1 on the interval [ - 6, 8]. Find the average or mea...

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 9( y – x² )dx + xdy ...

A: We have to solve the differential equation 9y-x2dx+xdy=0. To find the value of C, given  y(1)=1.

Q: An object is thrown vertically upward from the surface of a celestial body at a velocity of 27 meter...

A: Distance function is given by - s(t) = 0.3t2+27twhere,t = time in secondss = speed in m/sec(a)Speed ...

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = i + √2j - √2k, v = -i +...

A: The given vectors are u=i+2j-2k,v=-i+j+k.

Q: Use this figure to evaluate each trigonometric function of angle A. The side adjacent to angle A has...

A: Given,            In the below given figure, the side afjacent toangle A has length 4 and the side  ...

Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the ...

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Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods cove...

A: The given integral is ∫dxx2+2x+5

Q: The number of people newly infected on day t of a flu epidemic is f(x) = 10t2 - t3 for (t ≤ 10), whr...

A: Given function - f(x) = 10t2-t3where, t= time in days(a) Instantaneous rate of change or slope of ta...

Q: 2/3 of 1/2

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.