Differentiate O y = arctan √3x

Q: e-n n(n + 1) E(-1)"+1. n=l

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Q: Use Lagrange multipliers to minimize the function f(x,y,z) = x² + y² +z² subject to the following…

A: The given function is;  f(x,y,z)=x2+y2+z2 Constraint: x+y+z-33=0.

Q: Find the solution of the initial value problem y" + 6y + 18y = 0, v (-) = 0, v (²) y(t) = = = 6. How…

A: The given initial value problem is y''+6y'+18y=0  with yπ2=0,  y'π2=6. At first we solve the…

Q: Suppose you use Newton's Method to approximate a solution for f(x)=x³-4 with an initial guess of Xo…

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Q: X(f) -2rift dt (A)e-2mift dt S+xx(t) T + 27/2 w did he get the ue inside the circle

A: Topic:- application of integration

Q: A 19 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t = 0…

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Q: Question 19 Which statement(s) is(are) true? □ Iff has an absolute maximum at ein [a, b). then f(c)…

A: The objective of the question is choose the correct option.

Q: - NASA launches a rocket at t 0 seconds. Its height, in meters above sea-level, as a function of…

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

Q: dx 2+2 sinx + cos x

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Q: The number of bacteria in a refrigerated food product is given by N(T) 3 T 33, where T is the…

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Q: per distance between the bottom of the ladder and the wall? Oft/min O-4ft/min Oft/min 4ft/min…

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Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) -5…

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Q: For the equation given below, evaluate y at the point y - 6x² + 24 = 0.

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Q: use the if f₁ (t) properties of Fourier transform ē at ult) = JF.T =jº f(t) = ³wt dt 88 Seat, ejut…

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Q: Find the angle of inclination of the tangent plane to the surface x²-2y² + z = 0 at the point…

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Q: Evaluate e 2 e D dx 2 X (LAX) ²

A: In this question, we want to evaluate the given definite integral.

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

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Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) 15…

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Q: r3 0 d.x 16+ x²

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Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constarit. >2 where 3 x? as a ad…

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Q: Write an equation for the quadratic graphed below: x-intercepts: (-2,0) and (3,0); y-intercept:…

A: NOTE: Refresh your page if you can't see any equations. . x-intercepts are so the factored form of…

Q: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

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Q: Find the derivative of f(x) = 6 sin¯¹(x + 4). You do not have to expand out your answer. ƒ'(x) =

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: Maximize f(x, y) = √11-x² - y² Constraint: x+y=2=0 )

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Q: lf f(x) = 3x sin x cos x, find f'(x)= To two decimal places, Find f'(2) =

A: f(x) = 3xsinxcosx find f'(x) = ? and find f'(2) = ? here first we use formula 2sinxcosx = sin2x and…

Q: 7. Let f(x,y)= a) T 2 xsin y-y, find sin x+y Simplify and give exact value

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 3 S4e³ lnx dx

A: This question is related to Indefinite integration, we will solve it using given information.

Q: A definite integral property says f₁² ƒ' (x) dx + f² ƒ' (x) dx = S² ƒ' (x) dx. What is ff'(x) dx? O…

A: Given graph of f'(x)

Q: Why did the sign change from positive to negative?

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Q: Find the angle between the vectors in radians and in degrees. u = 8i + 3j + k v = 3i - 8j (a)…

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Q: Case Scenario/Problem Real World is television production company that manufactures movies. The…

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Q: A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z…

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Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…

A: To find out the exponential equation to model this.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: A truck with 26-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

A: We know that 63360 inches = 1 mile.60 min = 1 hourGiven45 mi/h = 45/60 miles/min = 0.75…

Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…

A: Given half life of Krypton-85  is   t1/2=10.76 years

Q: Evaluate the iterated integral below. П | 1 S. * S'y cas (x) dy Só 0 0 dx

A: While doing multiple integrals, consider everything constant except the integrand variable.

Q: Evaluate the iterated integral below. TU /4 1 *** s y cos (x) dy dx 0 0

A: We need to find out the double integration.

Q: 2. Find the curvature of f(x)= x cos²x at x = π

A: The solution is given below

Q: Find h' (1) for the function h(x) = f(x)f(x). h'(1) = f(1) = 5 and f'(1) = 1.

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Q: 1.) Find polar coordinates (r,8) for the point P that has Cartesian coordinates (x, y) = (5,-5) such…

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Q: Evaluate the iterated integral below. π/4 1 S. S'y co Só 0 0 y cos (x) dy dx

A: Solution…

Q: Use the method of variation of parameters to determine the general solution of the given…

A: Determine the general solution of differential equation…

Q: Question 3 of 10 lim Given f(x)=-1 find the following limit 3/7f(x)-g(x)² ling(2)+1 39(0)1 and lim…

A: Given :limx→2fx=-1 limx→2gx=1      limx→27fx-gx2gx+13

Q: a. faxy, b. fxyx, and c. fyxx. 4 33. f(x, y) = x²y³ – e ²x

A: Solve the following

Q: Suppose that f(x) = 6x + 3x². Evaluate each of the following: ƒ'(2)= f'(-1)=

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Q: By using the substitution t² determine the convergence of = S ∞ dx (x+1)√√x*

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Q: Evaluate the integral and interpret it as the area of a region. 6 •π/2 19 sin(x) - 9 cos(2x) dx

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Q: Find the solution of the given initial value problem. 3y""+66y' 1044y = 0; y(0) = 11, y'(0) = 57,…

A: The solution is given below