The definite integral is equal to [²3x 3xdx Select one: O none of the others O 3 lò O3 lò xdx +3 lit xdx xdx -3 fỉ xdx O3 lò xdx +3 /ỉ xdx © 3 l xdx +3 sỉ xdx

Q: Question [ a) Show all your work. Evaluate 3 L(x-1 (x − 1)√√x + 1dx

A: As per the rules we can answer only the first question and rest can be reposted.

Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

Q: Integrate (sinx + cos^2x)^3 dx

A: To evaluate: ∫sinx + cos2x3dx Let I = ∫sinx + cos2x3dx ⇒I =…

Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: Write the partial fraction decomposition of the following rational expression. 3x² - 8x + 20 X(X +…

A:

Q: Evaluate the following definite integral. 1 18 18 -9 Find the partial fraction decomposition of the…

A:

Q: Write the given expression as an algebraic expression in x. sin(2 tan-¹(x)) X

A:

Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Suppose the line L crosses the y axis at 7 and L is Tangent to a function f(x) at the point (5,3).…

A:

Q: : Use the chain rule to find the derivative of w= x² + y² with dw with x = cost + sint, y = cost-sin…

A: This question is based on chain rule differentiation.

Q: Let ā= and b = . Find 3a + 3b.

A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1 Find the plane…

A:

Q: Find the Riemann sum using R4 over the interval [0, π]. y = x² sin x

A:

Q: Evaluate 2 1.³ sin(2x + 3)dx -0.9989 None of them -0.9998 1.21 0.9989 -0.9899 0.9899

A: ∫0π/2 sin(2x+3)dx here we have to integrate then apply limit  integration of sinax = -cosax/a apply…

Q: Use the table of Laplace transforms to find the Laplace transforms of the following cos² 2t sint cos…

A: Topic:- Laplace transform

Q: Solve the initial value problem y" + 5y' - 24y = 0, y(0) = a, y'(0) = 80. Find a so that the…

A:

Q: Q6: Find A-1 where A [1 -1 3 6 12 1 0 -2 4

A:

Q: Find the value Saxe-aix dx

A: Given: ∫0∞x e-x10dx

Q: Which proper integral would you use to help determine the convergence/ divergence of the series and…

A: Integral test of convergence:Consider an integer N and a function defined on the unbounded interval…

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 r=4.5 Option 4 O r=3 r²…

A:

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: we can complete the table.

Q: Evaluate the following integral or state that it diverges. S (15 In x)dx Select the correct choice…

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to analyze and sketch a graph of the function and find any intercepts, relative extrema,…

Q: =√₁²-1d₁ S²³ If f(x) = X u²-1 du then what is f'(3)? I

A:

Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) (4,5) Option 3 O (√2,75)…

A:

Q: an +1 Suppose that an Σ απ( – 16)" gar n=1 →1 as n → ∞. Find the radius of convergence.

A:

Q: Three numbers are in the ratio 2:5:8. If their sum is 60, what is the smallest of these three…

A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

Q: / Find Lim X. tan' 2 X X-100

A:

Q: 17/3 cos (t)h(sinct)) dx

A:

Q: can you please write it clearly for better un

A: see below the answer and calculation

Q: 8 Find the sum of the series. Σ4¹/n-41/(n+1) answers. n=1 Give reasons for your

A: We have to find the sum of the given series.

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 Option 4 O r=3 Option 2…

A:

Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

A:

Q: Question [ a) [1 b)' 1. : Evaluate 6 1₂° ₁x + 2 ): If Show all your work. then find f(x). c) [ graph…

A: a)∫26 (x+2)x-2 dxLet    x-2 = z2      implies     dx =  2z dzx=2   ⇒ z =0x=6  ⇒ z= 2The integral…

Q: Complete the parametric equations of the line through the point (4,-8,3) and perpendicular to the…

A: See this solution in below

Q: The differential equation 2ydx-(3y-2x)dy=0 is Exact homogenous and linear O

A:

Q: 42. y=+on [1/2,2] 6

A:

Q: In geometric sequence the common ratio is denoted by RO

A:

Q: The equation (x - 1)² + (y-4)² + (z − 3)² = 25. - is an equation of the sphere with center C(1,4,-3)…

A: NOTE: Refresh your page if you can't see any equations. . the given equation of sphere is

Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

Q: If y, and Y2 are linearly independent solutions of y" + 3y + (5 + t)y = 0 and if W(y₁, y2)(1) = 3,…

A:

Q: dentity the type and determine the linearity of the given differential equation, and also give its…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

A:

Q: Σ (²-2) for j=1 to 50. The summation equals

A: NOTE: Refresh your page if you can't see any equations. .

Q: Given y 2x² find 4.1 The interval(s) on which / increases or decreases. 4.2 The local maxima and…

A: We need to explain function.

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A: We have to find correct option of given integration by dividing limits.

Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

Q: OLA: Solve the following system by (method of inverse) 2x₁ + 3x₂ = 5 x₁2x₂ = -1

A: Given problem:- Solve the following system by (method of inverse) 2x1 + 3x2 = 5 x1 - 2x2 = - 1

Q: A boat is heading towards a lighthouse who's beacon light is 148 feet above the water. The boat's…

A: Topic = Trigonometry