Write each equation in polar coordinates. Express as a function of t. Assume that r > 0. (C) x² + y² - 10x = 0

Q: Let ƒ(x) = x³ – 15x² +27x - 2. Find the open intervals on which f is increasing (decreasing). Then…

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Q: S E none of these F u= (2-4x) 1/4

A: We need to find out the correct option for the substitution.

Q: In the accompanying diagram, right triangles AOB and COD are inscribed in circle O, which has a…

A: Topic- Area of shaded region We are given  Right triangles AOB and COD are inscribed in circle O ,…

Q: Question 4 Your answer is CORRECT. Suppose that f is a differentiable function of x and y such that…

A: We have to find if (0,0) and (1,1) are saddle point or extreme points.

Q: 4. Find the critical points of the following function 2 f(x) = =+ lnr, I>0. I

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Q: Water is leaking out of an inverted conical tank at a rate of 8000 cubic centimeters per min at the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine the vertex, focus, directrix and axis of symmetry of the parabola with the given equation:…

A: we need to find out the vertex, focus, directrix and axis of symmetry of the parabola and also need…

Q: 1. Find the exact value of the iterated integral: 11₁ If sin(x²)dxdy 0 y

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Q: Find the work done by F(x, y) = 3yî + 2xĵ in moving a particle along x = 2y2 from (2, 1) to (8, 2).

A: The solution to find work done by given force is as follow.

Q: 8. Consider a'y dA, where R is the region bounded by 0 ≤ x ≤ 2, a ≤ y ≤0+4. (a) Sketch the region of…

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Q: Consider U₂ x²y dA, where R is the region bounded by 0 ≤ x ≤ 2, x ≤ y ≤ x +4.

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Q: Question 1 Evaluate the integral. 2xsinxcosxdx Ax cos 2x - sin 2x + C B-x cos 2x + sin 2x + C C) -x…

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

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Q: (c) Check that your solutions t substituting the expression 63. xy + 2x + 3x² = 4

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Q: Consider the function below. In x 9√x (a) Find the interval on which f is increasing. (Enter your…

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Q: SO S integral by reversing the order of integration. 1. Sketch the region of integration for X 1+y5…

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Q: Consider two nonnegative numbers x and y where x + y = 11. What is the minimum value of 7x² + 13y?…

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Q: = x³ +. 5. f(x) = 忘 3x = y + 4 = U x + 2y 6=0

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Q: Find equations of the tangent line and the normal line to the graph of the given function at the…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative of the expression.

Q: couple believes they can afford a monthly house payment of $2,100 and would like a 30-year…

A: Given query is to find loan amount.

Q: Use the Newton's method to find the positive root of equation x² -2=0 to three decimal points.

A: we need to find out the positive root of equation using Newton's method.

Q: Find the equation of the line tangent to the graph of f(x)=(lnx)2 at x=9.

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

Q: The linear approximation at where A is: and where B is: = 0 to sin (3x) is A + Bx

A: We need to find Linear approximation.

Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

A: for inflrction points  put   f''(x)=0d dx(xn)=nxn-1d dx(constant)=0

Q: dz Given z = xy + sin(xy2), with x(t) = 2t + 1 and y(t) = -t², find dt t=1

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Q: 2 + 3. The velocity of a particle moving in a straight line is given by v(t) = t² + (a) Find an…

A: The velocity of a particle moving along a straight line is given by vt=t2+3 We have to find the…

Q: Convert (y) = 5 to an equation in polar coordinates. 7.12 Note: use "t" for

A: Given query is to find the equation of the polar coordinates.

Q: d. Find the reflection of v = with equation 2x+y - 5z = 0. 0 1 -3 - in the plane

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Q: Evaluate the limit: lim, +∞ (e² + x) =

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Q: Calculate the limit for the function f(x) = 2x + 4 over the interval [0, 4]. Verify your answer by…

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: The function f(x) = 2x³ - 45x² + 300x + 9 has one local minimum and one local maximum. Use a graph…

A: Topic - Local extrema's of a function We are given an equation, f(x)=2x3-45x2+300x+9And it's known…

Q: Estimate f(-1.02, -0.97) given that f(−1, −1) = 3, fx(−1, -1) = −2 and fy(-1, -1) = −1.

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Q: Given f(x, y) = sin(x2) + xy³, find Duf(x, y) where u is in the direction of (1, 2). What is Duf(-2,…

A: To find the directional derivative of given by function

Q: Find the differential equation by eliminating the arbitrary y = Asin 5x + B cos 5x constant State…

A: we need to write down the differential equation by eliminating the arbitrary constant.

Q: Question 5 Find the area bounded by the given curves. y = 0.5x 2, y = -x ² +6

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Q: he manager of a large apartment complex knows from experience that 110 units will be occupied if the…

A: NOTE: Refresh your page if you can't see any equations. . x=number of units y=price per unit from…

Q: (c)  Compute the Jacobian J (u, v). (d)  Set up but DO NOT evaluate the integral using the work…

A: We need use transformation here

Q: sinking fund is established to discharge a debt of $40,000 in 5 years. If deposits are made at the…

A: Given query is to find the amount of each payment.

Q: f(x) = 4x√√√2x² +1

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Q: дz дz Given xyz = z + sin(x + y), find and Әх ду

A: The given multivariable function is:xyz=z+sin(x+y)

Q: Calculate the limit for the function f(x) = x + 4 over the interval [0, 4]. Verify your answer by…

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Q: 5. Determine the location and value of the absolute extreme values of f on the given interval, if…

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Q: Use a geometric series or the nth-Term Test to determine the convergence or divergence of the…

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Q: A supply function and a demand function are given. Supply: p=q² +8 Demand: p = 73 - 29- 29² (a)…

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Q: Consider two nonnegative numbers x and y where x + y = 2. What is the maximum value of 11x²y? Enter…

A: Let's find maximum value of function.

Q: The total cost (in dollars) of producing a coffee machines is C(x) = 2400 + 60x -0.2x². (A) Find the…

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Q: 4 16-y² •LIV (1 − g? _ g) dedy. 2. Use polar coordinates to evaluate

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Q: Initially an 800 gallon tank contains 400 gallons of water in which is dissolved 50 lbs of salt.…

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