Which of the following integral gives an equivalent area solved by the integral: S™/6 O So -1 cos ¹()dx fő cos-¹(x) dx fo cos ¹() dx Ofcos ¹(x) dx Of cos 3x dx?

Q: Macmillan Learning Find the interval of convergence of (x-4)" In (3n) n=2 (Use symbolic notation and…

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Q: 8. Practice similar Help me with this Calculate the integral, if it converges. If it diverges, enter…

A: The given integral is 1/(x2+9), limit 1 to infinity.

Q: Find the centroid of the region bounded by the given curves. x + y = 2, x = y2

A: According to question,Given curves,x+y =2,x = y2

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

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. O 1747 840 1171 280 1747 420 1171

A: Solving the following problem

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 5) [615 (1³3) - 3)' dt

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Q: Consider the following series. (-1)^+1 n n² +9 n = 1 Find the following limit. (If the limit is…

A: To Find : limn→∞nn2+9

Q: Triangle ABC has vertices A(4, 7, 7), B(1, 6, 5), and C(–2, 9, 8). Which kind of triangle is ΔABC?…

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Q: Simplify sech (3 ln (2x))

A: K=sech(3ln2x)we know sechx=2ex+e-xwe know  elnx=x

Q: Could a step by step solution be provided with this question? Many thanks.

A: We will find the required.

Q: Derivatives inverse thank you

A: Here we have to find the tangent line.

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: Minimize Q = 4x^2 + 3y^2 where x + y =7

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Q: ((x+2)−2/3) + (x+2)¹/3 4. f(x) = x (1²(x+2)-2/3). Note: This is the form that the first derivative…

A: We need to find out the intervals where function is negative and where function is positive.

Q: 1. The market research department of a company recommends that the company manufacture and market a…

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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: Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave…

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Q: a) The differential equation (2²+4)y" + zy=0 is solved by the series y = 1=0 The radius of…

A: The differential equation (x2+4)y''+xy=0 is solved by the series y=∑n=0∞​an​(x−2)n. To find : The…

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

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Q: Find the following limit. 25√√x - √√x 3³√√x +3¹/√x lim X→ ∞ 3 lim x→∞ 2³√x - √√x 5 3√x + 3√x 11 co…

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

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Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) - J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

Q: 4 6y' – 2y = xy¹, y (0) = -1

A: The given differential equation is: 6y'-2y=xy4        ......1  Initial condition y0=-1

Q: 1) y(x) = x, y₂(x) = z lnx, and y(x) = z² are solutions to a third order differential equation.…

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: x(t) Find the point at which the line y(t) z(t) = = -4-3t -8-5t intersects the xy plane. 4 - 6t

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Q: find the derivatives of the functions using the product rule. 1. √√625x² ⇒ √625 - x² x20 2.

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Q: Give the derivative formula for the function. f(x) = 2x−3 + ln(3)

A: Given : f(x) = 2x−3 + ln(3)

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: substitution method [ sin³ (7) cos (1) da dx 3

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Q: We know how to determine if a given table with x and y represents a function of x or not. In this…

A: x is a function of y    here we find value of c by equating two values at same point

Q: Find the values of m and b that make f differentiable everywhere. Sx² m = b = f(x) = mx + b if x ≤ 5…

A: Here we have to find the value of m and b.

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

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Q: Find the area of the surface S, where S is the surface given by r(u, v) = (u cos v)i + (u sin v)j +…

A: Given Surface equation:- r→u,v=ucosvi→+usinvj→+uk→

Q: A(x) = 2x³9x² + 4 Find the absolute maximum and absolute minimum value of A(x) over the interval…

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Q: Find u and v if u+6v = 6i- k and 3u-v=i+j+ k. NOTE: Enter the exact answers in terms of i, j and k.…

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Q: Integrate the function. √√36-x² dx O 18 sin O sin ¹ (-2) + x√/ 36 - x² + C +C 2 O 36x √√36-x²…

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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: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. 0 0 O 02-6) dx 을 3/

A: H=∫-11(x2+6)dx∆x=b-anT4=∆x2f(x0)+2f(x1)+2f(x2)+2f(x3)+f(x4)

Q: it exists) integral (if it exists) Find the indicated integral (if ·∞ e4x e8x + 1 dx =

A: The given integral is e4x/[e8x+1], limit from -infinity to infinity.

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: Let 7 sin x + 7 cos y = 5. dy dx d'y dx² 5 cos x 7 sin y 0

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

Q: g(x) sinh x² find the derivative.

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Q: Find the interval of convergence of Σ M8 nt gan 24n

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: 37 4 S 7 9 cot8 0 csc²0 de

A: ∫π43π49cot8θcsc2θdθ

Q: Use the following function and its graph to answer (a) through (d) below. Let f(x) = choice. 6-x,…

A: Given function:- fx=6-xx<4x+1x>4 Graph of function

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

A: To find the derivative

Q: Let an = an lim = n→∞ bn O Calculate the limit. (Give an exact answer. Use symbolic notation and…

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Q: Find the average value of f(x) = Enter the exact answer. fave = x (2x² + 1)² over the interval [1,…

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Q: 1 // √₂²²² + 3² + ²² dV, where E lies between the spheres x² + y² + z² = 16 and E Evaluate x² + y²…

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