Find 7 sin (7x) dx

Q: Solve the initial value problem y(t) = dy dt - y = 3e² + 18e¹t, y(0) = 9

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Q: Evaluate: 0 tan-¹ (0) de Ô arctan(9)–0 2 arctang+ -arctan0+C 0—arctan(0) +C

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Q: Question 25 A function has a relative maximum if O The first derivative test shows that the slope of…

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Q: Use Newton's method to find the absolute maximum value of the function f(x) = 5x cos(x),    0 ≤ x ≤…

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Q: A bush fire is burning a circular area whose radius is increasing at a rate of 3 ft/min. How fast is…

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Q: Let the function f(x) have the property that f'(x) = ¹.1f g(x) = f(x²) find g'(x). g'(x) = Solution:

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Q: Work problem 2 ( } Let w(u, v) = 5u – 5v + u² − 5v³, u = cos(2t) and v = sin(3s). - Use chain rule…

A: we will use chain rule yo find derivative.

Q: f(x) = x²-3x + 7 concave upward concave downward X X

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Q: Set up the definite integral required to find the area of the region between the graph of y = = x² y…

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Q: Solve the problem. A loaf of bread is removed from an oven at 350°F and cooled in a room whose…

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Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: Find a unit normal vector to the surface at the given point. [Hint: normalize the gradient vector…

A: The surface x2+y2+z2=38 at the point 5,2,3

Q: The limit: lim (x,y)-(0,0) exists, and equal to 0 Select one: O True O False x - y x² + y²

A: Here, we will try to evaluate the limit value of lim(x,y)→(0,0)x-yx2+y2

Q: No 1 2 3 Problem Use the method of disks/rings to determine the volume of the solid obtained by…

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Q: Evaluate the integrals using partial fraction 3y²-y+! S y³ - y² dy

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Q: x(t) = L−1 (5s² — 22s +24) s(s² - 4s+8)

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Q: The graph shows the ellipsoid x² + 4y² + z² = 16. Use the graph to determine the equation of the…

A: The given data is: x2+4y2+z2=16 Let  fx,y,z=x2+4y2+z2-16 Now, fx=2xfy=8yfz=2z

Q: Set up the definite integral required to find the area of the region between the graph of y = 13-²…

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Q: Find the derivative of y with respect to the independent variable. COS y = 10 cos ( OA. -10 COS TO…

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Q: Evaluate the indefinite integral. fest √5e³t sin (est)dt = [

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Q: lim I→0 √2+11-√11 I

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Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

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Q: The differential equation dy 6x + 2 da 12y² + 14y + 5 Find such a solution and then give the related…

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Q: Solution is incorrect. Please correct it.

A: dydx=6y18+9x2y18⇒dydx=6y18(1+9x2)⇒y18dy=6(1+9x2)dx

Q: A heart-shaped graph in a 2D plane is defined by the equation (x² + y² - 1)³= 4x²y³ Determine dy/dx…

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Q: The figure has a tangent line drawn at a labeled point. 9500 9400 9300 9200 9100 p(t) thousand…

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Q: Estimate the area under the graph of f(x)=1/x+1 over the interval [3,7] using ten approximating…

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Q: Consider the following function. f(x) = (x - 3)ex (a) Find the critical numbers of f. (Enter your…

A: We have to find the critical points, monotone intervals and relative extremum.

Q: Find the first partial (a) derivatives of the function f(x, y) = x²y√√y + 4y². (b) fxyx of the…

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Q: Find the limit of the following sequence or determine that the sequence diverges. (-1)^) 4n+3

A: The given sequence,       -1n4n+3

Q: A movie theater has a seating capacity of 163. The theater charges $5.00 for children, $7.00 for…

A: A detailed solution is given below

Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder…

A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…

Q: Which of the following are the tangent lines perpendicular to y = x, to the curve x + y² = 8? Oy=x+8…

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Q: Which of the rectangles below are right rectangles? 25-4 20 15 10 63 BODEX 0 5 10 15 20 25 Select…

A: This question can be solved using the concept of estimating the area under curve using left and…

Q: Find the length and width of a rectangle that has an area of A square centimeters and a minimum…

A: We can find the correct answer by checking the individual options as below.

Q: Sy²sin (2y) dy

A: Integration by parts.

Q: se the Second Derivative Test to find the location of all local extrema in the interval (-9, 1) for…

A: Given: f(x)=x+12x+9

Q: What is the slope of the curve corresponding to the ff. function at the point (-3, 9/2) 1= 2²-₂ y O…

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Q: At what points is the following function continuous? 5 cos 0 0+1 y = OA. The function is continuous…

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Q: x(t) = £−1 x(t) = L−¹ S s² +5 3s² +9 4s ((s + 3) (s+5))

A: Last 2 question solved

Q: Population of a certain country is growing exponentially at a rate of 1.5% per year. How long will…

A: Given problem:- Population of a certain country is growing exponentially at a rate of 1.5% per year.…

Q: The domain of the function f defined by is equal to: Select one: O True O False 7 cos(x)+y² In…

A: This question is based on logarithmic function.

Q: Integrate da - z Select one: O A. In | ¹²² | + √1 - ² + C --- I OB. 2in1 - 2in1-¹² + √1-x² + C OC.…

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Q: Solve this ODE using the Power Series Method (2+x)y'-y=0

A: We have to solve this ODE using power series method.

Q: The slope of the line normal to the graph y = 2 ln(sec x) at x = is: O-1/2 O non-existent O-2 2

A: The graph y=2lnsecx at x=π4

Q: The integral J j e - a dxdly is equal to O 2e-a+2 2 2e-a-4 O2e-a+4 2 02 4

A: We know, ∫exdx=ex

Q: I. Anti differentiate the following. B. (ANTIDERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS)…

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Q: Integrate ze da Select one: O A. ex (2x-1) + C OB. e (x-2) + C O C. e* (x-1) + C O D. ex (x-3) + C

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Q: Find the determinate by expanding about the 1st row. 1 3-1 223 1-1 0

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