The definite integral (-+) dx when evaluated is equal to - 11 Find the value of a." 12 3Vx. a

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Q: 1. (5 points) Given the equation of a circle 2x2 + 2y2-32x + 12y + 90 = 0 Rewrite it in the standard...

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Q: 2x - 3x - 21х -2х + 24 y = 2x* – 7x' – 11x² + 22x + 24 E. Infinite discontinuities F. Removable disc...

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Q: If 5dx + 1 = 2, what is the value of b? 48x2 А.) 2 В.) 4 С.) 8 D.) 9 А) с B D D) A

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Q: What should be the rewrite of the integrand of dx so that the resulting integral is integrable?. 4+2...

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Q: Given the differential equation and its initial conditions y" + 8y' + 15y = 7x? - 10 with y(0) = 4 a...

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Q: W 34° T2°

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Q: Use the Law of Cosines to determine the indicated angle ?. (Assume a = 126.5, b = 60.7, and c = 155....

A: Given: a=126.5b=60.7c=155.5

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Q: 17. Find the area enclosed by the x-axis and the curve y = -x² +9 32 s.u. а. 3 b. 18 s.u. с. 36 s.u....

A: Find the area enclosed by the x-axis and the curve y= -x2+9 

Q: 13. To evaluate f 2costx-1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+csc²x)dx b. [...

A: Here we have to transformed the given integrand.

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A: Use the partial-fraction method to solve (dy/dt)=2y(1-y/3) where y(1)=5

Q: Evaluate the expressions. a) 3-4 b) 9-2 a) 3 (Type an integer or a simplified fraction.) II

A: Evaluate the expression  a) 3-4      b) 9-2

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Q: (3 cos³ x-1 7. To evaluate dx, the integrand can be transformed to? 1-sin? x a. [(3cos³x+ csc²x)dx b...

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Q: Find the limit of the rational function (a) as x→0o and (b) as x- 0o. Write co or - oo where appropr...

A: The given function is: f(x)=5x+87x+7

Q: Find the limit of the rational function (a) as x→oo and (b) as x- 0o. Write oo or - 0o where appropr...

A: Given, f(x)=5x+87x+7

Q: L:(sin x – 1) dx + ,cos x + 1) dx =? c)-1 а.) -89 b.) -91 d.) - (1 +)

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: Assume you are given the surface S with equation ? 9 1. 4 O Find the equation of the tangent plane t...

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Q: (- + =) dx when evaluated is equal to 3Vx, 11 Find the value of a. The definite integral 12

A: Given problem:-

Q: - 14 Evaluate the integral: dx x2 Vx2 + 4 (A) Which trig substitution is correct for this integral? ...

A: Given problem:-

Q: (a) Show that if (a,342) = 171 and (b, 342) = 171 then (a+b,342) = 342. %3D %3D (b) Show that if (a,...

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Q: Question 6 Evaluate the integral f w(2w + 3)² dw ... A.) w4+4w³+w² + C B.) w4+2w³+9w² + C C.) w?(w2+...

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Q: In Problems 67-72, use the demand equation to find the revenue function. Sketch the graph of the rev...

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Q: Evaluate tan xdx O -V2 0 2 In 못 2 In 꽃 O -2 1n v2

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Q: Find a polar equation for the curve represented by the given Cartesian equation Note: show every det...

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Q: 81 구 4 The graph of f(x) is shown in red. Draw the graph of g(a) = f( – x). -8 -7 -6 -5 -4 -3 -2 -I ...

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Q: Substitution in the Indefinite Integral Part 1. Using the substitution: u = 10z² + 3z – 6. Re-write ...

A: Use substitution to integrate

Q: Perform the indicated operations and express your answer in decimal notation. 8.4 x 10-4 -4 8.4 x 10...

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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Q: Find the degree 3 Taylor polynomial approximation to the function f(x) = 8 ln(sec(x)) about the poin...

A: Given, f(x)=8(ln(sec(x))) Find Taylor polynomial of degree 3 about the point a=0 we know that  

Q: Find the vertex and axis of symmetry of the graph of the function. f(x) %3D х2 + 6х + 8

A: Given,           fx=x2+6x+8To find : The vertex and axis of symmetry of the given function.We know t...

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A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx F...

Q: x?+2 x2+1 1. What is an antiderivative of a. x + arctan x- 5 b. x+ arccot x c. 2x + 3 d. x + 2arctan...

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Q: The figure shows graphs of f, f', f", and f". Identify each curve, and explain your choices. Figure ...

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Q: For the following initial value problem, find the general solution, express the arbitrary constant C...

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Q: Š F(x)dx = 5, f(x)dx = 2, and f(x) dx = -1, find ſ f(x)dx. If %3D а. — 2 b. 2 с. -3 d. 3

A: Topic:- integration

Q: (αv) ^(rv (φλq) ^ Γv )]

A: The given statement      r∨p∧~r∨p∧q∧r∨q

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Q: Given a function f (x) whose graph is shown below. 3 |h -3 2 -11 2 3 -2- -3 Determine lim f (x). x-1...

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Q: In Problems 39- 42, find the equation(s) of the tangent line(s) to the graphs of the indicated equat...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

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Q: 59. Biophysics. In biophysics, the equation (L + m)(V+ n) = k is called the fundamental equation of ...

A: Given, (L+m)(V+n)=k Formula: d/dx (uv) =u(dv/dx)+v(du/dx)