7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

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A: Given problem:-

Q: n Consider the series Which of the following is equal to an+1 for this series? 2n n=1 an a. n + 1 2n...

A: Given query is to perform indicated operation.

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Q: 1.(Easy) For the following differential equations, state the independent and dependent variables, th...

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

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A: Function is not continuous at x=0 

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y - xy + 6 ...

A: Given problem:- Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equa...

Q: %24 %23 - and r = 0. =D0. Find the area of the region enclosed by y = 5e*, y = 6e¯² and x = 0. 5- 4....

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Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

A: A detailed solution is given below

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = E Σ ...

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Q: 4 1/2 - 3 Find k' (x) if k(x) = e Sorry, that's incorrect. Try again? K(x) = I

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Q: Question VIn(2r +5x-1). Find the derivative of f(x) %3D Provide your answer below:

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Q: Find Y for the followings   1- y''-9y=6(x^4)(e^3x)-2e^(-2x) sin(9x)

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Q: 11. Find the radius of convergence of the following power series. a. Ση! (r- a)". | b. Σ (x-2)" Vn² ...

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

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Q: V lim x² – 9 X→3 x² – 4x + 3

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: Write the formula for the derivative of the function. f(x) = 11x4 + 15x3 + 9

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

Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for al...

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Q: Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x) ...

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

A: The circle formed has the area  A=πr2...(1) Differentiating it with respect to t: dAdt=π2rdrdt...(2)

Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

A: topic - application of derivatives

Q: 8. Find a definite integral for the area of the region that lies inside the polar curve r2 = 8cos(20...

A: Here, given that the region is bounded by the curves: r2=8cos(2θ) & r=2 which is

Q: Use are length formula to find the Of the line segment y=l1-7x, OLx

A: solution:-y=11-7x,   0≤x≤5dydx=ddx11-7x=-7Arc length formulas=∫ab1+dydx2dx  

Q: A car dealer buys 5 cars. Their purchase prices are recorded in a vector: PP - In addition to the p...

A: We will subtract purchase price vector from sale price vector .to get profit vector.

Q: Given the function f(x) - xer, Determine the open interval(s) where the function is concave up Deter...

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Q: Evaluate the integral. csch (in x) coth (Inx) 7x A) 7 sech (In x) + c B) x csch (In x) + c © 2 csch ...

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Q: 6 - Зх *b. f(x) = 5+ 6x

A: Accoriding to given "b" only solved :Given :f(x)=6-3x5+6x

Q: Question 3 Find k' (x) if k(x) = e* ( 3x5/4 %3D Provide your answer below: K(x) =

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Q: Solve

A: We will find the graph corresponding to the Differential equation

Q: if a 1 4 -5 -4 -3 -2 -1 2 3 4 5 --2 -4 -5- Clear All Draw: Note: Be sure to include closed or open ...

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Q: Dialysis treatment removes urea and other waste products from a patient's blood by diverting some of...

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Q: D. Eliminate the arbitrary constant C. 5. y'sinx-2x'y³= Cy? 6. y=C,e6x+3C2ex

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Q: 4. Find the slope of the line tangent to the graph of the equation -ey +y° = 7+ 2x at the point (0,2...

A: Given query is to find the slope of the tangent at given point.

Q: » Given : x - xy + y? = 4 a) Find dY by implict differentiation : b) Find the equation of the tangen...

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Q: If fó f(x)dx = n , f, 79(x) dx : 7, and g(x) dx = 2, what is the value of S, g(x) dx?

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: Graph of f The graph of the function f shown above has horizontal tangents at x = 2 and x = 5. Let g...

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Q: Find the solution of the following Differential Equations 8) y' = tan(x+ y)–1

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Q: A particle is moving in the velocity of v(t) = . Find the torsion of the particle's movement. Leave ...

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Q: (a) Find the average rate of change of the area of a circle with respect to its radius r asr changes...

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Q: 1 dx Ji x/1- (In x)²

A: ln x = tdxx = dtx=1 → t = ln 1, t=0x=e → t = ln e, t=1   I = ∫01   11-t2  dtFormula:∫ 1a2-x2  dx =1a...

Q: |X - 41 2) + 2 <0 IX + 31

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Q: Consider the function f(x) = 2 – 3x, - 4 < x < 1. The absolute maximum value is and this occurs at x...

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Q: Show that (sec x) = sec x tan x. dx Note: You may assume it is known that (sin x) = cos x and :(cos ...

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Q: Differentiate. Simplify the answer. F(x) = 1+ xex

A: This question can be solved by applying the quotient rule of differentiation

Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x) t...

A: Here, the given revenue function is: R(x)=75x-x210⇒R'(x)=75(1)-2x10=75-x5