Evaluate the following integrals: |cos 2xdx |2 x – 5kdx - 1. 2.

Q: Given the triangle 17 find the length of side x using the Law of Sines. Round your final answer /37°…

A: The triangle has length 17, x and angles 37°, 14°

Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

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Q: 5t4 dt 4. Vt5 +2

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Q: We have found the values of t for which v(t) s 0 and v(t) 2 0, so we can write the definite integral…

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Q: vector v is multiplied by the scalar -, the resulting vectór 4' smaller than v and in the same…

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Q: G.2 SE25 Apply fimpsen's rule to find the valke of Sdx dividing into A equal parts. 4 -89521

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Q: A fire truck is to be added to a certain district.  Which district should get the fire truck?…

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Q: Find the sum of the series. n=1

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Q: Q1// Solve the following differential equation: dy x² + 3y dx

A: Topic:- solution of linear differential equations

Q: Prove that 17 is the only prime number of the form n- 64.|

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Q: Which formula would be used to calculate the left rectangle approximation of o 4x dx using five…

A: topic - integration using left end points

Q: J sech(5x+1)tanh(5x+1)dx

A: Topic:- application of integration

Q: A petri dish has 10,000 bacteria in it. After 2  hours the bacteria's population increased to…

A: This question is based on exponential Function.

Q: The state of decay of radium is proportional to the amount present at any time. Suppose that 400 mg…

A: Here we will find radium left after 2.5 hours and 10hours,

Q: Evaluate using a table of integration formulas. 5 dx 24) XV36 - x2 X-6 +C X +6 A) In +C B) In 12 6 -…

A: Solve the following

Q: Question 2. (a) ( Evaluate the triple integral z dV, where E E = {(x,y,z):0<x<2, 0<y<2, 0Sz<3). (b)…

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Q: 3. Graph the polar equation and find the area of the region. Outside r = 1 but inside r = 2 sin 20

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Q: 23) 4у" - 8y'+5у%3D0, y(0) = 0, y'(0) = 1.

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Q: Suppose that the displacement of a particle at timet in seconds is given by s(t) = + 5t2. Which of…

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Q: Let D be the solid unit cube: 0 < x < 1, 0 < y <1, 0 < : < 1. Let S be the closed surface boundary…

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Q: Julissa wants to find the measure of ZA in A ABC. Step 1: 11 = 7? + 9 - 2·9.7.co COS X Step 2: 121 =…

A: A detailed solution is given below

Q: f (x) = ex ln(5x) - ex^3 +2 + log(e2x^2), find f '(3)

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Q: 8 +3 dx Vx2 + 36 t,

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Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

A: We find the slope of tangent to the given conic with the help of calculus .

Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: Topic = Probability

Q: Find the composite functions (f o g) and (g o f). What is the domain of each composite function?…

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Q: The following triple integral gives the volume of the solid that lies above the xy-plane, under the…

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Q: b)I bounded by y 2 0, z 2 0, x > 4z, and 16 > x + y. Evaluate the following triple integral: Let E…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. (away from…

A: My answer is not matching with given options but the solution is absolutely correct according to the…

Q: Find the integral of e*cos (x)dx

A: The given integral is:∫excosxdx.We will use integration by parts formula to evaluate the above…

Q: ) What number is next in the equence? 2, 4, 16...

A: What number is next in the sequence? 2, 4, 16 ...

Q: 1 Given f(x) %3D (x + 1)(1 +2x)x3 Find f'(x).

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Q: C, the consumer price index, in a specific very small area, is dependent on the current value of…

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Q: 6- Use Newton-Raphson method to solve the system x3 + y - 1 = 0 y3 – x +1 = 0 with the starting…

A: answer is in next step

Q: angles d. greater than either remote interior angles 2. The two sides of a triangle has lengths of 7…

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Q: ĐUse the fuler method's Solve the: 5.525ー0 ら10)=1 hこer

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Q: Ed has a rectangular garden along a bank of a river. He plans to enclose it with a fence with a…

A: Note: The area of a rectangle A = length × breadth = xy

Q: Graph the polar equation and find the area of the region. Interior of r2 16 sin 20

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Q: Solve the system. Use any method you wish. 9x2 - xy + y2 = 11 2x + y = 4 List all the solutions.…

A: In this question , we can find the solutions of the given system .

Q: S 2æe3= dx ,3z 9.

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Q: 3 Given the curve y= x and the line V= 4x in quadrant 1 Find the area of the region bounded by the…

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Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

Q: Find the volume of the solid that results when the region enclosed by the curves y = x², x = y² is…

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Q: Determine the x-values at which the graphs of f and g cross. If no such x-values exist, then state…

A: This question is related to Functions, we will solve it using given information.

Q: Evoluate the limit of (1-cosx) (x²) as x pproaches 0.

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function

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Q: Find the area under the graph of the function over the interval given. 13) y =ex; [-9,4] A) e 13 B)…

A: We can find the area as below.

Q: Find the Taylor series generated by f at x = a. f(x) = x3 + 8x2 + 7x + 6, a = -2 O (x + 2)3 - 2(x +…

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Q: Solve a3 -4x2 +4x 3x4 –12x3 +12x2 limp→2'

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