2 [*x* (Inx)² dx

Q: √tanx secox dx

A: Given problem:- ∫√(tanx) sec6x dx

Q: - x, then answer the following (1) Find the function's domain (2) Find the function's range. (3)…

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Q: (6) _ z² = pqxy

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Q: ∞ ∞ dx 2 x² +9

A: Given :∫-∞∞dxx2+9

Q: 1/2 cos ¹ x dx

A: The integration of the integral is cos-1x, limit from 0 to 1/2.

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

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Q: Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed…

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Q: an+1 Suppose that an ∞ Σ απ( – 81)" man n=1 →1 as n→ ∞o. Find the radius of convergence.

A: Explanation of the answer is as follows

Q: Find Domain and Range бяц tue Ⓒsin (x+3) +2y x²+2y 3x + y² 3) 3x + Sin (3x) +2y+Z² Ⓒ x+2y cos2x…

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Q: و و ۹۷۶) (0) لا او A 2 1 - X Jx (x+2 - 4

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: Problem: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800…

A: Let's find work.

Q: Using exact Solution, find the general solution of the following differential equation: (cos2y -…

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Q: Find an equation of the tangent line to the curve at the given point. f(x) = 3x² – x³, (1, 2) -…

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer 2 z=c-xªy¹/a (6) z² = =…

A: Use charpit method

Q: What are the domain, range, and period of the function f(0) ) = -20cos( - 10) + 1₂

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve 2…

A: The answer is given below:

Q: Given a second order differential equation dx X = e³t dt where t = 0, x = 2. 3t Using Laplace…

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Q: / If y" + 2y' F5y = e-Sint, y(0) = 0, y' (0) = 1

A: We solve the given differential equation using the higher order LDE techniques.

Q: 12. A thin 4 cm wire represented by 1 < x < 5 has density function p(x)=19/cm. Find the mass of the…

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Q: 5. csc 6x dx

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Q: from the date set, find the value of f(7) by use lagrang method 3 6 9 11 12 13 14 16 XX y

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Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: Here we have to solve this problem by using newtons law of cooling.

Q: Solve for x the following inequality and show their solution set {x: x2-x-30≤0}

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Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point.…

A: Use derivative of square root of function.

Q: Find the Fourier transform of (x) 3x iPxK1 O if|x1>1

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Q: Use Cartesian coordinates to evaluate JJJ² dV D where D is the tetrahedron in the first octant…

A: Given integration is evaluated.

Q: Which integral represents the area of R? Choose 1 answer: 5π 49 A sin² (40) de - 4 5TT 49 B sin²…

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Q: 6 By Separation of variables, Solve the following 5 PDES :- ²4. ²4 0 o 2 dt² dx² u(e,t) = u(5,t) =6…

A: Given

Q: Consider the parametric curve: X y = ln(-t) Which integral gives the arc length of the curve over…

A: We have to find the length of curve.

Q: Let R be the region that is inside the polar curve r = 3 and outside the polar curve r = 2 + sin(0),…

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Q: show that V(x,y) = x 'f (2x+y) is the general Solution of : x av dx 2x du 1 = V ay

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

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Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: 24. What does it mean to say that dV is an exact differential?

A: Solution

Q: Use Chain rule find the derivative w= 4x^2 +3y^2 with respect to t along the path x=sint and y= cost…

A: Note: “Since you have asked multiple question, we will solve the first question for for you. To get…

Q: Find the maclaurin series of the following functions:- 1- e-x 2- 3- sin (3x) 1+x 5- cosh(x) 4-7…

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Q: 1. Find the area between the curve f(x)=√x and g(x) = x³.

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Q: Evaluate sin (x) e-x dx by use Simpson's rule. h= 0.5

A: This is a problem related to integration part of the mathematics. Based on the general formula and…

Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter' or,…

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Q: xy³ Q3: Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point…

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

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Q: d/dx [x/(x^2 + y^2) ] = * O [(y^2 + x^2)/(x^2 + y^2)^2 ] O -[(y^2 +x^2)/(x^2 + y^2)^2 ]…

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Q: classify the following PDES :- 827 827 дхг 82z =X+Зу +2 буду дуг 2 2 X ох Иxx - 2xy Иху +Ў Иуу X •…

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Q: DIFFERENTIATE THE FUNCTIONS BELOW 3 x 8x %2 2 E (۶) ز د (ع) (1 = - Dx +

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Q: 3 4. Find the length of the curve y = 7(6+x) 2 from x = 189 to x = 875. Submission status

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Q: - b) Find the area between the 2 curves f(x) = x² + 4- 4x and x- with the two lines=5&x= 2. axes and…

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Q: = Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 9 for f(x) = 1+x T2(x) must be of…

A: The given problem is solved below in detail.

Q: What if you could predict one what your monthly income (USD) would be after graduation from the…

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Q: . The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

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