Suppose 0

Q: S If y = arcsin(e?z), dy dr w

A: Solution is here

Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

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Q: 1. Find of the trigonometric function: dx y=−10x + 3 cosx

A: Derivative of Cosx is -Sinx

Q: For each system in Exercises 1 and 2, (a) find the general solution; (b) determine if the origin is…

A: Answer is in next step

Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

A: To find the work done.

Q: Using Rationalizing Substitution [√x + 1 dx = y² + 4y + 4in(y-1) + C. express the final answer in…

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Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

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Q: QUESTION 3 Find the particular solution for the given separable differential equation. dy 2x+y,…

A: We have to solve differential equation

Q: In 12 The value of the definite integral 1² √ex - 9 dx is in the form F(b) - F(a), where a and b are…

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Q: t 2 If the velocity of a moving object is y(t) = --- 2 12 in meters per second, then what is its…

A: The veloctiy of a moving objcet is v(t)=t2-2t2 in meters per second.

Q: 3 z²+1 2. Find the area of the region in the first quadrant between the graph of y the z-axis. If…

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Q: An oil refinery is located on the north bank of a straight river that is 1 km wide. A pipeline is to…

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Q: ODE  Solve the homogeneous equation  dy/dx = x+3y/x-y

A: Use the homogeneous differential equation and simplify it

Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1 y=0, and x=2 24π C.U.…

A: Answer is 9π c. u.

Q: X f(x) Using "Newton's progressive method from table below, the approximate value of the function…

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Q: 9. A horizontal cylindrical tank 4 ft in diameter and 10 ft long is full of water. Find the work…

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Q: T T Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ bounded by…

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Q: If ƒ (x) = (2x+1) ³ (x-3) 4 4 then f(0) =

A: Given:    f(x) = 2x+13x-34

Q: f(x) = x³, y = 1, x = 1

A:

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: Is the function given by g(x)= x+6 continuous over the interval (-4,4)? Why or why not? Select the…

A: Given :g(x)=1x+6   (-4, 4)

Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: In each item, set up an iterated double integral that gives the volume of the solid described. (a) a…

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Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly…

A: topic- functions and derivatives

Q: Find a) any critical values and b) any relative extrema. 3 t(x)=x + 15x-1 a) Select the correct…

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Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: If there are 150 bacteria after 2 hours and 900 bacteria after 6 hours, how many bacteria were…

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Q: Q3 2. S a. Tuate Toul sinx cosx √1+cos2x dx

A:

Q: f(x) = x³, Y Find the volume of the solid obtained by rotating the region A about the x-axis. A B

A: The region A is bounded by y=1 and y=x3 from x=0 to x=1

Q: Which of the following equations is a separable variable differential equation? A. (x+x²y) dy=(2x +…

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Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…

Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A:

Q: Using Rationalizing Substitution O a=2, b=3 O a=64, b = 729 O a=4, b=9 O a=8, b=27 729 dx 64 (-3√/x…

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Q: 6. Find the integrating factor, I of the linear differential equation dy dx A. -x²y B. C. D. e-x²…

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Q: position of a moving object is s (t) = 1³ – 31² - 45t-1. What is its acceleration at t=2?

A: Given query is to find the acceleration at indicated point.

Q: 3) What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=0? Please answer this…

A: topic- slope of tangent line

Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

A:

Q: 1. x3y2 + xy3 = 2x2

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Q: Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of…

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x--3 x-1 (...) a. Find lim f(x)…

A: Limit of a function at a point will exist only if right hand limit is equal to left hand limit of…

Q: Find the area of the region between the line y = 2 - x and the x-axis, for 0≤x≤ 4.

A: Given query is to find the area under the curve.

Q: 4) x² (1-8)² + 100 25 =1

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Q: IF y = u+ + 3u2 & u = 2x 64x3 + 30x 8x(8x2 – 3) الخيار رقم 1 خيار 3 Find dy dx 8x(8x2 + 3) 8x(8x3 +…

A: We can find the derivative as below.

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Given: region R below bounded by the graphs of y = √x - 3, y = 9 - x, and y = 0. /x- (7,2) R (3,0)…

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Q: Example 9, x, and 16 are in geometric sequence. Determine x.

A: 9,x, and 16 are in geometric sequence.determine x.

Q: Find the derivative of the following functions: tan (2x²-1) 1. f(x) = sin(2x²-1) 2. f(x) = sin² 4x…

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Q: 2. Evaluate the following by changing the order of integration: L' L 40² a dx dy. 2y

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Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 25 bushels of fruit. She…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Solution is here