nts. The results of 120 parts are summarized as follows. Length Excellent Good 84 12 15 9 Surface finish Excellent Good

Q: Let f(x) { Calculate the following limits. Enter "DNE" if the limit do f(x) = 10- x - x² if x ≤ 4 if…

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Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e² 2 y = -1 4 X

A: Given graph:-

Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: 5.) Find the limit. When necessary, state that the limit does not exist. x² + 3x-18 lim Xx-3 x-9

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Q: O Find the result of the following: 1. (3-4)³=? (Put your result in polar form) 2. 0.602×[(9/2) =?…

A: Note as per guidelines we support only 3 subpart of the questions.kindly repost next question in…

Q: What does it mean, graphically and algebraically, for an equation to be even or odd? How would you…

A: we will do as required.

Q: 11) Evaluate the following integral. The letter H represents a constant. H (3x-4)²3 dx 0

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: 1. Determine (i) the order of each differential equation and (ii) whether they are linear or…

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Q: Find the shortest distance between the (entire) line L1 passing through the points A(1, 1, 2) and…

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Q: Question 2 19-√5 Part A: Given sin 8. determine three possible angles on the domain [0,0⁰). Part B:…

A: See the details solution in below

Q: Find the Solution to the Differential Equation (x+2y) dx - (2x-y) dy=0

A: The given differential equation, x+2ydx-2x-ydy=0 use the integral formulas,…

Q: b) If x(0)=5, what is x(1)?

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Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: We have given an equation. We have to find the x and y intercept. We have  y - 9xy + 9x = 1 To find…

Q: f(x) = 5x³ - 15x² + x - 30 Select the correct statement/s: A. f(x) is strictly convex on (-1, ∞) B.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative here derivative of…

Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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Q: t Find the measure of the angle between the two rectors in both radians and degrees. R = 2 Vectors…

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Q: d²p If +4 dq² dp +4p = 0, what would be the solution for the equation? dq

A: NOTE: Refresh your page if you can't see any equations. .

Q: 4. Find the total area bounded by given curve and the x-axis. 4a) y = 3x² + 1, 0≤x≤1 4c) y =

A: 4a) Given curve, y=3x2+1,                   0≤x≤1

Q: How do you simplify eiπ?

A: To find the value of eiπ   Formula:   By Euler's formula: eix = cos x +i sin x

Q: (6) Set up but do not evaluate the integral representing the volume of the region (circular…

A: Given Ellipse, ax2+by2=r2That isby2=r2-ax2y2=1b(r2-ax2) ax2+by2=r2Divide r2 on both…

Q: x² (d) S √1-4x² (HINT: sin² t = dx. (1. (1 - cos 2t).)

A: We have to evaluate ∫x21-4x2 dx.

Q: 2 xa tinh xx > 11/ash+²³1 +0

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Q: Use the cross product to find the area of the triangle with the vertices P = (1, 1,5), Q = (3, 4,…

A: NOTE: Refresh your page if you can't see any equations. . given 3 points are

Q: 6. f is a function that is differentiable for all reals. The value of f '(x) is given for several…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x and y = √√x about the…

A: In this question, we need to find the volume of the solid.

Q: If (0,4) and (1,6) are critical points of y=a+bc+cx³, find the valur of c. A. 1 B. C C. -1 D. -2

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Q: Using distance formula, prove the Apollonius' theorem that is in AABC, AB2+ AC² = 2 (AD² + BD2),…

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Q: f(x, y, z)= 1+ 2xy³+3y- Find the following: a) fz(x, y, z) b) f(1,1,1) c) fz(x, y, z) d) f.(1, 1, 1)

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 1. Solve the following initial value problems. (a) y = r cos(1²), y(√) = 1 (b) y" = r², y(0) = 3,…

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Q: Make a table of values for the equation. x + y² = 9 X Sketch a graph of the equation. у -2 -1 0 1 2

A: Substitute y=-2 in x+y2=9 and calculate the value of x.       x+y2=9x+-22=9       x+4=9…

Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…

A: See this solution in below.

Q: What is the dot product A•B if A=2x-3y and B=15x+10y?

A: We have to find dot product of A and B here

Q: -8; -11; -14; ... Determine T, the general term the number pattern.

A: Finding the general term of the sequence

Q: Question 1 What is the exact value of csc 0_213 0 2√3 O 0-√√2 02 (167) ²

A: Let's find value of given trigonometric function.

Q: Solve 273 (Q)dx if Q=0.85x² + 6x + 12 298

A: Given :∫298273QdxQ=0.85x2+6x+12

Q: Given AABC, what is the m48? 6.309 35 39 808 54 903 90 0679 11 9

A: We have to find angle B.

Q: Values of f(x) at selected values of x are shown in the table. X -2.75 -2.1 -2.01 -1.99 -1.9 -1.25…

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Q: 1. Prove the following limits xy lim (x,y)→(0,0) √x²+y² x³+y³ D) E) lim (x,y)→(0,0) F) x²+y² x² - y²…

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Q: The figure above is the graph of the function m(t). Let n(t) = m(t) + 2, k(t) = m(t + 1.5),w(t) =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the point (-2.5,-1) is on…

Q: A water container has an open top and is accelerating at a = 4.4 m/s² along a slope with an…

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Q: Your friends, Fernando and Amelia, each own a video game designer company. They both want you to…

A: Given: in part time job making $8.00 per hour. Femando offers to pay you $15 per hour for the first…

Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

Q: A positive angle less than 360° that is coterminal to -111° is

A: To find a positive coterminal angle, one should add 360o to the given angle.

Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

Q: 20. An aquarium contains 10 gallons of polluted water. A filter is attached to this aquarium which…

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Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0

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Q: 6. 7. ay=7x+1 1 y || 1 x

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Q: For each scatter plot, decide what type of function you might choose as a model for the data. (a) ya…

A: Graphs

Q: The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of…

A: Given P = −0.2N2 + 3.6N − 9

Q: Consider the function defined as follows: f(x) = 5x² - 8x + 10. f(3+h)-f(3) h as happroaches zero.…

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