4) Evalvate the integral E 4 1+x² dx

Q: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

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A: Topic = Integration

Q: 8. Evaluate a) 1 729 3 (221 (9) -1) X 1 b) 1 이름 이영

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Q: Write the following expression as a single logarithm and simplify. log3 27+ log3 6 log3 2

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Q: 1. (a) f(-2) (cf (1) ๆ -3 (b) f(−1) (d) f(1.5) 3

A: The graph of the function is:

Q: (b) 1 3 -6 1 -2 05 Find (i) K if C D¹ C = 10K If D= C: third coulum of D and I: unit matrix (ii) a…

A: The given matrix is; D= 1 -2 0       3 -6 1      -2 0 5.

Q: 1. 3. 2. y 4.

A: If in a graph of a function a vertical line at any point of graph intersect a curve more than once…

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Q: y sinx - xy² = C

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Q: 5TT Convert the angle from radians to degrees. 4 5T 4 = degrees Convert the angle 210° to radians.…

A: conversion from radian to degree=number of radian×180°π

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Q: Find each of the following functions and their domains. f(x) = x / 8+x g(x) = sin(4x)   a. f ∘ g b.…

A: As per bartleby guidelines we only give first three questions answers.  Please repost for other…

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Q: - Given the functions f(x) = x² + 1and g(x) = 3 − x, determine an equation for the combined function…

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Q: 1 1 1 6⁹ 9' 5' 1 24 24⁹ 40 and 5 12

A: Given fractions:- 16, 19, 15, 124, 140, and 512

Q: Find the limit L. Then use the - definition to prove that the limit is L. lim √√x x →0 L = Use the -…

A: To find the given limit L. Then by using ε‐δ definition to prove that the limit is L.limx→0 x3

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] f(x)…

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Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 5 radians is…

A: Given Radius of circle is 8 miles Central angle = 5 radian

Q: W 2 2 -2

A: First we figure out the parent function of above graph.

Q: 5п Convert the angle from radians to degrees. 4 5T 4 degrees Convert the angle 210° to radians. Give…

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Q: 2. a Note: Triangle may not be drawn to scale. Given the triangle above, answer the following: sin…

A: The given right triangle has measure angles A and B and sides 2 and 11 use trigonometric ratio, sin…

Q: Differential Equations Obtain the general Solution of xcos2ydx + tanydy = 0

A: Topic =Differential Equations

Q: function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x). (C) lim f(x), and…

A: Given query is to find the Indicated limits for the function.

Q: 1-A) Express the result of the following complex number expressions in both rectangular Re+j Im )…

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Q: Given the vectors p = [-2,3,5] and a = [4,-1,4], find a) p.a b) the angle between p and a c) the…

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Q: Show that the surface area of a sphere with radius a equals 4ra². r(u, v)= (a sin u cos v, a sin u…

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Q: The cost in dollars if making x items is given by the function C=10x+4 (b) What is the cost of 35…

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Q: PART B (3.21x1043.21×104 )(0.2506) Express your answer in appropriate significant figures.…

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Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: 1. Give an example to show that vectors are not commutative under the cross product operation.…

A: According to bartleby guidelines we can solve one question per request. Please re-post the other…

Q: Solve the equation O a) x = = ± √5 O b) X = X x+1 −5+2√/5 2 c) x=0, x=5 O d) no solution = 5 x+5

A: Given, xx+1=5x+5

Q: What is the particular solution of ayda (+2) dy=0 when z = 0 and y = 1? O e* = 4y(x + 2)² ○ 4e* =…

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Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax→0

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve. 63x-736-1 O a) 5 0 b) 2 0c) 9 d) 3

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Q: You are also given a translation of the graph of y = |x + 11. -10-8-6-4-2 ⁹⁰ Write an equation for…

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Q: (a) If A=[ay] is a 3x3 matrix; such that ay = i (4-²), find the values of diagonal elements and the…

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: For what interval(s) is the graph of the rational function negative? I I y 8 4

A: A graph of a function is called negative when it is below x-axis.

Q: 13-y ≤ 8( カート f

A: 13-y≤8(y-4)

Q: Three runners compete in a 200-meter race. The graph depicts the distance run as a function of time…

A: running distance =200m

Q: (4-x-x² if x ≤1 if x > 1 2x 5 Calculate the following limits. Enter "DNE" if the limit does not…

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Q: The graph of y = tanx has vertical asymptotes at certain values of x becaus tangent ratio is at…

A: We have function y=tanx which can be written as  y=sinxcosx

Q: Determine the amplitude of the sinusoidal function π -3 sin [2(x - )] +1 3 Y = a) 2 b) 3 Oc) -3 d) 3

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Q: Given that 3 -2 1 A= 5 0-2, B = 40 1 14 Evaluate T -3A + 2B 81 -2 4 2 9 -

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Q: 1 z+1 if x − 1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = lim…

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Q: 10. What is the amplitude of the function f(x) a. 12 b. 5 c. 4√10 = 3(sinx) + (4cosx)? d. 3√10

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Q: Differential Equations Obtain the General Solution of (1+lnx)dx+(1+lny)dy = 0

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Q: ³√√x - 1 lim X→1 X-1

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Q: Seven people are arranged in a line. What is the probability that two specific people, say A and B,…

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Q: 2. What is the period of the trigonometric function given by f(x) a. 플 b. 2π C. T d. 3 = 3sin(2x)?

A: This question is based on trigonometry function