Question 7 By algebraic substitution, the integral dx dx is converted to: 4+/x dy A) y+4 ydy B Jý+4 В У+4 2ydy y+4 D [2dy У+4

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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.

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Q: Determine whether the series converges, and if so find its sum. 2k+3 5k+1 k=1

A: answer is in step 2

Q: Vy²– 25 The result of the integral in 0 given dy is 5 tane – 50 +C, y

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

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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: Determine whether the lines

A: To find out that the lines are parallel, intersecting or skew.

Q: Classify each as an identity equation or conditional equation 1. tan 2x = 2 tan x 2. sec x =…

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A: Given query is to find the inverse matrix.

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

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Q: Determine if the following series is convergent or divergent: V2n3 + 3n 4n +3 O Convergent O…

A: To find out that the series is convergent or Divergent.

Q: Question 9 – 4 Evaluate: Vx* dx ④ -VR-4-25ec-1(즐)+c + C ① -R-4+2sec-1(즐).c B + C = 2/x2 – 4 + sec +…

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Q: To begin evaluating sin*xcos xdx conveniently, express: 1 A cos x as (cos?x) ²cosx and use the Half…

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Q: 2. Create your own example of convergent series containing 5 terms. Explain what makes it…

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Q: find (a) f• g, (b) g•f, and (c) f • f. (i) f(x) = x*, g(x) = x - 1 %3D

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Q: dx The only solution to evaluate is using algebraic substitution technique. 3+V

A: Follow the procedure given below.

Q: Jv²esc?(y³)cor²(y³)dy, we let u = cse(y³) A True B) False

A: To solve the following integral by substitution

Q: Question 11 sin?u In tanmudu, where m is any positive integer, we use the transformation for tan?u=…

A: Here we have to check whether the transform is true or not.

Q: (sint – cos t)? =1- sin (2t)

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Q: ;Find the average value TX of the function f (x) = 4sin Cos on 2 2 the interval [1,4].

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

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

A: answer is in step 2

Q: Sketch the graphs of two functions that have the given derivative: f'(x)=2

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Q: „Insec2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A None B…

A: See the answer below

Q: dx The only solution to evaluate is using algebraic substitution technique . 3+Vx

A: Follow the procedure given below.

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

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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: Question 14 If we let 4=V5+x, the integral -1 is equivalent to V5+x

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Q: For each part, type your answer in If sin(x) then csc(x) = %3D If cos(z) = then sec(x) = 3. %3D If…

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

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Q: ,In sin –1x ) dx / sin(e n sin -x -cos(sin-!x) +C V 1– x² | A True B False

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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.

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A: f(t) = -34t + 285 this is velocity function for the distance we have to integrate the function s(t)…

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: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

A: The expression for the centroid is: x¯=1A∬xdydx &amp; y¯=1A∬ydydx   Where; Area=A=∬dydx   From the…

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

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

A: ∫x2x2+1dx

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

A: Please see the answer below.

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Q: If h(x) = | cosxdx and h =4, then h (0) is equal to A B 4 C) -4 (D) -3 E) None

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

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Q: if 0 < x < 5, if 5 <x < 10. За-15 f(x) 15 - За Evaluate the definite integral by interpreting it in…

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Q: Let f(x) = -72* + 59a² + 201¤ + 143 be the function graphed here. Click on the graph and expand…

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