explain how int of cos 2x (cos^2 x + sin^2 x - 2sin x cos x) / (cos x - sin x) dx turned into int of cos 2x (cos x - sin x)^2 / (cos x - sin x) dx

Q: 22. dr

A: Please see the answer is below.

Q: 70. f(x) = x - 8x2 + 16 (A) [-1, 3] %3D | (B) [0, 2] (C) [-3, 4]

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Q: Problem Set A (1) A dietitian wishes to plan a meal around three foods. The percentages of the daily...

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Q: Select from the following which is the polynomial function that has the given zeros. 0, - 7, -3 O f(...

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Q: Use the Midpoint Rule with n = 5 to estimate the volume V obtained by rotating about the y-axis the ...

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Q: Select the graph of the function y = [2(x– 1)]²+1. Compare the graph of this function with the graph...

A: We need to compare the two graphs.

Q: 5.(y?dy) = x(xdy – ydx)ey

A: xexy(x dy-ydx)-y2 dy=0x2 exy dy -xy exy dx =y2 dyx2y2exy -xy exy dxdy =1dxdy=x2y2exy -1xyexy x=vydxd...

Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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Q: Find the derivative of the trigonometric function. y = 4 sin(3nx)

A: The given function is: y=4sin3πx   We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'g...

Q: dt

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Q: Current Attempt in Progress (a) If A is a 4 x 5 matrix, then the number of leading 1's in the reduce...

A: To answer the given questions about matrices.

Q: Activity 2.1 A. Choose the function whose derivative is equal to zero c. f(x) = 3x d. f(x) = V2r? a....

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Q: Find the general solution to the differential equation y''-4y'=8-16x

A: y"-4y'=8-16xf(D)=D2-4DAuxillary equation :m2-4m=0m(m-4)=0m=0,4m1=0 , m2=4

Q: Covider r the following diferental equation 2x+3y +22 7x +6y +50 ミ A variable chonge to turn the equ...

A: (b)   x = z-2 and y = w - 6

Q: 2+5n a, = n+2n Select the correct choice below and, if necessary, fill in the answer box to complete...

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Q: The diameter and height of a right circular cylinder are measured to be 5 to 8 inches, respectively....

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Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the...

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Q: uestion 12 Suppose that k is a real constant such that all the tangents to the curve y = In(x? + 1) ...

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Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask th...

Q: u=(-8,16) Find the magnitude (lu) of u=

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Q: Let u = (-1,3) and v = (2, -5). %3D Find the component form of the vector 5u – v.

A: This question is based on resolution into vector components.

Q: D. Differentiate the following. f(x) = 4x5 - 5x +x +8 g(x) = * --*+x' + v2 c. h(x) = V9x° + V7x7 + V...

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Q: Use a change of variables or the table to evaluate the following indefinite integral. dx e ex +5 Cli...

A: We have to find the integral

Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)“, Determine the valu...

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Q: A formula for a function y = f(x) is f(x) = 4x°. Find f(x) and identify the domain and range of f(x)...

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Q: Stan (x)sec°(x)dx Scot*(x)csc°(x)dx Ssin*(x)cos°(x)dx

A: ∫tan5xsec6xdx

Q: Please provide the name of each property that I have circled. Please provide the exact name.

A: To name the integral properties.∫-aafxdx=∫-a0fxdx+∫0afxdx∫-a0fxdx=∫0af-xdx

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) - 5x...

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Q: B. Test whether the given function is continuous or not, and classify the discontinuity whether remo...

A: Given problem:-

Q: 1-2 Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates...

A: answer of given question is in step 2

Q: Given that v = and w =. Find

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Q: Use substitution to find the indefinite integral. 6x+7 (3x +7x) to

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Q: Consdeu the fanction whese catevion is f(x) = x³ -2x² +5 If he equatien of the tangent line to f at ...

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Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: topic -implicit differentiation

Q: If a given function is an even function, then prove that f(x)dx = 2 f, f(x. Graphically support your...

A: Topic:-  application of integration

Q: What is the direction of the given vector? v= (3,-4). 360 30 or will always be t- you U is it 18O- o...

A: Topic:- vector algebra

Q: 1 (8n – 1)? n=1 a) Enter an integral whose convergence or divergence is equivalent to that of the gi...

A: Given that∑n=1∞18n-12a. Integral test for convergence or divergence fx=18x-12a=1,b→∞∑n=1∞18n-12≈∫1∞1...

Q: An object moves with a constant acceleration of a=2m/s^2 without other forces intervening, one secon...

A: x(t) = x(0) +x'(0) t + 12 a t2a=2x(t)=x(0) +x'(0) t + t2x(1)=14 m14=x(0) +x'(0) +1x(0) +x'(0)=13  .....

Q: Solve the differential equation. dy = 3x?ey dx O y = In (3x3 + C) O y = C In (x) O y = In (x3 + C) O...

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Q: 53. 3x2 dx

A: Topic:- integration

Q: Use the Laplace transform to solve the given initial-value problem. у' — 5у %3D 6(t — 4), У(0) %3D 0...

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Q: f(x)= x^2-4x g(x)= x^2+3x+8

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Q: - Įvdu, Let The integral expression xcos (2x)dx can be evaluated using integration by parts of the f...

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Q: Suppose you know • lim f(æ) = o and lim g(x) = o. • lim f'(2) = - 4 and lim g'(x) = 7 %3D * 00 2 109...

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) =x<In(x) given the init...

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Q: ft A spherical balloon is inflating with helium at a rate of 200x How fast is the balloon's radius i...

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Q: A tank holds 52 gallons of water. Initially, at t = 0, a solution containing 1/6 lb/gal of a chemica...

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Q: Let f(x) = x^2(ln x − 1) (e).Find the inflection point(s) of the graph of f, if any.

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Q: 12w3+6w2-5w+1 h : 5w+3

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Q: Write the sum (6² + 6) + (6³ + 6) + (64 + 6) + (6³ + 6) in summation notation in terms of k. (Use sy...

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