Use the law of cosines to find the angle of the triangle based off the sides listed below for figure/example 2

Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

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Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 2 3 12₁₂ +1 -1…

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Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

Q: 3. Which of the following is equal to fu" du? A) un+1 +C u"+1 B) +C n+1 C)n(u)n+1 +C D) + C 11-1 4.…

A: Topic = Integration 3) B 4) A 5) B

Q: Compute Au, where A Au = = 1 (56) 4 and u= (9).

A: The simple matrix product..

Q: NT - My M If = Q, where is a function of y only, then the differential equation M + Ny = 0 has an…

A: The given differential equation is;  ydx+(5xy-e-5y)dy=0

Q: An area is bounded by x^2 = 8y, y = 3, and the y-axis. This area is located in the first quadrant.…

A: An area is bounded by x2=8y, y=3, and the y‐axis. This area is located in the first quadrant.To…

Q: Consider the following homogeneous differential equation. xdx + (y-2x) dy = 0 Use the substitution x…

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Q: identify the equation of the curve that passes through the point (0, 1) and who tangent line has…

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Q: DE = ST D Given: Find: B wher ~ADBE. AC = 16, CB = 10 E is the midpoint of CB DE (Hint: Let DE = x,…

A: If △ABC~△DBE then ABDB=BCBE=ACDE E is the midpoint of CB CE=EB CB=BE+CE=BE+BE=2BEBE=CB2BE=102=5

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: Determine whether the differential equation (3x + 8) + (3y − 3)y' = 0 is exact. If it is exact, find…

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Q: A cube with sides 14 inches long is covered with a coat of fiberglass 0.4 inch thick. Use…

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Q: Let g(x) = 2 f(u) + 3 where u = x² + 2x. What is the derivative of g with respect to x? ○ 2. f' (u)…

A: Given query is to find the derivative of the function.

Q: 6. lim x-3 x2+4x+3 x+3

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Q: Consider the following demand function: Step 1 of 2: Find the elasticity function. Answer E(x) = p =…

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Q: Find all the points of g(x, y) = x³ − 3x + 3xy² where a relative extrema might occur.

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Q: Direction: Understand the situation and answer the questions that follows. Show your detailed…

A: Probability.

Q: Q5. Given two vectors a = and b = . Find (i) (a + b). (axb) (ii)the angle between a+b and axb.

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Q: Find an equation for the graph shown to the right. Type the equation in the form y = A sin (@x) or…

A: Given

Q: The definite integral that will give the area of the region S using HORIZONTAL strips is +9 Solve -…

A: The simple integration using diagram... Find out area

Q: 2. Which does not exist for a line in three-space? a) vector b) parametric c) symmetric d) scalar

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Q: Find a polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of…

A: topic- polynomials

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: Given the piecewise function below, find the value of k which makes the function continuous. f(x) =…

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Q: Problem 1. (a) Show that fi(x) = log(3x² + 5) is O(log x). Find the witnesses C and k explicitly.…

A: Concept: We have  f1(x)=log(3x4+5) is O(logx) that is it is the function of log(x)…

Q: Determine the interval(s) on which the given function is increasing. 6 3 2 1 -5 4 -3 -2 0 4 0…

A: Use graph

Q: a. Find an equation of the tangent line at x=a b. Use a graphing utility to graph the curve and…

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Q: lim 4x X f(x) ?

A: Using approximate approach ing toward 1/2

Q: 5) An equation of the of the plane passing through the points P(0,2,1), Q(2,1,2), and R(3,3,1).

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Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.)…

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Q: 1 If f(x) = 8 tan¯¹(8 sin(2x)), f'(x) =

A: Differentiate

Q: f(x) x→0 x² (a) lim f(x) X-0 (b) lim If lim = 1, find each of the following limits. f(x) X→0 X I X X

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Q: 7.) cot 2x dx 8. (sin x + x) dx 9. J (cos x sin2x) dx

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Q: 5. ²+²=2xy 6. 2x + 2y + 2y' + 1 = 0 dy dy 7.

A: Solution is here

Q: 5. lim X→ 3 3x-1 9x²-1

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Q: Find g(0), g(-4), g(6), and g 19 (27) √16-x² 2 Find g(0). Select the correct choice below and, if…

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Q: Let R be the region bounded by the line y = 1, the parabola y = x², and the curve y = √√. Find the…

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Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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Q: Use the definition of continuity to decide if the following function is continuous at a = -1. -1.0x²…

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Q: (10) A. 11 = (x²-3x-1) A. 11 3. lm, (x²-25x-5) x-20 B. 10 B. 10 C 9 C. 9 D. 8 D. 8

A: 1) Given limx→010 We know that limx→0K=K               where K is constant . Therefore limx→010=10…

Q: Write an equation for a rational function with following properties. Assume the multiplicity of each…

A: Vertical Asymptotes:- The  point where the denominator of a rational function becomes…

Q: 2. A spring has a natural length of 2 ft, and a force of 15 lb is required to hold it compressed at…

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Q: Problem 8. Find critical numbers of (1) f(x) = x³ - 3x² +1₁ (2) f(x)=x³/5(4- x).

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Q: The function f(x) = 2x³-36x² + 210x + 11 has one local minimum and one local maximum. Use a graph of…

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Q: Determine the local maximum and local minimum if exist. b. Find the inflection point if exist.

A: Solve the following

Q: Find curl F if F(x,y,z) = 16y5₂5i - 8x³₂8 j- 7xy4k. O curl F = (-28xy3 +64x³₂7)i + (7y4 + 80y5z4)j +…

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Q: Page < 4. The brightness of stars is expressed in terms of magnitudes on a numerical scale that…

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Q: tan(2x) x+02sin²(x) Evaluate: lim O a. ∞ O b. -∞ O c.0 O d.-1

A: We have to evaluate limx→0- tan2x2sin2x         Here two sided limit does not exist.…

Q: What is the cartesian form of the complex number: (-1-i√3)-4

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