2 1) Fird dy using implicit differentiation X² + y ²³ = 7xy 2) Find the ein of the normal line to the curve 3 x²³² + y ²³ = 2xy at (1₁1)

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A: The region bounded by the curve y=costsint between t=0 and t=π2. We have to find the area of the…

Q: Evaluate the integral by making a u-substitution and then integrating by parts. ENOTE: Enter the…

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Q: Find a function ƒ(x) such that ƒ'(x) = −8x² + 1 and ƒ(0) = 1 ƒ(x) = |

A: f'(x)=-8x2+1f(0)=1∫xndx=xn+1n+1+c

Q: been modelled as a = e4xx. 4 The acceleration of an object moving in a strange way has a) Use…

A: The acceleration of an object moving in a straight way has been  modeled as a=e4xx. (a) By using…

Q: etermine the absolute extrema of the function f(x) = (x - 3)e terval -2≤x≤1. on the

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Q: Find the two places on the curve y = x¹/³ - 8x²/3 x4/3 Y where the tangent is horizontal. (a) The…

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Q: If the vector field F = (f.g) is source-free (zero divergence), then a stream function y exists such…

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Q: Give the derivative formula for the function. f(x) =  6x2−3                 3x

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Q: Which of the following integral gives an equivalent area solved by the integral: S™/6 O So -1 cos…

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Q: following •f(x) > 0, 1<x<2 • f'(x) < 0; -2<x<1 · f' (1) = 0 Given the sketch f(x)

A: Please see the below picture for detailed solution.

Q: Given that s(x)=x3+2x+2, find (s−1)′(2) using the Inverse Function Theorem. Note that s(0)=2. (Do…

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Q: Graph the following equation using reflections and shifts. f(x) = (-x+ 1)² +2 O 17

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Q: Give the derivative formula for the function. g(x) = 6x2/3 − x−1/3

A: To find the derivative

Q: Replace the polar equation r= The equivalent Cartestian equation is y= Choose the correct graph…

A: Given: r=7sinθ-2cosθ

Q: O False

A: For the graph of g(x) to be false ,we need at least  one point which do not satisfy.

Q: Use the power series 00 Σ (-1)"x" n = 0 to determine a power series, centered at 0, for the…

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Q: A farmer wants to build two adjacent rectangular pens sharing a common side. Each pen needs to be…

A: A farmer wants to build two adjacent rectangular pens sharing a common side. Each pen needs to be…

Q: Explain the meaning of direction angles and their relation to direction vectors. What are the…

A: Answer: As per the guidelines, we can solve only first 3 subparts only, so post remaining parts…

Q: Minimizing Construction Costs The management of the UNICO department store has decided to enclose an…

A: Let us assume that the two pine board sides are of length x ft each And let the length of the steel…

Q: Find the angle between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) (a) radians 0…

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Q: Find a function f: R → R that is continuous at exactly one point.

A: We will find the required.

Q: Use interval notation to indicate where f(x) = x+2 if x 1

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Q: line to the graph of y = g(x) at x = 4 is 4x+12y = -56 It follows that y = is the equation of the…

A: Given that at x=4, 4x+12y=-56 is a tangent.

Q: Find the location of the absolute extrema of f(x) Absolute maximum at x= Absolute minimum at x = -…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that f(9) = 13, f(13) = 3, f'(13)=9, f'(9) = 7…

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Q: Find the line integral of F= √√zi-2xj + √yk, from (0,0,0) to (1,1,1) over each of the following…

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Q: 2 2 X-9 Find lim- a. x→3+ as b. x→3 C. X→-3+ d. x→-3

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Q: Write an inequlity comparing n²-3 n5 +3 (Express numbers in exact form. Use symbolic notation and…

A: Comparison Test: Suppose we have two positive term series ∑n=0∞an  and ∑n=0∞bn such that an≤bn for…

Q: Find the linearization L(x) of the function at a. 3 f(x) = √√√x, X, L(x) = a = 125

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Q: Suppose f(x) = xe-³x, 0≤x≤ 2. Use the Closed Interval Method to find points at which the absolute…

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Q: P f(x) dx = 8, prove that f takes the value 4 at least once on the interval [1,3]. there is a value…

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Q: 4. Find the gradient of the line normal to the tangent line of the function y=√√(x+2) (2-3x) at x =…

A: To find the gradient of the line normal to the tangent line of the function  y=x+22-3x at x=2.

Q: Find the minimum cost of a rectangular box of volume 190 cm³ whose top and bottom cost 4 cents per…

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Q: Evaluate the following integral using a change of variables. y-x SS(+2x+1)* y + 2x + 1 R 4…

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Q: Use the equation 3 1- x4 (Express numbers in exact form. Use symbolic notation and fractions where…

A: According to question,Given equation,11-x = ∑n=0∞xn            for x&lt;1

Q: Evaluate the triple integral over the indicated bounded region E. JIS (x + 2yz) dV, where E = {(x,…

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Q: Model the data using an exponential function f(x) = Abx. f(x) = x 1 f(x) -51 X 2 -65.025

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Q: Given the series ∞ 5″ Σ n=1 n an+1 an (Express numbers in exact form. Use symbolic notation and…

A: given  ∑n=1∞5nnthere for  an=5nn

Q: 1 1. S x(lnx)² 2. S dx sin 0 cos² 0-cos 0-2 de

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Q: Use logarithmic differentiation to find the derivative of the function. y = x6/x x²

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Q: 3. Differentiate the functions below. 5) y = (2x5 + 3)cos x²

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: ]]] B e dV where E is enclosed by the paraboloid z = Evaluate x² + y² = 3, and the xy plane. 2 + x²…

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Q: Evaluate the integral using partial fraction method S Evaluate the integral using integration by…

A: To find integral. As per our guidelines we are supposed to answer?️ only one question. Kindly repost…

Q: Find the terminal point of if the initial point is (6, –8). The terminal point is (i e Textbook and…

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Q: Find the first derivative of f(x) ƒ'(x)= = 8x + 10 19 x

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Q: I. Evaluate the following limits of trigonometric functions. Provide solutions and box your final…

A: To evaluate the given limit of function

Q: how do I find the inverse of f(x) = 2(√x) + x^3

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3) [ (37²-37) dx x3

A: According to bartleby guidelines , we can answer only first question (due to multiple questions). If…

Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6

Q: Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a zero…

A: To find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a…