Determine the area of the surface generated by rotating around the "y" axis, the curve described by:

Q: d d Calculate #ri(t) - r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product…

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Q: дz State the multi-variable chain rule for du z=z(t, s), t=t(u, v, w), s=s(u, v, w) if

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Solve the given equation in the interval [0,2 π]. Note: The answer must be written as a multiple of…

A: This question can be solved using the concept of solution of trigonometric equations.

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 7A…

A: Area of the Rectangle =(Length)(width). Perimeter of the Rectangle=2(length+width).

Q: d [rı(t)- r₂(t)] = [ dt d [ri(t) x r₂(t)] = dt

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Q: What can you say about the series Σan in each of the following cases using the Ratio Test? Answer…

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Q: a) Graph the function f(x)=x² + 2x b) Draw the tangent lines to the graph at the points whose…

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Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: Recall:  Consumer surplus=∫0x(D(x)-p)dx Given, p=​$150 p=​D(x)=300−0.05x

Q: y'+2y/x=x, y(1)=2, y(2) using h=0.1

A: given :y'+2yx=xy(1)=2, y(2) using h=0.1

Q: Q2: find dw/dt at given value point for the following function 1 V 2) w== + 2²,.x = cos²(t), y =…

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Q: Question 7 of 8 View Policies Current Attempt in Progress Find the limit. NOTE: Enter the answer…

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Q: The velocity of a particle moving in a straight line is given by v(t) = t² + 4. (a) Find an…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x = 2 MECHI y=0 (Type your…

A: Use derivative for finding the equation of line .

Q: Given the expression below, set up (DO NOT SOLVE) the partial fraction decomposition. (Use A, B, C,…

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Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

A: We have to find the exact values.

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: We have to calculate first and second number

Q: 5. Evaluate 4 1+√√/5x J -dx

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Q: af du (a) f(x, y) = sin-¹ (b) f(x, y): = x+y (c) f(x, y) = In ( t = 1 and u = 2 af and where Ət 2.…

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Q: Use an appropriate linear approximation to estimate cos(60.5°). (Round your answer to three decimal…

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Q: Fill in each blank so that the resulting statement is true. = The quotient rule for logarithms…

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Q: Use implicit differentiation to find the equation of the line which is tangent to the curve 2xy +…

A: Given equation: 2xy+3x2-5x=4 We know that slope of tangent will be defined by dydx-1,2

Q: Find an equation of the plane that is passing through the point and is perpendicular to the line L.…

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Q: The population of elk in a national park is given by the function 1000 P(t) = 1+15e-3t where t is…

A: This question can be solved using the concept of differentiation and limits.

Q: 1. Evaluate 2 0 X √1+ 2x² -dx

A: Answer is in step 2.

Q: Find the area of the shaded region. r = 4 + 3 sin 0

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Q: Given sin(a)= and a is in quadrant IV and sin(B) = and /2<B<. Use sum and difference formulas to…

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Q: how do I complete the square with problems like: 3y^2 - 4y + 4x = 0 Thank you for your help!

A: This is a problem related to quadric equation. Based on the general formula of quadric equation we…

Q: y = x² + 2, y = 2x + 5, x=0, x=6

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Q: Using integration by parts, which of the following options is true of Sx arcsec x dx? Ⓒ / x ² arc A…

A: To use integration by parts for ∫x sec-1(x) dx

Q: Find the gradient Vf at the given point, and compute the directional derivative of the function in…

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Q: Find the curvature and the radius of curvature at the stated point. π r(t) 10 cos(t)i + 10 sin(t)j +…

A: We are aske dto find the curvature and radius of the curve.

Q: So whats the answer

A: The question asked for the function f or ft. The last line was the answer.

Q: 15. What is the derivative of the function: F(x) = x cos(5x) F(x) = x cos(5x) F'(x) = (x)…

A: Solving

Q: 5. sin¹(sinh(sin(xy))) = 5x; y'

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Q: Define a weakly quasi-concave on a Cobb-Douglas Function

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Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: Given the system of equations 2x-3y9z = 14 x + 3z=-11 -3x + y - 4z = 21 (a) determine whether the…

A: Given problem:- Given the system of equations   2x - 3y - 9z = 14   x+32 =- 11   -3x+ y - 4z = 21…

Q: Find the average value of the function F(x,y) = x³x ++ the region 05 XS2 and 0≤ y ≤ x². over

A: Solving

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 3x² - 1 f(x) = Enter an…

A: The given function is f(x) = 3x2-1-x+3 We have to find the limit   ,    limx→∞f(x)    and…

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x² − 3y-4…

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Q: A lighthouse is on an island 500 meters off shore. The lighthouse beam makes a full turn every 7…

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Q: Write an equation of the form y = a sin bx or y = a cos bx to describe the graph below. → 2- प्र 3 n…

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Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

Q: Find the partial derivatives f(x,y)=e* sin(xy) of dx

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Q: 2. Use the guidelines to sketch the curve. Y In x x²

A: The given function is: y=ln xx2 Note that the domain of the function is (0,∞). First of all, let's…

Q: lim- LIMIT VALUE: z²-16

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: Question 1 Select all of the following graphs which represent y as a function of a. 4 U n J n U fest…

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Q: du u+√4u² - 1

A: