6) (-2√2,2√2) 3 3√3 8) 2 10) (-2,-2√3)

Q: dw dw For the functions w= - 4x² - 2y2, x= cost, and y= sint, express as a function of t, both by…

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Q: Use the graph of the function y=f(x) below to answer the questions. y 5- # 3- 2+ 1- -5 -4 -3 -2 -1 4…

A: The given graph is:

Q: find the inflection point to the right of y-axis of the curve defined by the equation, y=x^2/2 +…

A: Given problem :- find the inflection point to the right of y-axis of the curve defined by the…

Q: Given cost and price (demand) functions C(q) = 130q+46,300 and p(q) = -2.6q+890, what price should…

A: Given problem:- Given cost and price (demand) functions C(q) = 130q + 46, 300 and p(q) = - 2.6q +…

Q: 3. A box sitting on a wagon pulled a distance of 27m by a 35N force applied at an angle of 40° to…

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Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

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Q: Fermat's theorem states that if f has a relative extremum and if f'(x) exists, then f'(c) = 0.…

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Q: (e) ƒ(x) = x³ (x + 5)²

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Q: dy Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dx…

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Q: A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by…

A: Given: y=3x12 At y=0, x=0 The surface area of the surface of revolution formed by revolving the…

Q: From a certain instant, a right circular cylinder has a radius of 10 cm and altitude of 15 cm.  At…

A: This question is related to rate of change, we will solve it using given information.

Q: (D-3)³(D² +9)y=0

A: The answer is given below:

Q: (20-0) Given that = 5and 이히 = 3 1 6. Round your answer to one decimal place. = 3 and that (2a ›(à +…

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Q: Convert each pair of polar coordinates to rectangular coordinates 1. (2,315 degrees) 2. (1,…

A: 1) We know that relation between cartesian co-ordinate and polar co-ordinates, x=rcos(θ),…

Q: An open-top rectangular box is being constructed to hold a volume of 400 in ³. The base of the box…

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Q: 2 2 dx 2x (V2x + 9)

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Q: 6. If fand g are two differentiable functions at x, then 7. The derivative of the identity function…

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Q: 1. Evaluate the given integral Q. a = f £²² L [²(x - y) Q dx dy 2. Sketch the region of integration…

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Q: 12. Find the integral of S (x². √(x² + ² =) dx

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Q: A forest has a population of cougars and a population of chipmunks. Let a represent the number of…

A: Let's solve both parallel diffrential equation.

Q: Solve the following problems showing detailed solutions.Draw the complete figures for each question.…

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Q: A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions of the can,…

A: Given problem:- A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions…

Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

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Q: 0 Compute the integral: I alned

A: LetI=∫01xlnxdxApply integration by…

Q: TYPEWRITTEN ONLY PLEASE. ILL UPVOTE ONLY IF TYPEWRITTEN, COMPLETE, AND CORRECT. DONT ANSWER IF YOU…

A: To differentiate the functions.

Q: Evaluate f x5 dx - √√x6-1

A: Topic:- indefinite integration

Q: S dx x² √√x²-1²

A: Follow the procedure given below.

Q: 2. Use integration to find the volume of the solid generated which is bounded by x + y = 2 and the x…

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Q: Find the area bounded by the line y = x+2 and parabola y = x².

A: We can solve this as follows:

Q: d. In 1000 x limx→+00 X5

A: Let's evaluate limit.

Q: 7. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

A: Given

Q: f I. Evaluate tan 2x dx

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Q: Give the tightest possible bound (as a Big-O of N) for each of the following functions: 1) f(N) =…

A: Given

Q: dx + dy = 0

A: The given differential equation is dy+dx=0  .............................. (1)

Q: The area of the region bounded by the curve y = x² and the line y = 16 64/3 256/3 128/3 32/3

A: Given :   y=x2 y=16

Q: Find the equation of the tangent line to the graph of the function f(x) = sin (3√√) at the point

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Q: 14 Find f(x) dx for each graph of y = f(x). 0 (a) Q (b) 16- 0 888 16 16+ y BABBARBADE 0 16 Q

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Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

Q: (2x²² +ex) dx + (x² + 1) = "² dy (x²-y) dx x dy

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Q: 5. Use the graph to estimate the limits or explain why the limits do not exist. V (a) lim F(x) x-0…

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Q: 3√3 dx √3 x² √√x² +9 2

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Q: Practice Problem Instruction: Find the coordinates of the midpoint of a segment with the given…

A: This is a problem related to midpoint of the line segment. based on the general formula and concept…

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: Find the center of mass of a thin plate of constant density & covering the given region. The region…

A: Let's find center of mass.

Q: 5/16 Find the enclosed area by the curve with equation y = 4-²,the X-axis and the lines x = -1 and x…

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Q: The graph of y=f(x) is shown. Draw the graph of y = -f(x). 17 Ex X 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: M8 1 Σ n=1 h n’ + 8 +8 3

A:

Q: 6) A force, F, of 52 N is acting in the direction of a = [2,5] a) Find a unit vector in the…

A: We need to find unit vector and force.

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

A: