31 What is the volume of this cylinder? 6 m 7 m Figure not drawn to scale Use T 3.14 and round your answer to the nearest whole number. Volume = cubic meters

Q: Evaluate the indefinite integral. 8 + x*dx + C

A: topic- indefinite integral

Q: Evaluate the double integral. /| 4x²sin y²dA; Ris the region that is bounded by y = x², y = -x², and…

A: Given problem:-

Q: 1. Given ā = 31 -9j and b = -6i +j compute each of the following. (a) 105 (b) 14ā + 205 1 (c) 8b 3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

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Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. f(x) = 4,…

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Q: 12. Find an equation for the tangent plane to the surface given by 2xy = 2z2 - ryz at the point…

A: Use tangent plane formula

Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

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Q: dy y+1 2.

A: Integrate as general

Q: gths of pregnancies in a small rural village are normally distributed with a mean of s and a…

A: Here the range is 233to 293.  Here I am providing my notes

Q: Let g(t) = 4t dæ a) Evaluate d 4t dx = dt b) Evaluate d dt c) Evaluate gʻ(t) =

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Q: 15. The solution of Laplace equation и + 3 0, и(х,0) — 0, и(х, п) — 0, и (о, у) — 0, и(0, у) %— 3sin…

A: Please see the below picture for detailed solution.

Q: Find a power series for the function, centered at c. 1 h(x) 1 C = 0 8x' h(x) = n = 0 Determine the…

A: We have to find the power series and interval of convergence.

Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-'…

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Q: 2. Write the Riemann sum to find the area under the graph of the function f(x) = x* from x = 5 tox =…

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Q: 23. Use Stokes' theorem to evaluate Se F · dr, where F(x, Y, z) = (xy, yz, zar) and C is the…

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Q: В. 5. We let y(t) be the position function. What is the position function? A. p(t) = - 16t2 - 100 t…

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Q: fast

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Q: find Fourier series on [0,2n] オーズ 0<x<T (12) f(x) = Tくx<2元

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Q: Find the average value of f(x) = 14 – |x| over the interval [ – 14, 14]. fave

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: I z x sin(y²)d.xdy Calculate

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Q: Use a double integral to find the volume under the plane z = 20x + yand over the rectangle R {(x,…

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Q: Indicate whether the following statement is true or false. P(x) Let P (x) and Q (x) be polynomials…

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Q: Consider the limits. lim f(x) = 5 x→7 lim g(x) = -14 x-7 Evaluate the limit using the limit law for…

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Q: Each unit of a product can be made on either machine A or machine B. The nature of the machines…

A: Here, from the given details, C(x,y)=30+x26+260+y39 That should be minimized using…

Q: Find the centroid of the region R bounded by the graphs of y = x² and y = 1.

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Q: Find the exact arc length of the curve over the stated interval. 1 -2, from y = 1 to y = 2 1 49…

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Q: Find u + v, u – v, and 3u 5v. Then sketch each resultant vector. | u = (-4, 1), v = (3, -5) %3D (a)…

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Q: Question * Determine the nature of convergence of the following improper integrals 00 1 dx 1+ x* A =…

A: ∫a∞f(x)dx=limR→∞∫aRf(x)dx  If the limit exists and is a finite number, we say the improper integral…

Q: Find the inverse of the function. f(x) = 9-2x^3 f^-1(x) =

A: THIS QUESTION CAN BE SOLVED USING THE CONCEPT OF INVERSE OF FUNCTION.

Q: NOTE: Enter the exact answer as an improper fraction if necessary. A =

A:

Q: aluate the iterated integral. || 5x²sin(y) dy dz dx =

A: Given: ∫0π∫05x∫0xz5x2sinydydzdx

Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

A:

Q: c) Use the Chain Rule to compute %3D ds se In (c) express your answer in terms of the independent…

A: Here, the given functions are: f(x,y,z)=x4y+z4, x=st2, y=st,z=s2t

Q: Find the exponential function that contains the points (2,48) and (3,192).

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Q: Question The following telescoping series Σ en+1 en+2 - n=1 converges to e - 1

A: The given problem is solved below in detail.

Q: Find a formula for the nth term of the arithmetic sequence. 26, d = 8 a1 %3D an

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Q: The graph of a function y (=) is shown At which point is the following true (Only type the letter of…

A: Topic:-   calculus

Q: dy Compute the derivative y' dt 2t – 9 - y = 5t 2

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Q: Find the length of the curve of the graph of the indicated function. y = In(sen x), between points…

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Q: Let f(x) = 10x° + rx? + e2x. Compute f(")(x). (Use symbolic notation and fractions where needed.)…

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Q: The graphs of the function f (r) =7 – 2? and g(æ) = 3 are given below. %3D 10 f(x) = 7-x2 4- g(x) =…

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Q: Find the exact arc length of the curve over the stated interval. y = 8x2/3, from x = 1 to x = 8…

A: The expression for the arc length of the curve is: L=∫x1x21+dydx2dx   Given; y=8x23x1=1 &amp; x2=8

Q: If f is differentiable at a number, x, then f is continuous at x.

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Q: Find the limit. lim (ti – 3j + r² k) 1-2 lim (t i – 3j+r k) = i+ j+ i k %3D i

A: The question can be solved using the concept of limits.

Q: Suppose a product's revenue function is given by R(g) is units sold. - 6g? + 200g, where R(g) is in…

A: To solve the following problem

Q: Evaluate the iterated integral. 5 cos(r + y +:) dz dx dy

A: We know that integration of sinx is -cosx + c  and integration of cosx is sinx + c.       Here i…

Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x7 1 g(x) = 5x + 1 (Express numbers in…

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Q: 1 -dt , find g'(2). V4 +t5 If g(x) =

A: Let's find.

Q: Evaluate the iterated integral. 6 7 8 /// (x² + y² + z²) dxdydz -6 0 0 6 7 8 (x² + y² + z?)dxdydz i…

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Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.