Find the arc length of y = e" on 0 < x < 2 No decimal entries. Find the exact value. L =

Q: 22. An important and very useful exact differential to (2y? +2x² + y)dx – xdy = 0 a. InX %3D C. InY ...

A: We know, xdy-ydxx2=dyx dx1+x2=tan-1(x)  

Q: ctions of 0 by using the given information. cos 0= and sin 0<0 41 = (Type an integer or a fraction.)

A: Topic:- trigonometry ratios  

Q: The monthly total cost function for a product is C(X) = 500x + 0.1x + 17,590 dollars, and the monthl...

A: 1.)C(x) =500x+0.1x2+17590R(x) =1000x-0.01x2Break even point⇒ C(x) =R(x)Units = 35 , 4510  

Q: Eliminate the arbitrary constants c, and c, from y = c, +C,e*

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Q: Fad ives Find the derivatives: (a). g(x) = tan(cos(3r)), (b). f(x) = tan (cos(3r)).

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Q: Consider the following. 2x3 +5x2-32x-80 x2 x) %3D - 9x + 20 (a) State the domain of the function. al...

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. 9 cos x dx = J si...

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Q: . Robertson owns a store. His mark-up percentage is 80%. He is also VAT registered, VAT is % of the ...

A: This is a problem of profit and loss. Based on the general formula we will calculate all the three s...

Q: (d) Evaluate L(2.01) using your equation from part (c) (e) Evaluate f (2.01). Why is this value so s...

A: Given function f(x)=2x3-3x2

Q: 2. Given the functions below, find A. (A + B + C +D + E + F) B. (P + Q +R + M + N) (x² +1)(x+1) (2x ...

A: Both parts are solved below in detail.

Q: 15. The integrating factor to (2y? +3xy – 2y + 6x)dx + x (x +2y – 1)dy = 0, to make it an exact diff...

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. If the differential equation ...

Q: Jse l'Hospital's rule to find the limit. HINT [See Example 4. x + 1 lim x+0 e*

A: limx→∞x+1ex = ∞+1e∞                    = ∞∞                    = indetrminant form Apply l'hospital ...

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

A:

Q: z+2 dz cot (z²+4z-3)

A: To evaluate: I=∫z+2cot(z2+4z-3)dz⇒z=12∫2z+4cot(z2+4z-3)dz...(1)

Q: csc (tan 2y-1)cy 5. cos* 2y

A: Given ∫csc2(tan2y-1) dycos22y To evaluate the integral using Trigonometric formula:

Q: 8. Find the limit, if it exists, or show that it does not exist: 2x-y a) lim (xy)(1,2) 4x2-y2

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Q: Question 5 Determine the coefficient of Cot(x) when we evaluate [cot(x) – csc(x)]²dx_ 1 (A 2 B 2 Non...

A: ∫cotx-cscx2 dx

Q: 1. The formula for finding the arc length of a curve, given in parametric equations, is as follows A...

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Q: Use the difference an+l a, to show that the given sequence {a,) is strictly increasing or strictly d...

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Q: Let H(x) = 5f(x) + 3g(x), where the graphs of f and g are shown in the figure to the right. Find H'(...

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = secx, -...

A: To find out the volume of revolution. 

Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequence x2 + 1 An = ...

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Q: The value of k so that (y³ +kxy* – 2x)dx + (3xy? +20x?y³ )dy = 0is an exact equa is: а. 10 С. -5 b. ...

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

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Q: 10x2 5x Evaluate : - lim 5x2 + 16 О 2.000 O 0.312

A: We will find the limit. 

Q: Activity A. Evaluate the following limits: 1. lim 3* 2. lim 3* 3. lim 4* 4. lim 5* 5. lim (0.2)*

A:

Q: Find

A: We will solve find the anti derivative or integration. 

Q: In Problems 25-32, use L'Hôpital 's rule to find the limit. Note that in these problems, neither alg...

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A: v

Q: x+4, for x - 1 (A) Select the correct choice below and, if necessary, fill in the answer box to comp...

A: This question can be solved by using the concept of existence of limit at a given point.

Q: (e^x+lny+(y/x))dx+(x/y+lnx+siny)dy=0 solve using exact equation (diff eq)

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Q: When you evaluate: ax. The sum of the coefficient of X'' for any constant nis A 16 7 12 7 8. D E Non...

A: Given ∫x3-1xdxExpand:=∫x52-1xdxApply linearity:=∫x5/2dx-∫1xdxWe know that ∫xndx=xn+1n+1=2x7/27-2x

Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

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Q: 7. One secretary can do a particular job in 6 hours and another secretary can do the same job in 4 h...

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only first ques...

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

A: To find the volume.

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex an...

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Q: 21. In the linear differential equation of the form, Po (x)y(n) +P-1 (x)y(n-1) +...+P1 (x)y' +P, (x)...

A: According to Bartleby guideline, the only first question has been answered here. Please repost separ...

Q: Find the solution of the given initial value problem in explicit form. sin(2r) dr + cos(5y) dy = 0, ...

A: Find your answer below 

Q: the strong Allee effect is a population that satisfies rz (5 - 1) (1 – ), dx | dt A where 0 < A < K....

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value...

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Q: sT/4 sec“ (0) tan“ (0) de op(6 dx Vx² +2

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Q: 2. f(x)=-2csc(x-45°)+2 Amlitude: f(x) Period: Vertical Shift: Horizontal Shift Start: End Increments...

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Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the r...

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Q: Classify: The weight of a professional boxer. O Dicreet O Continuous

A: Sollution

Q: cos (In4x2) dx

A: Topic:- integration

Q: With partial fraction decomposition the following rational expression can be as A В + x + 2 27 (х — ...

A:

Q: S csc*t cot²t dt

A: ∫csc4t cot2t dt

Q: Use the table to the right to find the given derivative. 2 3 4 f(x) f'(x) 3 1 4 2 d xf(x)] 2 3 4 dx ...

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

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Q: In 2 sinh?xdx - In 2

A: Given problem:-