A ball of radius 12 has a round hole of radius 9 drilled through its center. Find the volume of the resulting solid. Question Help: Video Message instructor

Q: Consider a revenue function defined as R(x) = At what value of x is the rate of change of revenue at…

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Q: Question Define R as the region bounded by the functions f(x) = 2x and g(x) = 1 between x = 1 and 2…

A: Here, the region R is bounded by the functions f(x)=2x, g(x)=1 between x=1, x=2. So, the region is:

Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

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Q: Q6. Let O(0,0), A(1,0), B(1,4) be points in the plane R². Then the following point lies in the…

A: I am attaching image so that you understand each and every step.

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A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

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Q: Find the following limit Select the correct answer below: 8 88 0 -1 lim x18 -3x3 + 7x² - 6x + 4 -3x²…

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Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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Q: Find the area between the x-axis and the curve y = -x² - 2x, -3 ≤x≤ 2.

A: Solution: Given that Curve is y = -x^2 -2x Area between the x axis and the given curve is

Q: Convert 3.2 ft2 to square inches

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Q: 1. Find the DE of all straight lines with slope and y-intercept equal.

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Q: if t(x)=x^1/4 and p(x)=x^4, what is f(p(x)) and p(t(x))?   I got t(p(x))=-4 and p(t(x))=4.

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

Q: Find the vector parametric equations for the line. in the direction of the vector 57-5-k and through…

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Q: Find a vector parametrization of the circle of radius 5 in the xy-plane, centered at the origin,…

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Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): x² 4 x -2 f(x) = { mx² 2 m = n =…

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Q: day 2x + 5x dx4 dy 3 dx' - xy = 0

A: To write down the degree and order of the differential equation.

Q: Express the function in the form fog. (Use non-identity functions for f and g.) G(x) = {f(x), g(x)}…

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Q: Find the area of the parallelogram whose diagonals are represented by the vectors a = (3,-3,1) and b…

A: As we know that; The expression for the area of the parallelogram with the diagonals a→ and b→.…

Q: x→a f(x) lim f(x) = x→a+ Olim f(x) = -8 implies that lim f(x) = - 8. x→a x→a+ lim f(x) = Ha Olim…

A: we will do as per the question.

Q: X- 1.Find the area bounded by y=sin(sin x), the and x = π 2. axis and the lines Find the area…

A: I am attaching image so that you understand each and every step.

Q: Q10) (E.G.) Let O be an interior point of AABC and let E,F,G be the foot of O on AB, BC, AC.If AB =…

A: Note- since you have asked multiple question but according to bartleby guideline i only have to…

Q: Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = over the interval [1, 3].…

A: Given thatRegion bounded by y=x28 , y=3xx=1 and x=3Using cylindrical shell mathod…

Q: Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E, F, G,H…

A: We have to find the relationship between area of 4 part of quadrilateral.

Q: fe* cos (2x) dx A. B. C. D. 2e* sin(x) + 2e* cos(x) + C 2 2 ex sin(x) ex cos(x) 2 2 2 ex sin(2x) ex…

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Q: Let f(x) = 5x + 4. Determine (ƒoƒoƒ)(x). (fofof)(x)

A: Given fog=hx=1x-7 and gx=x-7To find : fxSolution :fog=hxfgx=hxfx-7=1x-7let, x-7=tft=1treplace…

Q: Change the following integral to polar coordinates and evaluate: 4-x² [2² 0 x² + y² dy dx Sketo

A: To convert Cartesian coordinates into polar coordinates we use the following transformation, x=rcosθ…

Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

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Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

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Q: Find the domain and range of: 1) y = 區 2) y =√1-x², 3) y = x² - 2

A: See this solution in below.

Q: Complete the table below. Assume ƒ and g are one-to-one functions. x -10 6 g(x) (fog)(x) (gof)(x) 7…

A: We have to fill up the table

Q: Find the parametric equations for the tangent line to the curve x =t* _ 1,y=t* +1,z=t* - at the…

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Q: B. Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer…

A: Let's eliminate the arbitrary constant.

Q: Calculate 127 y [1/10 ds where C is the parabola r(t) = (t, t², 0). Let 1 ≤ t ≤ 4. X

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Q: You borrowed money and need to pay interest on the loan. You must pay 5% of the $6700 loan to remain…

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Q: Q10.IN R², let A(0,2), B(2,2),C(4,0),D(0,0). Then the quadrilateral ABCD is a: A) convex set B)…

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Q: Given that lim f(x) = 5 and lim g(x) = 1, evaluate the following. x→-1 x→-1 Give your answer as a…

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Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan² x, when x →0. Using the Sandwich…

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Q: if f(x) = x + 5* . find the derivative of this function f'(x) A. f'(x) = 5* In 5 B. f'(x) = -1 + 5*…

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Q: need help with the specifics of solving functions. I'm asked to find the domain of f(x)= (x-3)^1/2

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Q: 27 mg (b) Find the amount remaining after t days. y(t) = 216 e-0.1386xt mg (c) Estimate the amount…

A: Topic:- calculus   Note:- as per our guideline if more than three subparts need to be answered than…

Q: Verify if the given equation is a solution of the given differential equation. Show full solution.

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Q: Find the derivative of the vector function r(t) = ln(19 - t²)i + √17+tj − 7e-¹t k - r' (t) = (¯¯

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Q: Use the binomial series to find the Maclaurin series for the function. 00 f(x) = Σ n = 0 f(x) = 1 (1…

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Q: 2 1 1 -1 -2 2 3 4 5 6 2 7 { a The graph above shows the base of an object. Compute the exact value…

A: Concept: The Area of the half disk is given by A=π2y2 The volume of the region is given by V=∫abAdx…

Q: use a midpoint Reimamm sum with four subintervals to approximate the area under f(x) = 4/x on [3,5

A: To approximate area under given curve using mid point riemann sum.

Q: Match the properties of a circle in Column A to the Equation of the circle in Column B. Then pick…

A: Let's analyze the column A first. (1) Center at (3,-3) , radius of 4 Now we know that the equation…

Q: B.    Find the DE of each of the following by eliminating arbitrary constants               1.…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find a parameterization for the curve shown in the figure below.

A: NOTE: Refresh your page if you can't see any equations. . the given points on the line are

Q: QI complet the table: X f(x) 1 2.71828 L2(x) = LI(X) = (x-xo) (X-X2) (X1-X 0) (X₁-92) (X-X₁/(x-x2…

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