Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS 1. Ус — Yp = y =

Q: Find all critical points of the function f(x) = sin-'(x) – 8x for –1 < x < 1. (Use symbolic notation…

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Q: 7 7 = 3, f(x)dx = 8, and g(x)dx = 5. Evaluate the following integrals. Sowar=s. 2 2 2 Sawak = -5 7…

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Q: Use Riemann Sum to find the area bounded by f(x) and the x – axis: f(x) = 4 – x² over [-2,2] x =…

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Q: Express the following sum.. using sigma notation. 1 d. 9 1 Σ 12 + + + 10 11 k= 1

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Q: 21 Given the function F(x) = x3 + 2x – 1, find the value F(-2).

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Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: A hot air balloon rising vertically is tracked by an observer located 5 km from the lift-off point.…

A: Given: x=5 km θ=π5 raddθdt=0.3 rad/min The person and the hot air balloon form a right triangle,…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: lim [f(x) – (x + 1)] = 0 • f is R\{2, –2} • f(1.5) = f(3) = 0 continuous • lim f(x) = -∞ on lim…

A: Given:-   To find:- Determine the intervals where the graph of f increasing/decreasing and concave…

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

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Q: Express the following sums using sigma notation. c. 12 + 22 + 32 + 4² 4 c. 12 + 22 + 32 + 4? = E k=…

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Q: The rectangular coordinates of a point are given. Plot the point. (-4/z, -4/2) y y 5 5 X -5 -5 -5 -5…

A: Here we will find the correct option and two sets ,

Q: Find two positive angles and two negative angles that are coterminal with the given angle and less…

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Q: Maximizing construction costs The management of the UNICO department store has decided to enclose an…

A: answer is in next step

Q: For the points P, (8,3,2) and P2(9,4,3), find the direction of P, P, and the midpoint of line…

A: Coordinate of P1 is (8,3,2) Coordinate of P2 is (9,4,3) We have to find the mid point and the…

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: Simplify the expression to the form a" where m is an integer. Find the value of m. Answer:

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Q: QUESTION 15 Not yet answe Find the domain and the vertical asymptotes, if any, of the following…

A: We have to find out the domain and asymptote

Q: Choose the quadrant in which the terminal side of this standard position angle is located: 105.7°…

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Q: 60 50 40 30 20 10 -10 10 20 30 Victoria is a lifeguard and spots a drowning child 30 meters along…

A: We need to find distance of jumping.

Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: | In (x + x²) dx

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Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: The following series is divergent: 7n-2 \" Σ n+5 n =1 Select one: O True O False

A: We can solve this as follows:

Q: BE-8- 1 (a) [. . | Determine if the vectors 0 and 1 span R° 3 (b;. | Can these three vectors form a…

A: (a)Her,e the matrix generated by the vectors is: 1000512-23

Q: B. Find the value of x for which Inx + (Inx)2 + (Inx)+ (Inx)* + = 9

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Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: Express the vector 2u + 5w in the form v = v,i+v2j+ V3k if u = (4, - 5, 2) and w= (-3, 2, - 4). 2u +…

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Q: Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is…

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Q: 3. V4- (x – 3)²dx.

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Q: Which of the following functions f : R → R is injective? o f(x) = x²,x E R O f(x) = c, c E Ris a…

A: Solving

Q: dy at x = 2 for the function below. dx Evaluate у%3D — 2и + 4и + 9, where u %3D 4x2 — бх + 5

A: Given that,    y=-2u3+4u+9, where u=4x2-6x+5

Q: Suppose a curve is defined by the equation 16(?2+?2)=45.16(x2+y2)=45. Show that if you translate the…

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Q: Find the sum of the first 7 terms of the following series, to the nearest integer. 6, 12/5, 24/25,

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Q: 3. Evaluate: lim -) x-0 (sinx

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Q: Solve the following indefinite integral. Show complete solutions. 1. S (9z² + 14z – 2) dz -

A: ∫(9z2+14z-2)dz

Q: Evaluate

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Q: Given the vectors v and u, answer a. through d. below. v= 6i + 2j- 3k u = 3i + 4j a. Find the dot…

A: We can find the dot product as below.

Q: Using Green's Theorem, evaluate (sin z – y) da + (a³ + e") dy where C'is the circle x2 + y = 4.…

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Q: Bacteria are reproducing in concentric rings in a petri dish. The circular area occupied by the…

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Q: 2 Find the definite integral fo5 tan(x)dx using strips of width for the trapezium rule correct to…

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Q: - If v1, v2 are 2 vectors in a vector space V such that 0 = 4v1 – 2vz. Then{v1, v2 } are linearly…

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Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

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Q: Question i a) [? *:): Determine whether the series 1 Σ n=1 (2n-1)4 is convergent or divergent. b) .…

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Q: Question 2 [ a) [ :Explain why the following series (-1)" 1 + n5/2 n= is Alternating. b) !n. J: Use…

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Q: Suppose the point 3 4 is on the curve sin x Siny C. where C is a constant. Use y the tangent line…

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Q: 4. A car maker finds that at a sticker price of $25,000 it can sell 3,600 cars a week in a…

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Q: x = y+ Vz? – y² O y = x cos(ln|æ|+ C) O y = = sin(ln|æ| + C) sin -In|피 3 C cos-" (2) – In|æ| =C

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Q: Identify the curve. x 2 + y 2 = 1 parabola circle point circle hyperbola ellipse

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