Find the volume of the given solid region bounded below by the cone z= sqrt(x^2+y^2) and sphere x^2+y^2+z^2=2^2

Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

A: Here we have to use the concept of derivatives.

Q: Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

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Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

A: just differentiate the given function by using chain rule of derivative and easily find the required…

Q: Find the slope of the tangent line to the polar curve r = 1 + cos(0) at the point specified by 0 =…

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Q: Which statement is TRUE about trigonometric functions? O a. The derivative of sin x, cos x and tan x…

A: The answer with explanation is given below:

Q: 2. Use differentiation to find a power series representation for f(x) = (1+x)²·

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Q: A fish is reeled in at a rate of 4.0 feet per second from a point 10 feet above the water (see…

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Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: 10. [VF² dx [Vr³ dx 11. 12. [Vx¹0 de 13. (u²+u+1) du 14. dv / ( ²0¹² + √² + v) du [w³+²+ w dw 15. w3…

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Q: Question +² + 1 and g(x) = 2 between x = 2 and x = 3. If R is rotated Define R as the region bounded…

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Q: (xy² + y-x) dx + x(xy+1) dy = 0

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Q: 3. Test the following series for being convergent or divergent: (2) Σ < (3n)! n!(+1)!(+2)! (c) Σ…

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Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

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Q: Determine the absolute extreme values of the function f(x) = sinx - cosx + 6 on the interval 0 ≤ x ≤…

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Q: S e2x x2 dx

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Q: Which condition shows the correct application of the chain rule?

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: We know that, Newton’s law of cooling is given by, dT/dt = k(Tt – Ts) Where, Tt = temperature of…

Q: II. Solve the initial value problem. 1 1 (a) ,y(e) = 1 dr x+1 x(x + 1)'

A: We have to find out the solutions

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(8y) dy =…

A: Let's solve given diffrential equation.

Q: For items 22-23: The equation of a curve is y = 6tanx. 22. What is the slope of the tangent line…

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Q: Question x² Find the lower sum for f(x) = 5- on the interval [1, 5] using 4 rectangles. 5 10 F…

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Q: An open-box (top open) is made from a rectangular material of dimensions a = 8 inches by b = 6…

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Q: 149. Determine the real number a such that vectors a = 2i +3j and b=9i+aj are orthogonal.

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Q: Given the function y = f(x) defined at all real values of x. Let x = 2, 3, 5 and 7 are critical…

A: According to given, The function f(x) is increasing in (-inf,2) and (5,7) This is because f'(x) is…

Q: A payment of $25,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

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Q: Find an explicit description of Nul A by listing vectors that span the null 1-4-20 A= 0 0-10 0 A…

A: In order to find the explicit description of NulA we have to find the solution of the system Ax=0…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. - eu du (6 - e4)²

A: topic- indefinite integral

Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: ¹ ln(1 + x) dx X 0

A:

Q: A payment of $2,300 is due in 2 years and $3,700 is due in 4 years. These two original payments are…

A: To find:The payment required 3 years for the rescheduled option.First we have to take effective…

Q: Evaluate the double integral: L Loddy. dr dy. y²/3 x² +1 Hint: Change the order of integration to dy…

A: We need to evaluate integral.

Q: Put the equation that is in general form: y = x² + 22x + 112 into standard form: y = (x − h)² + k:…

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Q: The derivative of f(x) with respect to x is the function f'(x) and is defined as f'(x) = lim 0…

A: The given equation of the curve y=x2+6x+2

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A: To find out the population 3 years from now.

Q: Given a second order differential equation d²x dx 3: + 2x = 2e³t dt² dt dx where t = 0, x = 5 and =…

A: The given differential equation is: d2xdt2-3dxdt+2x=2e3t  where x0=5, dxdtat t=0=7.The above…

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given po…

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = sec about the…

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Q: which is TR

A: We have to choose the correct option from the given options according to the given information

Q: Consider the function f(x) = 3 - 3x², − 4 ≤ x ≤ 1. The absolute maximum value is and this occurs at…

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Q: (5x²+4)

A: ddx15x2+43

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. tan(2x…

A: The given function  tan(2x+y)=2x

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We can solve this as follows:

Q: What is f' (5) given the function f (x) = O 0.48 O 0.048 O No correct answer O 0.049 0.49 /x-3 √T+3…

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Q: f(x)=√√3x² +6x+2

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Q: Given cost and price (demand) functions and C(q) = 115q +31000 and p(q) = -2.3q + 800, what price…

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Q: Initial Knowledge Check Write the domain and range of fusing interval notation. 3 4 (a) domain =…

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Q: [x²√√x + 17 dx

A: ∫ x2x+17dxLet u=x+17.=∫u-172udu=∫ u52-34u32+289udu=∫ u52du-∫ 34u32du+∫…

Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…

A: