.A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + C here A, B, and C are constants. Show this by evaluating the integral and calculate A + B.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: A function F is an antiderivative of the function f on an interval I ifLfor all x e 1. (A) F(x) =f (...

A: A function F is an antiderivative of the function f on an interval I if 

Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

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Q: Let a2 az A = | b1 b2 b3 C1 C2 C3 Suppose that det(A) = 3. Find the determinant of the following mat...

A: On changing determinant of row to corresponding column, there will be no any change on determinant.s...

Q: h" (t) = sec? t – Vt, h(0) = -3, and h'(0) = 3. %3D

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Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

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Q: d²y Solve: dx2 dy + 42+ 4y = 4x²e¬2x, cos 2x %3D dx

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Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at th...

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Q: Circles and parabola are functions A. True B. False

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Q: find the vector equation of a plane that contains the intersection line of x + y + z = 1 and x – y +...

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Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - The contour...

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Q: Below is the graph of y = x +5. 20- 15 10- -4 -3 -2 -1 0 1 The area bounded by y = x +5 and the raxi...

A: Given problem:- Find The area bounded by y= x2 +5 and the x-axis from  x=-3 to x = -1

Q: 2-28 Determine whether the series is absolutely convergent. conditionally convergent, or divergent. ...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  here the sequence...

Q: Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

Q: faywyn = fæwwyy fææryy xyx xxxYy True False

A: Given :

Q: Activity 5: Read and answer each item carefully. Show your answ heet. 1. Use table of values to find...

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Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cos x,...

A: The region is bounded by y=cos x and y=2-cos x, 0≤x≤2π

Q: 7/2 sec*(t/2) dt

A: Here we will solve the given definite integral,

Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: Consider the triangle formed by joining the points (0, 0), (A, B) and (C, 0) as depicted below. (A, ...

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

Q: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

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Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

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Q: Draw a graph of a function that satisfies the following properties.  1) f(x) 0 for x>0 3) f(0) = 0...

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Q: Center of Mass: Point masses in the plane. Suppose three point masses are placed in the ry-plane as ...

A: We find out centre of mass for the given system. Follow 2nd step.

Q: yesin 3y* dy dy 5. csc 6y

A: The question is a little incorrect. I have modified the question a bit: the denominator should be: c...

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: On the graph of f(x) = csc x and the interval (0, 27), for what value of x does f(x) = –1? Choose al...

A: Topic:- trigonometry  

Q: Country Population Size Number of Eggs Consumed Number of Cattle Area United States 325 millio...

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Q: DEvaluate the Riemann sum for f(x) = x- 1, -6<x<4, with five subintervals, taking the sample points ...

A: A function is given that is f(x) = x - 1. We have to find the Riemann sums for f(x) on the interval ...

Q: Solve the triangle below. Re 6. 37 R

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Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

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Q: Compute the directional derivative in the direction of v at the given point. f(x. y) = xy - x, v=i-j...

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Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

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Q: S Vx2 – 8x + 25 dx

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Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: We need to find center of mass.

Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And ∫e...

Q: Write an expression for the distance w in terms of y. Simplify your answer and write the terms in de...

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Q: 1. Graph y = -cos Ex) and y = -(x – 4)² + 1 accurately on the graph provided below. Provide the nece...

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 2. The function f(x, y)=...

A: We have to find degree of homogeneous function

Q: Find the domain and range Vx+1 1- y = 7 х-1 2 - y

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Q: y'dx-(xy + y* kty = 0 1. Let the substitution v=2; y= vx; dy = vdx+ xdv

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Q: cot e*dx e2x +1

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Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a functi...

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Q: Cora baked 16 cookies with 2 scoops of flour. With 5 scoops of flour, how many cookies ca Cora bake?...

A: Cora baked 16 cookies with 2 scoop of flour. With 5 scoop of flour, how many cookies Cora can bake.

Q: Let f(x) = 8- 4x + 3x. Calculate the following values: f(a) =| f(a + h) =| f(a + h) - f(a) %3D %3D f...

A: Topic = Functions

Q: 1. function f(r, y) = 4(x² + y²)e *. Find the local maximum and minimum values and saddle point(s) o...

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Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.