Determine the volume of the solid by rotating the region bound from y=sin(pi*x/2) & y = x2 from x = 0 to x = 1 about the y axis. Skecth the graph of the region

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

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Q: A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the...

A: This question is based on application of derivative.

Q: y = 1.

A: answer of given question is in step 2

Q: Which of the following is/are true of f(x) =(x+3)*at x = -3? A. Continuous at r=-3 B. Discontinuous ...

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Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: 6. - fycos ydy

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Q: 34x + 16 f(z) g(z) The partial fraction decomposition of 8x2 can be written in the form of - 14x + 3...

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Q: Calculate the curvature of the vector function when t= -7: 7(t) = (1+ 2t, 7 – 3t, -8 + 5t)

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Q: Q14

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Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is dx x2 y? x2 x2 No OO O

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Q: 6 -dx Find 1

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Q: the integral expression on the left to an equal expression on the right. (cos(x)-cos(7x))dx ots Subm...

A: We will solve the integral. 

Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about th...

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Q: -3 dx dy 0, y2

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Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the t...

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Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: Evaluate: sin ycos³ydy. A none of the given choices sin'y sinsy +C B sinty siny -+C sin'y sin3y +C 8...

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Q: Consider the following. f(x) = 6x3 – 9x? – 108x (a) Find the intervals on which f is increasing or d...

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Q: Which of the following best describes the function below? (3x ifxs2 x if 2<x f (x) =

A: Checking limits:When x approaches to 2 from left side:=limx→2- f(x)=limx→2- 3x2=3(2)2 =12When x app...

Q: An exponential function has a growth factor of 1.07. What is the percentage growth rate?

A: Let's understand with the help of an example. Let salary of a person increases by 25% per year and i...

Q: Given the matrix and its eigenvalues 3- 1-R 1 becomes has eigenvalues R = 1 + i -1 1-R Find the new ...

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Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 4- 2- 0.5 1 ...

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Q: (1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x²...

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Q: 700 find the following. For the demand function q = D(x) = - a) The elasticity b) The elasticity at ...

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Q: indicated

A: Please refer to the image below

Q: Find the most general antiderivative. A B D

A: Let's find. 

Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

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Q: bx a a dy dx 0. 0,

A: The value of the given double integration is ab/2

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter y...

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Q: '5 '5 A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 10, ...

A: Given problem:-

Q: 5 dA over the region R = {(x, y) | 0 < I< 5,0 < y < 3} by identifying it as the volume of a solid.

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Q: 1. sin

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Q: Question 6 Evaluate the double integral over the given region. S *+x4 - 3) dA, R: 0 sx s1,0 sy s2 15...

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Q: Find the most general antiderivative. dx

A: Given,           ∫1x5-x5-13dxTo find : The antiderivative of the given function.

Q: Which of the following best describes the function below? S (x) ={** if.rso |-r² if 0 <.x A. Continu...

A: To find out the correct statement. 

Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 from t = ...

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Q: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated in Example 7...

A: Given that, The trigonomatric function is following, cos{sin-14x} We have to find the algebraic form...

Q: ne graph of y =- have a horizontal tangent line? +9

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Q: For WHAT VALUES OF THE EXPONENT m is the function y = xm a solution of the differential equation: x?...

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Q: Question 3 Determine whether the improper integral converges or diverges. 14e5x dx A Diverges B Conv...

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Q: Do not round any intermediate computations. Round your answers to the nearest degree. 1. Let v =-7i+...

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Q: Amy raises ducks, and she takes their eggs to the farmers' market to sell. Today she collected 19 do...

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Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the ...

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is par...

Q: Provide an appropriate response. If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y ...

A: We will find the value of dy/dt with the help of the given data x=2 ,y=5 and dX/dt=-3 as following.

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of...

A: To solve the initial value problem.

Q: Use linear approximation, i.e. the tangent line, to approximate V16.I as follows: Let f(x) = Va. Fin...

A: L(x)=f(a)+f'(a)(x-a)

Q: Use the Method of Substitution to find the indefinite integrals: a) / te“dt (q

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Q: f (x, y) = xª – 2.x² + y² – 4y + 5. a) Use the second derivative test to find the critical points b)...

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Q: the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 %3D %3D from t...

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