x² 1- x6 dx

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √6-x, 4 ≤x≤6

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Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: Consider the table

Q: Simplify the following expression. X X X [ 1 + 2 at (Hint: [ 1 + 2 at = [ 1 + 2 at + J / 1 + 2 at dt…

A: Given that ddx∫-xx1+t2dt. We have to simplify this expression.

Q: Matt bought a new car for $35 000 and sold it five years later to Martin for $20 000. Assume that…

A: Given: Matt bought a new car for $35000 and sold it five years later to Martinfor $20000. The value…

Q: Determine the speed along a parameterized path c(t) = (7 sin¯¹(t), 8 tan¯¹(t)) at time t = 0 (assume…

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Q: Sketch of f(x)=-4 H H H H H H H H

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Q: Graph f(x) = 3x2/3 − x. (The 2/3 is an exponent on the x.) a. Compute the first derivative. Make a…

A: f(x) =3 x23-x f'(x) =233 x23-1-1         =2x-13-1         = 2x13-1 To draw the sign chart, compute…

Q: Determine the convergence or divergence of the series. 1. Σne-n² n=1

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Q: [ ,20 ' sin (30 ) d0

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Q: Find a Cartesian equation for the curve. r = 7 sec (0) Identify the curve. O circle O hyperbola O…

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Q: Vector a is What is the component form ä? Enter your answer, rounded to the nearest hundredth, by…

A: Here the given vector in the magnitude and direction form as a→=r∠θ =30∠110°

Q: For the quadratic function f(x) = 7x² + 14x + 1, answer parts (a) through (c). Verify the resu…

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Q: 04: Find x and y which satisfy the relation: -4 XZ ×-- ]

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Q: Write a polar equation of a conic with the focus at the origin and the given data. 7 3' hyperbola,…

A: The polar equation of a conic section with  focus at origin, eccentricity e and the equation of…

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Remember to use absolute values…

A: The given integral is: ∫9-x2x dx

Q: Q.4// Solve the following differential equation using the method of undetermined coefficient: -6y +…

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Q: Find the mass of the solid and the center of mass if the solid region in the first octant is bounded…

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Q: + 4x²y³j+re²²k.

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Q: what does the following integral equal? 10 √ [4f(x) + 69(x) — h(x)]dx = [ -77 -10 T f(x) dx = 14 77…

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Q: Given the vector u equal to 8 (cos 0°, sin 0°) and vector v equal to 3 (cos 165°, sin 165°), find…

A: U=8(cos0,sin0)  V=3(cos165,sin165)  To find the magnitude and direction.

Q: The linear density p in a rod 3 m long is Pave 14 x + 1 Find the average density Pave (in kg/m) of…

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Q: Find the area under the curve y = 8cos 2 and above the x-axis from x = 0 to x = π.

A: Given equation of curve                                    y=8cosx2

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

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Q: Combine the three separate logarithms in the expression 10log(a)-log(u)-6log(=) into a single…

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Q: A 10-kg quantity of a radioactive isotope decays to 7 kg after 17 years. Find the decay constant of…

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Q: D Use the Root Test to determine convergence or divergence (or state that the test is inconclusive)…

A: We have to find if the series converged or diverges.

Q: (a) Find an approximation to the integral Rs = X (b) If f is integrable on [a, b], then Need Help?…

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Q: Ex (3): Given U= 4-2i ; V= 3-4 atib= (utiv)w, find a ad b. Ex (4): Given U= 2+3i find U+V.. v/w…

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Q: 2. The population of city, in millions, is given by P = 3.4 log (2t + 13), where t represents the…

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Q: For the function f(x)=14x³ -x, make a table of slopes of secant lines and make a conjecture about…

A: The function fx=14x3-x

Q: Graph: y -x+2 -5 -4 -3 -2 -1 Clear All Draw: Check Answer 5 4 ریا 3 2 1 -1 -2 -3 -4 -5+ 1 2 3 4 5

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Q: Write the expression as a sum and/or difference of logarithms, with all variables to the first…

A: Let, y=ln6p3q5 y=ln6p3q512 Using power rule  lnak=klna .......(i) y=12ln6p3q5

Q: Consider the function f(t) = 3t+1 and real number a = 4. =ff(t) dt for a. Find and graph the area…

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Q: What is the sum of the first 9 terms of the sequence -4, 12, -36, 108...? A B C -39,364 -19,684…

A: the terms are -4,12,-36,108..... find the sum of the first 9 terms ?

Q: A 10-ft-tall fence runs parallel to the wall of a house at a distance of 6 ft. Find the length of…

A: A 10-ft-tall fence runs parallel to the wall of a house at a distance of 6 ft. Find the length of…

Q: Three bakers Ali, Bala and Charles, each baked some muffins. 1/5 of Ali's muffins were equal to 3/10…

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Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞ in…

A: let B=limx→∞(5x159x13+31x15)

Q: Question 2: Find the slope of the tangent line of the function y = 3x² - 4x² at the point x = 12…

A: The slope of the tangent line to the curve is equal to the derivative of the given function at a…

Q: Use the graph of the quadratic function f to determine the solution. (a) Solve f(x) > 0. (b) Solve…

A: Explanation of the answer is as follows

Q: Find the general solution for the differential equation. dy = = 12xy dx The general solution of dy…

A: dy/dx =12xy Find general solution of dy/dx = 12xy y =?

Q: Write the function whose graph is the graph of y=√x, but is shifted to the right 2 units. y=…

A: To write the function whose graph is the the graph of y=x, but is shifted to the  right 2 units.

Q: IT y = -x + 6 y 6 ett 2 2 dx = 4 6 X

A: We have to find the area bounded by the curve and fill the boxes

Q: A trapezoidal plate with height hand bases a and 2a is submerged vertically in water as shown.…

A: Given that, a trapezoidal plate with height = h, Bases = a, 2a, and the weight density constant = δ.…

Q: Determine whether the series's converges or diverges

A: we have given series ∑n=1∞ n+1nn

Q: Given vector v = (-4, 4), find 2.5v graphically by stretching the vector by its tip and then writing…

A: Given data v=-4,  4 find- 2.5v

Q: Let f(x) = 3+ √5-8. Find f f(₂)=[

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Q: valuate the definite integral by interpreting it in terms of areas. 8 (5x – 20)dx

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Q: Solve the following homogeneous differential equation: 2y4+ x1 Kya =

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Q: Determine the convergence or divergence of the series

A: We have to find if the given series converges or diverges.   For this we will use the integral test…

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 8…

A: r2θ=49 To sketch the curve, we can start by graphing r as a function of theta in Cartesian…