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

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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: 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: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.

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

A: Consider the function  f(y)=-24y25

Q: Find the equation of the plane that passes through the point (2, 1, 1) and is tangent to the surface…

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

Q: The definite integral sin24x cos2x dx is equivalent to x/2 (A -sin²0 cos²0 d0 2 x/2 В 2sin20 cos40…

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Q: 'x/2 dx Using an appropriate algebraic substitution, the integral - 1+x3/2 reduces to 2y² dy A 1+y³…

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Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: s) Find the equation of the tangent line to the curve y = x Vx´ +5 at the point (2,6).

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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: 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: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

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Q: Using the fact that the points P, Q, and R are collinear (lie on a line) if and only if PQ × PR = 0,…

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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: Suppose that f and h are integrable and that: frx) = -1 , , f(x) dx = 5 , ,h (x) dx = 4 ,Find: a. -2…

A: We have to find the given integrals.

Q: 2m '+e-2m ) dm=2 12m dm (А) True B False

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Q: 1 - tan³3r - ( ? ) tan3r +r + C, then find the missing ( ?) term. 9. Af ter evaluation, is / tan…

A: To solve the following integral

Q: 7)S ) dx 8)S; dx 1+3e* 9) S 3x3. e-2x* dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

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Q: Determine if the following series is convergent or divergent: 8 n=1 3n2 + 4n + 5 O Convergent O…

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Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

Q: Sketch the graph of a function that has an absolute maximum, a local minimum, but no absolute…

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Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

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: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

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

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Q: S 25 - x2 In -dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: Given, u= √(25-x2)

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: Question 17 Which of the following is NOT an improper integral? x-dx A -2 Vx2-1 x/2 sec x dx 01 x13…

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Q: sech (Insinx) cotxdx=2tan-(sinx) +C A True B) False

A: Solution: ∫sechlnsinxcotxdx =2tan-1(sinx)+C

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: Ln (sin? (D-C)x) Find derivative of f(x) = %3D xD-C

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Q: dx The only solution to evaluate is using algebraic substitution technique. 3+ A True B) False

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: orrect choice below and, if necessary, fill in the answer box(es) to complete your choice. The…

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Q: *) = (" ; ') - Show that :

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Q: (4x²+ 5x*)dx (x+1) (x²– 6x + 34) 2 By method of partial fraction, the integral can be evaluated when…

A: Please see the below picture for detailed solution.

Q: Of all rectangles with a perimeter of 33, which one has the maximum area? (Give the dimensions.) The…

A: perimeter of rectangle = 2(l+b) = 33 l+b = 33/2 l = 33/2 - b area of rectangle = l*b (33/2 -b)(b)…

Q: 3 Which of the following is equal to / sec 2 x tan³x dx to obtain the correct indefinite integral? A…

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Q: " dt = - * kdt, where k is constant A) True B) False

A: The objective is to find the correct option.

Q: Find the equation of a plane that is perpendicular to the vector 4i+4j−3k and passing through the…

A: On solving this we will get

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: 7. cot*xdx

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Q: ſla(Ji + s)dt 1.

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Q: 1. Find the angle between the following two vectors. and

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Q: Determine whether the lines

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

Q: raluate each of the following indefinite integrals: Show complete and detailed solutions. Expr swers…

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

A: