Use the Newton's method to find the positive root of equation x² -2=0 to three decimal points.

Q: Use the Comparison Test to determine whether the infinite series is convergent. ∞     k = 3 sin8(k)…

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Q: 1.1. Evaluate the following integrals: a. ²x dx b. (2x+3)√2x-1 dx

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Q: How do you evaluate the following integral: Integral of (-sin2(x)) dx I'm tempted to use the basic…

A: As we know the trigonometric identity: cos2x=1-2sin2x And use the common integral:…

Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be-³x + ce-²x)² if x > 0 if a = 4,…

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Q: COMPLETE STEPS AND SOLUTION [NO SHORTCUTS], SIMPLIFY IF POSSIBLE 3. Find the differential equation…

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Q: What is the maturity value of a $52590 investment in 27 months if interest is 4.3% p.a. compounded…

A: Topic - Compound interest We are given: Present value=PV=$52590 Time =t=27 months Rate of interest…

Q: Without evaluating integral, prove that 1 dx S 0 /2+x-x² 2 < 1 √2

A: Prove that , 23≤∫01dx2+x-x2≤12

Q: Find the differential equation by eliminating the arbitrary y = Asin 5x + B cos 5x constant State…

A: we need to write down the differential equation by eliminating the arbitrary constant.

Q: In step 3, how did you know to use yp = ( 1 / (D^2 + 9) ) 4sin(2x)?

A: The given initial value problem y''+9y=4sin(2x), y0=1, y'0=1. We have to find the solution of the…

Q: 6. (a) Let f(x) g(x) = k 4- x Find lim f(x), lim f(x), and lim f(x). Find k so that f(x) is…

A: (a).The given function is:f(x)=x2+2               x&lt;1kx=14-xx&gt;1

Q: A water tank in the shape of an inverted circular cone has a base radius of 2 m and height of 3 m.…

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Q: 21-22 Find y' and y". 21. y = x² ln(2x)

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Q: Solve the problem below. For your initial post in Brightspace, copy the description of your company…

A: We have to find the profit expression.

Q: 1. Evaluate the following integrals: b. I sin(4x) cos² (3x) dx

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Q: Find an appropriate change of variables (and then use it) to evaluate 1/₁₂ (x + y)² ex²-y² dx dy R…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: The side of a cube is measured to be 21 cm, with a possible error of cm. A. Use differentials to…

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Q: Use the First Derivative Test to find the location of all local extrem below. Enter an exact answer.…

A: Given

Q: 3₂ If t=15157, evalvate if possible Part 1. Sin t 13 له b) none - 이글 e) 9 + ا (a C) - 0) ) 6)-1 یہ -…

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Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

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Q: 1. Convert the following general form to standard form of parabola. 4x²-24-40y-4-0 b. x²-2x-6y+25=0…

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Q: Let U = 3i−j−4k and V = −2i+4j−3k. Show that U·V is commutative but U×V is not.

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Q: +00 2 e. Se Sexx²dx 0

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Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

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Q: Use linear approximation, which is mathematically expressed as L(x) = f(a) + f '(a)-(x - a), In…

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Q: year-end bonus of $25,000 will generate how much money at the beginning of each month for the next…

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Q: Convert the general form to standard form of parabola

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Q: Determine the vertex, focus, directrix and axis of symmetry of the parabola with the given equation:…

A: we need to find out the vertex, focus, directrix and axis of symmetry of the parabola and also need…

Q: Consider the point (음, %) Fort 1. Find (sc (t) A).& 10 22-1 B) 은 C) - 음 이응 Ja 100 0)-10 F) - g) none…

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Q: Give one example to illustrate that vectors satisfy the triangle inequality. Justify your answer

A: Vectors of Triangle Inequality : u+ v≤u + v

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: Given P = 14.7e-0.21xwhere P = atmospheric pressure in pouds per square inch x = number of miles…

Q: Consider the function f(x) = 2 – 5x², −5 ≤ x ≤ 1 - The absolute maximum value is and this occurs at…

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Q: Question 6 Which of the following techniques is best to use to evaluate the given integral? A e 3+e…

A: Given, ∫ex3+e2xdx

Q: If I cut a Pizza into 2 equal pieces, How long is the crust(circum.) is each piece??? Smidget Radius…

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Q: z = sin(x² + y²), x = v cos(u), y = v sin(u), find az/au and az/av. The variables are restricted to…

A: we will find the required.

Q: Find the future value (in $) of an ordinary annuity of $600 paid at the end of every 6-month period…

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Q: (d) Give one example to illustrate that vectors satisfy the triangle inequality. Justify your…

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Q: Find the general lower and upper sums (in terms of n) of the area of the region ba g(y) = -8y over…

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Q: The linear approximation at where A is: and where B is: = 0 to sin (3x) is A + Bx

A: We need to find Linear approximation.

Q: Find the equation of the lines tangent to the curve x² + y² = 4 and parallel to the line x = 3 ?…

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Q: X Dx f¹2dt 4+t -X

A: We have to differentiate the given equation.

Q: Show that Rolle's Theorem can be applied to the following functions on the closed interval [a,b],…

A: According to Rolle's theorem , if a function f is continuous on the closed interval [a, b]…

Q: Determine the convergence or divergence of the series and identify the test used. Σ η = 1 1 3-2

A: The given series is  convergent .Solution is given below.

Q: 23. y = 2 x² + 1 x² - 1 3

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Q: In (ecos5x) dx

A: Given query is to find the integral.

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  so we can…

Q: Suppose the derivative of f is given by f′(x) = (x −4)2(x +3)7(x −5)8 On which interval(s) is f…

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Q: An engineer is building experimental, dome-shaped living quarters 33 m high and modeled by the…

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Q: 2. xsecxtanxdx

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Q: Graph the line with the given point and slope. Using the format of graph in picture. 1.) (-6,4);m=…

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