Using trigonometric substitution to solve: f 1 A + C 8 sec x√4-sin2x sin 2x + C 4 cos x√4-sin²x sin 2x + C 8 cos x√3-cos²x secx 8 csc 2x√3+cos²x B + C cos x dx 3 (4-sin²x)2

Q: The region R enclosed by the curves y=x and y=x^2 is rotated about the x-axis. Find the volume of…

A:

Q: 1. A. B. C. D. dx If f is solved by trigonometric substitution, the resulting x²-2x-4 integrand is?…

A:

Q: Find the arc length of the parametric curve. L x = 4 cos(t), y = 4 sin(t), z = 3t; 0≤t≤ T

A: Given problem:- Find the arc length of the parametric curve.   x = 4cos(t), y = 4sin(t) , z = 3t ; 0…

Q: I need help on number 12. Thanks!

A: 12. The given differential equation is y'-y=0  .................................. (1) We assume the…

Q: Find F'(x). SOLUTION IN HANDWRITTEN x 1. F(x) = sin √t dt 2. F(x) = sin t² dt

A:

Q: f(x, y) = 3x² - y x4 x² + 2y ² 1 (x, y) = (0,0) 2 D (X,Y)= (0,0) 1 Determine if f is continuous at…

A:

Q: 3. Calculate the inverse of the following functions: a. f(x) = 6+x 7 3 b. f(x) = 2-x

A: To find the inverse of a function : Write y = f (x) Replace every  x with y and replace every y…

Q: 10. A. B. C. D. Consider ·S -9 +3 what is the integral form in terms of ? sin ²0 de Scos²e de sin²e…

A:

Q: 1. f (5x¹8x³ 2. f (4x + 2) de +6x² - 4x + 7) dx

A: Topic:- integration

Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1…

A:

Q: Calculate the derivative. y = x4 - 4 x² 5 (Give an exact answer. Use symbolic notation and fractions…

A:

Q: quotient (Express numbers in exact form. Use symbolic notation and fractions where needed.)…

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

Q: Find Do not simplify your answers. dy da 1. log;(√2x² + y) + tan(x² − 7") = sin¯'¹(x² − 1) + ½

A:

Q: B C D N Given: √-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms…

A:

Q: Calculate the derivative. x4 - 4 y = x² - 5 (Give an exact answer. Use symbolic notation and…

A:

Q: Your answer is incorrect. Evaluate the definite integral. NOTE: Enter the exact answer. Ld+23|| =…

A:

Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the…

A: Concept: As we know that a equation of the line through the point (α,β,γ) and perpendicular to the…

Q: 1. Evaluate the following limits. Using L'Hôpital's Rule is not allowed 3. lim (x-3) tan(9-x²)…

A: We will calculate the limits by Limits rule

Q: Exatuate the integral QUS √3x xام واح

A:

Q: Question 4 15x²x³43x - 19 The integral (x + 1)²(x² - 6x +13) Ax + B What is the value of ax²+bx+c²…

A:

Q: dp p(-75+25p²) 2 S. Trigonometric Substitution

A:

Q: d d [ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiatin dt Calculate the product directly and…

A:

Q: sec+2x tan 2x and -dx 11 1 I + 12 tan 2x 16 tan³2x Ⓡ (cor³2x) ( 1+3csc22x 12 Ⓒ/cot²2xcot³21+C 16…

A:

Q: The IBP formula fudv-uv- - fvdu can also be written as fudv + ſ vdu = uv Which of the following…

A: Given that the four options  To find choose the correct option which is satisfi IBP formula

Q: Question 16 A line through (-1, -2) with a slope of -10 has a y-intercept at

A:

Q: 0, y = 0 x ≥ 1 In Exercises 49-52, determine whether the given point is in the feasible set of this…

A: Inequality

Q: Solve 4t² +8t+4= 0 by using the square root method. Hint: complete the square first! Enter each…

A:

Q: 2. Show that the series is conditionally convergent. n=2 cos(nx) √n ln n

A: Solution of the problem as follows

Q: a. Find the volume of the solid obtained by rotating the region bounded by y = x³, y = 8, and x = 0…

A:

Q: x = 48 cos(t),

A: answer is in next step

Q: H-w.4 Find the volumes for the following solids whose heights are defined by E(x,y) and bases are…

A:

Q: The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee…

A: answer is in next step

Q: Use the information given below to find sin (a-³). 12 tan a = with a in quadrant III I 5 3 cos B =…

A:

Q: 1 2x²-3 √² ²3 dx = (x² + 3)² + ²x² ³ + d x+√√x²+3 27 x²

A:

Q: Find the equation (in terms of 2) of the line through the points (-5,-4) and (2,3) y =

A:

Q: rage value of the function over the given interval and al e function equals its average value. =…

A:

Q: Calculate the derivative. f(x) = (6ex - 7x²) (x³ + 1) (Use symbolic notation and fractions where…

A:

Q: A 0 B) 48 32 D) 96 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: The given problem is solved below in detail.

Q: Solve for the limit of the following limits functions. Write your answers in simplest forms. If the…

A:

Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

A:

Q: b Sx³sin(2x)dx= [x²s(2x) dx = 27x²³ - 24 W 64 Given : Find bif s sbst

A:

Q: x²+x+1 Sa 2x²+2+3+x A B cb dx g(x) - dx = [Aƒ (x) − B ln(g(x)] + D fb da, and if A = ‚B <0, then dx…

A:

Q: Using integration by parts, 2 x³ cos(x²) dx = k Then k is? (a) - 1.5136 (b)-1.1365 2 x sin(x²) dx k…

A:

Q: 2 (tan²x + 1)√sin2x.dx= (tan², 0

A: Find your answer below

Q: Find the average rate of change of g(z) = 4x + 5 between the points (-4,-11) and (3,17)

A:

Q: f(x, y) csc(y) Arcsin (x²) find fx (x, y) and fy (x, y).

A:

Q: Question 4 Solve the equation: 1²+t+19-0. Fully simplify all answers, including non-real solutions

A: The given equation is: t2+t+19=0

Q: 0 X State in words all the transformations necessary to obtain the graph of y=2f(x-2) from the given…

A:

Q: Do as indicated. 1 1. Let f(x) = Find the equation of the tangent line to the graph of f'(x) at the…

A:

Q: Given f(x)=√x-5;x#5 and g(x)=x+3. Find the domain of (gof)(x)?

A: