Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given by x – y + z = 5. 10 19 9 (x, y, z) = 13’ 13’ 13

Q: Find an equation of the plane through (0, –9, –1) that is perpendicular to the line x – 2 = 3t, y +…

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Q: 2- consider the set of all finite subsets of N, is this set countable or not, prove it?

A: Consider the set of all finite subsets of N, is this set countable or not, to prove it.

Q: Show that the lines L1 : x = 2 – t, y = 2t, z =1+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

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Q: Four towns wish to build a radio station. Suppose that the towns are located at (0, 0), (8,0), (0,…

A: Station is located at the point ( a,b)

Q: Consider the following function. f (x, y)  =  (x − 4) ln(x6y) (a) Find the critical point of  f.…

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Q: k-1 Consider the geometric series ) 3 k=1 (a) Find the formula for the nth partial sum of the…

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Q: 23. Integrate: S x+2 dx 2 A. V1– x² + Sin-1x + C C. -V1– x² +Sin-1x + C B.V1 – x2 +Sin-1x + C D. –V1…

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Q: Use logarithmic differentiation to find dy/dx. x² – 4 x2 + 4 - y = x > 2 dy dx II

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Q: Determine the area of the right half of the cardioid formed by r = 7+6 sin 0 14 12 10 8 6 2 -2 -4…

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Q: Pls show the complete solution, thank you very

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Q: An open top box with a square base is designed to contain 2000 cm³ of volume. If we let z denote the…

A: An open top box with a square base is designed to contain 2000 cm3 of volume. If we let x denote the…

Q: (y-3)/(x³+1) dy = y4dx is a separable differential equation. Select one: O True O False

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Q: Consider the function Sx² + 8x + 22 if x < -4 | 2x + 14 f(x) = if x 2 -4 Step 1 of 3: Find lim f(x).…

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Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 7 tan-1 Р(-8, 8); а —…

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Q: 1 n + 1 n = 4 /- 8.

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Q: Vcos² x*(x-1)³ (x+Vx)² 3. y = 2 Differentiate using Logarithmic Differentiation

A: y=cos2x43x-13x+x2

Q: Perpendicular to each of the planes x – z+ y = 0 and 2x + z – 4y = 5 and containing the point (4,…

A: We have to find an equation of the plane which is perpendicular to each of the planes x-z+y=0 and…

Q: 0,81 - 0.3104 + 27, wheret is the time in hours after When a factory operates from 6 AM to 6 PM, its…

A: Given problem:- When a factory operates from 6 AM to 6 PM, its total fuel consumption varies…

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Q: Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x a I. tan x 2.…

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: - (D² – 1)y = 8xe"

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Q: Find the solutions graphically. 2x- 3x2 - 23x+ 12=0 ... The solutions are| (Type an integer or a…

A: The given equation,      2x3-3x2-23x+12=0 Note:    Multiple questions are given, we are answer with…

Q: Integral: J. (x +3y) dA, where R is the region in the first quadrant bounded by the y-axis, the line…

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Q: Identify the open intervals where the function is changing as requested. Increasing 3 45 6 O (-3,…

A: Increasing

Q: Find parametric equations of the line through (-1, –1, 6) that is parallel to 2i – 4j+k. x(t) = y(t)…

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Q: 5. E-1 ne-" n=D1

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Q: Find F (x). F(x) = sin e de Jo F '(x) =

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Q: At each point (x,y) on the curve, the slope is 2x+1. The curve passes through the point (-3,0). Find…

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Q: Use synthetic division to find the quotient and the remainder. (x* - 4x° + 4x + 4) = (x – 2) ... (x*…

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Q: 4x2 [cos (2)* 1. lim X→+00 Find the limit using L'Hopital's Rule

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Q: n²+1 Consider the sequence {a} '1=n'מ where a n²+4 • a. What is lim a ? n- 00 • b. What can you…

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Q: 1 Consider the telescoping series > (2k – 1)(2k + 1)' k=2 (a) Find the formula for the nth partial…

A: Given problem:-

Q: 7. Integrate: S sec? (n²x)dx A. 2n tan n² + C В. x sec2 п2 + С C.금tan(T2x) + C D. x sec nx + C 8.…

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Q: Discuss the continuity of the function on the closed interval. Function Interval 9 - X, f(x) = [-3,…

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Q: Type exact answer only. No other unnecessary symbols or words. Write DNE if your think the limit…

A: Here we have to find the limit when x tends to '-2' , '0' , and '3'.

Q: What two positive real numbers whose product is 19 have the smallest possible​ sum?

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. (If an…

A: Given query is to find the Indicated value of the function.

Q: Determine if the following statement is true or false. The points P,(14, 9, 9), P2(7, 1, 0), P3(0, –…

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Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 = 2/3x + C O b. y? = -4/3x+C O c. y/2 =…

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Q: dv Solve the differential equation ds s+1 You may leave your answer in implicit form. sv+s

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Q: dx 25. Integrate: S Ve-2x –1 А. Sec-1e* + С В. Sec-1е-* + С С. — Sec-1e* + С | D. —Sec-1e-* + с

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Q: What is the derivative of f(x) = %3D (² - (z – 1)")* 02 (2 – (a – 1)°) (-3z² + 8z – 3) O2 (2² - (2 –…

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Q: Demuestra la convergencia o divergencia de las sucesi S2n-11 (3n+1J 2 converge - 3 Converge a 0 1…

A: The given sequence is: 2n-13n+1 Let, an=2n-13n+1

Q: ecot x 20. J sin? x(e-cotx) dx is equal to А. е cot x + C B.글ecot x + C С. —есot x + C D. -ecot x +…

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Q: Calculate the Riemann sum R(f, P, C) for f(x) = x, P = {1,1.3, 1.6, 2}, C = {1.2, 1.45, 2}. R(f, P,…

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Q: height of 1000 feet reaches the gro

A: answer is in next step

Q: Solve the given problems. 1. Determine the distance i to the center of mass of the homogeneous rod…

A: Solution: y2 = x2  y=x32 y'=32x12