Find the volume of the ellipsoid x² + y² + 10z² = 49.

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. f(x) = 5+ H…

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Q: Find the value k that makes the function continuous. kx 10, x 10 M > f(x) = _ 4x + 10, x < 10 Submit…

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Q: Is Area = ∫βαf(x)dx∫αβf(x)dx as positive, negative or zero? positive negative zero

A: Here in first graph we had shaded the area under this function as given below in figure : So from…

Q: lim (√²-x-√√² + x) H418

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Q: ● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

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Q: Evaluate the following. √(x²-2) e¹-6x dx

A: Use substitution method to solve the integral.

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

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Q: Find the limit, if it exists. lim 5x+4 x 7x-6 Need Help? Read It Master It

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Q: The index of refraction n of a transparent material is the ratio of the speed of light in a vacuum…

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Q: Evaluate 7664/7 [²² (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) X

A: We have to evaluate of given integral

Q: Find the Cartesian coordinates of the given point. (-4, -1/3) ○ (-2,2-√√3) (2,2-√√3) (-2-√√/3,-2) Ⓒ…

A: First I have written the Cartesian coordinates of a polar coordinates rule, just use it for given…

Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: 1. Consider the differential equation: dy = = 2y - cos (3t) dt a. Find the homogeneous and…

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Q: Use Newton's Method to approximate the zero(s) of the function. Contine Rx)-x+2.7x² +3.55x-2.422…

A: answer is in next step

Q: Solve the following differential equations of d² y dx² dx dy +3 dv −10y=3x²

A: We have to find the solution of the given differential equation.

Q: Find all points of intersection of the given curves. (Assume 0 ≤ 0 ≤ 7. Order your answers from…

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Q: Find two positive integers such that the sum of the first number and four times the second number is…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 3)…

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Q: Show that the lines L₁ : x = 4-t, y = 2t, z = 1+ t and L₂ : x = 1 + 2t, y = 3 - 4t, z = 5 – 2t are…

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Q: Find the exact value of cos(195°) using the fact that 195⁰ = cos(195⁰) = 225° -30°.

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 3 + 4x + 3x² + 2x³+... and g(x) = 6…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: 3. Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that has a…

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Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

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Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

A: Find your answer below

Q: (-3,0) y = h'(x) (0, -1) (-1,-2) (0, -2) (3,0)

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Q: Locate the absolute extrema of the function on the closed interval. f(x)= x³ 12x, [0, 4] -

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Q: Find The complete Solution of the differential eqution y" +24+4y=cosx Subjected to The condition…

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Q: (a) Write a sum formula for sin(u + v + w). sin(u + v + w) = (b) Write a sum formula for tan(u + v +…

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Q: 3. Fxz²i + (1 − 3xy)j + yzk, - A. xyi + 2yzj - 3yk B. zi + 2xzj - 3yk VXF=

A: Given vector field F=xz2 i+(1-3xy)j+yz k

Q: 5. (a) Find the exact value of sin (20) given that sin (0) = 3/5 and 0 is in quadrant II. (b) If cos…

A: Given problems:- 5. (a) Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in…

Q: Find the first four nonzero terms of the Taylor series about 0 for the function f(x) = √1+x cos(3x).…

A: We need to find polynomial series.

Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

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Q: Find the fourier transform of x*arctan(x) x*tan^-1(x)

A: Solution of the problem as follows

Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

Q: Watch help video Answer all of the questions below about the function f(x) graphed below when x =…

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Q: Find fa, fy, and fz. f(x, y, z) = 5z ln(x³y³ cos(z)) fx = fy fz f₂ = =

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Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

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Q: Find the differential dy of the given function. sec² x dy Read It Need Help?

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Q: 6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F…

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Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18

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Q: 2. lim lim (x-i) tan (x 3 x) x>1 (x+1) sind (2x-2)

A: We have to find the limit of the given function without using l' hopital's rule.

Q: 6- Write four examples about sketch the graph in polar coordinates from families of cardiod and…

A: Let's find.

Q: (b) y=x-6, (1, 1)

A: answer is in next step

Q: Integrating Factor by Linear Equations: 7.xx-y-5x43x² + 2x = 0 dx

A: Let's find.

Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Domain -3 ≤ x ≤ 8 -5 ≤ x ≤ 5 -7 ≤…

A: We can find the domain of the equation as below.

Q: Suppose you deposit $1000 at 7% interest compounded continuously. Find the average value of your…

A: To find out the average value of account during first 4 years.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 6] x2

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Q: Sketch the region enclosed by the curves and find its area. y = x, y = 3x, y = -x + 4

A: Given; y=x, y=3x, y=-x+4   Now find the point of intersection between the line y=-x+4 &amp; y=3x.…