dx is 2/x – Sin|/x +s|+c. Vx +5 The antiderivativeof | - A True B) False

Q: To begin evaluating sin*x cos°x dx , express A cos x to (cos?x)cosx and use the identity cos?x=1-…

A: We have to use option (A) cos^5x to (cos^2x) ^2

Q: a. A*(CB) = (AC)*B %3D

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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

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Q: Find the limit of the 4n +2 sequence lim Show your work. n- co V2 n+ 4 ; Determine whether the…

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Q: 12 + 11uzy + 2uyy = 0

A: answer is in next step

Q: Question 15 The x²-4 dx can only be evaluated using trigonometric substitution technique . A True В…

A: Follow next step

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A: We have to find the equation of the tangent plane.

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: ,Insec 2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y (A In…

A: topic - integration

Q: Question 12 is 2V5 – Sin|Vã + s| + C. Vits dx The antiderivativeof |- 5ln x +5 A) True B False

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Q: b. g (x) 2.

A: Given query is to find the derivative of the expression.

Q: Activity 1.1.3. Each of the following questions concern s(t) = 64 – 16(t – 1)?, the position…

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Q: 7-4 dt 1.

A: We need to evaluate integral.

Q: Show that (f) and () aoe invesse fondion ARgeboaically @ fix) fex) = " O f cx) = X- I X+5 g(x) = ニ

A: We have to show that f and g are inverse function.

Q: (x+1)dx If (x+2)(x – 1)² B dx ,the values of A & C respectively are (x-1)2 X- 1 A True B False

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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: Calculate the integral. (Use symbolic notation and fractions where needed.) 8. |2x – 4| dx =

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Q: Given that cos 0 terminates in quadrant I, then what is the 40 41 A and that angle 0 value of sin 0?

A: See the answer below

Q: e4X dx Which of the following trigonometric substitutions is the most appropriate to the intgral…

A: Integration

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: The given function,  g(t)=3t5-20t4+30t3+80

Q: Question 16 Which of the following is one of the correct/convenient steps to evaluate -+dx which…

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

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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: Which of the following is NOT an improper integral? x²dx A -2 Vx2-1 z/2 B sec x dx z13 tanxdr dx D…

A: Option C

Q: x+ y dydx = Inß ху %3D Find B.

A: The objective is to find the value of beta.

Q: ſla(Ji + s)dt 1.

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Q: sin5xdx – / sinxdx 2 sin2x cos3x dx=. A) True False B

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Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution

Q: 4V (7x – 5)5

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Q: 3号x}

A: answer is in next step

Q: Suppose z = x? sin y, x = –2s² + 2tť², y = 2st. A. Use the chain rule to find and dz as functions of…

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Q: The marginal cost for a company to produce q items is given by MC(q)=0.004q^2−0.8q+635. The​…

A: Given that the marginal cost for a company to produce q items is given by       MC(q) = 0.004q2 -…

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

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: Find the solution of the following initial value problem. 1 1 3 v'(x) = 8x° - 4x 3 ; v(8) = 51, x>0…

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Q: x2 dx Using trigonometric substitution, the integral is equivalent to V-4

A: Given∫24x2dxx2-4Substitute x = 2sinθDifferentiate x w.r.t θdx=2cosθdθNowIf x = 2…

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

A: Follow the procedure given below.

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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: Evaluate this path limit: 4.xy3 =??? lim (x, y)¬(0, 0) 2x² +y6 x=y3

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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 In…

A: Explained below

Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = x +7…

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

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Q: Consider the series 3 4n n=1 Determine whether the series converges, and if it converges, determine…

A: The given series,           ∑n=1∞34n

Q: Determine if the following series is absolutely convergent, conditionally convergent, or divergent…

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

A: