Find the volume formed by rotating the region enclosed by: x = 7y and y³ = x with y ≥ 0

Q: Simplify cos(t)csc(t) to a single trig function.

A: As we know the trigonometric identities: 1). sinx=1cscx 2). cotx=cosxsinx   To simplify the…

Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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Q: Given that cos 0 = sin 20 = cos 20 = 60 and sin 8<0, determine the values of the sine and cosine…

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Q: Problem 6: Find the point (x,y) with x > 0 and y> 0 that lies on the curve y = 2x² and produces the…

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Q: Solve the FIRST ORDER LINEAR D.E. sin e Linear in r dr de = -1- 2rcos 0

A: To solve the given linear differential equation

Q: WRITE THE RATIO up! 3 I Tic 3 DIFFERENT WAYS •4:3 प 14.4 to 3 5.7 ARE FIND 3 EQUIVALENT RATIOS 14 3…

A: Please see the below picture for detailed solution.

Q: Given z = ² and y - sinh (21) where t > 0. Find and d'y dr² in terms of z.

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Q: 2. Find the sum of the series. ∞ 71=0) 312-4¹ 5n|1

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Q: 2. [xc xcos 3xdx

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

Q: The surface of an island is defined by the following function over the region on which the function…

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Q: (a) Find the intervals of increase or decrease.(b) Find the local maximum and minimum values.(c)…

A: We need to find graph and it's properties.

Q: Which hyperbolic identity corresponds to the trigonometric identity sin²(x) sinh2(x) = | 1 -…

A: Find the hyperbolic identity

Q: 4) Evaluate 0 2 X Je dy dx X

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Q: 2. Find a and b so that y = x³ + ax² + b will have a relative extremum at (2,3).

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Q: 4) 1z In 4

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Q: Calculate ff f(x, y, z) dS For x² + y² =9, 0≤ z ≤ 6; Js f(x, y, z) dS = ¯ f(x, y, z) = ez

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Q: Compute the flux of the vector field F(x, y, z) = 3i + 23 + 2k through the rectangular region with…

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Q: If a firm has the following cost and revenue functions, find the break-even points. + 1/2 x ²…

A: NOTE: Refresh your page if you can't see any equations. . given the cost and revenue functions are

Q: FIND THE 2ND DERIVATIVE 4. cos xy-y-3x = 0 Solution:

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Q: What is the general solution to the the differential equation3y"-y'- 2y = 10e*? A y=C₁e…

A: We need to solve D.E.

Q: 5. Evaluate the integral using the following: . Formulas: a. [²x²³ dx = 4/7/ [²³x³dx x³ dx b. L'a…

A: To evaluate the given integrals.

Q: f(x, y) = e 10x-z²+8y-y² Find and classify all critical points of the function. If there are more…

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Q: If f(x, y) = 4x² - 7y², then the total differential of fat x = 1 and y=-2 is; O df = 28 dx + 8 dy df…

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Q: Determine the integral that can be used to find the arc length of the curve defined by the…

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Q: 8. Given P(3, -9) and Q(0, -3), find the component form of PQ and PQ.

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Q: 12. R(y) = fr 1³ sint dt

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Q: 4. Given a function f(x) = 3x - 4 and the numbers xo = 2, L = 2, ε = 1. Then find a value 8 > 0 such…

A: Answer is given below

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

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Q: Find the equation of the tangent line to the parabola y 2x2x+3 at x = 2. Circle your final answer

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Q: Chapter

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Q: 35. F(x) = x4/5(x − 4)² 37. f(0) = 2 cos 0 + sin²0

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Q: 1. Find PS of y''' – 6y″ + 11y' − 6y = 0 given that when x = = 0, y = 4, y' = 5, y

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Q: Suppose that it is given to you that f′(x)=(x+4)(12−x)(16−x)f′(x)=(x+4)(12−x)(16−x) Then the first…

A: We need to find out the relative extremum and inflection points.

Q: Consider the function in the graph to the right. The function has a relative maximum of 3 o at x = 0…

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Q: Parameterize the ellipse given by x (t) = y(t) = 25 = 1 so that when t = 0, we have the point (5,0).…

A: Given Equation:- x225+y21=1

Q: Suppose F'(x) = 5x² + 6 and F (0) = 1. Find the value of F (b) for b = 0, 0.1, 0.4, 0.8, and 2.0.…

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Q: The integral ₁17x² - x² - 6x dx MUST be evaluated by breaking it up into a sum of three integrals:…

A: To evaluate the following integral. ∫-137x2-x3-6x dx

Q: a manufacturing company performs a quality control analysis on the ceramic tile it produces. Suppose…

A: Given Suppose a batch of 25 tiles has 7 defective tiles. If 5 tiles are sampled at random, exactly 1…

Q: For f(x, y) = e²¹+¹5%, find the second order partial derivatives fry and fyz of the function. O…

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Q: d. Find a, b, c, and d such that the function defined by y = ax³ + bx² + cx + d will have a relative…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Write the composite function in the form f(g(x)). [Identify the inner function u= g(x) y = √e*+…

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Q: Below is the graph of a function

A: From the given graph of the function. The value of function is defined independently at x=-3.

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: Find all the horizontal and vertical asymptotes (if any) of the function g(x)=|3x|· tan¯¹ '() Show…

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Q: Write an equation for the transformed logarithm shown below, that passes through (-3,0) and (-2,-3)…

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Q: Evaluate the integral.

A: Given,            ∫042sdsTo find : Evaluate the integral.We know that,             ∫2xdx=2xln2+C;…

Q: L₂ (3x + 4) dx

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Q: Find dy/dx. x= t/7+t, y= sqrt(7+t)

A: Given Equations:- x=t7+t y=7+t

Q: D. -5 Ar 우 선

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