Evaluate: | evxdx.

Q: x4dx Using trigonometric substitution technique, the simplified integral after substitution 4 @…

A: ∫x4x2-4dx=∫x3xx2-4dxLet θ=arcsec12x.=∫ 16sec5θdθ

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

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

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Q: Question 10 Soviax. Evaluate: 2ev(/x+1) + C A 2 =2ev(/x- 1) + C © =2ev(/x+1) +c %3D 2ev(/x- 1) + C 2

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

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Q: 3. .

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Q: then udu = – xdx.

A: Follow the procedure given below.

Q: Use the Laplace transform to solve the given integral equation f(t) + (t – r)f(t)dt = t f(t) =

A: Note that, the convolution theorem says: If g(t)*f(t)=∫0tg(t-τ)f(τ)dτ then…

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

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Q: Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D…

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Q: ax+3, if x <2 f(x)= It is given that f(1)=5 bx2 +2, if x 22 and f(2)=6. Find the value of f(a+b). О…

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Q: ................ Absorption of Drugs The concentration of a drug in an organ at any time t (in…

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Q: 2х + 3, х<I f (x) dx if f(x) = Evaluate 5, A 21 B) 19 28 D 16

A: We will evaluate both the integrals as following.

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: 39) (a) Let Ax) = cos(3x – 2). Find f" (x). (153) (b) Let g(x) = 2***. Find g (x).

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Q: A function f has the form f(x) = a + b In(x). Find fif it is known that f(1) = 1 and f(2) = 8.…

A: Find your answer below

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t…

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

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: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v. Simplify your answers completely. u =…

A: Finding the given operations.

Q: Question 20 ) dm: -2m cosh2m dm A) True B) False

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Q: *dx Evaluate: 3x + 4 A None e 3x, ! sec-1 В +C |

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Q: Given the area of the region enclosed by y = 2 – x´ and y =-x, identify the integral that represents…

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Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

A: Slope of tangent

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: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: Which Theorem states: If f is continuous function on the open interval (a, b) then f attains an…

A: Since the extreme value theorem states that- If f is a continuous function on [a,b] , then f has…

Q: Question 16 n2x cos3x dx= sin5xdx - sinxdx A) True B False Question 17 csch2zdz=–In|csch2z –…

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Q: If  ?⃗×?⃗ = ⟨−3,5,−4⟩ and ?⃗⋅?⃗ = 4, find tan(?), where ? is the angle between ?⃗ and ?⃗.

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Q: b. g (x) 2.

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

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

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Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

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Q: Determine the parametric equations of the path of a particle that travels the circle: (x-4)2 +…

A: We have to find the parametric equations.

Q: Question 17 sech (Insinx) cotxdx ==2tan-' (sinx) + C A) True B) False

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Q: sin?u In tan"udu, where m is any positive integer, we use the transformation for tan?u= cos?u A True…

A: We have to choose the correct option according to the given information

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

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

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Q: 3. Evaluate the following integrals: cos e G = de J (1 + sin 8) vsin 0

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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: x e' dx Using integration by parts to evaluate it is best to let (x+1)2"

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 1-coskx 2. lim kx = 0.

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

A: (1) solution

Q: 3.1 e*dx Evaluate: (e**+1)/[e"+1)?-4

A: option A

Q: (sint – cos t)? =1- sin (2t)

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Q: For f(x,y)=-6x'y° : (a) Determine fx(x,y) . 6.6 Answer: -42x (b) Determine fy(x,y). Answer: -36x 7.5…

A: Given query is to find the Indicated derivative.

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: and that angle A is in Quadrant IV, find the exact value of csc A V91 10 Given cos A : in simplest…

A: The objective is to find the exact value of cscA.

Q: What is the general solution to the trigonometric equation? -V3 sec0 = 2 Drag the solutions to the…

A: Given, -3secθ=2 Divide by -3 on both sides, -3secθ-3=2-3 we have  secθ=-23

Q: Σ (-1)"+1 n³+1 n=0

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