x²dx 1. J4 –x*

Q: 1 tan 2 1 1 + tan-x +C. 2 2

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Q: Compute the following limits, if possible. You may use L'Hospital's (Bernoulli's) rule if it applies...

A: We need to find limit.

Q: Let F = %3| Use Stokes' Theorem to evaluate curlF · dS , where S is the hemisphere x? + y? + z² = 1...

A:

Q: Ariel obtained a business loan of $235,000 at 4.52% compounded semi-annually. a. What was the size o...

A: topic- compound interest

Q: A loan, amortized over 5 years, is repaid by making payments of $600 at the end of every month. If t...

A: Loan payment formula: P=PMT[1-(1+rn)-ntrn] where,p=principaPMT=payment r=APR t=number of year n=numb...

Q: Calculate the amount of money Melanie had to deposit in an investment fund growing at an interest ra...

A:   Calculate the amount of money Cody had to deposit in an investment fund growing at an interest rat...

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how ...

A: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how ...

Q: Use the difference a,41 - a, toshow that the given sequence (a, ] is strictly increasing or strictly...

A: We can solve the following problem as:- Here N= {1,2,3,.......n...}

Q: 4. f(x) = (Vx)(x² – 2x) %3D 5. y = (x + i)(x² – 1) %3D

A: derivative

Q: Let (2) = /2*+1, 4-x, Without graphing, is f(x) continuous at x 2? Clearly justify your answer. x+1,...

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Q: x2+ Consider dx. (x8 + 8x³ + 16x²) 2 Using u-substitution and transformation of integrand, then the ...

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Q: Use technology to maximize the following. You may round answers to 2 decimal places if desired. Maxi...

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Q: Given the function f(x) = 3 x3 + 7 x2 + 3, 8 4 -2.5 -2 -1.5 -1 -0.5 0.5 1 calculate the critical val...

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Q: Find the products AB and BA to determine whether B is the multiplicative inverse of A. -32 4-1 A = B...

A: A=-32-44  ,  B=4-11-1AB=-32-44 ×4-11 -1AB=-12+2     3-2-16+4     4-4AB=[-10  1-120]

Q: For what value of x does f(x) take on a minimum if f(x) = V 3 x² -2 What is the minimum value of f(x...

A: Given that fx=3x2-2x+4Solution :if we have to find minimum value of function then f'x=0 and solve . ...

Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If glu) = , evalua...

A: Given  g(u) = u+1u and  ∫f(x) dx = x + lnx-1 + C

Q: 4. Find the area enclosed by the curve: x=t2 – 2t, y= vt and the y-axis

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Q: Use sigma notation to write the Taylor series about z =1, for the function. 3Inr; 10 = 1 Σ

A: Explanation of the answer is as follows

Q: An agriculturist wanted to plant seven different organic crops in a small field. To properly study t...

A:

Q: Use the given integral table to find and evaluate the given integral. Given: ∫ 1/√6x - x2 dx

A: Given ∫16x-x2dx To evaluate the integral:

Q: DA farmer wanted to plant six different crops in a rectangular field. To protect it from animals tha...

A:

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

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Q: cot (2x) -dx. Evaluate the integral V cot2 (2x)- 15 csc (2x) CSC A --Arcsec 8 +C 4

A: I=∫ cot(2x)cot2(2x)-15I =-∫ -cot(2x)csc(2x)csc(2x)csc2(2x)-1-15 dxcsc(2x)=u-2 cot(2x)csc(2x) dx = du...

Q: cylindrical can is to have volume 1500 cubic centimeters. Determine the radius and the height which ...

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Q: Use the difference a41 - a, to show that the given sequence (a,] is strictly increasing or strictly ...

A:

Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the...

A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first quest...

Q: State whether the following series is Convergent or Divergent. n=1 O Convergent O Divergent iM:

A:

Q: 2. What is the impact propensity? Explain what this means in words. 3. What is the long run multipli...

A: Answer is in step 2.

Q: Calculate F. dS where F = (3xy°, xe", zª) S is the surface of the solid bounded by the cylinder y? +...

A: Let's find. 

Q: Express the repeating decimal as a fraction. 0.2715 25 25 25...

A: The given number,    0.2715252525........

Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

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Q: Differentiate f(æ) = 27. 1.

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Q: f(x) = 3√3x^2 + x + 1  take note: fuction of x is cube root of 3x^2 + x + 1 (a.) the critical numb...

A: As per bartleby guidelines we only give first three suparts  question answer.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We know that the Taylor series is given byf(x)=∑n=0∞fn(c)n!(x-c)nHere we need to find the Taylor ser...

Q: Example 5 Video Example 4O A man walks along a straight path at a speed of 5 ft/s. A searchlight is ...

A:

Q: Express the surface area of the surface obtained by rotating the graph of y = 4 sin (x) for Sx as an...

A: To express: The surface area obtained by rotating the graph of y=4sinx for π6≤x≤π3. Concept used: Th...

Q: Write the partial fraction decomposition of the rational expression. 5x-3 X- 4x-5 5x -3 %3D 2-4x-5 (...

A:

Q: Write the first five terms of the sequence, give the exact answer: +00 n+ 19 n=1 Determine whether t...

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Q: /4x+ – 12x² +7 xdx . Evaluate the integral A) -(4x4 – 12r²+7)/2 +c 24 © ! (21--3)/- 121+7 – 2 m 21--...

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Q: evaluate the definite integral by interpreting the graph of the function over the indicated interval...

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Q: х — 2 1. f(x) (2? — х + 1)2

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Q: Diana invested $1,175 at the end of every month into an investment fund that was earning interest at...

A: This question can be solved using future value of ordinary annuity for the first 8 years and then ap...

Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: A region is enclosed by x = y² and x = k , where k is a positive constant. The area of the region be...

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 Σ f(x) n = ...

A: Explanation of the answer is as follows

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: Using u-substitution, the integral Jf(x)dx reduces to a new integral J glu) - , evaluate the new int...

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Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) : = 1 and f'(0) = 3, f...

A: Given, g(x) is inverse of differentiable function f(x). f(0)=1 f'(0)=3

Q: Check which one of the following functions is a solution to the differential equation y" -y= sin x. ...

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Q: If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+1) + C, find the exact value of k. 1 (A) ...

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