Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1 x)

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

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Q: A vertical wall makes an angle of radian measure źr with the ground. A ladder of length 20 ft is lea...

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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Q: a) The function m-x+e*,x=0 f(x)=- 2n, x>0 is x' -16x x<0 x - 4x continuous for all real values of x....

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Q: Use any method to determine whether the series converges or diverges. (k!)° (9k)! O The series diver...

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Q: 3x What is f'(x) given the integral function f(x) = (4u – 2) du? O f'(x) = 4x-2 %3D O f'(x) = 12x -2...

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Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² - 2...

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Q: Write the given series: 2+4+6+8+10 in sigma notation.

A: Given problem:- Write the given series: 2+4+6+8+10 in sigma notation.

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

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Q: Given: V5x-3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicable? ...

A: Given  ∫5x2-3 x dx

Q: (-1)"n! 3. (a) Test the series for absolute convergence. n" n=1 2 4 2n-1 (b) Prove that the series 1...

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Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative  

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Ratio Test :  Suppose ∑ak be an series and            ρ = limk→∞ ak+1ak , then(i)  If ρ &lt;1 , then...

Q: Q2.) Graph the two equations x+y= 0 , and y = - (x -1)? ( 10 pt and find the points in which the gra...

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Q: topic: calculus of polar curves 1. Find the slope of the curve r = 2cos 4Ɵ 2. Find the slope of th...

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Q: 5. Find the area of the region enclosed by one loop of the curve: r= 4cos(3Ø)

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Q: 3) For f(x)= cos(20x), use Taylor polynomials to estimate f(1/40) to within 1/100. Do not forget to ...

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Q: By using the definition of the derivative, find the equation of the tangent line to the graph of fix...

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Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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Q: Question 13 Consider the integral dx. Using u-substitution, what is the appropriate u and du? 2e 3e2...

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Q: 14 n+3 n+2, n=1

A:    ∑n=14n+3n+2Compute the sum of an=n+3n+2 for n=1…4=43+54+65+76=9920

Q: analytically

A: As per the guidelines we can solve 3 parts only. 

Q: EC an

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Q: 3x -dx be given. If 4=e*+2. then the resulting integral is f(u) du.compute f (3). e* +2 Let 2 (A 3 B...

A: We have to find value of f(3)

Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate ...

A: Topic:- application of integration

Q: Use Stokes' Theorem to calculate rot F dS, where F = ri + yj + rk and S is the surface given by the ...

A: This is a problem of vector calculus. By using stokes theorem formula we will evaluate given integra...

Q: Question 1 dx The integral can be re-written as A lim (-1+2 y 1-m m - 0 B none of the choices lim (2...

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Q: b. Recall that f(x) = 2*-1-1. Graph of fi(x) = f(-x) + 2, f2(x) = f(-x+1) + 1, and fs(x) = f,(x) + f...

A: The given function,          fx=2x-1-1

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

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Q: Evaluate the integral 4x4- 12x2 +7 xdx.

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Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3) 3.(-1,...

A: Distance between two points (x1,y1) and (x2,y2) is (x2-x1)2+(y2-y1)2. Note : As per our Guidelines ...

Q: Evaluate the following limits using L'Hôpital's rule   2. lim x→0+ tanh x/sechx − 1

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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: A consumer has utility function xy u(x, y) = x+y

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Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x (c.) the intervals on which f is ...

A: Given problem:- f(x) =(x2/3 − 1)2   (c.) the intervals on which f is increasing or decreasing (d.) t...

Q: Which of the following is the general solution of the DE: у" - 36у %3D0? Select one: o y=C,+Ce 36x -...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) = %3!

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Q: y' + y = 5 sin(2x)

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Q: Find the radius of convergence and the interval of convergence. Σ k(k+ 1) k=1 1) First apply the Rat...

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Q: entences. 5k + 7k +1 3k* +8k? +9 -). az

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) : n = 4 x + 1 Pa(x) =

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

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Q: dx The integral can be re-written as. VI- A lim (-2+ V1- m) m-- 00 B none of the choices lim (2-2 V1...

A: ∫-∞0 dx1-x  

Q: Express the repeating decimal as a fraction. 0.4713 43 43 43...

A: In this question we have to express the repeating decimal as a fraction.

Q: у %3D Зx5 — 15x4 + 20х3 + 3 -

A: Given : y=3x5-15x4+20x3+3   To Find : x &amp; y- intercept of the given graph

Q: Question 7 Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 2e...

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Q: 8. What is de x2+1

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Q: dx Given: 7-ge-2x. Using u-substitution and transforming the integrand, find du. A 18e-2xdx B - 18e-...

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