Solve the equation for x in terms of the other letters. (Enter your answers as a comma-separated list.) (ax + 8b)²(bx + 8a)2 = 0, where a ‡ tb X =

Q: Set up an integral that represents the length of the part of the parametric curve shown in the…

A: x=tcos⁡(t),y=t−6sin⁡(t),

Q: What is the unit tangent vector T(t) on the curve r(t) = (sin(t), 3, 2 cos (2t)) when t = 0? Select…

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Q: Evaluate the limit: limħ– →0 0-2 01/1/20 0 - 12/1/2 2 an ( 7 +h)-tan (7) h

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Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: The populations of Towns A, B, and C vary exponentially with respect to time.1.The population of…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: f(0) = ln(cos 0) f(x) = log5 √√5x+1

A: f(θ)=ln⁡(cos⁡θ)

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Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) 128 (b)…

A: Note: As per our guidelines, we can solve first three sub parts as your all parts are not small.

Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

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Q: = O Trigonometric Identities and Equations Proving an identity using fundamental trigonometric…

A: 1+tan2x

Q: Answer the following True or False: p(x) If p(x) and g(x) are polynomials such that p(6) = 0 and…

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Q: how much must be deposited now? The interest rate is 9%, compounded

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Q: Consider the function f(x, y) = (4x-x²) (2y - y²). Find and classify all critical points of the…

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Q: 6x Find the limits in a), b), and c) below for the function f(x) = - X-5 Use -∞ and ∞o when…

A: given limit to find

Q: Find the general solution for y-sy+2y=10 Sin x + 1

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

A: The following table shows the daily receipts in millions of dollars of the move "The Hunger Games"…

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Assume that  are both  differentiable  functions of t.(a) To find , given that (b)  To find , given…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: X 3. Verify that f(x)=- satisfies the conditions of the Mean Value Theorem on the closed interval…

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Q: Find the differential dy. y = ex/5 1_5x dy || Evaluate dy for x = 0 and dx = 0.01 dy = 0.002

A: Consider the function

Q: Find the ² points on the curve y = (x − 1)(x² −4) where the tangent line is parallel to y = −4x.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: To test this series for convergence ∞ n=1 n n6 + 7 You could use the Limit Comparison Test,…

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Q: Sketch the region enclosed by y = 7x and y = 8x². Decide whether to integrate with respect to x or…

A: In this question, we will find the area of the region.

Q: Evaluate the integral. +C 2x + 9 x² + 6x +34 17 -da

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. π [7] 0, 2 f(t)= 2…

A: In this question, we will find the absolute maximum and minimum values.

Q: Find aw/as and aw/at using the appropriate Chain Rule. Values Function w = y³ - 2x²y s=-3, t = 6 x =…

A: To find  by using the appropriate Chain Rule.Function: Values: To evaluate each partial derivate at…

Q: (a) Isolate h. V = { Tr² x

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Q: use implicit differentiation to find dz/dx, where it is defined, if ln(x^2+y^2+xz)=5

A: The given equation  is

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

A: Consider the series

Q: 7. Given F(x)=√√√x+3 A. Find (fo (fog)(x) B. Find (9°F) (2) gof) → g (x) X -2 report domain and…

A: f(x)=sqrt(x+3)g(x)=x2-2.

Q: 3 f(x) = x³ – 3x² + 4

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by x² +…

A: By using the implicit differentiation to find an equation of the tangent line to theellipse defined…

Q: Answer the following questions for the function f(x)=x√x² + 36 defined on the interval -4 ≤ x ≤7.…

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Q: Given the function f(x) = -2x² Find the difference quotient Find f'(x) by determining lim h→0 -4…

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Q: dy d²y Find and dx dx² x = t² + 2, y = t² + 3t dy dx d²y dx² For which values of t is the curve…

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: To determine the given equation is linear or non linear.

Q: 1) fx²e-3x dx/

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Does the series below converge or diverge? If it converges, find its sum. Either way, justify your…

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Q: d the derivative of :) = €5* (x² +9¹)

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Q: Suppose that lim f(x) = 6 x 3 and lim g(x) = 8 x-3 Enter the exact value of lim (fg)(x) 2-3

A: Suppose that .To find the exact value of .

Q: For every solution y(x) of the equation y''+ 2y'+ 5y = 0 it is true that limx→∞ y(x) = 0. ?

A: Consider the equation

Q: Use spherical coordinates. Evaluate JJJ y²z² dv, where E lies above the cone 4 = 1/3 and below the…

A: G

Q: Which polar coordinate pair corresponds to the same point as (-1,)? © (1,4) (1, ²) o None of the…

A: To find the polar coordinate pair that corresponds to the same point as .

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

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Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. maximum value:…

A: To find the maximum and minimum values of f(x,y)=xy on the ellipse 5x^2+y^2=4, you can use the…

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square base = x cmLet height of box = y cm

Q: Suppose that f(x, y) = y√x³ + 1 on the domain D = {(x, y) | 0 ≤ y ≤x≤5}. Then the double integral of…

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Q: x³ (4x - 4)5 Let f(x) = 3x² - 3 If we use the method of logarithmic differentiation to find f'(x),…

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Q: The general solution of the equation y'' − 6y' + 9y = 0 is given by y(x) = e^(3x)(C1 + C2x). Is this…

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