For an integral of the form f sin™(x)cos"(x)dx, saving one sine factor and converting the rest to cosines is used when the power of the sine is?

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: S sin 2x sin 4x dx 7.

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Recall: v = can be written as v = ai + bj + ck , where i = , j = and j: . Let v = – 2i + 5j – 4k…

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Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

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Q: J6x²e?x^3+1 dx = 3e?x^3+1 + C Select one: O True O False

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Q: dx x'+3 Xん X

A: We have to solve the integral.

Q: A solid spherical steel ball, 20 cm in diameter, is placed into a tall vertical cylinder containing…

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

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Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose by cutting equal squares out of…

Q: 24 = 0 oft?

A: To solve the given differential equation.

Q: Jdx/(1-2x) = 1/2 In1-2x + C %3D Select one: O True O False S(8x + 2x) dx = 2x4 +x² %3D Select one:…

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Q: 2x² + 1 Find the lim, f(x) where f(x) : if xs -5 x – 3x-2 if x > -5 x-5* -122/25 O -72/25 O -80 None…

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Q: Consider the following function. f(x) = x2 – 6x %3D (a) Find the critical numbers of f. (Enter your…

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Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Which of the following is not equivalent to tan"? 2 1- cos 0 csc 0 + cot 0 sin 8 O Option 1 O Option…

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Q: Evaluate xe*dx. -3

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Q: Find Ay and f'(x)Ax for y = f(x) = 6x°, x = 4, and Ax = 0.06. Ay = (Round to four decimal places as…

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Q: Which of the following trigonometric expressions is NOT equivalent to 1? * csc? 0 – cot² 0 cos? 0 +…

A: To determine which of the given trigonometric expressions are not equal to one.

Q: onsider the following planes. -4x + y + z = 4 12x – 3y + 4z = 16 a) Find the angle between the two…

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Q: Find dy and simplify whenever possible. dx sec x+tan x 1. у 3 sec x-tan x 2. у 3 е * соs e * — sin e…

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Q: Find, correct to three decimal places, the point on the curve y = 9 In x + e at which the tangent…

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Q: uantity of cookies sold when the price per cookie, in cents, is x. Use this information to answer…

A: Since we are given with the multiple number subpart answered according to the guidelines

Q: 3 37 Calculate L4 for f(x) = 24 cos () over [, *). %3D L4

A: The given function is: f(x)=24cosx3 The given interval is: 3π4,3π2 So, ∆x=3π2-3π44=3π44=3π16

Q: If one side of a square is 5 meters in length, what is the length (in meters) of one diagonal? * 5/2…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: Let the region R be the area enclosed the function f(x) = x², the horizontal line 6, and the y-axis.…

A: Explained below

Q: 3. Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

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Q: A hollow cylindrical metallic pipe is open at both ends and its external diameter is 12 cm. If the…

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Q: What is the approximate value of x in the figure below?* 723 58 427 3244 ft. 3169 ft. 820 ft. O 3322…

A: Find your answer below

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: s e8*(x³ + x²)sec² (x*e3* + 1) dx

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Q: xdx Evaluate (x²-2)5

A: We have to use rules of integration to solve the question

Q: 1. write the slope-intercept forms of the equations of the lines through the given point (a) paralel…

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Q: Pharmaceutical theft has been rising rapidly in recent years. Experts believe that pharmaceuticals…

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Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

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Q: If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x…

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Q: a) Find the degree 3 Taylor polynomial T3(x) for the function f (x) 4 ln(x) centered at the point a…

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Q: Find the value of x for which the value of the function f(x) = x + 3x2 - 2 is minimum? Answer.

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Q: Solve the differential equation. (x² + 15)y' = xy

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Q: 1. (3x²+ 2y²)dx + 2xydy=0 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

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Q: Integrating Factor by Formulas: (4) (4xy + 3y² – x)dx + x(x + 2y)dy = 0 (5) y(x + y + 1)dx + x(x +…

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Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy Solve the differential equation. Choose your…

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Q: The following set of data represents the number of families (n) moving into a new town as a function…

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Q: A country's census lists the population of the country as 238 million in 1990, 281 million in 2000,…

A: Solved below

Q: nsider the following. u = (-9, -3, -7), v = (-4, –5, –1) (a) Find the projection of u onto v. 58 42…

A: Given : u=<-9,-3,-7> and v=<-4,-5,-1>.