****** 0 Find the value. (Enter your answer in radians.) As x→ -1, the value of arcsin x → EN 2

Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan² x, when x →0. Using the Sandwich…

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Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: 2. f(t)=√t+ √VE

A: Domain of a function is defined as the set of values of input variable for which the function is…

Q: Simplify the expression by first getting common denominator, then pulling out any common factors in…

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Q: Find the domain and range of: 1) y = 2) y =√1-x², 3) y = x² - 2

A: We can find the domain and ranges in the below steps.

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: Find the composite function f(g(x)). 4. f(u) = 3u²+2u-6, g(x) = x + 2

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Q: Suppose F(x, y) = 9 sin() sin() - 9 cos( - and C is the curve from P to Qin the figure. Calculate…

A: Given that , F→x,y=9sinx2siny2i^-9cosx2cosy2j^      ......1 and the labeled points are P=3π2,-3π2 ,…

Q: Determine r'(x) if r(x) = (4*)6. Select the correct answer below: Or'(x) = 6(4*) 5 Or'(x) = 46x (4ln…

A: Solve the following

Q: 2. What is the average rate of change from x = 4 to 9 of f(x) = 200e-03x

A: We need to find average rate of change.

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

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Q: For the following function models the position s(t) of an object moving along a stright line, where…

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Q: The graph of f has a hole. The graph of f has a vertical asymptote. The graph of f has a…

A: Here let counter example. F(x) =x   There is no hole  There is no verticle asymptote

Q: Find the domain and range of: 1) y = 區 2) y =√1-x², 3) y = x² - 2

A: See this solution in below.

Q: You have $1,000 to deposit in the account for 1 year. Compare the following two offers. • Bank of…

A: The answer provided below has been developed in a clear step by step manner. Step: 1 A) Interest…

Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: Find the percent of increase or decrease to the nearest whole percent.  $8.00; $10.00

A: Percent of increase of a value= (new value - old value)*100/old value

Q: 9. (a) Use a graph to find a number 8 such that 1 In(x - 1) (b) What limit does part (a) suggest is…

A: We need to use the graphing utility to find the value of 'δ', to satisfy the following condition,…

Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan²x, when x →0. Using the Sandwich…

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Q: Given the integral from 0 to x of the function e-x^2dx: Find the summation form of its Maclaurin…

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Q: How many cups tall is the Blue Trophy ? Show a clear path to your solution. Making a Table and a…

A: Given- Trophy is 51.6 CM1 Cup is 9.5 CM2 Cups is 10 CM3 Cups 10.8 CM4 Cups 11.4 CM To find- How many…

Q: In Exercises 13-22, find equations of the tangent plane and normal line to the graph of the given…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. ecos.x = c(1- cos…

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Q: Solve the Differential Equations. 3.44 Test for homogeneity 3. f(x, y) tanx - sec²x - cosy

A: Let's find function is homogeneous or not.

Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

Q: (cos-14x)2 √1-16x² 5) S (t) - dx

A: To find out the integration.

Q: If A = 1=1 ²₁₂ 21₁B =[ ²¹/₂ 3 b) B.A c) A-2B a) 3A-C 3] -2 = [3²5] 4J and C= Find:

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Q: B. Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer…

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Q: (-2,4) y 2 у = 4 − x2 -

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Q: List the x values of the discontinuities of the function: 4 1+ e4/r y = X =

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Q: 2. y = ₁³x cos x + c₂e³ 3x Ge 3x sinx

A: Find out the differential equation by elimination of arbitrary constants.

Q: Solve the differential equation, such that the equation passes through the given point (x, y).…

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Q: 3 Evaluate Inverse Matrix A-¹ = −1 2 1 2 2-1 1 1

A: The given matrix A-1=312-12-1211 we have to find the inverse matrix of A-1. Inverse of an matrix:…

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: The average monthly sales volume (in thousands of dollars) for a firm depends on the number of hours…

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Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): x² 4 x -2 f(x) = { mx² 2 m = n =…

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Q: 1 (x²+4)² dx

A: To find out the integration.

Q: Change these fractions into decimals. Express each answer to three significant figures. Be sure to…

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Q: 3 3. y' for y² = x²y³

A: to find out the derivative

Q: 3 2. f(t) = (2t-1)-²; ƒ(1), ƒ(5), ƒ(13)

A: Given function is f(t)=(2t-1)-32 We need to find its value at, f(1), f(5), f(13)

Q: 4. 2y2 +8y - 10= 0

A: Given problem:- 4.   2y2+8y-10=0

Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: limx→0 sin 2x 2x²+x

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Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: ) find the following limits if exist:- x²+3x-4 x-1 limx-17

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Q: 1. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2 Ans: 2xy" - 4yy"…

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Q: Find the area of the segment cut off from the curve y = sinx, 0≤x≤nt by the line y = 1/√2. HT 1/2 y…

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Q: Let f(x) = √x + 6. Calculate the difference quotient f(10+h)-f(10) for h h = .1 h = h= h = .1 If…

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Q: -1 if x < -1 2. f(x) = 3x +2_if |x|<1 7-2x if x ≥ 1

A: Function