Identify the correct u (secx – 2) $dx cosx cotx A cosx cotx B secx - 2 (c) (secx – 2)5 D None

Q: Evaluate the integral. -2x dx 19 x e NOTE: Enter the exact answer.

A: Integrate it by parts. 

Q: 5. Evaluate the following improper integral, if possible. Show all work! (2x-1)

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Q: tan(tan3x) dx S cos²3x Evaluate: In [sec (tan3x)| +C A 3. B -In |cos(tan3x)|+c [cos(tan3x)| +C © --I...

A: ∫tan(tan3x)cos2(3x)dx∫sec2(3x)×tan(tan(3x)) dxSubstitute t=tan(3x)dt=3sec2(3x)dxdt3=sec2(3x)dx

Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.

Q: Evaluate the improper integral. (Hint: use the formula: S- dr = sin- +c)

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Q: 2x + 6 Consider the function f(x) = For this function there are two important intervals: (– 0, A | 6...

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Q: (29/x2 Evaluate the integral: -dx (A) Which trig substitution is correct for this integral? O x = 2 ...

A: To evaluate the integral: ∫29x2-4x4 dxA To determine which trig substitution is correct for this int...

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Q: (즈,-2)] ww m ie equation for this functic

A: topic - trigonometric equations

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A: As per our guideline, we are advised to solve first 3 subparts of the question . So please ask other...

Q: dx 1+ x2/3

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Q: dy if tan (xy + y) = dx = x. %3D Use implicit differentiation to find dy dx

A: We know,  d/dx (tann x) = ntann-1 x.sec2x d/dx(y2) =2ydy/dx by Implicit Differentiation. 

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A: Given:      -dydx=x+3y2x

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Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

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Q: Find the solution to the differential equation dz 2te12 dt that passes through the origin.

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Q: Evaluate: / 3'/ | 3° +4dy A 3' +4) : In27 +C A 2 (3+4) +C B.

A: Integration

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Q: 1 Find the two points on the curve y=- at which the tangents have as slope of -.

A: Given,            The curve y=1x at which the tangents have as slope of -12.To find : The two points...

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Q: If F(x) = |"f(t)dt then by the -5 Fundamental Theorem of Calculus, we have F'(x) = f(x) Select one: ...

A: Given that Fx=∫-5xftdtTo prove :F'x=fxSolution if Fx=∫hxgxftdtF'x=g'xfgx-h'xfhxFx=∫-5xftdtF'x=1.fx-0...

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Q: TRUE or FALSE. Type in "1" if TRUE, type in "2" if otherwise. | f(x)dæ = F(x) implies that d [F(x)] ...

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Q: Evaluate the integral by first performing long division on the integrand and then writing the proper...

A: Given problem:- Evaluate the integral by first performing long division on the integrand and then wr...

Q: a4 +dy: - +C Ina A) True В False

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Q: A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000...

A: We have to find the distance between the plane and the base of the arch and the distance between a p...

Q: Let F = (3x, 3y, 6z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where neede...

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Q: Given f(x) = ln(4 −3x) + 1 state the domain, range, vertical asymptote, end behavior, and x and y-in...

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Q: Tutorial Exercise Evaluate the integral. dx Step 1 Recall the Inverse Substitution Rule, where f and...

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Q: \ x² Vx2 + 16 Evaluate the integral: 29 dx (A) Which trig substitution is correct for this integral?...

A: The objective of the question is evaluate the indefinite integral .

Q: 19-42. Limit proofs Use the precise definition of a limit to prove the following limits. Specify a r...

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Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: For the following functions: a) determine if f is continuous at x1, if not, determine the type of di...

A: The given functions are:1. fx=x+3if x≤3x3-20if x&gt;3 at the point x1=32. fx=4-xif x≤44-x2if x&gt;4a...

Q: Question 57 A scientific sample of radium-2 decayed to 81% of its original amount after 2 years pass...

A: I am attaching image so that you understand each and every step.

Q: Q2: Use Cramer's Rule to solve the system:- 4х — у +z%3D-5 2x + 2y + 3z = 10 5х — 2у + 6z 3 1

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Evaluate the integral, then find 1- 3a. w – 1 dw - = w + a ln (w+ 1) + C w + 1

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Q: The population of Hungary1 has been modeled by P=9.919(0.998)t, where P is in millions and t is i...

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Q: Pictured are a contour map of fand a curve with equation g(x,y) = 8. Estimate the maximum and minimu...

A: Given And gx, y=8

Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

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Q: G. Find the derivative of the following functions using the limit definition. 1. g(t) = 2-5t 5t+2 2....

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Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: The slope of the secant of the graph of y=2x2 -3 through the points at which x = -2 and x = 1 is 1) ...

A: Given:      y = 2x2 - 3  Points : x = -2 , x = 1

Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

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Q: Consider the function f(x) = x²e12=. f(x) has two inflection points at x = C and x = D with C < D wh...

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