(-1)²-1n n+vn b) an (Hint: Show what happens when n is odd and when n is even) %D

Q: Find the volume if the region bounded above x axis is rotated about the x axis

A: The volume for solid of revolution between curves is the volume of object between a curve fx and a…

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Q: Determine positive integers A, B, C, D, E and F such that 9n-14 6x2 -132-5 A Bx+C Ex-F A B = C = D =…

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Q: Draw the graph of f(x) = – 5" + 3 10+

A: Graph of 5x (a growth function)passes through (0, 1)whereas -5x is a reflection about x-axis.and…

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A: We can find the total distance traveled by using the left Riemann sum and the right Riemann sum…

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A: P∝TP∝1VPV=k T .....(1)where, k is proportionality constant.P1=18 atmospheresV1=120…

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A: Given query is to find the direction derivative.

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Q: I Find tee e avation of tangent line of fcx) = X+) at X=2 X-3

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Q: | (5e" + 5a* + 9cos r+ 2)dr O e* - a5 + cos a + 2 + c O 5e" + a -9 sin a + 2+ c O e +a5 - 9 sin z +…

A: Here we have to evaluate I=∫5ex+5x4+9cosx+2dx

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Q: Given a function F(x) =xVx+6. (a) Find the intervals of increase or decrease. (b) Find the local…

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Q: Sketch fully by finding all the necessary information given f(x), f' (x) and f"(x) 8х-32 16-8x f(x)…

A: Solve the following

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Q: 4) A projectile travels at a velocity of v(t) = 45 – 32t, where v(t) is measured in feet per second.…

A: We have to find displacement of the projectile.

Q: Suppose that $83,000 is invested at 3-% interest, compounded quarterly. a) Find the function for the…

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Q: uate the integral. 9. (x2 + 2x – 5) dx 4.

A: Given query is to find the value of the integral.

Q: Find rye"ty dyda

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Q: Let {an}, be a sequence of real numbers. Let a2k and a2k–1 be the even and odd terms of this…

A: We have to prove that sequence an converge to L.

Q: | (8t3 – 12t2 + 6)dt Evaluate:

A: We can evaluate the given integral by using the following formula.

Q: Find the area inside both curves. r = 2+ sin(20),r 2+ cos (20)

A: To find the area inside both curves.

Q: Evaluate the following definite integral. 1 5. (2x + 7)2

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Q: Find f. f '(x) =     (6 + 5x),    f(1) = 11

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Q: g'(t). t 10

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Q: 1.9 e'Intdt - i 1.1 eTextbook and Media Save for Later

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Q: Solve the system of equations by graphing: {y+2x=2y=−2x+3{y+2x=2y=-2x+3 Enter your answers as…

A: The given system of equations,y+2x=2y=-2x+3

Q: 2) Vy + 2x = (e – 1)3

A: Given query is to find the derivative of the expression.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 8, -1) Vw(5, 8, -1) =

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Q: le“ + 4x° + 7 cos x + 2)dx O 4eª + x*+7 cos x + 2x + c r4 x* + cos x + 2+c - O 4e" + x* – 7 sin x +…

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Q: 'ax+b 1) g(x) ) (a and b are constants) = sec ax-b

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Q: Problem2. 3–2x Solve e = 4. And then: 1. Leave your answer in exact value. 2. Round your answer to…

A: Given: e3-2x=4

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A: Given query is to find instantaneous velocity at t = 2 and average velocity for the given…

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Q: Problem3. Solve 4 + 3log(2x) = 16. %3D

A: We can solve the equation as below using properties of log.

Q: Find the value of the summation. 3 E+3)3D

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Q: Graphing Asymptotes for a Rational Functions Two copies of the same Rational Function are shown…

A: A line x=a is said to be a vertical asymptote of a function y=f(x) iff as x tends to a, f(x) tends…

Q: iven the given cost function C(x)=5950+360x+1.4x^2 and the demand function p(x)=1080 Find the…

A: Follow the procedure given below.

Q: 1) y= 1 tan 20 3元 5元 3n 7元 2元 元 TC 元 4 2. 4 414

A: The given data is: y=12tan2θ  To draw the graph.

Q: Find t6e eavation of tangent ine of fcx) = X+) at X=2 X-3

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Q: The antiderivative of the function 6. + 8x is. x2 f(x) -6 + 16.0x² + c -6 4.0x? + c - 6 4.0x2 + c -…

A: Solving

Q: One positive number is 7 times the reciprocal of another. Find the numbers if their sum is a…

A: Let the numbers are x and y  x=7y Sum of the numbers(S) = x + y S = x + y S = 7y+ y Differentiate…

Q: Evaluate the integral (ycoS z + 1) dydz.

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Q: For the function f, use composition of functiol 7f(x) + 7 Substitute f (x) = 6. 6. 7x-7 f(x) = 7x+…

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Q: Sections 4.1, 4.2 To receive full credit on this Homework assignment you must show all your work.…

A: We have to find value of given indefinite integral.

Q: 5) y=-4, y=x² - 4, x= 2 Axis: y = 2 Find the volume of the region that revolves around the given…

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Q: Let f(x, y) = xe*Y. Find the maximum rate of change of f at the point (2, 1). хе

A: We will find the maximum rate of change.

Q: Find all values of x where the given series converges. 9" x" (n + 1) n + 9 n=1 Answer: Note: Give…

A: Given

Q: Problem #4 Perform a first derivative test on the function f(x) = x V25- x2 from[-5, 5] by doing the…

A: