By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C) y+4 dy S D y+4

Q: Write the quotient in standard form. 11 1-i

A: Topic = Complex number

Q: e4x dx Which of the following trigonometric substitutions is the most appropriate to the intgral J-…

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Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: Problem 2: Use trigonometric substitution to show that 1 dx becomes x?Vx? +4 X x´+4 +C 4х

A: Use trigonometric substitution method for solving such integral

Q: 2x2+3x+1, if x<2 f(x)= 3x2 -2x-5, if x 22 Find the value of f(1)+f(2). O a. 8 O b. 7 O c. None O d.…

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Q: What would be the shape of the graph r = 2 cos 0, given that 0 = 0, 7 , 5, 5? O semi-circle in the…

A: We know cosθ takes positive values in first quadrant that is for 0&lt;=θ&lt;=π/2 The equation…

Q: In the year 2000, the population of a small city was 41,000. The population grows at a rate of…

A: 2037 -2000 = 37 =t at 2037 population growth is = 1300*e(0.03*37) population  growth= 1300e1.11…

Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

A: Given query is to find the integral.

Q: Line L is perpendicular to the Find the slope of line L O a. -4 O b. 5/2 О с. 2/5 С. O d. -2/5

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Q: Suppose g is a function which has continuous derivatives, and that g(8) =-2, g(8) = 3. g"(8) =-4,…

A: Taylor polynomial:g(x)=∑n=0∞ gn(a)n!(x-a)n  a=8g(x)=g(8)0!(x-8)0+g'(8)1!(x-8)1…

Q: 1. Use the trapezoid (a) (b) (c) x In x dx; with (h = 0.1)

A: f(x)=x ln(x)   x 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 f(x) 0 0.10484 0.218785 0.341073…

Q: sin'x cos x dx (1– sinx)2(1+ sinx)? Evaluate: sin 8x

A: ∫sin7xcos5x1-sinx21+sinx2dx=∫sin7xcos5xcos2x1+sinx21+sinx2dx=∫sin7xcosxdxLet u=sinx.=∫…

Q: Use the graph to identify the points on the interval (a,b] at which local and absolute extreme…

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Q: Question 4 x2 dx Using an appropriate trigonometric substitution, the integral reduces to 1+x2 A)…

A: ∫x2x2+1dx

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

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Q: A Ferris wheel has a radius of 30 m, makes a full rotation in 3 minutes, and the axle stands 35 m…

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Q: Exercises Use the trapezoidal rule of integration to determine the value of the following integrals…

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Q: On Melissa's 6th birthday, she gets a $4000 CD that earns 3% interest, compounded semiannually. If…

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Q: Sa sec ede tan' 0+9 tan e

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Q: Question 9 x² – 4 Evaluate: V A =Vx² - 4 – 2 sec-+ c =V x2 – 4 + sec¯ + C = 2/x? – 4 + sec + C D x2…

A: The integration of the integral is sqrt(x2-4)/x.

Q: Evaluate: Jcos 2xdx cos2x cos32х + C 6 A 2 sin2x sin32x + C 6 B 2

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Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

A: Topic = Trigonometry

Q: For each of the following, solve exactly for the variable z. (a) 1 -+-. 0.3 (b) - +- 0.5

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Q: In tan"u du where n is any integer, we use the transformation for tan?u sin?u cos?u

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Q: | (3y + e?v=) dx + (4x + 4 cos (y°)) dy. Use Green's Thoerem to evaluate the line integral x² and x…

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Q: the area of the region enclosed by y = 2 – x´ and y = -x, identify the "a" and "b"

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Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: Write the complex number in standard form. 3-V-30 4 + 30i 3 + 30i 3 – V30i 7- 30i O 4- 30i

A: Simplify using basic concepts of complex number.

Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

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Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: 1+ cos4x A sin4x & 2 2 B cos²2x= 1-…

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Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3,4), and…

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Q: Find the intervals on which f is increasing and decreasing. f(x) = - cos 2x on [-1,1]

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Q: Find fo° f(x) dx if S2 for x 2. f(x) =

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Q: I = 3 sin(60?t) + cos(120?t)

A: answer is in next step

Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

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Q: Find the critical numbers of the function. y- 2 g(y) = %3D y2 - 2y + 4

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Q: Find an equation of the inverse relation. x°y= -7 3 ... Choose the correct equation below. O B. y= -…

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Q: Convert a = 60o to a Car Oy = x/2 Ox = V3y Oy= V3x

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Q: Write the complex conjugate of the complex number. Then multiply the number by its complex…

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Q: Find the intercepts, critical numbers, intervals) of increasing and decreasing relative extrema,…

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Q: Write the quotient in standard form. 4+i 4-i

A: 4+i4-i

Q: Consider the graph of the function g(x): 4 y = g(x) 4 7 x The graph from x = 2 to x = 6 is a…

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Q: C) = (" † ')- (,",) 'n + n _1. Show that :

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 - cos(3e") - -cos(11e*) +C 22 sin(3e") - sin(11e*) + c 22…

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Q: Convert the polar equation r² = 2tan 0 to a Cartesian equation. x3 + y3 = 2 y x3 + xy² = 2 y x² + y²…

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Q: 3. .

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Q: V -4 dt 3t

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Q: sin2x cos3x dx= sin5xdx – sinxdx A True B) False

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Q: sec? ede 2. tan' 0+9 tan e

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Q: Evaluate: ycos2ydy 1 1 A sin2y+ycos2y+sin2y+ C 1 1 B sin2y- ycos2y+ sin2y+ C 1 O'sin2y+ycos2y-sin2y+…

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