Evaluate: S x (1 – x²) dx Here, we are given with an integral which needs to be evaluated from 0 to 1.

Q: Q1. Use numerical evidence to evaluate lim (-2x + 5) based on the table given. X 0 5 .9 .99 1.01 1.1…

A: The answer is in step 2.

Q: Part C Ajar of crunchy peanut butter contains 1.69 kg of peanut butter. If you use 8.9 % of the…

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Q: Consider the following. power X 1 2 3 y 2 2.8284 3.4641 4 4 5 4.4721 6 4.8990 Find the equation of…

A: Let us plot the given table.

Q: 6. For f(x)= x², write the linear approximation at a = 1 and estimate f(1.05).

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Q: DITT # 8-6-4-2 8- -4 2. H 9 H 68. H

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Q: 4: (1 zero? s) In what directions is the derivative of f(x,y) = (x-y)/(x² + y²) at P(1, 1) equal to

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Q: (d) v(t) = 7t (e) y = power function polynomial function of degree 7 polynomial function of degree t…

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Q: incorrect

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Q: fFnd the derivative of: g(x) = 3cos^6(18x^4)

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Q: Find the limit (enter 'DNE' if the limit does not exist) 1) Along the x-axis: 2) Along the y-axis:…

A: We have to find limit value along different path and examine that lim is exist or not.

Q: The owner of a skating rink rents the rink for parties at $1200 if 60 or fewer skaters attend, so…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Solve equation on the interval 0 ≤ 0 < 2π. (Enter your answers as a comma-separated list.) 3 sin² 0…

A: given  3sin2θ-10sinθ+7=0  ,  0≤θ≤2π3sin2θ-3sinθ-7sinθ+7=0

Q: d [cos³ (x²)-csc(x²)] dx

A: We are required to find the value of ddxcos3x2-cscx2     The following formulas of derivatives has…

Q: Change from rectangular to spherical coordinates. (a) (0, -√3, 1) (p₁0,0) = ( (b) (4, 4, 4√6)…

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Q: 7. Describe and sketch the surface in R³ represented by tion x + y = 2.

A: Given: x + y = 2

Q: sin x 17 A. 21.1° = sin 88 47 B. 21.2° C. 58.8° D. 58.9°

A: Given query is to solve for x.

Q: Find the standard equation of the parabola which satisfies the given conditions. vertex (7,11),…

A: Given:- vertex7,11 and focus 16,11

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: 153.3 mm #6. A man, standing on a tower platform 40 yards above the ground (with an eye level of 5…

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Q: I needed help with both parts. specially part b.

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Q: each

A: We have to find its value according to the given information.

Q: Find a curve that passes through the point (1,-6) and has an arc length on the interval [2.6] given…

A: given passes through (1,-6) given arc lenth is ∫261+400x-6dx

Q: Which of the following is/are signified by lim f(x) = ∞? I a As a approaches a, the value of f(x)…

A: solution:-limx→af(x)=∞ means that  whenever x is close to (but not equal to) a, then f(x) is a large…

Q: Find the horizontal asymptote of f(x) y = = 2x + 4x³4 3x³ + 5x²2

A: The given function fx=2x+4x3-43x3+5x2-2. We have to find the horizontal asymptote of the function.

Q: a) Find f(-3) if f(0) = 0. b) Find f(-3) if f(4) = 15. c) Find f(-3) if f(-5) = 30.

A: We are asked to find the f(x).

Q: A function f(x) is continuous at an x value of aif and only if the following three conditions are…

A: Concept If a function is continuous at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )

Q: The base of the solid is a square, one of whose sides is the interval [0, 2] along the the x-axis.…

A: volume = length×width×height given  f(x)=5x2given base of solid is square and one of whose side is…

Q: If ƒ is an increasing function and ä2 > x1, then ƒ (x₂) < ƒ (x1) True False

A: Given: f is an increasing function and x2&gt;x1

Q: Write the equation form for the plane defined by co x1 + 1 Ex2 + -10 -0-0-0 + s 3 + t X = x3 = -1 3

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Q: re in your answers). B) = 1³. √B) = 4) 3) = А A) B || = -D the help (formulas) help (formulas) help…

A: We have to write in x and y terms according to the given information

Q: X 4+x -√4-x

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Q: The position of a particle in the xy-plane at time t is r(t) = (t - 2) i + (²+1) j. Find an equation…

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Q: Consider the function Evaluate the definite integral 5₁ f(x) dx = Evaluate the average value of f on…

A: Given that f(x)=x   if x&lt;1 1x if x≥1We have to evaluate definite integral ∫-15f(x)dxand average…

Q: The cost function for manufacturing electric drills is estimated to be: 4x²_ C(x) Where C(x) is in…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Given that f(x) = x² – 15x and g(x) = x + 6, find (a) f(x) + g(x)= (b) f(x) – g(x)= (c) f(x)g(x)=…

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Q: The graph below is the function f(x) 5+ 4 3 2 -5 -4 -3 -2 -1 7 -1 -2 -3 -4 -5- Find lim f(x) x→2-…

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Q: 2 f(t) = sinht += sin² 3t

A: We know  ℒftt=∫s∞Fsds

Q: For the given acceleration vector a(t) = 6ti+ (2t+ 1)j−12k and initial velocity vector v(0) = −4i +…

A: Given acceleration vector a( t ) = 6ti + ( 2t + 1 )j - 12k  initial velocity vector v(0) = −4i + 2k…

Q: 4. A cup of coffee has a temperature of 80°C when it is placed outside where the temperature is…

A: The given data is: A cup of coffee has a temperature of 80 degrees celsius when it is placed outside…

Q: I do not understand your writing, and can you explane it any more?

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Q: sec²x. - y X |dx +N(x,y) dy=0 dx

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Q: Find the limit. (If an answer does not exist, enter DNE. X-6 lim X-6 x² - 36 STEP 1: Factor the…

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Q: Find the distance from the point P to the given line L. P(0, -1, 2) and L: x=2 + 3t, y=-3-2t, z = -3…

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Q: For the function f(x) = 2x³ -x, make a table of slopes of secant lines and make a conjecture about…

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Q: If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c…

A: Given D = adult dosage ( in mg ) c = appropriate dosage a = age Given model c = 0.0417D( a + 1 )

Q: Determine an equation for the plane passing through the line of intersection of the two planes,…

A: Given planes equations:- P1: x-2y=5 P2: y+3z=6P3: 7x+5y-z=-3

Q: Part 1. For what values of x does f fail to be continuous? A) -5 B) -4 C) -3 D) -2 E) -1 G) 0 I) 1…

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Q: How much work is required to move an object from x = 1 to x = 6 (measured in meters) in the presence…

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

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