If f(x) = 2x(sin x + cos x), find f'(x) = f(2)=

Q: Evaluate (x - 2y +z) ds. S: z = 3-x, 0≤x≤ 3, 0sys2

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Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a = 3, ƒ(a) = 3, ƒ'(a) = 11, f'(a³) = 9 Then…

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Q: Q.3. Use the Laws of Logarithms to expand the exp

A: given expression is :-logax2yz4then   by using  laws of logrithms  to expand the expression

Q: Find the divergence of the vector field F div F = = < 5z cos(x), 6z sin(x), 2z

A: F=5zcos(x),6zsin(x),2z

Q: Farmer Jones and his wife, Dr. Jones, decide to buil a fence in their field to keep the sheep safe.…

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Q: Find the area between the curves: y = x³ - 11x² + 28x and y = -x³ + 11x² - 28x

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Q: Find dy/dx by implicit differentiation. √xy = x¹y+56 dy/dx =

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Q: Find √² xdy + ydx, where C is the arc of the curve y = e for 0 ≤ x ≤ 1

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Q: 3.. One arch of a cycloid is given by the parametric equations x(†) = 2t − 2 sint, y(t) = 2-2cost;…

A: The length of a parametrized curve rt=xti→+ytj→between the points xt0,yt0 and xt1,yt1 is given by…

Q: The x-intercept(s) of a rational function are determined by finding the zeros of the denominator.…

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Q: Find the average value of the function f over the interval [-3, 5]. f(x) = 9 - x² X

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Q: A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- 4x+600. What…

A: The average cost is given by C=0.03x2-4x+600

Q: Solve this without using u substitution

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Q: In the grid, below draw the graph of a function on [0, 10] that achieves its absolute maximum in…

A: to graph a function on [0,10]

Q: For the given function and values, find Af and df. (Round your answers to three decimal places.)…

A: Given function f( x , y ) = x2 + xy + y3x = 2 , ∆x = dx = 0.7y = 1 , ∆y = dy = -0.1

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

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Q: Please solve and show all work. Consider the function f(x) = 2x³-12x² - 72x + 7 on the interval [-4,…

A: F(x) = 2x33-12x2-72x+7 X€[-4,7]

Q: Please solve and show all work. If 1600 square centimeters of material is available to make a box…

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Q: dr do Solve the linear differential equation:- +rsec 0 = cos 0.

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Q: The graph of y = f(x) has f(5) = -1, f'(5) = -3, and f"(5) = 2. Which of the following might be a…

A: f(5) &lt; 0 , therefore only 3 graph can be correct

Q: Q8 Find the integral: 1: Sav x√x+1dx. Show all your work. +

A: To solve the given integral

Q: Graph the region R on the right of the line L1: y = 5x +13 that is bounded by L1 and the function x…

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

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Q: Determine whether the given differential equation is exact. If it is exact solve it directly. If it…

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Q: 4) Given the following triangle, the Sine of angle A is; a. Sin(A) = 0.25 b) Sin(A) = 0.45 10 JA°…

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Q: Find the area inside the oval limaçon r = 7+3 cos 0. The area inside the oval limaçon is (Type an…

A: We have to find the area inside the polar curve.

Q: What is the final value of the following postfix expression: (Hint: You can draw a tree if it helps…

A: The given postfix expression is 3 2 * 2 ^ 5 3 - 8 4 / * - To evaluate the postfix expression:…

Q: If C is a circle with radius 5 traversed (traveled) exactly once, Jo then ds = 10T.

A: C is a circle with radius 5 transversed exactly once

Q: 8.3.15 Find and plot a particular solution of the following ODES and give all details for the…

A: We need to solve D.E. General solution of such D.E are sum of complimentary and particular solution.…

Q: Q4.1 | VR ² - 4t4 t Ot5/35 t + C 03/12/3 - 14 + C +2/3 - 4 +C 3/2 2 Q4.2 10t5/3 - 8t5 5t² O None of…

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Q: Evaluate the following indefinite integral. 1 5s(1 + (ln(2s))²) J ds=| help (formulas)

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Q: 4. Evaluate - 2 sin(32) dr.

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (3,…

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Q: At 2:00pm a car's speedometer reads 30mph, and at 2:10pm it reads 35mph. Use the Mean Value Theorem…

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Q: The temperature of an object in degrees Fahrenheit after t minutes is represented by the equation…

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Q: x² and y ex from x = Find the area of the region between y = (Enter a numerical value. Round to 2…

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Q: Consider F and C below. F(x, y) = (9 + 6xy2)i  + 6x2yj, C is the arc of the hyperbola y = 1/ x from…

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Q: 14. DETAILS LARTRIG11 3.2.053. A triangular parcel of ground has sides of length 720 feet, 660 feet,…

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Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: Evaluate the following indefinite integral. tan(arccos(3t)) /1 − (3t)² dt = help (formulas)

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Q: g... find the absolute maximum Values of the function over the indicated interval and indicate the…

A: f(x)=4-5x-3x2 ;[-3,1]

Q: W = xeylz, x = t3³, y = 2-t, z = 3 + 8t

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Q: 1. Evaluate each integral by first making an appropriate substitution. 9x² 16x3 (a) fx(x² - 1)¹ dx…

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Q: Evaluate 。 2 48 • dA,R: 0s x ≤ 1, 9 ≤ y ≤ 16

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Q: find the average Value of the function. 2 f(x) = x²-11 on [0,3]

A: We need to calculate the average value of the functionf(x)=x2-11 on [0, 3]

Q: Find the general solution of the given system. -1 1 0 1 5 06-1 X(t) = X' = 1 X

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Q: Find the tangent plane to the equation z = 2x² - 3y² + y at the point (5,0,50) Z= Basic Funcs Trig

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Q: If the equation of the tangent plane to x²+y²-1372²=0 at (1,1,√2/137) is x+ay+Bz+y=0, then a+ß+y=

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Q: The total productivity, P of a worker with a robot helpers is a function of the number of robot…

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Q: use the elimination method to find a general solution for the given linear system, where…

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