х—1 dx х4—1

Q: The rabbit population at the city park increases by 4% per year. If there are intially 390 rabbits…

A: Given query is to find the population of the rabit after 18 years.

Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn : 11" n=1 Then determine…

A: Let's find.

Q: _2 .2 y = у — 2х* + 3x — 4х, у — х* Find the area of the region enclosed by the two equations. (make…

A: the region is bounded by y=2x3+3x2-4x, y=x2

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(3​,4​).   8x2−y3−8=0

A: The given equation is 8x2-y3-8=0. Obtain the derivative y' using implicit differentiation as…

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A:

Q: Evaluate the following integeali S6sinxcosxdx

A:

Q: 18. A farmer wants to fence in a rectangular plot of land adja- cent to the north wall of his barn.…

A:

Q: Solve for æ: 109z - 2 = 710z – 6

A: To solve for x.

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A:

Q: The graph of x +y = 100 is a circle having center at the origin and radius 10. a. Write the equation…

A: The graph of the circle x2+y2=100 having center at the origin and radius 10

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: we know two vectors <a, b, c> and <x, y, z> are parallel if (a/x) =(b/y) =(c/z) .

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 %3D y + 5 =…

A: The given question has been solved in detail.

Q: 1. ſ f(x)f'(x) dx 2. S Vx³ dx 3. S csc?x dx

A:

Q: Jsec?xtan3xdx

A:

Q: 54 in. 2/2 in. 2'2 in. Volume = %3D Surface Area = %3D

A:

Q: The count in a bacteria culture was 500 after 20 minutes and 1100 after 40 minutes. Assuming the…

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Q: Evaluate the definite integral: 7/4 1+5 cos2 (t) dt cos? (t)

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: denote In°(x) dæ

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. y=x^2…

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Q: 1. f(x) = tan(2x) - 5

A:

Q: 3. Compute the scalar line integral 3 y – xz ds where C is the line seg- ment from (0, 1, 1) to…

A:

Q: Question 2 Let us calculate the definite integral | (2 + a? + 1)°(6æ² + 4x) da

A: Given,            ∫x3+x2+156x2+4xdx

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

A:

Q: Show that 2x* dx = [* 2x° dx + f, 2x* dx + f; 2x° dx %3D

A:

Q: Evaluate: (20t3 – 12t? + 7)dt

A: ∫03 (20t3 - 12t2 +7 )dt here we use rule of integration xndx = xn+1/(n+1) [20t4/4 -12t3/3 +7t]03…

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: The telephone calls to a U.S. Congresswoman's local office between 9:00 A.M. and 12:00 noon are…

A: answer is in next step

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: Solution of question is written in below steps.

Q: For each sign chart for f'. Carefully sketch the graph of both functions f and f'. Upload your work…

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Q: Find the dimensions of a rectangle with area 1521 metres squared whose perimeter is as small as…

A:

Q: Find the area under the given curve over the indicated interval. y= 5: (-2, 1) The area under the…

A: We can find the area under the curve as below.

Q: Expand the quotient by partial fractions. x² +1 x - 17x+72 x +1 x - 17x+72 (Simplify your answer.)

A: To expand the quotient by partial fractions.

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A:

Q: Given the following matrices: 3 3 2 3 1 -3 0 4 1 A = 5 6 3 B= 1 2 C = ;C = 4 0-2 %3D %3D 3 2 -3 -1 2…

A:

Q: Using the graph answer: f(2) g(2)

A: We now that ,in  y=f(x) , x is values in domain and f(x) is the values in co-domain, Therefore here…

Q: Find the equation of the tangent line at the given point on the curve. 3y-x = 8, (16,2) %3D

A:

Q: b) Find the sum of the series 10" -1 Σ n =1 11"+1 The sum = c) Find the exact partial sum S, of the…

A: We know that in a geometric series, the sum of infinite terms = a1-r and the sum of first n terms =…

Q: D. Find the area of the region bounded by the given curves. Breaking 1 NEWS x2 = 4y 3 y? = 4x %3D 2.

A:

Q: Find the average value TEX of the function f (x) =4sin cos on - 2 the interval [1,4].

A: Given problem:- f(x) =4 sin(πx/2) cos(πx/2)  To find:- Average value of the function over interval…

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Using L'Hospital method, this can be solved very easily. So, I have use that only.

Q: For numbers 41-43, suppose that the functions f and g and their derivatives with respect to x have…

A:

Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

A:

Q: S(x + e*)²dx

A: Solution of question is written in below steps. Note: (a + b)2 = a2 + b2 + 2ab

Q: Find the equation of the tangent line at the given point on the curve. 2x2 + 2y? 29y-y e 58x/5, .2…

A:

Q: 4 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2 -4 -5 -64 The graph above is a transformation of the function x…

A: Topic:- function

Q: y' + p(x)y = q(x), p(x), q(x) E C(I)

A: We have to find the general solution of differenrial equation

Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

Q: Given that s(x)=(−1)/ (x+8) +(9)/(x−4), what is the antiderivative of s(x)? (Do not include the…

A: sx=-1x+8+9x-4

Q: A/ 10 Evaluate 4/1+ cos 10x dx. A/ 10 4/1+ cos 10x dx =

A: