Express the area A of the cross-section cut from the paraboloid- y by the plane z=k as a function of k.

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Q: Find the arclength of y = 4x² +5 on 0≤x≤1 Question Help: Post to forum Submit Question

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Q: Find an equation of the plane containing the three points (-1, 5, 1), (-7, -3, 10), (-7, -2, 12) in…

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Q: Determine whether the following sequences converge or diverge. Answer "Converges" or "Diverges." nh…

A: Explanation of the answer is as follows

Q: 5. f2cotx−3 sinx dx sin x

A: Using substitution and direct integration

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Q: nd the volume of the solid generated by revolving the region bounded by the given curve and lines…

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Q: The line tangent to the graph of y=x3 at the point where x=0.2 crosses the x-axis at the point…

A: We have given equation of the curve  y=x3 Put x=0.2 y=0.23 y=0.008 Say,  x1,y1=0.2,0.008…

Q: (4) Given & & unit vectors and 1²₁³)=³/2 Find 12-31

A: Given  e and f are unit vectors.

Q: Consider the vector function r(t) = (2t + 1)i + (3 − t2 )j− ln(t)k. Find the length of the curve…

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Q: Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 23…

A: Given Suppose that the number P( t ) of bacteria ina culture after t days is given by formula P( t )…

Q: If k(x)= 3 x - 729 X-9 X k(x) complete the table and use the results to find lim k(x). X-9 8.9 8.9…

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Q: Find the volume of the solid generated by revolving the region bounded by the given equations about…

A: We need to find volume.

Q: A There is no correct answer from the given choic 3 2√t E سان t-l/2 √t

A: We will find the required.

Q: Plot the points whose polar coordinates are given below, then convert each point from polar to…

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Q: Find the a. v. u, |v|, |u| b. the cosine of the angle between v and u c. the scalar component of u…

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Q: 1 7. For f(x) write the linear approximation at a = 0 and estimate f(-0.1). (Note: The derivative of…

A: Let's find value of f(-0.1).

Q: Find the general solution for the following differential equation. y" - 25y = 0

A: y''-25y=0

Q: Average vs. instantaneous rates of change. Frank was monitoring the population of fruit flies as…

A: Note :- Since you have posted multiple questions with multiple subparts, we will provide the…

Q: b) A farmer wants to put a fence around a rectangular paddock which is part of his block (see…

A: A farmer wants to a fence around a rectangular paddock which is part of his block. Only three sides…

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not…

A: The answer is in step 2.

Q: Find the work done by a force F = 8i (magnitude 8 N) in moving an object along the line from the…

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Q: each limit. You may use the provider

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as a…

Q: 1. A 30-ft ladder makes an angle of 60° with the horizontal when it reaches a given spot on a wall.…

A: We are asked to find the angle  will a 35 ft lader makes with the horizontal if the reaches same…

Q: For the position function s(t)= - 16t² + 110t, complete the table shown below with the appropriate…

A: Let's fill the given table and find instantaneous velocity at t=4.

Q: A survey of 255 adults found that during the last year, 60 traveled by plane but not by train, 60…

A: We are required to find how many adults did not travel by any of these modes of transport

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

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Q: Solve and graph. Express answers in both inequality and interval notation.

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Q: In Exercises 17-26, evaluate using Theorem 2 as necessary. 17. lim x → 0 X 18. lim x → 0 tan x 19.…

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Q: By determining f'(x) = lim h→0 f(x) = 6x² = f(x+h)-f(x) h (Simplify your answer.) find f'(4) for the…

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Q: What are the odds in favor of drawing a face card from a standard deck of 52 playing cards? 10:3…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: f(x) X 1) Given the graph of f(x) above, use geometry to evaluate each of the following parts below.…

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at the given…

A: We have given parametric equations x=6t y=3t3 When t=-1 x=6-1=-6 y=3-13=-3 Say,  x1,y1=-6,-3…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: (B): Solve the following O.D.E. dy dx ytan(x) - y²sec(x)

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Q: YpH.Y. By 4 where y (o)=0 y'co)=2

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Q: Suppose that f is a f(x) = 6x² + cx 6x² + cx if x 2 Determine the value of c for which the limit of…

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Q: To set up our curve in Mathematica, run the following: R=5; r[t_]:={R*Cos [t], R*Sin[t], t} (We…

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Q: Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 95…

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Q: Find the 34th derivative of the function f(x)=cos(x)

A: To find the 34th derivative of the function fx=cos x.

Q: Find the limit of f(x) + g(x) as x approaches c. lim f(x) X-C lim g(x) X-C Exercise (a) 17 4 Step 1…

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Q: The graph of a function f is given. (Enter your answers as comma-separated lists.) a = 3 YA → 1 (a)…

A: Graph of the function is given, we have to find the given values.

Q: Suppose f and g are continuous functions such that g(5) = 2 and_lim [3f(x) + f(x f(x)g(x)] = x → 5…

A: Given;  g(5)=2 and limx-5[3f(x)+f(x)g(x)]=20.

Q: Given that f(x) = 9x − 1 and g(x) = 8 - x², calculate (a) f(g(0))= (b) g(f(0))=

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Q: 4. lim a-2+ a+1 a²-4 1-²) 6-a² a4

A: Here we have to find the limit of a function.

Q: Select all of the following graphs which represent y as a function of x. O O -5 -4 -3 -2 -1 -2 -3 -4…

A: The graph represents the function of x if for each x value there is exactly one y value. Also, if…

Q: The monthly profit from the sale of a product is given by P = 32x - 0.2x² - 150 dollars. (a) What…

A: We have given monthly profit  P=32x-0.2x2-150 Differentiating profit function with respect to x  P'…

Q: lim 4 sin 3t 3t -i- 3t 3³¹-31-1j+ −j+ 2t e cos t

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Q: CO: a) Find values for the parameters a and Po. Round your answer for Po to three decimal places.…

A: We are asked find the value parameters a and p0