Discuss the continuity of f(x) = {Vx, x > 1 1, x<1 at x = 1.

Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to b...

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants ...

Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16 ...

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Q: aS) A Graph the curve Y=-2x (x - 4)x + 6)(N - 2) between the value of then find the area of the fini...

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Q: 5. The sum of the first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is th...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: hdefinite integral using integration by parts with the given choices of u and dv. X COs 8x dx u= x, ...

A: We will fill in the blanks with appropriate values. 

Q: Solve the inequality - 2 3 and enter your solution set in the box below using interval notation. To ...

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Q: Sy*ezdy

A:     ∫ y4ey2dyLet u=y2.=∫ 32euu4du=32·∫ euu4du=32u4eu-∫ 4u3eudu=32u4eu-4u3eu-3u2eu-2euu-euSubstitute ...

Q: Show that the function f(x) = 1 – I - x² is continuous on the interval [-1, 1].

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Q: 10* (100* + 1)dx

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Q: Set up but do not evaluate, an integral for the length of y = Vr +2,1<r<7 using, 2 dy dx (a) ds = 1+...

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

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Q: Write the first five terms of the sequence: (17 ln n +00 n=1 Determine whether the sequence converge...

A: The given sequence is 17ln(n)nn=1+∞. We have to check whether the sequence is converges or not. A re...

Q: e 4x =dx e4x – e

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Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS

A: ddv1-2v1+v3  

Q: Question 6 of 9 Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then fi...

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Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing a...

A: This question can be solved using rate of change of physical quantities.

Q: What are the removable singularities of the functions ?

A: Topic:- function

Q: (x-1)+3(x-1) +5dx

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Q: 1. The sum of two positive number is 42. What are these numbers if their product is a maximum?

A: As per our guidelines we can help you in solving only first question. Rest of the problems, you have...

Q: sin-(ry) = cos-(r – y)

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Q: Use the Composite Trapezoidal rule with the indicated values ofn to approximate the following integr...

A: As per bartleby guidelines we only give first question answers. 

Q: The graph of f(z) is given by {-1.4) (1, 4) (-1, –2) (5,-2) (3,-4) (-4, 5) Determine if f is continu...

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Q: 2. Find Y if y =x +3x-7 and x 21 +1.

A: Given: y=x2+3x-7x=2t+1  

Q: What type of discontinuity is present in the function 3x – 2 if r 2 O The function has a removable ...

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Q: y y 12 12 10 8 6 4 2 21 X 2 4. 8 10 12 4 (d) Show that the slopes of the graphs of f and f are recip...

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Q: sin x dx TT cos2 x + e cos x

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about a = x0 and then find the nth Taylo...

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Q: 4. f(x) = e-x³/2 %3D

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Q: View Policies Current Attempt in Progress Use the ratio test for absolute convergence to determine w...

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Q: For the sequence {an}, with lim an = 9, this means the terms in the sequence approach 9 as n becomes...

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: Verify that the indicated function y = P(x) is an explicit solution of the given first-order differe...

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Q: Using appropriate substitution and taking a + 0, 3tan(ax) the integral S dx is equal to: cos² (ax)

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Q: dX; = X;(ydX, + tdt), d Хо 3D 1.

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Q: Score Grade/Section: Date 13. What is the solution of the inequality? A. x > -1 or x 1 or x -2

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Q: Solve the given diffe rential equation by using an appropki ate subrh tution The DE is a bernoulli e...

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Q: Find the domain of the vector-valued function. r(1) =In(1– 1)i+v4-1j O (-1,4] O 14,-1] O 1,4) O (1,4...

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Q: 3(1+t^2)dy/dt=2ty(y^3-1) how to solve this differential equation

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Q: 11. Consider the following rational functions: 2x 1 x + 27 x -- 9x x² + x - 6 x + 6x² + 9x r(x) s(x)...

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Q: 2022x dx x2 + 6x + 18

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Q: Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

A: Integrating by parts : ∫u.v dx =u∫v dx -∫(dudx∫vdx)dx ∫sec(ax) tan(ax) dx= 1asec(ax) +C ∫sec(ax) dx ...

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate int...

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Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

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Q: 6. Calculate the derivative by logarithmic differentiation and then evaluate g' at the indicated val...

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Q: (a) If f(x) = V3 – x, find the inverse function f. %3D

A: Topic = Functions

Q: 15. (a) If f(x) = V3 – x, find the inverse function f. (b) Sketch the graphs of f and f on the same ...

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Q: Find the radius of convergence and the interval of convergence. (x – 3)* 2k 00 k=0 1)

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Q: 4x 3 4X -e xp

A: To solve the following integral, we use substitution method