solve the integral: integral from negative infinity to positive infinity [ (1)/(4x2 + 4x + 5) ] dx

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point (-...

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation...

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A: Light beam

Q: Consider the two functions fz) = 5x +5 and g(x) = 5x² - 5. a. Determine the instantaneous rate of ch...

A: rate of change means differentiate with respect to x so differentiate it f'(x) = 10x g'(x) = 10x   a...

Q: Differentiate implicitly to find 3xy +4y°z-2x = 3

A: Given query is to find the derivative.

Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

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Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship...

A: Question- At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knot...

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Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: Given: g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 Find (1) the derivative with respect to x and (2) th...

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Q: S tan-1(bx) dx

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Q: ASK Find the volume V of the solid obtained by rotating the region bounded by the given curves about...

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Q: 4. Indicate if each improper integral converges or diverges. a) ['te*dt dx c) Lo1+x -2t а) b) x -1 1...

A: The given integrals are: a) te-2t limit from 0 to infinity.  b) x/(x2-1) limit from 3 to infinity.  ...

Q: An investment loses 3.1% of its value every week. Find the half-life in this situation. The half-lif...

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Q: Show that the function has one zero in the given interval f(x)=x^4 + 3x + 1 [-2,-1]

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

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Q: 3. 2x y' = y(3x*+y?)

A: We need to solve the differential equation by integrating factor.   NOTE - As per Bartleby's guideli...

Q: Find the gradient of the function and the maximum value of the directional derivative at the indicat...

A: Gradient of a function f(x,y,z) is given by,          grad(f(x,y,z))=i∂∂x+j∂∂y+k∂∂zf(x,y,z) Maximu...

Q: Given the function f(t) = 4 e3 Use the Laplace Transform table to convert this function into F(s). f...

A: Consider the function  f(t)=t4e3t

Q: 0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: n. 2n + 1 Σ n tan -1 n n=1

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: With

A: As per the guidelines we can solve 3 parts only. 

Q: evaluate the function at the given point. f(x,y)=x2+y2, D={(x,y):0<=x<=1, 0<=y<=1}

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Q: dy Find given that dt dx x + y = 2x + 4y, x= 3 y = 1, and %3D = 6 dt dy %3D dt

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Q: Find a general solution to the given differential equation. y" -y'-56y = 0 A general solution is y(t...

A: If the roots m1,m2,...,mn of the Auxiliary equation is real and unequal then complete solution is   ...

Q: For the function f(x) x3/3 - 3/4 x2 - 27/2 x + 39 1. determine the coordinates of the turning oints...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Find the indefinite integral using a table of integration formulas. 2) SV25X2 + 100 dx

A: Given: - The indefinite integral is, ∫25x2+100dx To find: - The solution of the given indefinite int...

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0

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Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of conv...

A: Solution is given below:

Q: Suppose 8 is a real number constant. Evaluate the limits, writing your answer in terms of 3 where ap...

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

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 9) 3 v = 12' 3 O parallel O ...

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)...

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile i...

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Q: View Policies Current Attempt in Progress Locate the critical points and identify which critical poi...

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Q: find d^2y/dx^2: y^3=4x^6

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Solved below

Q: Find the average rate of change for the function over the given interval. 3 between x= 4 and x 7 y%3...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1 +...

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Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B) ...

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Q: Use polar coordinates to find the volume of the given solid. Above the cone z = (x2+y2)1/2 and belo...

A: We have to determine volumes of given solid

Q: (d) There exists a relation U on A so that U is symmetric and antisymmetric, but U is not transitive...

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Q: Hew-2 Find the directionat derivative of the funCtion X+XCos7-y Sinz +yat the faint Pe (2,=ly0 towar...

A: Answer is following-

Q: f(x) : 1

A: The given function f(x)=1x2

Q: MY NOTES Find the volume V of the solid obtained by rotating the region bounded by the given curves ...

A: Topic = Volume

Q: (-1)" 2'/n (2n² – 1)" en? n=1

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Q: Consider the following. y = 5x2 - 10x + 4 %3D

A: The given function,      y=5x2-10x+4

Q: xtan dx - y cos xdy = 0 a) Show that this equation is exact if not find identify the integration fac...

A: Let's find. 

Q: Find the vector component of v = 2i – j+ 3k along b = 4i + 4j + 7k and the vector component of v ort...

A: