VI+x – 1 lim V4– x – V4– x²

Q: If z = eax+by az then a az is ay

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: x3 , which Consider the plane region bounded by the curves y? intersects at point (0,0) and (1,1) Fi...

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Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of independen...

Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Solve for average temperature after 40 min. 

Q: Given the function f(x) = 2x + 16x° + 36x, determine all intervals on which f is both increasing and...

A: f(x) is both increasing and concave up in interval from 0 to infinity...as I have done solution in d...

Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A: Let's find. 

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: O Use a linear approxi mation (differential) to estimate 3999

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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: The population of a city is 45,000. The city grows continuously by 2.8% per year. If this trend cont...

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Q: C. y =1+3y tan x

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

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Q: 4. y = sin(cos 3x) – sin x cos 3x

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Q: If z = x? + y?; x = t sin t , y = 2t cos t dz then dt at t = is

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Q: Question 5 dy in terms of x. de 5. Given that y =u² - 4 and u=x +1, find dy dy du hint du de d du dx...

A: Topic:- derivatives   

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: D. (2x + 3) y =y+ y° (2x + 3) 2

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Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Here, elementary work is: dw=(2.5y+10)dy

Q: The motion (s) of a particle can be expressed as a function of time (t). The first derivative of s w...

A: Given

Q: about the y-axis

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Q: Solve for the differential equation

A: Note: In the first question given equation is not clear as only left hand side of the equation is gi...

Q: 15. a, = (-1)" 3n-

A: since we are given with multiple number of questions and our guideline is solve the first question o...

Q: The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is th...

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Q: cos° Vx dx x CsC csc Va

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Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Given query is to find the average temperature of the coffee in the first 40 min.

Q: 20. Which of the following statements are FALSE? dy 2л -5 I If y = In (7 - 5x), then de 7 - 5x 3e3x ...

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Q: Find the volume V of the described solid S. The base of S is a circular disk with radius 4r. Paralle...

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Q: Select the SHAPE that corresponds to the correct answer. Integrate tanh y with respect to p. In Isec...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: 9) lim メフ16 ス- 16 4-ra

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Q: sinº – cos? –dx 2 2

A: We have to find the integral of the above function.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: 2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalen...

A: us the definition of reflexive , symmetric and transitive property of relation to prove it is equiva...

Q: 16. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Martin went to the store and bought toilet paper and paper towels in March of 2020 and sold them to ...

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Q: 1.) f(x) = 1- 2x at a point where x = -3 2.) f(x)= 5x + 12x? - 7x at a point where x = 1 3.) f(x) = ...

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Q: 3 (x³-4x)dx

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Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where ai...

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer ...

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Q: 2. x cosh x? sinh x2 dx

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the x...

A: To determine the intervals on which the graph of y=fx is concave up or concave down, and to find the...

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: We will evaluate this integral as shown below

Q: Identify all singular points and points of discontinuity of the given function. HINT [See Example 3....

A: Since function is not differentiable at x=5  So, singular point is x=5  But function is continuous e...

Q: Let R be the region bounded by the following curve. Use the shell method to find the volume of the s...

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Q: sin x 5 2 0, cos x

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the...

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Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

A: Trapezoidal RuleGiven,I=∫02(5t3+7t)dt⇒a=0, b=2, and given n=4.we know that,h=b-anh=2-04h=24h=12=0.5....

Q: sec(Vx) tan(Vx) dx

A: