(cos 2x) f (x) = e

Q: If 10 | f(z)dz = / f(z)dr + f(x)dzx – f(2)dz, what are the bounds of integration for the first…

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Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

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Q: Find the curl of the vector field F. F = (x-y+z)i+ (6x-y+7z)j+ (9x +6y + z)k curl F = i+

A: We have to find the curl F

Q: Consider a triangle where A = 30°, a = 1.5 cm, and b 1.2 cm. %3D (Note that the triangle shown is…

A: Explained below

Q: An object moves along a coordinate line with velocity U(t) = ((9 - 1) units per second. Its initial…

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Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: When harvesting apples in a grove, the number of apples harvested increases at a rate of R(t) apples…

A: Here, the rate of harvesting increases at the rate R(t) per hour with t≥0

Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1 + x*) - 1.. Use 5 iterations of…

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Q: Consider the following function. X - 4 f(x) = x2 + 20 Find f'(x). f'(x) = Find all singular points…

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Q: Problems Find the radius of convergence and interval of convergence. (a) п! n=0 (b) (5х — 4)" 00 -…

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Q: wastebasket has a wire circle for the top and bottom, and six straight wire rods that hold the top…

A: Find your answer below

Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

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Q: 12 f(x) dx = | f(x) dx = f(x) dx where a = Σ and b = Σ

A: Use additive property of integral to simplified the integral.

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

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Q: Compute f(5) (e) forthe function f(x) = x³.In(x+)

A: f(x)=x3.ln(x4)f(x)=4x3ln(x)Differentiatef'(x)=4x2+3x2ln(x)f'(x)=4x2+12x2ln(x)Differentiatef''(x)=8x+…

Q: 4. Suppose you have a function y= g(x) with domain {x-3<x57} and range {y-9sys5}. a. Explain in…

A: The given function is y=g(x) with the domain {x|-3≤x≤7} and the range y|-9≤y≤5

Q: Derivalive: f) JFonx-4 2.gm)- (Jx+ 37 Ax+1

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Q: 8. 21

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Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if x-yl se, then…

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Q: :Q1 Solve the second order differential equation Y" – 5Y' + 9Y = 0

A: Here we have to solve second order differential equation.

Q: If Lpl=)dz = 7 and p(z)dz = 9.5 what does the following integral equal? p(z)dz = Question Help: D…

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Q: 4x3 - 6 Find the differential dy of the function y = %3D 4 2x Provide your answer below: dy = dx *…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: Solve the equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

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Q: 24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

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Q: Question The radius of a sphere was measured and found to be 2.0 cm with a possible error in…

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Q: A radio transmission tower is 510 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given the query is to find the length of the wire.

Q: Find of the following equations: dx 4 a. y = -3x² + 7x² + ln 8x)"

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Q: Calculate the difference quotient for f(x) = x + x-' at a = 7. (Express numbers in exact form. Use…

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Q: (a) y = x° arctan(e")

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

Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

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Q: If f'is continuous, f(3) = 0, and f '(3) = 6, evaluate f(3 + 5x) + f(3 + 6x) lim

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Q: Which one of the following accurately describes the set {(p, 0, $)|¢ = 5 } in spherical coordinates?…

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Q: 3. Find the integral * dx a² -2 x+1 a.-x - - x - In(x + 1) + C 2 b.x2 – x – In(x + 1) + C c.x2 – x +…

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Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x?…

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Q: Consider the function f (x) = - 3x³/% Which one of the following is true? O a) f is decreasing when…

A: If f'(x) &gt; 0 for all x in an interval I, then f(x) is increasing over I. If f'(x) &lt; 0 for all…

Q: about the x-Qxisp the

A: answer is in next step

Q: 27. f"(1) = 12 + sin 1 28. f"(t) 29. f'(x) = 1 + 3x, f(4) = 25 30. f'(x) = 5x- 3x? + 4, f(-1) = 2…

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Q: 2x +1 Solve the equation 4ª -x+2 = 6**. Leave your answer in exact form. %3D

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 2x²–50…

A: fx = 2x2-50x2+8x+15domain: -∞,-3∪-3,∞x=-3, vertical asymptotex=-5, hole

Q: Answer the following questions; 1. A student writes that if the right and left limits of a function…

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Q: (а) (5х* - 4x? +5)dk (b) S(2x+1)(3x – 7)dx

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Q: Consider the definite integral V11 dæ. - 2x -3 The most appropriate substitution to simplify this…

A: Solving

Q: Find the total area of the region between the x-axis and the graph of y = -x - 3x, - 6sxs1. The…

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Q: Evaluate || xydydx by reversing the order of integration. 1 Inx

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Q: 9 Derivative of fi») 1x 4 . 5. 1 f) 1x1cosx, fird f'n)

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Q: Let h(x) = x3. Use the Intermediate Value Theorem to show that there is a number between 2 and 3…

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Q: Exercises 7 Evaluate: 2 (2x - 3)* dx 5 (2) J 1 dx 0*+3 (3) dx x + 9 x In x dx

A: Find the definite integral