Calculus Find the volume of the solid generated by revolving the region bounded bythe graphs of y=x, y=3, and x=0 about the line y=4. Round your answer to 3 decimal places or to th thousandths place

Q: Let g be a differentiable function of two variables, with first variable x and second variable y,…

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Q: X If z = tan € Y y=u²v², find the following partial derivatives using the chain rule. Enter your…

A: Here we have to find the partial derivative.

Q: Given that g'(x) = 21x²-17 and g(2) = 23, find g(x). g(x) =

A: Solution:-

Q: A tank with a capacity of 300 L is full of a mixture of water and chlorine with a con- centration of…

A: We need to find amount of chlorine.

Q: dy Find when y= dx (a) (c) ax² √bx+c abx² + 4acx (bx + c) √bx + c 3bx² - ax (bx + c) √bx+c :, where…

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Q: Find the linear approximation of f(x)=√x when x = -27.

A: Linear approximation is an approximation of a general function using a linear function. It is useful…

Q: Use a local linear approximation to approximate the value of 6(1.99)2 +3.02 by a rational number.

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=(2+x)2(1-x)3

Q: дz Use implicit differentiation to find and 3, Əy дz ?х

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Q: 10) (2+8)+10² +60÷10

A: BODMAS Rule As per the BODMAS rule, we have to solve in the sequence of Bracket, Order(Powers),…

Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the…

A: We need to graph the given functions and also need to write down the relationship.

Q: Given the demand equation x = 9+ 21 p' Elasticity of Demand = Therefore, demand is where p…

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Q: The daily cost (in dollars) of producing Samsung VR headsets is given by C(x) = 900+400x² + 5x3…

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Q: 3. Determine the following limit (tabulate). sin (t-1) lim t1 t²+2t - 3 O-1/4 O ⁰ O None of the…

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: The objective of the question is determine volume of the given bounded curve.

Q: 21-44. Determining limits analytically Determine the following limits. 26. (x-4) x-2+ x(x + 2) (x-4)…

A: 26. The given limits are, a) limx→-2-x-4xx+2 b) limx→-2+x-4xx+2 c) limx→-2x-4xx+2 Note:    Since…

Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: Use vector notation to describe the points that lie in the given configuration. (Let t be an element…

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Q: 1. Given the algebraic function x² xy + y² = 3

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Q: A دے 1. Graph the following pairs of functions. What is the domain of each? Where are the vertical…

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Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

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Q: Find the derivative of the function. 3 5)³ - (₁ y = 8x²-5 4-X

A: y = (8x2 -5/4-x)3  we have to find dy/dx here we use chain rule and make differentiation d(u/v)dx =…

Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: What single deposit of size $X into a fund paying 5% compounded annually is required at t=0 in order…

A: What single deposit of size $X into a fund paying 5% compounded annually is required at t=0 in order…

Q: 2. Evaluate the following limit (tabulate). 4- x² lim x+2 3-√√x² + 5 O None of the choices. O 0 O It…

A: limx→ 24-x23-x2+5

Q: Use the graph to determine (a) open intervals on which the function is increasing, if any (b) open…

A: Use graph to determine

Q: A business buys a computer system for $12000. The value of the system is depreciating and decreases…

A: We need to find out the value at the end of 3 years.

Q: lim 1 t-> +→> -∞0 17 + cot = ² +

A: note that cot^-1(- infinty)=0

Q: y = x(2x + 1)³, find y".

A: Topic = Derivative

Q: Find the equation of the tangent line to the graph of f (x) = 6x2 - 4x + 1, at x=1.

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Q: 1/2 4x³ 4x-3 5. S₁13 +2 -2 X - X dx

A: Let's solve given integration.

Q: Q1. Find Domain and Range of у sin(x)

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Q: Which of the following is/are functions? Select ALL the CORRECT answers. O Input (x) 2 Output (y) 12…

A: To be found - Functions from given options

Q: The derivative of f(x)=(31^1/2+x+x^−4)(5x^−2/3−6x^5/7) is f'(x)=

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Q: write the quadratic in standard / vertex form by the completing the square ' f(x)= x^2 + 10x +3

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Q: Solve (x² + y) dx + (y³ + x) dy = 0 O x^3/3 + xy + y^4/4 = c O x^3/3 - xy - y^4/4 = c O x^4/3 + xy +…

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Q: if f(x)=-(sqrt(81-x^2)) find the domain and range answer in interval notation

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Q: Given that f(x) = xºh(x) h(-1) = 4 h'(-1)=7 Calculate f'(-1). | Hint: Use the product rule and the…

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Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient That is: If h = 0,…

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Q: What is the derivative of f(x)= xe ?

A: To find the derivative.

Q: UPVOTE

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given  y=3x5-3x4+7x3-5x2+x-8 We know that d(xn)dx=nxn-1

Q: d²y dx² x = csc² (at) and y = cot(at), Find given the set of parametric equations (a) -tan² (at)…

A: Solution )

Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 1.…

A: Given y=x3x-14 and point 2,8

Q: d²y Find when ax + cos(by) = c, where a, b and c are constants. dx² (a) - a²csc² (by) cot(by) 1…

A: ax+cos(by)=c

Q: 5. Rewrite the expression as an algebraic expression in x X ~(-)). H=3 |x|≤3 (a) cos sin

A: Given:- cossin-1x3

Q: (5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U…

A: We need to find out the integration by using trigonometric substitution.

Q: 1. Given the algebraic function x² − xy + y² = 3

A: Here is the solution:

Q: Find the scalar equation of the line = (-3,4)+1(4,-1)

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

Q: c) lim 818 sin(x+3)

A: