The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters, then how fast is the VOLUME changing?

Q: The following series are geometric series. Determine whether each series converges or not. For the…

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Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: Determine whether the following definite integrals converge or diverge and evaluate each convergent…

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Q: If f a system of tow equations in two variables has infinitely many solutions, then it is…

A: Here we have to determine the true and false statements.

Q: The value of f (3), for the following function f (x)=√√2x-20

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Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

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Q: We are interested in the first few Taylor Polynomials for the function f(x)= 7e + 3e-* centered at a…

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Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: 5. Ssin' x dx.

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

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: A company's revenue from selling x units of an item is given as R = 1200x x². If sales are…

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Q: PRACTICE Q7. Consider the series Σ(−1)n-1 (x + 1)" n-0 nb2n where b is a given non-zero constant.…

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Q: Let R(t) = (t²,1 − t², t) and r(t) = cost. Determine the parametric equations of the line tangent to…

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Q: Find L-1 (5² 7². 2s+3 s²+4s+13

A: To find the inverse laplace.L-12s+3s2+4s+13

Q: 1+x² 1. Find the area of the region bounded by the curve y=- and the lines y = 0, y = x, x = 2. 2x2

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Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

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Q: following relation { (a,b), (b,a), (c,b), (c,a) } is not a function.

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Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

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Q: a Identify the type of sequence presented in the table. b. Write an explicit Formula for the…

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Q: √√x+1 Sketch the graph of the function Determine the value of x when y = 3, algebraically and…

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Q: Find the derivative of f (x) = 5* In (x). Enclose arguments of functions, numerators, and…

A: Given; f(x)=5^x. ln(x)

Q: Find a value of c that will make the following function continuous at x = 0. sin² 4x x ≤ 0 x² f(x) =…

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Q: :- Find the volume of the solid between y = x+1 which obtained the curves y = (x-1)² and by rotation…

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Q: A lumbering battle tank's treads applied wildly varying forces in order to propel it to move…

A: We know that,  Work = force * displacement    W = F * x  = 10x(1-e-0.03x2+0.2cosx)

Q: 2e^xdx-3e^ydy=0   Find y and y'.

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Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: Homework: MML 1.1 T Line Find the slope and the y-intercept of th y=6-2x Select the correct choice…

A: Given query is to find the slope and y intercept of the line.

Q: y = (x²+1)4 (2x + 1)² (3x − 1)5

A: We have to find derivative

Q: If ye cos x 8 lnx, find f'(x).

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Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1² d 4.

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Q: Find дz əx 2 x²y²exy for zx

A: Let's find partial derivative.

Q: 9. Name the polar coordinates of the point graphed below. 플 S ㅍ 3π 10 -0

A: one radial line show one unit radius here point is at 4 number so point is (4,π/3)

Q: Find J2z Әх у of z = x3 + 5x² у + 6

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Q: Write an equivalent expression using exponential notation: a3

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Q: Find the Jacobian ə(x,y,z) / ə(u,v,w) of the transformations below. a. x=3u cos v, y=5u sin v, z=7w…

A: We want to find Jacobian.

Q: dy 9 Find the general solution of the differential equation: - dt t Use lower case c for constant in…

A: Here we have to find the general solution of the given differential equation,  dydt-9t·y=t5 Compare…

Q: Given [ƒ(x) a f(x) dx = -5, and g(x)={3x+2,355 / 3x+2,3≤x≤5 integral. Find the value of k that…

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: Given query is to find the height when velocity is 100ft/sec.

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

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Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) = [" = cosh (√2t - 1) dt at…

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Q: 11. In each part state the x-coordinates of the inflection points of f. Give reasons for your…

A: We want to find inflection points.

Q: for a system of two equations in two variables, the graph of the equations are the same lines, then…

A: We have to find out the solution existence

Q: Find Laplace 2 2 [sin(34) + 65inh czt) ]

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Solid S is bounded by the surfaces z=x2+y2 and z=4-x2-y2

Q: Where x <0, the point (-x,2) is located in Fourth quadrant AO Third quadrant y-intercept .CO Second…

A: Solve by quadrant

Q: If p(x, y, z) = x²z + ey/x, evaluate grad op at the point (1, 0, -1).

A: The function is φ(x, y, z)=x2z+ey/x

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

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Q: A certain tank of depth 10 ft is a surface of revolution formed by rotating y = x² about its axis.…

A: Given : tank depth = 10ft And eqn y=x^2 Find work done?  Formula used : work done = mgh

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

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Q: 8. 位 dx √x

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