a) Enter a definite integral that gives the volume of the solid when the region above is rotated about the line y = -3. definite integral V= b) Enter a definite integral that gives the volume of the solid when the region above is rotated about the line y = 6.

Q: dz 2+2vz

A: The given integral,       ∫dz2+2z

Q: 1. Find the area of the region bounded by y = cos x and y=cos'x for 0sxsn/2. Note: Make sure you sho...

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Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to co...

A: As per Bartley guidelines we are supposed to answer only three subparts of one question.  This post ...

Q: Let s(t)=4t^3+48t^2+180t be the equation of motion for a particle. Find a function for the velocity....

A: This function is related to motion of partical. Solve in step 2.

Q: What is the domain and range of the function g(x) shown in the graph below? a. Domain: -9 ≤ x ≤ 11 ...

A: Given query is to find the domain and range of the function.

Q: 6. The limit of that constant is that constant. 7. The limit of a constantc times a function is equa...

A: Since we are given with the multiple number of questions and our guideline is solve the problem only...

Q: Evaluate using trigonometric substitution ∫(x+4)/(x^2-9)dx

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Q: The transformation of a function f(x) into a function g(x) is given by g(æ) = Af(Bx + H) + %3D where...

A: We are asked to find the transformation.

Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

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Q: For the functiong whose graph is given, state the following. (a) lim g(x) = X- 00 (b) lim g(x) = X--...

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Q: Evaluate the given expression. d (1.7(x - |x|)] dx

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Q: Consider the function (* if a 1 Evaluate the definite integral. f(x) dr

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Q: Evaluate the limit. lim

A: We have to find limit of the given function.

Q: Find dx/dy if y=4/square root sec x

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

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

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Q: 1 2 2 y y 1 1 Is your estimate an underestimate or an overestimate? O underestimate O overestimate (...

A: To solve the following problem

Q: The point (- 17, – 20) is on the graph of y = f(x). | a) A point on the graph of y = g(x) , where g(...

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Q: ate the integral. (If the quantit 8. dx (x2 + 4)2

A: The given integral,                ∫-∞∞xx2+42dx

Q: What is the exact value of cos (tan¬'m) where m = :? 12 Provide your answer below:

A: if m=512 To find: the value of costan-1mSolution :let tan-1m=θm=tanθtanθ=512=pbh=p2+b2h=52+122=13cos...

Q: Question 5 Find the value of df/dx at x = f(a). f(x) = x - 3x + 5; a = 5 1.

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Q: dx (2² + 4)3/2

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Q: 1. Sketch the graph of y=2-x. 2. If fx) =x(*+2)(z-3), use interval notation to give all values of x ...

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Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 ...

A: Growth factor is the ratio of any two successive measurements.

Q: 4. The surface area, S, of a sphere of radius r feet is S = S(r) = 4rtr2. Find the instantaneous rat...

A:

Q: dx x² Vx² +9

A: Given that a integration of 1/(x2√x2+9). We know that Integration power rule is given  as - integrat...

Q: 4. (D² + 4D + 5)y = 50x + 13e 3x

A:

Q: An object moves along a line so that its position at any time t is given by the function s ft), wher...

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Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an ordere...

A: The supply and demand function,Sx=4x2+11x+43Dx=115-x

Q: хр x?V25 - x

A:

Q: Find the solution vectors u and v such thất tne solution space is the set of all linear combinations...

A: The given equations are; x1-2x2+x3-x4=0 x1+2x2+x3+11x4=0 x1+x2+x3+8x4=0.

Q: The differential equation below models the temperature of a 94°C cup of coffee in an 18 C room, wher...

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Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The Average Rate of Change function is defined as the average rate at which one quantity is changing...

Q: Use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unk...

A:

Q: Let z = f(x,y) be a function with continuous second partial derivatives throughout R2. Assume that f...

A: RECALL: Suppose (a,b) is a critical point of f(x,y) and the second order partial derivative are cont...

Q: Calculate two iterations of Newton's Method for the function using the given initial guess. (Round y...

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Q: The solution of a certain differential equation is of the form y(t) = aet + bet, where a and b are c...

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Q: Find the average value of the function f(x) = x- 2x +1 on the interval [-1, 3]. %3|

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x...

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

A:

Q: 4 - 3 + – Find the limit of f(x) = as x approaches o and as x approaches - ∞o. 9. 9 - X

A: Find the limit of the function .

Q: substitution to convert the integral to an integral of rational functions. Then use partial fraction...

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Q: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data...

A: Given query is to find the the linear function and time taken to completel full the balloon.

Q: ASK YOUR TEACHER PRA -x²/2 from x = 1 to x = 1.4. (Ro 27

A: Use Simpsons rule with four subdivisions to approximate the area (in units^2) under the probability ...

Q: State the type of the quadratic surface: (중)" + (분)2 + (종), =1 1. Ellipsoid 2. Hyperboloid of one sh...

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

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Q: х2-3х-4 - 3x- lim x-4 х— 4

A: The given problem is solved below in detail.

Q: Find constants a and b such that the function 3– bx, if x>-2 f(x)=- -1, if x=-2 ax – bx, if x<-2 | i...

A: Given query is to find the value of a and b.

Q: The table gives the output values that a function assigns to given input values. Input (x) Output ...

A: Given table Input (x) Output (y) −2 −8 4 10 9 25 12 34