To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² x U... sin x sin² X COS X

Q: The radius of a right circular cylinder is measured to be 15cm and its height is measured to be…

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Q: question#22

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Q: e Determine the equation of the tangent line to y=x2(√x+x la a C C C C C C C

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Q: For what value of the constant c is the function ƒ continuous on (-∞, ∞)? cx² + 2x if x 2.

A: We know :- Limit definition at x=a  ⇒limx→a-f(x) =limx→a+f(x)  if function continous at x=a then…

Q: Solve the differential equation by variation of parameters. 1 4 + e* y" + 3y + 2y = Step 1 We are…

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) =

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Q: Perform the matrix operation( multiplication of 3x3) 1 3 2 1 4 -3 02 3 LO 0 -4 [0 3 0 0 2 -1] 2

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Q: Find the volume of the solid generated by revolving the region bounded by the curve y = In x, the…

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Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

Q: 3 12 Find the exact value of sin (a + B), if sin a= and sin ß= 5 13' sin (a+B) = ? OA. -16 65 OE. 33…

A: Given that sin α=35 and sin β=1213, with α and β in quadrant I

Q: 15 17' If sin 0=- where sin 20= ? OA. 30 289 cos 20= ? OA. 161 289 K <0<x, find the exact values of…

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Q: 'y-1 ++ Beson Muss 1- +

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Q: lim x→5 3x |x-5|

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Q: Solve the given initial-value problem. y(x) = y" + 49y = 0, y(0) = 3, y'(0) = -7

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = u = 5i + 2j + k v=i+j+ 7k w = i…

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Q: Explain why the integral is improper. 100 1 10 X 1.4 converges diverges 1.2 1 y 0.8- 0.6 dx 0.4 0.2…

A: To find the value of an improper integral, convert the integral in terms of limits. If the resulting…

Q: For the function f(x) = 2x² +1, it is given that 6.². ſª f(x) dx = At what value c does the function…

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Q: Use spherical coordinates to evaluate the triple integral [[[ 2² + 3² + 2²dV, where E is the ball:…

A: We will first change it into spherical coordinate and then solve it.

Q: A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of…

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Q: Find the degree of the polynomial y = 3x² + 4x5 - 5+x8

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Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: According to Fermat's Theorem: If f has a local maximum or minimum at c, and if f'(c) exists, then…

A: To give two examples (one of each) of specific functions f and values of c that demonstrate the…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y² + z² (8,…

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Q: 8.6 EXERCISES In Problems 1-10, classify each singular point (real or complex) of the given equation…

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Q: Use Simpson's rule with four subdivisions, to estimate the following integral f/² cos x dx

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Q: Find the limit: lim (1- cos x) sin x+0+

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Q: Complete the missing ones: (those highlighted ones) Integrate: 2x [cscs (²) dx SC 3 [csc (3) dx =…

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Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

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

A: Given plane is passing through the points (4,2,1) and (4,1,-6). Let A,B C are direction ratio of…

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find the area of the surface generated when y² = 12x is revolved about the x- axis from x = 0 to x =…

A: Given curve,y2 = 12xRevolved about x-axis from x=0 to x=3.

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Evaluate the following integral: dx So √1-x²

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Q: Tutorial Exercise You are given the dollar value of a product in 2016 and the rate at which the…

A: topic- linear equations

Q: Find the gradient of the function In(x² − y) – 1, X Vz(2, 3) = Z at the given point. (2, 3)

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Q: Given f(x) below, find f'(x). f(x) = z" t' dt √z

A: See this solution in below

Q: Without using a calculator, evaluate the following expression or state that the quantity is…

A: To evaluate the following expression.

Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

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Q: Without using a calculator, evaluate, if possible, the following expression. 4π 3 sin sin ...

A: We will find the value.

Q: It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A: The solution is given below

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

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Q: The graph below is the function f(x) -5-4-3-2-1 Find lim 24-1- Find lim 2 1 02 03- -4- 4 z→-1+ Find…

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Q: Solve the given differential equation by undetermined coefficients. y" + 6y' + 5y = 10 y(x) =

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Q: 4x + 12 lim 2 x 3 x²9

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Q: Evaluate cos A. -1 COS Select the correct choice below and, if necessary, fill in the answer box to…

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Q: thats a natural log of 9 to 0 and integral from 9 to e^x

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Q: Use the Trapezoidal Rule to approximate the area under the curve ƒ(x) = 3x² x on the interval [2,…

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Q: (2) / 1 - 12/9 - x2 dx

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