x*dx , the simplified integral after substitution is: |x² – 4 Using trigonometric substitution technique, A J16sec etan@de 16secse de tane © S16sec ede D 16sin*ecos@de

Q: e4x dx ? (4e2x + 9)/2 Which of the following trigonometric substitutions is the most appropriate to…

A: integration if it is helpful please like it

Q: Find the area, if it is finite, of the region under the graph of y = 14x° over [0,00). Select the…

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Q: x²-4 dx can only be evaluated using trigonometric substitution technique . The True B False

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and æ = 100 is…

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Q: Of all rectangles of area 100, which has the smallest perimeter?

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Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: %3D 2, Question 2 x-3x-4 = (x)/ JI I+x what is lim f(x)? (A) -5 (C) 2 (D) 3 (E) Does not exist 券 A.…

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Q: Consider the alternating series (-1)"bn with n=0 1 bn = 1+ 8n4 Is the sequence {bn} increasing or…

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Q: Which values are solutions to the equation on the interval (0, 2m)? Select all correct answers. 12…

A: The given equation,     12sin2x+4sinx-1=0

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: |に1寸に! Question 8 (x-2) Which of the following is/are true about the function g if g(x) 9-x+2 1. g…

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Q: 4. Sketch the function Ax) = 2xª – 16x², indicating any extrema, points of inflection,

A: follows the procedure given below.

Q: Determine if the following series is convergent or divergent: 3n 7n – 2 - n=1 O Convergent O…

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Q: 2. Find the unit vector in the direction of

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Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: Question 13 sin2x cos3x dx = sinSxdx - sinxdx A) True B False

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Q: S. (e3* + 1) / (e3* + 1)²– 4 Evaluate: e™dx e sec -1 6. 3x +1 -+C 2 A e +1 e 3r B sec -1 +C 2 C None…

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Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

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Q: Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

A: We have to construct  the integral to find the region bounded by given curves.

Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: (x+1) dx B | dx , the values of A & C respectively are 9. -- (r+2)(x - 1)² = /+ (x– 1)², x- 1 3 (А)…

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: f(x)=13exIntegrate on both sides:∫f(x) dx=∫13ex dxF(x)=13ex+C

Q: Suppose f(x,y)= xe figure out tne minim um rate of change of + at the point (3,3). Dont not round,…

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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: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

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Q: se transformations to graph f(x) = - 5* - 1. O A. ... hoose the correct graph. 110 10 OC. 10 10

A: Given query is to find the graph of the function.

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

A: Follow next step

Q: sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A…

A: To solve the following integral

Q: Find the particular solution determined by the initial condition. ds 191? + 3t – 5; s(0) =75 dt The…

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Q: The data is known as follows: 7 4 5 P(x) | 48 | 100 294 900 | 1210 | 2028 10 | 11 13 Using Newton's…

A: We need to apply Newton's divide difference interpolation.

Q: 1) lim Ax) = -2 x- 5 2) f'(5) = DNE

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Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: find (a) (f + g)(x), (b) (f - g)(x), (c) (fg)(x), and (d) (f /g)(x). What is the domain of f /g? i.…

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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 formula for the sum of a geometric series to find the sum or state that the series diverges…

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

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Q: f (#) = 2x-3 and g () = ; then (f – g) (z) = %3D %3D Das- 9) (z) = 2 5 | b(f- 9) (x) = 2x2-3x-2 2x…

A: Given query is to find the value of indicated function.

Q: Insec2 (sin2y) dy e Which of the following is one of the correct steps to evaluate the sec2y

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Q: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

Q: Consider the following. u = 6i + 2j, v = 5i + 3j (a) Find the projection of u onto v. (b) Find the…

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Q: Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn}…

A: The given series is: ∑n=4∞(-1)nbn, bn=3n2n2-4

Q: Which of the following is one of the correct steps to evaluate cos dt to obtain the correct indef…

A: Follow the procedure given below.

Q: that

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

Q: Solve the following equation for x (find all solutions between 0° and 360° Round answer to 2…

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Q: Consider the following. u = i + 6j, v = 7i - j Find the angle between u and v to the nearest…

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Q: Insec² (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A In…

A: Explained below

Q: The x-intercept of f(x)=V2x+4 is: O a. There is no x-intercept O b. (4,0) O c. None O d. (-2,0) O e.…

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Q: 12 + 11uzy + 2uyy = 0

A: answer is in next step

Q: 2cos'z = COS T Select all correct solutions.

A: Follow the procedure given below.