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Q: nx" Determine the radius and interval of convergence: En=1

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Q: Use the given information to answer the question. The weight of an object above the surface of the...

A: Let the distance of an object from the center of the Earth = d The weight of an object above the sur...

Q: #7. Find a general form of an equation of the line through the point A thatsatisfies the given condi...

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Q: A sequence of fish-like figures is made from square tiles as shown below. The number of tiles used a...

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Q: Sketch the region enclosed by the given curves and find its area.

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Q: Write an equation describing the relationship of the given variables. y varies directly as the fou...

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Q: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be approxim...

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Q: P(X) - - 64 P(X)- Find all its zeros. State the multiplicity of each zero. (Order your answers from ...

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Q: The length of a rectangular box is to be twice its width, and its volume is to be 24 ft3. The materi...

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Q: Find the area of the region bounded by the given curve: x=e, y=0, y=1/x, y=x2

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Q: Consider F = (7xyz, 3x? + 2y² + 522, 3x + 6y + 4z). Then curlF = (6+ Az, 7xy – 3, Bx – 7xz) What is ...

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Q: A(1,2,3) and B(3,1,1) the AxB =

A: Given that A(1,2,3) and B(3,1,1) A×B=?

Q: Calculus Question

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Q: The area of a square is increasing at a rate of 64 centimeters squared per second. Find the rate of ...

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Q: Use calculus to determine (exactly) the x-values of the points ofinflections of f(x)=x6-25x4-4x+2500...

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Q: Calculus Question

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Q: Find two positive numbers with product 576 and whose sum is a minimum. Enter your answers in increas...

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Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the ...

A: The midpoint rule is given as Area = △xfx0+x12+fx1+x22+..... Here f(x) is the function and a,b is ...

Q: 5. Find the most general antiderivative of the following function. 2x? +5 f(x) = x² +1

A: Explanation of the solution is given below...

Q: Please help me with these precal math problems!

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: It's evaluating intergrals #5, and 6 thank you

A: Hey, since there are multiple questions are posted, we will answer first question.

Q: If f(a) = x+ Sx ,find (a) fezf"(20), C6) (f")'(20) 3.

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Q: Evaluate the integral by any mothod d choice: dx (b) e* dx

A: Consider the given: ∫1x-x3dxApply u substitution:u=x6∫1x-x3dx=∫6u3u-1du=6∫u3u-1duLetv=u-1,6∫u3u-1du=...

Q: Find the general solution of the equation xy' - y +y' =x Given that y, = x is the particular solutio...

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Q: 5 DIFFERENTIAL Equations

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Q: The volume of a closed cylindrical tin is 100cm^3 . Find the radius and height of the tin if the sur...

A: The volume of a closed cylindrical tin is 100cm3. Find the radius and height of the tin if the surfa...

Q: 23. Find the inverse of the matrix if it exists

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Q: Find the derivative of the function. s(x) = (x? - 1 s'(x) =

A: Given: s(x)=xx2−1x

Q: Use a linearization for the function √(121+x) to obtain an approximate value of √(125). You are not ...

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Q: We are given that the derivative of f is f′(x)=3x2−12x−15 and that f(1)=81. The absolute maximum v...

A: We are given that the derivative of f is f′(x)=3x2−12x−15 and that f(1)=81. The absolute maximum v...

Q: please axplain me step by step

A: Given that the marginal cost function is Cx=0.01x2-3x+229 and a marginal revenue function is given b...

Q: Consider the function f(x) = 5x3−3x5 a) Find the intervals where f(x) is increasing or decreasing. b...

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Q: 16 Evaluate | (-x-1/2 +5) dx. Enter your answer as an exact fraction if necessary. Provide your answ...

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Q: Calculus Question

A: Given : cosx+π3+cosx-π3=cosx

Q: A closed rectangular container with a square base is to have a volume of 1152 in³. The material for ...

A: Let the length of the base=xAnd height=ySo, the volume=x2y=1152Or, y=1152x2

Q: Consider the polar equation r= a cos(8) + b sin(8). (a) Express the equation in rectangular coordina...

A: Given: The polar equation, r = a cos(θ) + b sin(θ) To find: Center and radius.

Q: Use synthetic division to evaluate p(x) at x=2 P(x) = 4x^5 - 15x^3 + 11x - 20

A: Given: P(x)=4x5-15x3+11x-20 x=2

Q: 16 What is the value of the definite integral | (2t'/2 + 6) dt? Enter your answer as an exact fracti...

A: Given, ∫1162t12+6dt We know that, ∫fx±gxdx=∫fxdx±∫gxdx Therefore, ⇒∫1162t12+6dt=∫1162t12dt +∫1166 dt...

Q: Evaluate the following indefinite integrals a) ∫(cosx/sin2x) dx b) ∫e2x-1 dx

A: Part a, ∫cosxsin2xdx

Q: A leather soccer ball has an inside diameter of 8.5 in and a thickness of 0.1 in. Find the volume of...

A: Given: A leather soccer ball has an inside diameter is: 8.5 in A thickness is: 0.1 in We have to fin...

Q: I hope you can help number 5 finding the curvature.

A: Formula: curvature=r2+2r'2-rr''r2+r'232

Q: Finding critical points Find the critical points of ƒ(x, y) = xy(x - 2)(y + 3).

A: Given, f(x,y)=xy(x-2)(y+3)f(x,y)=x2y2+3x2y-2xy2-6xy Find ∂f∂x and ∂f∂y ∂f∂x=2xy2+6xy-2y2-6y∂f∂y=2x2y...

Q: Please solve without using L'Hospital's Rule and show all work. Thanks!

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Q: Find the equation of the line tangent to the graph of the function at the indicated point f(x)=x^2-...

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Q: Please help me with this problem. Thank you!

A: Given: The integral ∫082x3dx and n=8 To find: The exact value and approximated value using Trapezoid...

Q: ve the inequality. (Enter x + 3 x + 8 X-1 X-3

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Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center an...

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Q: Half complete. Need area of the given region in square units.

A: The given equation of the curve is: y=1x2-14x+50 The area bounded by the given curve and x-axis betw...

Q: The graph of the polar equation 8- is a line passing through the pole with slope

A: Given θ=π4

Q: Chapter 7, Section 7.3, Question 006 Evaluate the integral. cos (2 at)dt | cos° (2 at) dt = ? Edit +...

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Transcribed Image Text

Find the following product, and write the product in rectangular form, using exact values. [2( cos 60° + i sin 60°)][5(cos 75° + i sin 75°)]